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{{ååŸ|[[äžåç£ç»èšèŠå]]|[[äžåç£ç»èšèŠå#s3|第3ç« ç»èšæç¶]]<br>[[äžåç£ç»èšèŠå#s3-4|第4ç¯ è£å]]<br>[[äžåç£ç»èšèŠå#s3-4-1|第1欟 éç¥]]|[[äžåç£ç»èšèŠå第180æ¡]]<br>ïŒæææš©ã«é¢ããä»®ç»èšã«åºã¥ãæ¬ç»èšïŒ|[[äžåç£ç»èšèŠå第182æ¡]]<br>ïŒç»èšå®äºèšŒã®äº€ä»ã®æ¹æ³ïŒ}}
{{stub}}
[[category:äžåç£ç»èšèŠå|181]]
| null |
2013-03-06T22:53:56Z
|
[
"ãã³ãã¬ãŒã:ååŸ",
"ãã³ãã¬ãŒã:Stub"
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https://ja.wikibooks.org/wiki/%E4%B8%8D%E5%8B%95%E7%94%A3%E7%99%BB%E8%A8%98%E8%A6%8F%E5%89%87%E7%AC%AC181%E6%9D%A1
|
14,967 |
äžåç£ç»èšèŠå第182æ¡
|
æ³åŠ>æ°äºæ³>ã³ã³ã¡ã³ã¿ãŒã«äžåç£ç»èšæ³>äžåç£ç»èšä»€>äžåç£ç»èšèŠå>äžåç£ç»èšäºååæ±æç¶æºå
(ç»èšå®äºèšŒã®äº€ä»ã®æ¹æ³)
|
[
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"text": "æ³åŠ>æ°äºæ³>ã³ã³ã¡ã³ã¿ãŒã«äžåç£ç»èšæ³>äžåç£ç»èšä»€>äžåç£ç»èšèŠå>äžåç£ç»èšäºååæ±æç¶æºå",
"title": ""
},
{
"paragraph_id": 1,
"tag": "p",
"text": "(ç»èšå®äºèšŒã®äº€ä»ã®æ¹æ³)",
"title": "æ¡æ"
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æ³åŠïŒæ°äºæ³ïŒã³ã³ã¡ã³ã¿ãŒã«äžåç£ç»èšæ³ïŒäžåç£ç»èšä»€ïŒäžåç£ç»èšèŠåïŒäžåç£ç»èšäºååæ±æç¶æºå
|
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==æ¡æ==
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#ç»èšå®äºèšŒã®äº€ä»ã¯ãæ³å倧è£ãå¥ã«å®ããå Žåãé€ããæ¬¡ã®åå·ã«æ²ããç³è«ã®åºåã«å¿ããåœè©²åå·ã«å®ããæ¹æ³ã«ããã
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{{ååŸ|[[äžåç£ç»èšèŠå]]|[[äžåç£ç»èšèŠå#s3|第3ç« ç»èšæç¶]]<br>[[äžåç£ç»èšèŠå#s3-4|第4ç¯ è£å]]<br>[[äžåç£ç»èšèŠå#s3-4-1|第1欟 éç¥]]|[[äžåç£ç»èšèŠå第181æ¡]]<br>ïŒç»èšå®äºèšŒïŒ|[[äžåç£ç»èšèŠå第182æ¡ã®2]]<br>ïŒç»èšãå®äºããæšã®éç¥ãèŠããªãå ŽåïŒ}}
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[[category:äžåç£ç»èšèŠå|182]]
| null |
2013-03-06T22:55:20Z
|
[
"ãã³ãã¬ãŒã:ååŸ",
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https://ja.wikibooks.org/wiki/%E4%B8%8D%E5%8B%95%E7%94%A3%E7%99%BB%E8%A8%98%E8%A6%8F%E5%89%87%E7%AC%AC182%E6%9D%A1
|
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(ç³è«äººä»¥å€ã®è
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|
[
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"text": "æ³åŠ>æ°äºæ³>ã³ã³ã¡ã³ã¿ãŒã«äžåç£ç»èšæ³>äžåç£ç»èšä»€>äžåç£ç»èšèŠå>äžåç£ç»èšäºååæ±æç¶æºå",
"title": ""
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"text": "(ç³è«äººä»¥å€ã®è
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"title": "æ¡æ"
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{{ååŸ|[[äžåç£ç»èšèŠå]]|[[äžåç£ç»èšèŠå#s3|第3ç« ç»èšæç¶]]<br>[[äžåç£ç»èšèŠå#s3-4|第4ç¯ è£å]]<br>[[äžåç£ç»èšèŠå#s3-4-1|第1欟 éç¥]]|[[äžåç£ç»èšèŠå第182æ¡ã®2]]<br>ïŒç»èšãå®äºããæšã®éç¥ãèŠããªãå ŽåïŒ|[[äžåç£ç»èšèŠå第184æ¡]]<br>ïŒåŠåã®å¶éã®ç»èšã«ãããéç¥ïŒ}}
{{stub}}
[[category:äžåç£ç»èšèŠå|183]]
| null |
2013-03-06T22:57:07Z
|
[
"ãã³ãã¬ãŒã:ååŸ",
"ãã³ãã¬ãŒã:Stub"
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https://ja.wikibooks.org/wiki/%E4%B8%8D%E5%8B%95%E7%94%A3%E7%99%BB%E8%A8%98%E8%A6%8F%E5%89%87%E7%AC%AC183%E6%9D%A1
|
14,975 |
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ãŸãã¯ããããåå€ã§ããããšã蚌æããã
逿³ã®åçã«åºã¥ããŠã a = c q + r ( 0 ⊠r < c ) , b = c q â² + r â² ( 0 ⊠r â² < c ) {\displaystyle a=cq+r\ \ (0\leqq r<c),\ \ \ b=cq'+r'\ \ (0\leqq r'<c)} ãšããããŸãã1 ã®æå³ã§ååãããªãã¡ r = r Ⲡ⯠( 1 ) {\displaystyle r=r'\cdots (1)}
ãªãã°ã2 ã®æå³ã§ååã§ããããšã蚌æããã
a â b = ( c q + r ) â ( c q â² + r â² ) = c ( q â q â² ) ( âµ ( 1 ) ) {\displaystyle {\begin{aligned}a-b&=(cq+r)-(cq'+r')&=c(q-q')\ \ \ (\because (1))\end{aligned}}}
ããã1 ã®æå³ã§åå â 2 ã®æå³ã§åå
次ã«ã1 ã®æå³ã§ååã§ãªããããªãã¡ r â r Ⲡ⯠( 2 ) {\displaystyle r\neq r'\cdots (2)} ãªãã°ã2 ã®æå³ã§ååã§ãªãããšã蚌æããã
a â b = ( c q + r ) â ( c q â² + r â² ) = c ( q â q â² ) + ( r â r â² ) {\displaystyle {\begin{aligned}a-b&=(cq+r)-(cq'+r')&=c(q-q')+(r-r')\end{aligned}}}
ãã®ãšãã ( 2 ) ⺠r â r â² â 0 {\displaystyle (2)\iff r-r'\neq 0} ããã a â b {\displaystyle a-b} 㯠c {\displaystyle c} ã§å²ãåããªãã
ãããã£ãŠã1 ã®æå³ã§ååã§ãªã â 2 ã®æå³ã§ååã§ãªã
以äžãããã1 ã®æå³ã§åå â 2 ã®æå³ã§ååãã蚌æãããã
逿³ã®åçãããã©ã®æŽæ°ã n ãæ³ãšããŠãn ã§å²ã£ãäœããšååã§ãããã€ãŸã n ãæ³ãšã㊠0 , 1 , ... , n â 1 {\displaystyle 0,1,\ldots ,n-1} ã®ãããããšååã§ããã
ã¬ãŠã¹ã¯ãååã«ã¯ = {\displaystyle =} ãšéåžžã«ããäŒŒãæ§è³ªãããããæ¡çšããããšè¿°ã¹ãŠããããã®å
·äœçãªæ§è³ªãæ¬¡ã«æããå®çã§ããã
(i) (åå°åŸ) a â¡ a ( mod n ) {\displaystyle a\equiv a\ \ {\pmod {n}}} (ii) (察称åŸ) a â¡ b â b â¡ a ( mod n ) {\displaystyle a\equiv b\Rightarrow b\equiv a{\pmod {n}}} (iii)(æšç§»åŸ) a â¡ b â§ b â¡ c â a â¡ c ( mod n ) {\displaystyle a\equiv b\wedge b\equiv c\Rightarrow a\equiv c\ \ {\pmod {n}}} (iv) a â¡ b â§ c â¡ d â a ± c â¡ b ± d ( mod n ) {\displaystyle a\equiv b\wedge c\equiv d\Rightarrow a\pm c\equiv b\pm d\ \ \ {\pmod {n}}} (v) a â¡ b â§ c â¡ d â a c â¡ b d ( mod n ) {\displaystyle a\equiv b\wedge c\equiv d\Rightarrow ac\equiv bd\ \ \ {\pmod {n}}} (vi) a b â¡ a c â§ gcd ( a , n ) = 1 â b â¡ c ( mod n ) {\displaystyle ab\equiv ac\wedge \gcd(a,n)=1\Rightarrow b\equiv c\ \ {\pmod {n}}} (vii) f ( a , b , c , ⯠) {\displaystyle f(a,b,c,\cdots )} ãæŽæ°ä¿æ°å€é
åŒãšããã°ã a â¡ a â² , b â¡ b â² , c â¡ c â² , ⯠â f ( a , b , c , ⯠) â¡ f ( a â² , b â² , c â² , ⯠) ( mod n ) {\displaystyle a\equiv a',b\equiv b',c\equiv c',\cdots \Rightarrow f(a,b,c,\cdots )\equiv f(a',b',c',\cdots )\ \ {\pmod {n}}} (viii) gcd ( a , n ) = 1 {\displaystyle \gcd(a,n)=1} ãªãã°ä»»æã®æŽæ° b {\displaystyle b} ã«å¯Ÿãã a k â¡ b ( mod n ) {\displaystyle ak\equiv b{\pmod {n}}} ãšãªã k {\displaystyle k} ãååšã n {\displaystyle n} ãæ³ãšããŠãã 1ã€ã«å®ãŸã(ã€ãŸã k {\displaystyle k} ã n {\displaystyle n} ã§å²ã£ãäœãã1ã€ã«å®ãŸã)ã
蚌æ (i) a â a = 0 {\displaystyle a-a=0} ã¯å
šãŠã®æŽæ°ã§å²ãåããããããã£ãŠã a â¡ a ( mod n ) {\displaystyle a\equiv a\ {\pmod {n}}}
(ii) b â a = â 1 ( a â b ) {\displaystyle b-a=-1(a-b)} ãªã®ã§ã n | a â b â p | b â a {\displaystyle n\,|\,a-b\Rightarrow p\,|\,b-a} ãããã£ãŠå®çŸ©ãã a â¡ b â b â¡ a ( mod n ) {\displaystyle a\equiv b\Rightarrow b\equiv a{\pmod {n}}}
(iii) (ii) ãã a â¡ b â§ b â¡ c â a â¡ b â§ c â¡ b ( mod n ) {\displaystyle a\equiv b\wedge b\equiv c\Rightarrow a\equiv b\wedge c\equiv b\ \ {\pmod {n}}}
a â c = ( a â b ) â ( c â b ) {\displaystyle a-c=(a-b)-(c-b)} ãããå®ç 1.1 ãã n | a â b , c â b â n | a â c {\displaystyle n\,|\,a-b,c-b\Rightarrow n\,|\,a-c}
⎠a ⡠c ( mod n ) {\displaystyle \therefore a\equiv c\ \ {\pmod {n}}}
(iv) a â¡ b â§ c â¡ d ( mod n ) ⺠n | a â b , c â d {\displaystyle a\equiv b\wedge c\equiv d\ {\pmod {n}}\iff n\,|\,a-b,c-d}
å®ç 1.1 ãã n | ( a â b ) + ( c â d ) ⺠n | ( a + c ) â ( c + d ) ⺠a + c â¡ b + d ( mod n ) {\displaystyle n\,|\,(a-b)+(c-d)\iff n|(a+c)-(c+d)\iff a+c\equiv b+d\ \ \ {\pmod {n}}}
ãã€ãã¹ã®æ¹ã«ã€ããŠã¯ã a â¡ b â â a â¡ â b ( mod n ) {\displaystyle a\equiv b\Rightarrow -a\equiv -b\ \ {\pmod {n}}} ãå©çšããã°è¯ãã
å ãã€ãã¹ã®æ¹ã蚌æããã
(v) b d â a c = b d + a d â a c â a d = d ( a â b ) + a ( c â d ) ⯠( 1 ) {\displaystyle {\begin{aligned}bd-ac&=bd+ad-ac-ad\\&=d(a-b)+a(c-d)\cdots (1)\end{aligned}}}
ããã§ã a â¡ b â§ c â¡ d ( mod n ) {\displaystyle a\equiv b\wedge c\equiv d\ \ {\pmod {n}}} ã§ããããšããã a â b = n q , c â d = n r {\displaystyle a-b=nq,c-d=nr} ãšããããããšã
( 1 ) ⺠b d â a c = d n q + a n r ⺠b d â a c = n ( d q + a r ) ⺠b d â¡ a c ( mod n ) â a c â¡ b d ( mod n ) ( âµ ( i i ) ) {\displaystyle {\begin{aligned}(1)&\iff bd-ac=dnq+anr\\&\iff bd-ac=n(dq+ar)\\&\iff bd\equiv ac\ \ {\pmod {n}}\\&\Rightarrow ac\equiv bd\ \ {\pmod {n}}(\because (ii))\end{aligned}}}
(vi) a b â a c | n ⺠a ( b â c ) | p {\displaystyle ab-ac\,|\,n\iff a(b-c)\,|\,p}
ããã§ã ( a , n ) = 1 {\displaystyle (a,n)=1} ãªã®ã§å®ç 1.6 ãã b â c | n ⺠b â¡ c ( mod p ) {\displaystyle b-c\,|\,n\iff b\equiv c\ \ {\pmod {p}}}
(vii) a â¡ b â a k â¡ b k ( mod p ) {\displaystyle a\equiv b\Rightarrow a^{k}\equiv b^{k}\ \ {\pmod {p}}} ããŸãã¯èšŒæãããããã¯ã
a k â b k = ( a â b ) ( a k â 1 + a k â 2 b + a k â 3 b 2 + ⯠+ a 2 b k â 3 + a b k â 2 + b k â 1 ) {\displaystyle a^{k}-b^{k}=(a-b)(a^{k-1}+a^{k-2}b+a^{k-3}b^{2}+\cdots +a^{2}b^{k-3}+ab^{k-2}+b^{k-1})} ãš a â b {\displaystyle a-b} ãå æ°ã«æã€ããšããèªæã§ãã((v) ã䜿ããåž°çŽçã«èšŒæããããšãã§ãã)ã
ããŠãå€å€æ°ã®æŽæ°ä¿æ°å€é
åŒãšã¯ãããªãã¡ã a k b l c m ⯠{\displaystyle a^{k}b^{l}c^{m}\cdots } ã®ç·åã§ãããå
ã»ã©èšŒæããããšããã
a â¡ a â² , b â¡ b â² , c â¡ c Ⲡ⯠â a k â¡ a â² k , b l â¡ b â² l , c m â¡ c â² m , ⯠( mod p ) {\displaystyle a\equiv a',b\equiv b',c\equiv c'\cdots \Rightarrow a^{k}\equiv a'^{k},b^{l}\equiv b'^{l},c^{m}\equiv c'^{m},\cdots \ \ {\pmod {p}}}
ãããã£ãŠã(v) ãç¹°ãè¿ã䜿ãã°ãäžã€ã®é
ã«ã€ããŠããã¯æ£ããããŸãããããã®é
ã®ç·åã f ( a , b , c , ⯠) {\displaystyle f(a,b,c,\cdots )} ãªã®ã ããã(iv) ãç¹°ãè¿ã䜿ã£ãŠããã蚌æãããã
(viii) å®ç 1.8 ããããã®ãã㪠k {\displaystyle k} ãååšãã n {\displaystyle n} ãæ³ãšããŠ1ã€ã«å®ãŸãããšãããã«åŸã(ãªã (vi) ããã a k â¡ a l â¡ b ( mod n ) {\displaystyle ak\equiv al\equiv b{\pmod {n}}} ãªãã° k â¡ l ( mod n ) {\displaystyle k\equiv l{\pmod {n}}} ã§ãããã n {\displaystyle n} ãæ³ãšããŠ1ã€ã«å®ãŸãããšãããã)ã
å 12345ã7ã§å²ã£ãäœããæ±ããã
ãããåååŒãçšããŠè§£ããŠã¿ããã
12345 â¡ 4 ( mod 7 ) {\displaystyle 12345\equiv 4\ \ {\pmod {7}}} ã§ãããããå®ç 2.1 (vii) ãçšããŠã 12345 6 â¡ 4 6 â¡ 16 3 ( mod 7 ) {\displaystyle 12345^{6}\equiv 4^{6}\equiv 16^{3}\ \ {\pmod {7}}}
ããã§åã³ã 16 â¡ 2 ( mod 7 ) {\displaystyle 16\equiv 2{\pmod {7}}} ã ããã 16 3 â¡ 2 3 â¡ 1 ( mod 7 ) {\displaystyle 16^{3}\equiv 2^{3}\equiv 1\ \ {\pmod {7}}}
ãšãªããçŽæ¥èšç®ããããããªãç°¡åã«æ±ãŸã£ãã
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äŸ 1 1幎ã®éã«ã¯å¿
ã13æ¥ã®éææ¥ã蚪ãããããã«ã1幎ã®éã«13æ¥ã¯æ¥ææ¥ããåææ¥ãŸã§ã®ãã¹ãŠã®ææ¥ãåãã1æ13æ¥ã 7 ãæ³ãšã㊠0 ãšååãšãªãããã«ãåææ¥ã 7 ãæ³ãšããŠåé¡ãããšã1æ13æ¥ãã12æ13æ¥ãŸã§ã¯ãããã 7 ãæ³ãšããŠ
ãšååãšãªãããã£ãŠãããã®å Žåã 0 ãã 6 ãŸã§å
šãŠçŸããã®ã§1幎ã®éã«(ããæ£ç¢ºã«ã1æãã10æã®éã«)13æ¥ã¯æ¥ææ¥ããåææ¥ãŸã§ã®ãã¹ãŠã®ææ¥ãåãã
äŸ 2 å¹³æ¹æ°ã 3 ã§å²ã£ãäœã㯠0 ãŸã㯠1 ã§ãªããã°ãªããªããã€ãŸã 3 k + 2 {\displaystyle 3k+2} ã®åœ¢ã®å¹³æ¹æ°ã¯ååšããªãã 0 2 â¡ 0 ( mod 3 ) , 1 2 â¡ 2 2 â¡ 1 ( mod 3 ) {\displaystyle 0^{2}\equiv 0{\pmod {3}},1^{2}\equiv 2^{2}\equiv 1{\pmod {3}}} ãªã®ã§ n ã 3 ã§å²ã£ãäœãã 0 ãªãã° n 2 â¡ 0 ( mod 3 ) {\displaystyle n^{2}\equiv 0{\pmod {3}}} ã§ãããã§ãªããšã㯠n 2 â¡ 1 ( mod 3 ) {\displaystyle n^{2}\equiv 1{\pmod {3}}} ãšãªãããã§ãããåæ§ã«ããŠå¹³æ¹æ°ã 4 ã§å²ã£ãäœã㯠0 ãŸã㯠1 ã§ãªããã°ãªããªããã€ãŸã 4 k + 2 {\displaystyle 4k+2} ããã㯠4 k + 3 {\displaystyle 4k+3} ã®åœ¢ã®å¹³æ¹æ°ã¯ååšããªãã
ããã䜿ããçŽ æ°ã®ååžã«ã€ããŠã次ã®äºå®ã蚌æã§ããã
äŸ 3 4 n + 3 {\displaystyle 4n+3} ã®åœ¢ã®çŽ æ°ã¯ç¡éã«å€ãååšãã 6 n + 5 {\displaystyle 6n+5} ã®åœ¢ã®çŽ æ°ãç¡éã«å€ãååšããã
蚌æ ä»»æã®çŽ æ° p ã«å¯Ÿãããããã倧ããªãäžãããã圢ã®çŽ æ°ãååšããããšã蚌æããã°ããã q = 2 2 â
3 â
5 ⯠p â 1 {\displaystyle q=2^{2}\cdot 3\cdot 5\cdots p-1} ãšãããš q â¡ 3 ( mod 4 ) {\displaystyle q\equiv 3{\pmod {4}}} ã〠q â¡ 5 ( mod 6 ) {\displaystyle q\equiv 5{\pmod {6}}} ã§ããã q {\displaystyle q} ã®çŽ å æ°ã p 1 , p 2 , ... , p r {\displaystyle p_{1},p_{2},\ldots ,p_{r}} ãšããã ãããããã¹ãŠ 4 ãæ³ãšã㊠1 ãšååãªãã° q = p 1 p 2 ⯠p r â¡ 1 ( mod 4 ) {\displaystyle q=p_{1}p_{2}\cdots p_{r}\equiv 1{\pmod {4}}} ãšãªãã q â¡ 3 ( mod 4 ) {\displaystyle q\equiv 3{\pmod {4}}} ã«ççŸããã ãã£ãŠ p i â¡ 3 ( mod 4 ) {\displaystyle p_{i}\equiv 3{\pmod {4}}} ãšãªã pi ãååšããã q = 2 2 â
3 â
5 ⯠p â 1 {\displaystyle q=2^{2}\cdot 3\cdot 5\cdots p-1} 㯠2 , 3 , 5 , ... , p {\displaystyle 2,3,5,\ldots ,p} ã®ããããšãäºãã«çŽ ã ãã p i > p {\displaystyle p_{i}>p} ã§ãªããã°ãªããªããåæ§ã« p 1 , p 2 , ... , p r {\displaystyle p_{1},p_{2},\ldots ,p_{r}} ããã¹ãŠ 6 ãæ³ãšã㊠1 ãšååãªãã° q = p 1 p 2 ⯠p r â¡ 1 ( mod 6 ) {\displaystyle q=p_{1}p_{2}\cdots p_{r}\equiv 1{\pmod {6}}} ãšãªãã q â¡ 5 ( mod 6 ) {\displaystyle q\equiv 5{\pmod {6}}} ã«ççŸããããã£ãŠ p j â¡ 5 ( mod 6 ) {\displaystyle p_{j}\equiv 5{\pmod {6}}} ãšãªã pj ãååšãã p j > p {\displaystyle p_{j}>p} ã§ãªããã°ãªããªãã
äŸ 2 ã¯å¹³æ¹æ°ãããæ°ã§å²ã£ãäœããã©ã®ãããªæ°ã«ãªãããšãã§ããã©ã®ãããªæ°ã«ãªãåŸãªãããšããåé¡ã«äžè¬åã§ãããããã衚ãããã®ãå¹³æ¹å°äœã§ãããããã«äžè¬ã®çޝä¹ã«æ¡åŒµãããã®ãã¹ãå°äœã§ããã
ãŸãã2ã€ã®å€é
åŒ f ( x ) , g ( x ) {\displaystyle f(x),g(x)} ã n {\displaystyle n} ãæ³ãšããŠååãšã¯ããã®åä¿æ°ããã¹ãŠ n {\displaystyle n} ãæ³ãšããŠååã§ããããšããããåååŒã«é¢ããå®ç 2.1.1. (i)-(v) ã¯å€é
åŒã«å¯ŸããŠããã®ãŸãŸæãç«ã€ããšã容æã«ããããå®éãäŸãã° f 1 ( x ) â¡ g 1 ( x ) ( mod n ) , f 2 ( x ) â¡ g 2 ( x ) ( mod n ) {\displaystyle f_{1}(x)\equiv g_{1}(x){\pmod {n}},f_{2}(x)\equiv g_{2}(x){\pmod {n}}} ãªãã° f 1 ( x ) = g 1 ( x ) + n h 1 ( x ) , f 2 ( x ) â¡ g 2 ( x ) + n h 2 ( x ) {\displaystyle f_{1}(x)=g_{1}(x)+nh_{1}(x),f_{2}(x)\equiv g_{2}(x)+nh_{2}(x)} ãšãªãæŽæ°ä¿æ°ã®å€é
åŒ h 1 ( x ) , h 2 ( x ) {\displaystyle h_{1}(x),h_{2}(x)} ãååšãããã f 1 ( x ) f 2 ( x ) â¡ g 1 ( x ) g 2 ( x ) + n ( g 1 ( x ) h 2 ( x ) + g 2 h 1 ( x ) ) + n 2 h 1 ( x ) h 2 ( x ) â¡ g 1 ( x ) g 2 ( x ) ( mod n ) {\displaystyle f_{1}(x)f_{2}(x)\equiv g_{1}(x)g_{2}(x)+n(g_{1}(x)h_{2}(x)+g_{2}h_{1}(x))+n^{2}h_{1}(x)h_{2}(x)\equiv g_{1}(x)g_{2}(x){\pmod {n}}} ãæãç«ã€ã
ååæ¹çšåŒãšã¯ãå€é
åŒ f ( x ) {\displaystyle f(x)} ãšããæŽæ° n {\displaystyle n} ã«ãããæ³ã«ã€ããŠã f ( x ) â¡ 0 ( mod n ) {\displaystyle f(x)\equiv 0{\pmod {n}}} ãšãã圢ã®åŒã§ãããå®ç 2.1.1 ãã a â¡ b â f ( a ) â¡ f ( b ) ( mod n ) {\displaystyle a\equiv b\Rightarrow f(a)\equiv f(b){\pmod {n}}} ã ããã 0 , 1 , ⯠, n â 1 {\displaystyle 0,1,\cdots ,n-1} ãŸã§å
šãŠä»£å
¥ããŠç¢ºãããŠã¿ãã°åççã«ã¯è§£ããã®ã§ããã
f ( x ) = a n x n + a n â 1 x n â 1 + ⯠+ a 1 x + a 0 {\displaystyle f(x)=a_{n}x^{n}+a_{n-1}x^{n-1}+\cdots +a_{1}x+a_{0}} ã«ã€ããŠãåä¿æ° a γ {\displaystyle a_{\gamma }} ãä»ã®ååãªæ°ã§çœ®ãæããŠãè¯ããç¹ã«ãæ³ k {\displaystyle k} ã§å²ãåãããšãã¯ããã®é
ãæ¶å»ããŠãè¯ãããã®æäœããããšãã a n ⢠0 ( mod k ) {\displaystyle a_{n}\not \equiv 0{\pmod {k}}} ã®ãšãããã®åååŒã n 次ãšããã åååŒ f ( x ) â¡ 0 ( mod k ) {\displaystyle f(x)\equiv 0{\pmod {k}}} ã n 次ã§ããããšã®å¿
èŠååæ¡ä»¶ã¯ f ( x ) â¡ g ( x ) ( mod k ) {\displaystyle f(x)\equiv g(x){\pmod {k}}} ãšãªãå€é
åŒ g ( x ) {\displaystyle g(x)} ã®äžã§æäœæ¬¡æ°ã®ãã®ã n 次ã§ããããšã§ããããã®ãã㪠g ( x ) {\displaystyle g(x)} ã®æé«æ¬¡ãã€ãŸã n 次ã®ä¿æ°ã¯ k {\displaystyle k} ã§å²ãåããªã(å²ãåãããªãã°ããã®ä¿æ°ãæ¶å»ããããšã§ãããã«äœã次æ°ã®ã f ( x ) {\displaystyle f(x)} ãšååãªå€é
åŒããšããããã§ãã)ã
p {\displaystyle p} ãçŽ æ°ãšãããšã f ( x ) â¡ 0 ( mod p ) {\displaystyle f(x)\equiv 0{\pmod {p}}} ã m 次ã®åååŒã§ã g ( x ) â¡ 0 ( mod p ) {\displaystyle g(x)\equiv 0{\pmod {p}}} ã n 次ã®åååŒã§ãããšã f ( x ) g ( x ) â¡ 0 ( mod p ) {\displaystyle f(x)g(x)\equiv 0{\pmod {p}}} 㯠m+n 次ã®åååŒã§ãããå®é f ( x ) = p f 0 ( x ) + f 1 ( x ) , g ( x ) = p g 0 ( x ) + g 1 ( x ) {\displaystyle f(x)=pf_{0}(x)+f_{1}(x),g(x)=pg_{0}(x)+g_{1}(x)} ãšãªãããã« m次ã®å€é
åŒ f 1 ( x ) = a m x m + a m â 1 x m â 1 + ⯠{\displaystyle f_{1}(x)=a_{m}x^{m}+a_{m-1}x^{m-1}+\cdots } ãš n 次ã®å€é
åŒ g 1 ( x ) = b n x n + b n â 1 x n â 1 + ⯠{\displaystyle g_{1}(x)=b_{n}x^{n}+b_{n-1}x^{n-1}+\cdots } ããšãã° f ( x ) g ( x ) â¡ f 1 ( x ) g 1 ( x ) ( mod p ) {\displaystyle f(x)g(x)\equiv f_{1}(x)g_{1}(x){\pmod {p}}} ãšãªããããã§ f 1 ( x ) g 1 ( x ) {\displaystyle f_{1}(x)g_{1}(x)} ã® m+n 次ã®ä¿æ°ã¯ a m b n {\displaystyle a_{m}b_{n}} ã§ãããããã f ( x ) â¡ 0 ( mod p ) {\displaystyle f(x)\equiv 0{\pmod {p}}} 㯠m 次ã®åååŒã§ã g ( x ) â¡ 0 ( mod p ) {\displaystyle g(x)\equiv 0{\pmod {p}}} 㯠n 次ã®åååŒã ãã a m , b n {\displaystyle a_{m},b_{n}} 㯠p {\displaystyle p} ã§å²ãåããªãããã£ãŠ a m b n {\displaystyle a_{m}b_{n}} ã p {\displaystyle p} ã§å²ãåããªã(ããã§æ³ãçŽ æ°ã§ããããšãçšããŠãã)ããã£ãŠ f ( x ) g ( x ) â¡ f 1 ( x ) g 1 ( x ) â¡ 0 ( mod p ) {\displaystyle f(x)g(x)\equiv f_{1}(x)g_{1}(x)\equiv 0{\pmod {p}}} 㯠m+n 次ã®åååŒã§ããã
ããã¯çŽ æ°ä»¥å€ã®æ³ã§ã¯äžè¬ã«æ£ãããªããããšãã° ( 2 x + 1 ) ( 3 x + 1 ) â¡ 5 x + 1 ( mod 6 ) {\displaystyle (2x+1)(3x+1)\equiv 5x+1{\pmod {6}}} ãšãªãã巊蟺㮠1 次ã®ä¿æ°å士ãæãããš 6 ãæ³ãšããŠæ¶ããŠããŸãããã§ããã
çŽ æ°ãæ³ãšããååæ¹çšåŒã«ã€ããŠã以äžã®åºæ¬çãªäºå®ãæãç«ã€ã
æ³ p {\displaystyle p} ãçŽ æ°ã®ãšããn 次ã®åååŒ f ( x ) â¡ 0 ( mod p ) {\displaystyle f(x)\equiv 0{\pmod {p}}} ã¯é«ã
n åã®è§£ãæã€ããã¡ãã解㯠p ãæ³ãšããŠäºãã«äžååãªãã®ãæ°ããããã匷ããn 次ã®åååŒ f ( x ) â¡ 0 ( mod p ) {\displaystyle f(x)\equiv 0{\pmod {p}}} ãäºãã«äžååãªè§£ x = x 1 , x 2 , ... , x m {\displaystyle x=x_{1},x_{2},\ldots ,x_{m}} ãæã€ãªãã°ã
ãšå æ°åè§£ã§ãã(ç¹ã« m †n {\displaystyle m\leq n} ã§ãã)ã
蚌æ n ã«é¢ããæ°åŠçåž°çŽæ³ã§èšŒæããã
n = 1 {\displaystyle n=1} ã®ãšã㯠f ( x ) {\displaystyle f(x)} ãšåå㪠1次åŒã g ( x ) = a 1 x + a 0 {\displaystyle g(x)=a_{1}x+a_{0}} ãšããã gcd ( a 1 , p ) = 1 {\displaystyle \gcd(a_{1},p)=1} ã§ããããå®ç 1.8 ããã a 1 x {\displaystyle a_{1}x} ã â a 0 {\displaystyle -a_{0}} ãšååã«ãªããã㪠x = x 1 {\displaystyle x=x_{1}} ã p {\displaystyle p} ãæ³ãšããŠããã ã²ãšã€ååšãããããªãã¡ã a 1 x + a 0 â¡ 0 ( mod p ) {\displaystyle a_{1}x+a_{0}\equiv 0{\pmod {p}}} ã¯ãã ã²ãšã€ã®è§£ãæããããããŠãã®ãšã
ãšãªãã gcd ( a 1 , p ) = 1 {\displaystyle \gcd(a_{1},p)=1} ããå®çã¯æ£ããã
n-1 次ã®åååŒã«å¯ŸããŠå®çãæ£ãããšä»®å®ãã f ( x ) â¡ 0 ( mod p ) {\displaystyle f(x)\equiv 0{\pmod {p}}} ã n 次ã®åååŒãšããã f ( x m ) â¡ 0 ( mod p ) {\displaystyle f(x_{m})\equiv 0{\pmod {p}}} ãã f ( x ) = ( x â x m ) f 1 ( x ) + f ( x m ) {\displaystyle f(x)=(x-x_{m})f_{1}(x)+f(x_{m})} ãšãªãå€é
åŒ f 1 ( x ) {\displaystyle f_{1}(x)} ãååšããã f ( x m ) â¡ 0 ( mod p ) {\displaystyle f(x_{m})\equiv 0{\pmod {p}}} ãã
ãåŸããäžã®äºå®ãã f 1 ( x ) â¡ 0 ( mod p ) {\displaystyle f_{1}(x)\equiv 0{\pmod {p}}} 㯠n-1 次ã®åååŒã§ããã p {\displaystyle p} ã¯çŽ æ°ãªã®ã ãããå®ç 1.12 ããäžåŒã¯ x â x m {\displaystyle x-x_{m}} ãŸã㯠f 1 ( x ) {\displaystyle f_{1}(x)} ã p {\displaystyle p} ã§å²ãåãããšãã«ã ãæãç«ã€ããããã£ãŠã f ( x ) â¡ 0 {\displaystyle f(x)\equiv 0} ã® x m {\displaystyle x_{m}} 以å€ã®è§£ x 1 , x 2 , ... , x m â 1 {\displaystyle x_{1},x_{2},\ldots ,x_{m-1}} 㯠f 1 ( x ) â¡ 0 {\displaystyle f_{1}(x)\equiv 0} ã®è§£ã§ãã( x m {\displaystyle x_{m}} ãäŸç¶ãšã㊠f 1 ( x ) â¡ 0 {\displaystyle f_{1}(x)\equiv 0} ã®è§£ããç¥ããªããã蚌æã«ã¯åœ±é¿ããªã)ã f 1 ( x ) â¡ 0 ( mod p ) {\displaystyle f_{1}(x)\equiv 0{\pmod {p}}} 㯠n-1 次ã®åååŒã ãããåž°çŽæ³ã®ä»®å®ãã
ãšãªã g ( x ) ⢠0 ( mod p ) {\displaystyle g(x)\not \equiv 0{\pmod {p}}} ãååšããããã£ãŠ
ãšãªãããã® n ã«ã€ããŠãå®çãæ£ããã
ãã£ãŠä»¥äžããæ°åŠçåž°çŽæ³ã«ãã£ãŠå®çã¯èšŒæãããã
x ( x â 1 ) â¡ 0 ( mod 2 ) {\displaystyle x(x-1)\equiv 0{\pmod {2}}} ã¯ãã¹ãŠã®æŽæ° x=k ã«å¯ŸããŠæãç«ã€ãã巊蟺ã®å€é
åŒã¯ 2 ãæ³ãšããŠã 0 (æ£ç¢ºã«ã¯é¶å€é
åŒ)ãšååã§ã¯ãªãããã®ããã«ããã¹ãŠã®æŽæ° k ã«å¯Ÿã㊠f ( k ) â¡ g ( k ) ( mod n ) {\displaystyle f(k)\equiv g(k){\pmod {n}}} ãšãªããããšãã£ãŠå€é
åŒ f ( x ) , g ( x ) {\displaystyle f(x),g(x)} ã n ãæ³ãšããŠååã§ãããšã¯éããªãã®ã§æ³šæããªããã°ãªããªãã
æ³ã 7 ãšããå ŽåãäœããšããŠå¯èœæ§ã®ããã®ã¯ 0 , 1 , 2 , 3 , 4 , 5 , 6 {\displaystyle 0,1,2,3,4,5,6} ã® 7 çš®é¡ã§ããã
ããã§ãåãäœãã®æ°ã®éåãäŸãã° { ⯠â 13 , â 6 , 1 , 8 , 15 ⯠} {\displaystyle \{\cdots -13,-6,1,8,15\cdots \}} ã¯ãã©ã®2ã€ããšã£ãŠãååã§ããããã®éåã®ããšããäžè¬ã«ãm ãæ³ãšããŠã®é¡ããšããã
m ãæ³ãšããŠã®é¡ã«å±ããå
šãŠã®æ°ã¯ãé¡ã®ä»»æã®1ã€ã®æ° a {\displaystyle a} ãåã£ãŠããŠã a + n t ( t = ⯠, â 2 , â 1 , 0 , 1 , 2 ⯠) {\displaystyle a+nt\ \ (t=\cdots ,-2,-1,0,1,2\cdots )} ãšè¡šããããã® a {\displaystyle a} ãé¡ã®ã代衚ãã®å
ããšããã
ããŠãããŸãã®å¯èœæ§ãšããŠããã®ã¯ 7 çš®é¡ã ã£ãããã7 ãæ³ãšããŠã®é¡ã¯å
šéšã§ 7 çš®é¡ã§ããã
{ ⯠â 14 , â 7 , 0 , 7 , 14 ⯠} { ⯠â 13 , â 6 , 1 , 8 , 15 ⯠} { ⯠â 12 , â 5 , 2 , 9 , 16 ⯠} { ⯠â 11 , â 4 , 3 , 10 , 17 ⯠} { ⯠â 10 , â 3 , 4 , 11 , 18 ⯠} { ⯠â 9 , â 2 , 5 , 12 , 19 ⯠} { ⯠â 8 , â 1 , 6 , 13 , 20 ⯠} {\displaystyle {\begin{aligned}&\{\cdots -14,-7,0,7,14\cdots \}\\&\{\cdots -13,-6,1,8,15\cdots \}\\&\{\cdots -12,-5,2,9,16\cdots \}\\&\{\cdots -11,-4,3,10,17\cdots \}\\&\{\cdots -10,-3,4,11,18\cdots \}\\&\{\cdots -9,-2,5,12,19\cdots \}\\&\{\cdots -8,-1,6,13,20\cdots \}\\\end{aligned}}}
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šãŠã®é¡ã§ããããã®ãšãããããã® 7 çš®é¡ã®é¡ããæ°ã1ã€ãã€åãåºããŠãããšãã(äŸãã°ã { 0 , 1 , 2 , 3 , 4 , 5 , 6 } , { â 14 , 8 , 2 , 10 , â 3 , â 2 , 6 } {\displaystyle \{0,1,2,3,4,5,6\},\{-14,8,2,10,-3,-2,6\}} )ããã®ãšãããããã® 7 åã®æŽæ°ãã7 ãæ³ãšããŠã®åé¡ã®ä»£è¡šã®äžçµããŸãã¯å°äœç³»ããšããã
äžè¬ã«ãm ãæ³ãšããŠã® m çš®é¡ã®é¡ããæ°ã1ã€ãã€åãåºãããšãããããã® m åã®æ°ã¯ãm ãæ³ãšããŠã®åé¡ã®ä»£è¡šã®äžçµããŸãã¯å°äœç³»ããšããã
ããŠãå°äœç³»ã«é¢ããŠã次ã®å®çãæãç«ã€ã
èŠçŽ ã m {\displaystyle m} åã®éå M {\displaystyle M} ã m {\displaystyle m} ãæ³ãšããŠã®å°äœç³»ã§ããããã®å¿
èŠå忡件ã¯ã M {\displaystyle M} ã®ã©ã®2ã€ããšã£ãŠãäºãã«äžååã§ããããšã§ããã
蚌æ å®çŸ©ããã M {\displaystyle M} ãå°äœç³»ãªãã° M {\displaystyle M} ã®ã©ã®2ã€ããšã£ãŠãäºãã«äžååãªã®ã¯èªæã
èŠçŽ ã m {\displaystyle m} åã®éå M {\displaystyle M} ã®ã©ã®2ã€ããšã£ãŠãäºãã«äžååã§ãããšããããäœãã®çš®é¡ã¯ 0 , 1 , ⯠, m â 1 {\displaystyle 0,1,\cdots ,m-1} ã® m {\displaystyle m} çš®é¡ã§ãããååã®å®çŸ©ãããã©ã®2ã€ããšã£ãŠãäºãã«äžååã§ããã®ã§ãå²ã£ãäœããå®ããã°ããã«å¯Ÿå¿ãã M {\displaystyle M} ã®èŠçŽ ã¯èŠã€ããã¯ãã§ããã(w:鳩ã®å·£åç)
逿³ã®åçãããå
šãŠã®æŽæ°ã¯ãã äžéãã« k = m q + r ( 0 ⊠r < m ) {\displaystyle k=mq+r\ (0\leqq r<m)} ãšè¡šãããå
ã»ã©ã®è°è«ããã t â M , t â¡ r ( mod m ) {\displaystyle t\in M,\ t\equiv r{\pmod {m}}} ãšãªã t {\displaystyle t} ãååšãããååã®å®çŸ©ããã t â r = m s {\displaystyle t-r=ms} ãšãããšã
r = t â m s ⺠m q + r = t â m s + m q ⺠k = t + m ( q â s ) {\displaystyle r=t-ms\iff mq+r=t-ms+mq\iff k=t+m(q-s)} ãšãªãã k {\displaystyle k} ãã t {\displaystyle t} ã«ãã£ãŠä»£è¡šãããé¡ã®æ°ãšããŠè¡šãããšãåºæ¥ãããŸãããã¯ãã äžéãã§ããã k {\displaystyle k} ã¯ä»»æã®æ°ã§ãããããªãã¡ã M {\displaystyle M} ã¯å°äœç³»ããªããŠããã
ããŠãèŠçŽå°äœç³»ãšãããã®ãåºãŠããããäžè¬ã« ( r , m ) = d â ( r + m t , m ) = d {\displaystyle (r,m)=d\Rightarrow (r+mt,m)=d} ã§ããã®ã§ãé¡ã®æ°ã¯å
šãŠæ³ãšäºãã«çŽ ããããã¯äžå®ã®æå€§å
¬çŽæ°ãæã€ããã®ãã¡ãäºãã«çŽ ãªæ°ã®ã¿ã®é¡ãæ¢çŽé¡ãšãããå°äœç³»ã®ãã¡æ¢çŽé¡ã®ã¿ããæ°ãåãåºãããã®ãèŠçŽå°äœç³»ãšããã
7 ãæ³ãšããå°äœç³»ãšããŠæãç°¡åãªãã®ã¯ããããã M = { 0 , 1 , 2 , 3 , 4 , 5 , 6 } {\displaystyle M=\{0,1,2,3,4,5,6\}} ã ãããããã«ãå æ³ãšä¹æ³ãå®çŸ©ããã
ã©ã®ããã«ãã®è¡šãäœã£ãŠããããšãããšã M {\displaystyle M} ã¯å°äœç³»ãªã®ã§ãä»»æã®æ° k {\displaystyle k} 㯠m â¡ k ( mod 7 ) {\displaystyle m\equiv k{\pmod {7}}} ãªã m â M {\displaystyle m\in M} ããã ã²ãšã€ååšãããããã§ã a , b â M {\displaystyle a,b\in M} ã«ã€ããŠã a + b , a b {\displaystyle a+b,ab} ã M {\displaystyle M} ã®ãã ã²ãšã€ã®èŠçŽ m , n {\displaystyle m,n} ãšååã§ããããã«ããããšãã§ããããã®ãšãã® m , n {\displaystyle m,n} ãããããã a + b = m , a b = n {\displaystyle a+b=m,ab=n} ãšå®çŸ©ããã®ã§ããã
ãã®æŠå¿µã¯ä»»æã®æ³ã«æ¡åŒµããããšãã§ããããã®ãšãæ³ãšããæ°ã«ãã£ãŠã Z / m Z {\displaystyle \mathbb {Z} /m\mathbb {Z} } ãšæžãããŸããããã¯é¡ã®ä»£è¡šã®å
ã®éžã³æ¹ã«ãããªãã
ãã®ããã«ããŠå®çŸ©ãããå æ³ãšä¹æ³ã«ããå°äœç³»ã¯ãç°ããªãã
ãŸã å®ç 2.1.1 (viii) ãã gcd ( a , n ) = 1 {\displaystyle \gcd(a,n)=1} ã§ããéã a k â¡ b ( mod n ) {\displaystyle ak\equiv b{\pmod {n}}} ãšãªã k {\displaystyle k} ãååšããããããã®ãã㪠k {\displaystyle k} ã®å±ããå°äœé¡ã¯ãã 1ã€ã«å®ãŸãããšãããããç¹ã« a k â¡ 1 ( mod n ) {\displaystyle ak\equiv 1{\pmod {n}}} ãšãªã k {\displaystyle k} ã®å±ããå°äœé¡ã¯ä¹æ³ã«é¢ãã a {\displaystyle a} ã®éå
ã§ãããããã a Ì {\displaystyle {\bar {a}}} ã§ããããããšãããããã®ãšã a k â¡ b ( mod n ) ⺠k â¡ b a Ì ( mod p ) {\displaystyle ak\equiv b{\pmod {n}}\iff k\equiv b{\bar {a}}{\pmod {p}}} ã§ããã ãŸãç¹ã«ãæ³ãçŽ æ°ã®ãšãã0以å€ã®å°äœé¡ã¯ãã¹ãŠéå
ããã€ã®ã§ããã®å°äœç³»ã¯(æé)äœããªãã
|
[
{
"paragraph_id": 0,
"tag": "p",
"text": "ããã§ã¯åååŒã«ã€ããŠèª¬æããã",
"title": ""
},
{
"paragraph_id": 1,
"tag": "p",
"text": "次ã®ãããªåé¡ãèããŠã¿ããã",
"title": "ã¯ããã«"
},
{
"paragraph_id": 2,
"tag": "p",
"text": "å 12345ã7ã§å²ã£ãäœããæ±ããã",
"title": "ã¯ããã«"
},
{
"paragraph_id": 3,
"tag": "p",
"text": "åé¡ã®æå³ã ããªãæŽæ°ã®æãç®ãšå²ãç®ãç¥ã£ãŠããã°çè§£ã§ããããåççã«ã¯ããã ãã®ç¥èã§ãã®åé¡ãè§£ãããšã¯ã§ãããããããããã¯ãšãŠã倧å€ã§ãããäžå£ã«12345ãšãããããããèšç®ãããš3539537889086624823140625(æ¥æ¬èªã§èªãã°3ð¥±5395å3788京9086å
6248å2314äž625)ãšãã25ã±ã¿ã®æ°ã§ããããããèšç®ããŠããã«7ã§å²ããªã©ãæèšç®ã§ã¯ãšãŠãããæ°ã«ãªããªããé»åãããã°ãã§ããã®æ¡æ°ã®èšç®ã¯ã§ããªãç©ãå€ãã",
"title": "ã¯ããã«"
},
{
"paragraph_id": 4,
"tag": "p",
"text": "ããã§ãããã§ã¯ãã®åé¡ããã®ãããªå€§èšç®ãããã«è§£ãæ¹æ³ãèããŠã¿ããããã®éå
·ãšããŠã®èŠæ¹ãããåååŒãšãããã®ã解説ããã",
"title": "ã¯ããã«"
},
{
"paragraph_id": 5,
"tag": "p",
"text": "ååã®å®çŸ©ã«ã¯æµåã2ã€ããã",
"title": "å®çŸ©"
},
{
"paragraph_id": 6,
"tag": "p",
"text": "ãŸãã¯ããããåå€ã§ããããšã蚌æããã",
"title": "å®çŸ©"
},
{
"paragraph_id": 7,
"tag": "p",
"text": "逿³ã®åçã«åºã¥ããŠã a = c q + r ( 0 ⊠r < c ) , b = c q â² + r â² ( 0 ⊠r â² < c ) {\\displaystyle a=cq+r\\ \\ (0\\leqq r<c),\\ \\ \\ b=cq'+r'\\ \\ (0\\leqq r'<c)} ãšããããŸãã1 ã®æå³ã§ååãããªãã¡ r = r Ⲡ⯠( 1 ) {\\displaystyle r=r'\\cdots (1)}",
"title": "å®çŸ©"
},
{
"paragraph_id": 8,
"tag": "p",
"text": "ãªãã°ã2 ã®æå³ã§ååã§ããããšã蚌æããã",
"title": "å®çŸ©"
},
{
"paragraph_id": 9,
"tag": "p",
"text": "a â b = ( c q + r ) â ( c q â² + r â² ) = c ( q â q â² ) ( âµ ( 1 ) ) {\\displaystyle {\\begin{aligned}a-b&=(cq+r)-(cq'+r')&=c(q-q')\\ \\ \\ (\\because (1))\\end{aligned}}}",
"title": "å®çŸ©"
},
{
"paragraph_id": 10,
"tag": "p",
"text": "ããã1 ã®æå³ã§åå â 2 ã®æå³ã§åå",
"title": "å®çŸ©"
},
{
"paragraph_id": 11,
"tag": "p",
"text": "次ã«ã1 ã®æå³ã§ååã§ãªããããªãã¡ r â r Ⲡ⯠( 2 ) {\\displaystyle r\\neq r'\\cdots (2)} ãªãã°ã2 ã®æå³ã§ååã§ãªãããšã蚌æããã",
"title": "å®çŸ©"
},
{
"paragraph_id": 12,
"tag": "p",
"text": "a â b = ( c q + r ) â ( c q â² + r â² ) = c ( q â q â² ) + ( r â r â² ) {\\displaystyle {\\begin{aligned}a-b&=(cq+r)-(cq'+r')&=c(q-q')+(r-r')\\end{aligned}}}",
"title": "å®çŸ©"
},
{
"paragraph_id": 13,
"tag": "p",
"text": "ãã®ãšãã ( 2 ) ⺠r â r â² â 0 {\\displaystyle (2)\\iff r-r'\\neq 0} ããã a â b {\\displaystyle a-b} 㯠c {\\displaystyle c} ã§å²ãåããªãã",
"title": "å®çŸ©"
},
{
"paragraph_id": 14,
"tag": "p",
"text": "ãããã£ãŠã1 ã®æå³ã§ååã§ãªã â 2 ã®æå³ã§ååã§ãªã",
"title": "å®çŸ©"
},
{
"paragraph_id": 15,
"tag": "p",
"text": "以äžãããã1 ã®æå³ã§åå â 2 ã®æå³ã§ååãã蚌æãããã",
"title": "å®çŸ©"
},
{
"paragraph_id": 16,
"tag": "p",
"text": "逿³ã®åçãããã©ã®æŽæ°ã n ãæ³ãšããŠãn ã§å²ã£ãäœããšååã§ãããã€ãŸã n ãæ³ãšã㊠0 , 1 , ... , n â 1 {\\displaystyle 0,1,\\ldots ,n-1} ã®ãããããšååã§ããã",
"title": "æ§è³ª"
},
{
"paragraph_id": 17,
"tag": "p",
"text": "ã¬ãŠã¹ã¯ãååã«ã¯ = {\\displaystyle =} ãšéåžžã«ããäŒŒãæ§è³ªãããããæ¡çšããããšè¿°ã¹ãŠããããã®å
·äœçãªæ§è³ªãæ¬¡ã«æããå®çã§ããã",
"title": "æ§è³ª"
},
{
"paragraph_id": 18,
"tag": "p",
"text": "(i) (åå°åŸ) a â¡ a ( mod n ) {\\displaystyle a\\equiv a\\ \\ {\\pmod {n}}} (ii) (察称åŸ) a â¡ b â b â¡ a ( mod n ) {\\displaystyle a\\equiv b\\Rightarrow b\\equiv a{\\pmod {n}}} (iii)(æšç§»åŸ) a â¡ b â§ b â¡ c â a â¡ c ( mod n ) {\\displaystyle a\\equiv b\\wedge b\\equiv c\\Rightarrow a\\equiv c\\ \\ {\\pmod {n}}} (iv) a â¡ b â§ c â¡ d â a ± c â¡ b ± d ( mod n ) {\\displaystyle a\\equiv b\\wedge c\\equiv d\\Rightarrow a\\pm c\\equiv b\\pm d\\ \\ \\ {\\pmod {n}}} (v) a â¡ b â§ c â¡ d â a c â¡ b d ( mod n ) {\\displaystyle a\\equiv b\\wedge c\\equiv d\\Rightarrow ac\\equiv bd\\ \\ \\ {\\pmod {n}}} (vi) a b â¡ a c â§ gcd ( a , n ) = 1 â b â¡ c ( mod n ) {\\displaystyle ab\\equiv ac\\wedge \\gcd(a,n)=1\\Rightarrow b\\equiv c\\ \\ {\\pmod {n}}} (vii) f ( a , b , c , ⯠) {\\displaystyle f(a,b,c,\\cdots )} ãæŽæ°ä¿æ°å€é
åŒãšããã°ã a â¡ a â² , b â¡ b â² , c â¡ c â² , ⯠â f ( a , b , c , ⯠) â¡ f ( a â² , b â² , c â² , ⯠) ( mod n ) {\\displaystyle a\\equiv a',b\\equiv b',c\\equiv c',\\cdots \\Rightarrow f(a,b,c,\\cdots )\\equiv f(a',b',c',\\cdots )\\ \\ {\\pmod {n}}} (viii) gcd ( a , n ) = 1 {\\displaystyle \\gcd(a,n)=1} ãªãã°ä»»æã®æŽæ° b {\\displaystyle b} ã«å¯Ÿãã a k â¡ b ( mod n ) {\\displaystyle ak\\equiv b{\\pmod {n}}} ãšãªã k {\\displaystyle k} ãååšã n {\\displaystyle n} ãæ³ãšããŠãã 1ã€ã«å®ãŸã(ã€ãŸã k {\\displaystyle k} ã n {\\displaystyle n} ã§å²ã£ãäœãã1ã€ã«å®ãŸã)ã",
"title": "æ§è³ª"
},
{
"paragraph_id": 19,
"tag": "p",
"text": "蚌æ (i) a â a = 0 {\\displaystyle a-a=0} ã¯å
šãŠã®æŽæ°ã§å²ãåããããããã£ãŠã a â¡ a ( mod n ) {\\displaystyle a\\equiv a\\ {\\pmod {n}}}",
"title": "æ§è³ª"
},
{
"paragraph_id": 20,
"tag": "p",
"text": "(ii) b â a = â 1 ( a â b ) {\\displaystyle b-a=-1(a-b)} ãªã®ã§ã n | a â b â p | b â a {\\displaystyle n\\,|\\,a-b\\Rightarrow p\\,|\\,b-a} ãããã£ãŠå®çŸ©ãã a â¡ b â b â¡ a ( mod n ) {\\displaystyle a\\equiv b\\Rightarrow b\\equiv a{\\pmod {n}}}",
"title": "æ§è³ª"
},
{
"paragraph_id": 21,
"tag": "p",
"text": "(iii) (ii) ãã a â¡ b â§ b â¡ c â a â¡ b â§ c â¡ b ( mod n ) {\\displaystyle a\\equiv b\\wedge b\\equiv c\\Rightarrow a\\equiv b\\wedge c\\equiv b\\ \\ {\\pmod {n}}}",
"title": "æ§è³ª"
},
{
"paragraph_id": 22,
"tag": "p",
"text": "a â c = ( a â b ) â ( c â b ) {\\displaystyle a-c=(a-b)-(c-b)} ãããå®ç 1.1 ãã n | a â b , c â b â n | a â c {\\displaystyle n\\,|\\,a-b,c-b\\Rightarrow n\\,|\\,a-c}",
"title": "æ§è³ª"
},
{
"paragraph_id": 23,
"tag": "p",
"text": "⎠a ⡠c ( mod n ) {\\displaystyle \\therefore a\\equiv c\\ \\ {\\pmod {n}}}",
"title": "æ§è³ª"
},
{
"paragraph_id": 24,
"tag": "p",
"text": "(iv) a â¡ b â§ c â¡ d ( mod n ) ⺠n | a â b , c â d {\\displaystyle a\\equiv b\\wedge c\\equiv d\\ {\\pmod {n}}\\iff n\\,|\\,a-b,c-d}",
"title": "æ§è³ª"
},
{
"paragraph_id": 25,
"tag": "p",
"text": "å®ç 1.1 ãã n | ( a â b ) + ( c â d ) ⺠n | ( a + c ) â ( c + d ) ⺠a + c â¡ b + d ( mod n ) {\\displaystyle n\\,|\\,(a-b)+(c-d)\\iff n|(a+c)-(c+d)\\iff a+c\\equiv b+d\\ \\ \\ {\\pmod {n}}}",
"title": "æ§è³ª"
},
{
"paragraph_id": 26,
"tag": "p",
"text": "ãã€ãã¹ã®æ¹ã«ã€ããŠã¯ã a â¡ b â â a â¡ â b ( mod n ) {\\displaystyle a\\equiv b\\Rightarrow -a\\equiv -b\\ \\ {\\pmod {n}}} ãå©çšããã°è¯ãã",
"title": "æ§è³ª"
},
{
"paragraph_id": 27,
"tag": "p",
"text": "å ãã€ãã¹ã®æ¹ã蚌æããã",
"title": "æ§è³ª"
},
{
"paragraph_id": 28,
"tag": "p",
"text": "(v) b d â a c = b d + a d â a c â a d = d ( a â b ) + a ( c â d ) ⯠( 1 ) {\\displaystyle {\\begin{aligned}bd-ac&=bd+ad-ac-ad\\\\&=d(a-b)+a(c-d)\\cdots (1)\\end{aligned}}}",
"title": "æ§è³ª"
},
{
"paragraph_id": 29,
"tag": "p",
"text": "ããã§ã a â¡ b â§ c â¡ d ( mod n ) {\\displaystyle a\\equiv b\\wedge c\\equiv d\\ \\ {\\pmod {n}}} ã§ããããšããã a â b = n q , c â d = n r {\\displaystyle a-b=nq,c-d=nr} ãšããããããšã",
"title": "æ§è³ª"
},
{
"paragraph_id": 30,
"tag": "p",
"text": "( 1 ) ⺠b d â a c = d n q + a n r ⺠b d â a c = n ( d q + a r ) ⺠b d â¡ a c ( mod n ) â a c â¡ b d ( mod n ) ( âµ ( i i ) ) {\\displaystyle {\\begin{aligned}(1)&\\iff bd-ac=dnq+anr\\\\&\\iff bd-ac=n(dq+ar)\\\\&\\iff bd\\equiv ac\\ \\ {\\pmod {n}}\\\\&\\Rightarrow ac\\equiv bd\\ \\ {\\pmod {n}}(\\because (ii))\\end{aligned}}}",
"title": "æ§è³ª"
},
{
"paragraph_id": 31,
"tag": "p",
"text": "(vi) a b â a c | n ⺠a ( b â c ) | p {\\displaystyle ab-ac\\,|\\,n\\iff a(b-c)\\,|\\,p}",
"title": "æ§è³ª"
},
{
"paragraph_id": 32,
"tag": "p",
"text": "ããã§ã ( a , n ) = 1 {\\displaystyle (a,n)=1} ãªã®ã§å®ç 1.6 ãã b â c | n ⺠b â¡ c ( mod p ) {\\displaystyle b-c\\,|\\,n\\iff b\\equiv c\\ \\ {\\pmod {p}}}",
"title": "æ§è³ª"
},
{
"paragraph_id": 33,
"tag": "p",
"text": "(vii) a â¡ b â a k â¡ b k ( mod p ) {\\displaystyle a\\equiv b\\Rightarrow a^{k}\\equiv b^{k}\\ \\ {\\pmod {p}}} ããŸãã¯èšŒæãããããã¯ã",
"title": "æ§è³ª"
},
{
"paragraph_id": 34,
"tag": "p",
"text": "a k â b k = ( a â b ) ( a k â 1 + a k â 2 b + a k â 3 b 2 + ⯠+ a 2 b k â 3 + a b k â 2 + b k â 1 ) {\\displaystyle a^{k}-b^{k}=(a-b)(a^{k-1}+a^{k-2}b+a^{k-3}b^{2}+\\cdots +a^{2}b^{k-3}+ab^{k-2}+b^{k-1})} ãš a â b {\\displaystyle a-b} ãå æ°ã«æã€ããšããèªæã§ãã((v) ã䜿ããåž°çŽçã«èšŒæããããšãã§ãã)ã",
"title": "æ§è³ª"
},
{
"paragraph_id": 35,
"tag": "p",
"text": "ããŠãå€å€æ°ã®æŽæ°ä¿æ°å€é
åŒãšã¯ãããªãã¡ã a k b l c m ⯠{\\displaystyle a^{k}b^{l}c^{m}\\cdots } ã®ç·åã§ãããå
ã»ã©èšŒæããããšããã",
"title": "æ§è³ª"
},
{
"paragraph_id": 36,
"tag": "p",
"text": "a â¡ a â² , b â¡ b â² , c â¡ c Ⲡ⯠â a k â¡ a â² k , b l â¡ b â² l , c m â¡ c â² m , ⯠( mod p ) {\\displaystyle a\\equiv a',b\\equiv b',c\\equiv c'\\cdots \\Rightarrow a^{k}\\equiv a'^{k},b^{l}\\equiv b'^{l},c^{m}\\equiv c'^{m},\\cdots \\ \\ {\\pmod {p}}}",
"title": "æ§è³ª"
},
{
"paragraph_id": 37,
"tag": "p",
"text": "ãããã£ãŠã(v) ãç¹°ãè¿ã䜿ãã°ãäžã€ã®é
ã«ã€ããŠããã¯æ£ããããŸãããããã®é
ã®ç·åã f ( a , b , c , ⯠) {\\displaystyle f(a,b,c,\\cdots )} ãªã®ã ããã(iv) ãç¹°ãè¿ã䜿ã£ãŠããã蚌æãããã",
"title": "æ§è³ª"
},
{
"paragraph_id": 38,
"tag": "p",
"text": "(viii) å®ç 1.8 ããããã®ãã㪠k {\\displaystyle k} ãååšãã n {\\displaystyle n} ãæ³ãšããŠ1ã€ã«å®ãŸãããšãããã«åŸã(ãªã (vi) ããã a k â¡ a l â¡ b ( mod n ) {\\displaystyle ak\\equiv al\\equiv b{\\pmod {n}}} ãªãã° k â¡ l ( mod n ) {\\displaystyle k\\equiv l{\\pmod {n}}} ã§ãããã n {\\displaystyle n} ãæ³ãšããŠ1ã€ã«å®ãŸãããšãããã)ã",
"title": "æ§è³ª"
},
{
"paragraph_id": 39,
"tag": "p",
"text": "å 12345ã7ã§å²ã£ãäœããæ±ããã",
"title": "å
ã»ã©ã®åé¡"
},
{
"paragraph_id": 40,
"tag": "p",
"text": "ãããåååŒãçšããŠè§£ããŠã¿ããã",
"title": "å
ã»ã©ã®åé¡"
},
{
"paragraph_id": 41,
"tag": "p",
"text": "12345 â¡ 4 ( mod 7 ) {\\displaystyle 12345\\equiv 4\\ \\ {\\pmod {7}}} ã§ãããããå®ç 2.1 (vii) ãçšããŠã 12345 6 â¡ 4 6 â¡ 16 3 ( mod 7 ) {\\displaystyle 12345^{6}\\equiv 4^{6}\\equiv 16^{3}\\ \\ {\\pmod {7}}}",
"title": "å
ã»ã©ã®åé¡"
},
{
"paragraph_id": 42,
"tag": "p",
"text": "ããã§åã³ã 16 â¡ 2 ( mod 7 ) {\\displaystyle 16\\equiv 2{\\pmod {7}}} ã ããã 16 3 â¡ 2 3 â¡ 1 ( mod 7 ) {\\displaystyle 16^{3}\\equiv 2^{3}\\equiv 1\\ \\ {\\pmod {7}}}",
"title": "å
ã»ã©ã®åé¡"
},
{
"paragraph_id": 43,
"tag": "p",
"text": "ãšãªããçŽæ¥èšç®ããããããªãç°¡åã«æ±ãŸã£ãã",
"title": "å
ã»ã©ã®åé¡"
},
{
"paragraph_id": 44,
"tag": "p",
"text": "åååŒã«ã€ããŠããæ·±ãèå¯ããåã«ãåçŽãªå¿çšã®äŸããããã",
"title": "åçŽãªå¿çšäŸ"
},
{
"paragraph_id": 45,
"tag": "p",
"text": "äŸ 1 1幎ã®éã«ã¯å¿
ã13æ¥ã®éææ¥ã蚪ãããããã«ã1幎ã®éã«13æ¥ã¯æ¥ææ¥ããåææ¥ãŸã§ã®ãã¹ãŠã®ææ¥ãåãã1æ13æ¥ã 7 ãæ³ãšã㊠0 ãšååãšãªãããã«ãåææ¥ã 7 ãæ³ãšããŠåé¡ãããšã1æ13æ¥ãã12æ13æ¥ãŸã§ã¯ãããã 7 ãæ³ãšããŠ",
"title": "åçŽãªå¿çšäŸ"
},
{
"paragraph_id": 46,
"tag": "p",
"text": "ãšååãšãªãããã£ãŠãããã®å Žåã 0 ãã 6 ãŸã§å
šãŠçŸããã®ã§1幎ã®éã«(ããæ£ç¢ºã«ã1æãã10æã®éã«)13æ¥ã¯æ¥ææ¥ããåææ¥ãŸã§ã®ãã¹ãŠã®ææ¥ãåãã",
"title": "åçŽãªå¿çšäŸ"
},
{
"paragraph_id": 47,
"tag": "p",
"text": "äŸ 2 å¹³æ¹æ°ã 3 ã§å²ã£ãäœã㯠0 ãŸã㯠1 ã§ãªããã°ãªããªããã€ãŸã 3 k + 2 {\\displaystyle 3k+2} ã®åœ¢ã®å¹³æ¹æ°ã¯ååšããªãã 0 2 â¡ 0 ( mod 3 ) , 1 2 â¡ 2 2 â¡ 1 ( mod 3 ) {\\displaystyle 0^{2}\\equiv 0{\\pmod {3}},1^{2}\\equiv 2^{2}\\equiv 1{\\pmod {3}}} ãªã®ã§ n ã 3 ã§å²ã£ãäœãã 0 ãªãã° n 2 â¡ 0 ( mod 3 ) {\\displaystyle n^{2}\\equiv 0{\\pmod {3}}} ã§ãããã§ãªããšã㯠n 2 â¡ 1 ( mod 3 ) {\\displaystyle n^{2}\\equiv 1{\\pmod {3}}} ãšãªãããã§ãããåæ§ã«ããŠå¹³æ¹æ°ã 4 ã§å²ã£ãäœã㯠0 ãŸã㯠1 ã§ãªããã°ãªããªããã€ãŸã 4 k + 2 {\\displaystyle 4k+2} ããã㯠4 k + 3 {\\displaystyle 4k+3} ã®åœ¢ã®å¹³æ¹æ°ã¯ååšããªãã",
"title": "åçŽãªå¿çšäŸ"
},
{
"paragraph_id": 48,
"tag": "p",
"text": "ããã䜿ããçŽ æ°ã®ååžã«ã€ããŠã次ã®äºå®ã蚌æã§ããã",
"title": "åçŽãªå¿çšäŸ"
},
{
"paragraph_id": 49,
"tag": "p",
"text": "äŸ 3 4 n + 3 {\\displaystyle 4n+3} ã®åœ¢ã®çŽ æ°ã¯ç¡éã«å€ãååšãã 6 n + 5 {\\displaystyle 6n+5} ã®åœ¢ã®çŽ æ°ãç¡éã«å€ãååšããã",
"title": "åçŽãªå¿çšäŸ"
},
{
"paragraph_id": 50,
"tag": "p",
"text": "蚌æ ä»»æã®çŽ æ° p ã«å¯Ÿãããããã倧ããªãäžãããã圢ã®çŽ æ°ãååšããããšã蚌æããã°ããã q = 2 2 â
3 â
5 ⯠p â 1 {\\displaystyle q=2^{2}\\cdot 3\\cdot 5\\cdots p-1} ãšãããš q â¡ 3 ( mod 4 ) {\\displaystyle q\\equiv 3{\\pmod {4}}} ã〠q â¡ 5 ( mod 6 ) {\\displaystyle q\\equiv 5{\\pmod {6}}} ã§ããã q {\\displaystyle q} ã®çŽ å æ°ã p 1 , p 2 , ... , p r {\\displaystyle p_{1},p_{2},\\ldots ,p_{r}} ãšããã ãããããã¹ãŠ 4 ãæ³ãšã㊠1 ãšååãªãã° q = p 1 p 2 ⯠p r â¡ 1 ( mod 4 ) {\\displaystyle q=p_{1}p_{2}\\cdots p_{r}\\equiv 1{\\pmod {4}}} ãšãªãã q â¡ 3 ( mod 4 ) {\\displaystyle q\\equiv 3{\\pmod {4}}} ã«ççŸããã ãã£ãŠ p i â¡ 3 ( mod 4 ) {\\displaystyle p_{i}\\equiv 3{\\pmod {4}}} ãšãªã pi ãååšããã q = 2 2 â
3 â
5 ⯠p â 1 {\\displaystyle q=2^{2}\\cdot 3\\cdot 5\\cdots p-1} 㯠2 , 3 , 5 , ... , p {\\displaystyle 2,3,5,\\ldots ,p} ã®ããããšãäºãã«çŽ ã ãã p i > p {\\displaystyle p_{i}>p} ã§ãªããã°ãªããªããåæ§ã« p 1 , p 2 , ... , p r {\\displaystyle p_{1},p_{2},\\ldots ,p_{r}} ããã¹ãŠ 6 ãæ³ãšã㊠1 ãšååãªãã° q = p 1 p 2 ⯠p r â¡ 1 ( mod 6 ) {\\displaystyle q=p_{1}p_{2}\\cdots p_{r}\\equiv 1{\\pmod {6}}} ãšãªãã q â¡ 5 ( mod 6 ) {\\displaystyle q\\equiv 5{\\pmod {6}}} ã«ççŸããããã£ãŠ p j â¡ 5 ( mod 6 ) {\\displaystyle p_{j}\\equiv 5{\\pmod {6}}} ãšãªã pj ãååšãã p j > p {\\displaystyle p_{j}>p} ã§ãªããã°ãªããªãã",
"title": "åçŽãªå¿çšäŸ"
},
{
"paragraph_id": 51,
"tag": "p",
"text": "äŸ 2 ã¯å¹³æ¹æ°ãããæ°ã§å²ã£ãäœããã©ã®ãããªæ°ã«ãªãããšãã§ããã©ã®ãããªæ°ã«ãªãåŸãªãããšããåé¡ã«äžè¬åã§ãããããã衚ãããã®ãå¹³æ¹å°äœã§ãããããã«äžè¬ã®çޝä¹ã«æ¡åŒµãããã®ãã¹ãå°äœã§ããã",
"title": "åçŽãªå¿çšäŸ"
},
{
"paragraph_id": 52,
"tag": "p",
"text": "",
"title": "åçŽãªå¿çšäŸ"
},
{
"paragraph_id": 53,
"tag": "p",
"text": "ãŸãã2ã€ã®å€é
åŒ f ( x ) , g ( x ) {\\displaystyle f(x),g(x)} ã n {\\displaystyle n} ãæ³ãšããŠååãšã¯ããã®åä¿æ°ããã¹ãŠ n {\\displaystyle n} ãæ³ãšããŠååã§ããããšããããåååŒã«é¢ããå®ç 2.1.1. (i)-(v) ã¯å€é
åŒã«å¯ŸããŠããã®ãŸãŸæãç«ã€ããšã容æã«ããããå®éãäŸãã° f 1 ( x ) â¡ g 1 ( x ) ( mod n ) , f 2 ( x ) â¡ g 2 ( x ) ( mod n ) {\\displaystyle f_{1}(x)\\equiv g_{1}(x){\\pmod {n}},f_{2}(x)\\equiv g_{2}(x){\\pmod {n}}} ãªãã° f 1 ( x ) = g 1 ( x ) + n h 1 ( x ) , f 2 ( x ) â¡ g 2 ( x ) + n h 2 ( x ) {\\displaystyle f_{1}(x)=g_{1}(x)+nh_{1}(x),f_{2}(x)\\equiv g_{2}(x)+nh_{2}(x)} ãšãªãæŽæ°ä¿æ°ã®å€é
åŒ h 1 ( x ) , h 2 ( x ) {\\displaystyle h_{1}(x),h_{2}(x)} ãååšãããã f 1 ( x ) f 2 ( x ) â¡ g 1 ( x ) g 2 ( x ) + n ( g 1 ( x ) h 2 ( x ) + g 2 h 1 ( x ) ) + n 2 h 1 ( x ) h 2 ( x ) â¡ g 1 ( x ) g 2 ( x ) ( mod n ) {\\displaystyle f_{1}(x)f_{2}(x)\\equiv g_{1}(x)g_{2}(x)+n(g_{1}(x)h_{2}(x)+g_{2}h_{1}(x))+n^{2}h_{1}(x)h_{2}(x)\\equiv g_{1}(x)g_{2}(x){\\pmod {n}}} ãæãç«ã€ã",
"title": "ååæ¹çšåŒã®åºæ¬å®ç"
},
{
"paragraph_id": 54,
"tag": "p",
"text": "ååæ¹çšåŒãšã¯ãå€é
åŒ f ( x ) {\\displaystyle f(x)} ãšããæŽæ° n {\\displaystyle n} ã«ãããæ³ã«ã€ããŠã f ( x ) â¡ 0 ( mod n ) {\\displaystyle f(x)\\equiv 0{\\pmod {n}}} ãšãã圢ã®åŒã§ãããå®ç 2.1.1 ãã a â¡ b â f ( a ) â¡ f ( b ) ( mod n ) {\\displaystyle a\\equiv b\\Rightarrow f(a)\\equiv f(b){\\pmod {n}}} ã ããã 0 , 1 , ⯠, n â 1 {\\displaystyle 0,1,\\cdots ,n-1} ãŸã§å
šãŠä»£å
¥ããŠç¢ºãããŠã¿ãã°åççã«ã¯è§£ããã®ã§ããã",
"title": "ååæ¹çšåŒã®åºæ¬å®ç"
},
{
"paragraph_id": 55,
"tag": "p",
"text": "f ( x ) = a n x n + a n â 1 x n â 1 + ⯠+ a 1 x + a 0 {\\displaystyle f(x)=a_{n}x^{n}+a_{n-1}x^{n-1}+\\cdots +a_{1}x+a_{0}} ã«ã€ããŠãåä¿æ° a γ {\\displaystyle a_{\\gamma }} ãä»ã®ååãªæ°ã§çœ®ãæããŠãè¯ããç¹ã«ãæ³ k {\\displaystyle k} ã§å²ãåãããšãã¯ããã®é
ãæ¶å»ããŠãè¯ãããã®æäœããããšãã a n ⢠0 ( mod k ) {\\displaystyle a_{n}\\not \\equiv 0{\\pmod {k}}} ã®ãšãããã®åååŒã n 次ãšããã åååŒ f ( x ) â¡ 0 ( mod k ) {\\displaystyle f(x)\\equiv 0{\\pmod {k}}} ã n 次ã§ããããšã®å¿
èŠååæ¡ä»¶ã¯ f ( x ) â¡ g ( x ) ( mod k ) {\\displaystyle f(x)\\equiv g(x){\\pmod {k}}} ãšãªãå€é
åŒ g ( x ) {\\displaystyle g(x)} ã®äžã§æäœæ¬¡æ°ã®ãã®ã n 次ã§ããããšã§ããããã®ãã㪠g ( x ) {\\displaystyle g(x)} ã®æé«æ¬¡ãã€ãŸã n 次ã®ä¿æ°ã¯ k {\\displaystyle k} ã§å²ãåããªã(å²ãåãããªãã°ããã®ä¿æ°ãæ¶å»ããããšã§ãããã«äœã次æ°ã®ã f ( x ) {\\displaystyle f(x)} ãšååãªå€é
åŒããšããããã§ãã)ã",
"title": "ååæ¹çšåŒã®åºæ¬å®ç"
},
{
"paragraph_id": 56,
"tag": "p",
"text": "p {\\displaystyle p} ãçŽ æ°ãšãããšã f ( x ) â¡ 0 ( mod p ) {\\displaystyle f(x)\\equiv 0{\\pmod {p}}} ã m 次ã®åååŒã§ã g ( x ) â¡ 0 ( mod p ) {\\displaystyle g(x)\\equiv 0{\\pmod {p}}} ã n 次ã®åååŒã§ãããšã f ( x ) g ( x ) â¡ 0 ( mod p ) {\\displaystyle f(x)g(x)\\equiv 0{\\pmod {p}}} 㯠m+n 次ã®åååŒã§ãããå®é f ( x ) = p f 0 ( x ) + f 1 ( x ) , g ( x ) = p g 0 ( x ) + g 1 ( x ) {\\displaystyle f(x)=pf_{0}(x)+f_{1}(x),g(x)=pg_{0}(x)+g_{1}(x)} ãšãªãããã« m次ã®å€é
åŒ f 1 ( x ) = a m x m + a m â 1 x m â 1 + ⯠{\\displaystyle f_{1}(x)=a_{m}x^{m}+a_{m-1}x^{m-1}+\\cdots } ãš n 次ã®å€é
åŒ g 1 ( x ) = b n x n + b n â 1 x n â 1 + ⯠{\\displaystyle g_{1}(x)=b_{n}x^{n}+b_{n-1}x^{n-1}+\\cdots } ããšãã° f ( x ) g ( x ) â¡ f 1 ( x ) g 1 ( x ) ( mod p ) {\\displaystyle f(x)g(x)\\equiv f_{1}(x)g_{1}(x){\\pmod {p}}} ãšãªããããã§ f 1 ( x ) g 1 ( x ) {\\displaystyle f_{1}(x)g_{1}(x)} ã® m+n 次ã®ä¿æ°ã¯ a m b n {\\displaystyle a_{m}b_{n}} ã§ãããããã f ( x ) â¡ 0 ( mod p ) {\\displaystyle f(x)\\equiv 0{\\pmod {p}}} 㯠m 次ã®åååŒã§ã g ( x ) â¡ 0 ( mod p ) {\\displaystyle g(x)\\equiv 0{\\pmod {p}}} 㯠n 次ã®åååŒã ãã a m , b n {\\displaystyle a_{m},b_{n}} 㯠p {\\displaystyle p} ã§å²ãåããªãããã£ãŠ a m b n {\\displaystyle a_{m}b_{n}} ã p {\\displaystyle p} ã§å²ãåããªã(ããã§æ³ãçŽ æ°ã§ããããšãçšããŠãã)ããã£ãŠ f ( x ) g ( x ) â¡ f 1 ( x ) g 1 ( x ) â¡ 0 ( mod p ) {\\displaystyle f(x)g(x)\\equiv f_{1}(x)g_{1}(x)\\equiv 0{\\pmod {p}}} 㯠m+n 次ã®åååŒã§ããã",
"title": "ååæ¹çšåŒã®åºæ¬å®ç"
},
{
"paragraph_id": 57,
"tag": "p",
"text": "ããã¯çŽ æ°ä»¥å€ã®æ³ã§ã¯äžè¬ã«æ£ãããªããããšãã° ( 2 x + 1 ) ( 3 x + 1 ) â¡ 5 x + 1 ( mod 6 ) {\\displaystyle (2x+1)(3x+1)\\equiv 5x+1{\\pmod {6}}} ãšãªãã巊蟺㮠1 次ã®ä¿æ°å士ãæãããš 6 ãæ³ãšããŠæ¶ããŠããŸãããã§ããã",
"title": "ååæ¹çšåŒã®åºæ¬å®ç"
},
{
"paragraph_id": 58,
"tag": "p",
"text": "çŽ æ°ãæ³ãšããååæ¹çšåŒã«ã€ããŠã以äžã®åºæ¬çãªäºå®ãæãç«ã€ã",
"title": "ååæ¹çšåŒã®åºæ¬å®ç"
},
{
"paragraph_id": 59,
"tag": "p",
"text": "æ³ p {\\displaystyle p} ãçŽ æ°ã®ãšããn 次ã®åååŒ f ( x ) â¡ 0 ( mod p ) {\\displaystyle f(x)\\equiv 0{\\pmod {p}}} ã¯é«ã
n åã®è§£ãæã€ããã¡ãã解㯠p ãæ³ãšããŠäºãã«äžååãªãã®ãæ°ããããã匷ããn 次ã®åååŒ f ( x ) â¡ 0 ( mod p ) {\\displaystyle f(x)\\equiv 0{\\pmod {p}}} ãäºãã«äžååãªè§£ x = x 1 , x 2 , ... , x m {\\displaystyle x=x_{1},x_{2},\\ldots ,x_{m}} ãæã€ãªãã°ã",
"title": "ååæ¹çšåŒã®åºæ¬å®ç"
},
{
"paragraph_id": 60,
"tag": "p",
"text": "ãšå æ°åè§£ã§ãã(ç¹ã« m †n {\\displaystyle m\\leq n} ã§ãã)ã",
"title": "ååæ¹çšåŒã®åºæ¬å®ç"
},
{
"paragraph_id": 61,
"tag": "p",
"text": "蚌æ n ã«é¢ããæ°åŠçåž°çŽæ³ã§èšŒæããã",
"title": "ååæ¹çšåŒã®åºæ¬å®ç"
},
{
"paragraph_id": 62,
"tag": "p",
"text": "n = 1 {\\displaystyle n=1} ã®ãšã㯠f ( x ) {\\displaystyle f(x)} ãšåå㪠1次åŒã g ( x ) = a 1 x + a 0 {\\displaystyle g(x)=a_{1}x+a_{0}} ãšããã gcd ( a 1 , p ) = 1 {\\displaystyle \\gcd(a_{1},p)=1} ã§ããããå®ç 1.8 ããã a 1 x {\\displaystyle a_{1}x} ã â a 0 {\\displaystyle -a_{0}} ãšååã«ãªããã㪠x = x 1 {\\displaystyle x=x_{1}} ã p {\\displaystyle p} ãæ³ãšããŠããã ã²ãšã€ååšãããããªãã¡ã a 1 x + a 0 â¡ 0 ( mod p ) {\\displaystyle a_{1}x+a_{0}\\equiv 0{\\pmod {p}}} ã¯ãã ã²ãšã€ã®è§£ãæããããããŠãã®ãšã",
"title": "ååæ¹çšåŒã®åºæ¬å®ç"
},
{
"paragraph_id": 63,
"tag": "p",
"text": "ãšãªãã gcd ( a 1 , p ) = 1 {\\displaystyle \\gcd(a_{1},p)=1} ããå®çã¯æ£ããã",
"title": "ååæ¹çšåŒã®åºæ¬å®ç"
},
{
"paragraph_id": 64,
"tag": "p",
"text": "n-1 次ã®åååŒã«å¯ŸããŠå®çãæ£ãããšä»®å®ãã f ( x ) â¡ 0 ( mod p ) {\\displaystyle f(x)\\equiv 0{\\pmod {p}}} ã n 次ã®åååŒãšããã f ( x m ) â¡ 0 ( mod p ) {\\displaystyle f(x_{m})\\equiv 0{\\pmod {p}}} ãã f ( x ) = ( x â x m ) f 1 ( x ) + f ( x m ) {\\displaystyle f(x)=(x-x_{m})f_{1}(x)+f(x_{m})} ãšãªãå€é
åŒ f 1 ( x ) {\\displaystyle f_{1}(x)} ãååšããã f ( x m ) â¡ 0 ( mod p ) {\\displaystyle f(x_{m})\\equiv 0{\\pmod {p}}} ãã",
"title": "ååæ¹çšåŒã®åºæ¬å®ç"
},
{
"paragraph_id": 65,
"tag": "p",
"text": "ãåŸããäžã®äºå®ãã f 1 ( x ) â¡ 0 ( mod p ) {\\displaystyle f_{1}(x)\\equiv 0{\\pmod {p}}} 㯠n-1 次ã®åååŒã§ããã p {\\displaystyle p} ã¯çŽ æ°ãªã®ã ãããå®ç 1.12 ããäžåŒã¯ x â x m {\\displaystyle x-x_{m}} ãŸã㯠f 1 ( x ) {\\displaystyle f_{1}(x)} ã p {\\displaystyle p} ã§å²ãåãããšãã«ã ãæãç«ã€ããããã£ãŠã f ( x ) â¡ 0 {\\displaystyle f(x)\\equiv 0} ã® x m {\\displaystyle x_{m}} 以å€ã®è§£ x 1 , x 2 , ... , x m â 1 {\\displaystyle x_{1},x_{2},\\ldots ,x_{m-1}} 㯠f 1 ( x ) â¡ 0 {\\displaystyle f_{1}(x)\\equiv 0} ã®è§£ã§ãã( x m {\\displaystyle x_{m}} ãäŸç¶ãšã㊠f 1 ( x ) â¡ 0 {\\displaystyle f_{1}(x)\\equiv 0} ã®è§£ããç¥ããªããã蚌æã«ã¯åœ±é¿ããªã)ã f 1 ( x ) â¡ 0 ( mod p ) {\\displaystyle f_{1}(x)\\equiv 0{\\pmod {p}}} 㯠n-1 次ã®åååŒã ãããåž°çŽæ³ã®ä»®å®ãã",
"title": "ååæ¹çšåŒã®åºæ¬å®ç"
},
{
"paragraph_id": 66,
"tag": "p",
"text": "ãšãªã g ( x ) ⢠0 ( mod p ) {\\displaystyle g(x)\\not \\equiv 0{\\pmod {p}}} ãååšããããã£ãŠ",
"title": "ååæ¹çšåŒã®åºæ¬å®ç"
},
{
"paragraph_id": 67,
"tag": "p",
"text": "ãšãªãããã® n ã«ã€ããŠãå®çãæ£ããã",
"title": "ååæ¹çšåŒã®åºæ¬å®ç"
},
{
"paragraph_id": 68,
"tag": "p",
"text": "ãã£ãŠä»¥äžããæ°åŠçåž°çŽæ³ã«ãã£ãŠå®çã¯èšŒæãããã",
"title": "ååæ¹çšåŒã®åºæ¬å®ç"
},
{
"paragraph_id": 69,
"tag": "p",
"text": "x ( x â 1 ) â¡ 0 ( mod 2 ) {\\displaystyle x(x-1)\\equiv 0{\\pmod {2}}} ã¯ãã¹ãŠã®æŽæ° x=k ã«å¯ŸããŠæãç«ã€ãã巊蟺ã®å€é
åŒã¯ 2 ãæ³ãšããŠã 0 (æ£ç¢ºã«ã¯é¶å€é
åŒ)ãšååã§ã¯ãªãããã®ããã«ããã¹ãŠã®æŽæ° k ã«å¯Ÿã㊠f ( k ) â¡ g ( k ) ( mod n ) {\\displaystyle f(k)\\equiv g(k){\\pmod {n}}} ãšãªããããšãã£ãŠå€é
åŒ f ( x ) , g ( x ) {\\displaystyle f(x),g(x)} ã n ãæ³ãšããŠååã§ãããšã¯éããªãã®ã§æ³šæããªããã°ãªããªãã",
"title": "ååæ¹çšåŒã®åºæ¬å®ç"
},
{
"paragraph_id": 70,
"tag": "p",
"text": "æ³ã 7 ãšããå ŽåãäœããšããŠå¯èœæ§ã®ããã®ã¯ 0 , 1 , 2 , 3 , 4 , 5 , 6 {\\displaystyle 0,1,2,3,4,5,6} ã® 7 çš®é¡ã§ããã",
"title": "å°äœç³»"
},
{
"paragraph_id": 71,
"tag": "p",
"text": "ããã§ãåãäœãã®æ°ã®éåãäŸãã° { ⯠â 13 , â 6 , 1 , 8 , 15 ⯠} {\\displaystyle \\{\\cdots -13,-6,1,8,15\\cdots \\}} ã¯ãã©ã®2ã€ããšã£ãŠãååã§ããããã®éåã®ããšããäžè¬ã«ãm ãæ³ãšããŠã®é¡ããšããã",
"title": "å°äœç³»"
},
{
"paragraph_id": 72,
"tag": "p",
"text": "m ãæ³ãšããŠã®é¡ã«å±ããå
šãŠã®æ°ã¯ãé¡ã®ä»»æã®1ã€ã®æ° a {\\displaystyle a} ãåã£ãŠããŠã a + n t ( t = ⯠, â 2 , â 1 , 0 , 1 , 2 ⯠) {\\displaystyle a+nt\\ \\ (t=\\cdots ,-2,-1,0,1,2\\cdots )} ãšè¡šããããã® a {\\displaystyle a} ãé¡ã®ã代衚ãã®å
ããšããã",
"title": "å°äœç³»"
},
{
"paragraph_id": 73,
"tag": "p",
"text": "ããŠãããŸãã®å¯èœæ§ãšããŠããã®ã¯ 7 çš®é¡ã ã£ãããã7 ãæ³ãšããŠã®é¡ã¯å
šéšã§ 7 çš®é¡ã§ããã",
"title": "å°äœç³»"
},
{
"paragraph_id": 74,
"tag": "p",
"text": "{ ⯠â 14 , â 7 , 0 , 7 , 14 ⯠} { ⯠â 13 , â 6 , 1 , 8 , 15 ⯠} { ⯠â 12 , â 5 , 2 , 9 , 16 ⯠} { ⯠â 11 , â 4 , 3 , 10 , 17 ⯠} { ⯠â 10 , â 3 , 4 , 11 , 18 ⯠} { ⯠â 9 , â 2 , 5 , 12 , 19 ⯠} { ⯠â 8 , â 1 , 6 , 13 , 20 ⯠} {\\displaystyle {\\begin{aligned}&\\{\\cdots -14,-7,0,7,14\\cdots \\}\\\\&\\{\\cdots -13,-6,1,8,15\\cdots \\}\\\\&\\{\\cdots -12,-5,2,9,16\\cdots \\}\\\\&\\{\\cdots -11,-4,3,10,17\\cdots \\}\\\\&\\{\\cdots -10,-3,4,11,18\\cdots \\}\\\\&\\{\\cdots -9,-2,5,12,19\\cdots \\}\\\\&\\{\\cdots -8,-1,6,13,20\\cdots \\}\\\\\\end{aligned}}}",
"title": "å°äœç³»"
},
{
"paragraph_id": 75,
"tag": "p",
"text": "ãå
šãŠã®é¡ã§ããããã®ãšãããããã® 7 çš®é¡ã®é¡ããæ°ã1ã€ãã€åãåºããŠãããšãã(äŸãã°ã { 0 , 1 , 2 , 3 , 4 , 5 , 6 } , { â 14 , 8 , 2 , 10 , â 3 , â 2 , 6 } {\\displaystyle \\{0,1,2,3,4,5,6\\},\\{-14,8,2,10,-3,-2,6\\}} )ããã®ãšãããããã® 7 åã®æŽæ°ãã7 ãæ³ãšããŠã®åé¡ã®ä»£è¡šã®äžçµããŸãã¯å°äœç³»ããšããã",
"title": "å°äœç³»"
},
{
"paragraph_id": 76,
"tag": "p",
"text": "äžè¬ã«ãm ãæ³ãšããŠã® m çš®é¡ã®é¡ããæ°ã1ã€ãã€åãåºãããšãããããã® m åã®æ°ã¯ãm ãæ³ãšããŠã®åé¡ã®ä»£è¡šã®äžçµããŸãã¯å°äœç³»ããšããã",
"title": "å°äœç³»"
},
{
"paragraph_id": 77,
"tag": "p",
"text": "ããŠãå°äœç³»ã«é¢ããŠã次ã®å®çãæãç«ã€ã",
"title": "å°äœç³»"
},
{
"paragraph_id": 78,
"tag": "p",
"text": "èŠçŽ ã m {\\displaystyle m} åã®éå M {\\displaystyle M} ã m {\\displaystyle m} ãæ³ãšããŠã®å°äœç³»ã§ããããã®å¿
èŠå忡件ã¯ã M {\\displaystyle M} ã®ã©ã®2ã€ããšã£ãŠãäºãã«äžååã§ããããšã§ããã",
"title": "å°äœç³»"
},
{
"paragraph_id": 79,
"tag": "p",
"text": "蚌æ å®çŸ©ããã M {\\displaystyle M} ãå°äœç³»ãªãã° M {\\displaystyle M} ã®ã©ã®2ã€ããšã£ãŠãäºãã«äžååãªã®ã¯èªæã",
"title": "å°äœç³»"
},
{
"paragraph_id": 80,
"tag": "p",
"text": "èŠçŽ ã m {\\displaystyle m} åã®éå M {\\displaystyle M} ã®ã©ã®2ã€ããšã£ãŠãäºãã«äžååã§ãããšããããäœãã®çš®é¡ã¯ 0 , 1 , ⯠, m â 1 {\\displaystyle 0,1,\\cdots ,m-1} ã® m {\\displaystyle m} çš®é¡ã§ãããååã®å®çŸ©ãããã©ã®2ã€ããšã£ãŠãäºãã«äžååã§ããã®ã§ãå²ã£ãäœããå®ããã°ããã«å¯Ÿå¿ãã M {\\displaystyle M} ã®èŠçŽ ã¯èŠã€ããã¯ãã§ããã(w:鳩ã®å·£åç)",
"title": "å°äœç³»"
},
{
"paragraph_id": 81,
"tag": "p",
"text": "逿³ã®åçãããå
šãŠã®æŽæ°ã¯ãã äžéãã« k = m q + r ( 0 ⊠r < m ) {\\displaystyle k=mq+r\\ (0\\leqq r<m)} ãšè¡šãããå
ã»ã©ã®è°è«ããã t â M , t â¡ r ( mod m ) {\\displaystyle t\\in M,\\ t\\equiv r{\\pmod {m}}} ãšãªã t {\\displaystyle t} ãååšãããååã®å®çŸ©ããã t â r = m s {\\displaystyle t-r=ms} ãšãããšã",
"title": "å°äœç³»"
},
{
"paragraph_id": 82,
"tag": "p",
"text": "r = t â m s ⺠m q + r = t â m s + m q ⺠k = t + m ( q â s ) {\\displaystyle r=t-ms\\iff mq+r=t-ms+mq\\iff k=t+m(q-s)} ãšãªãã k {\\displaystyle k} ãã t {\\displaystyle t} ã«ãã£ãŠä»£è¡šãããé¡ã®æ°ãšããŠè¡šãããšãåºæ¥ãããŸãããã¯ãã äžéãã§ããã k {\\displaystyle k} ã¯ä»»æã®æ°ã§ãããããªãã¡ã M {\\displaystyle M} ã¯å°äœç³»ããªããŠããã",
"title": "å°äœç³»"
},
{
"paragraph_id": 83,
"tag": "p",
"text": "ããŠãèŠçŽå°äœç³»ãšãããã®ãåºãŠããããäžè¬ã« ( r , m ) = d â ( r + m t , m ) = d {\\displaystyle (r,m)=d\\Rightarrow (r+mt,m)=d} ã§ããã®ã§ãé¡ã®æ°ã¯å
šãŠæ³ãšäºãã«çŽ ããããã¯äžå®ã®æå€§å
¬çŽæ°ãæã€ããã®ãã¡ãäºãã«çŽ ãªæ°ã®ã¿ã®é¡ãæ¢çŽé¡ãšãããå°äœç³»ã®ãã¡æ¢çŽé¡ã®ã¿ããæ°ãåãåºãããã®ãèŠçŽå°äœç³»ãšããã",
"title": "å°äœç³»"
},
{
"paragraph_id": 84,
"tag": "p",
"text": "7 ãæ³ãšããå°äœç³»ãšããŠæãç°¡åãªãã®ã¯ããããã M = { 0 , 1 , 2 , 3 , 4 , 5 , 6 } {\\displaystyle M=\\{0,1,2,3,4,5,6\\}} ã ãããããã«ãå æ³ãšä¹æ³ãå®çŸ©ããã",
"title": "å°äœç³»"
},
{
"paragraph_id": 85,
"tag": "p",
"text": "ã©ã®ããã«ãã®è¡šãäœã£ãŠããããšãããšã M {\\displaystyle M} ã¯å°äœç³»ãªã®ã§ãä»»æã®æ° k {\\displaystyle k} 㯠m â¡ k ( mod 7 ) {\\displaystyle m\\equiv k{\\pmod {7}}} ãªã m â M {\\displaystyle m\\in M} ããã ã²ãšã€ååšãããããã§ã a , b â M {\\displaystyle a,b\\in M} ã«ã€ããŠã a + b , a b {\\displaystyle a+b,ab} ã M {\\displaystyle M} ã®ãã ã²ãšã€ã®èŠçŽ m , n {\\displaystyle m,n} ãšååã§ããããã«ããããšãã§ããããã®ãšãã® m , n {\\displaystyle m,n} ãããããã a + b = m , a b = n {\\displaystyle a+b=m,ab=n} ãšå®çŸ©ããã®ã§ããã",
"title": "å°äœç³»"
},
{
"paragraph_id": 86,
"tag": "p",
"text": "ãã®æŠå¿µã¯ä»»æã®æ³ã«æ¡åŒµããããšãã§ããããã®ãšãæ³ãšããæ°ã«ãã£ãŠã Z / m Z {\\displaystyle \\mathbb {Z} /m\\mathbb {Z} } ãšæžãããŸããããã¯é¡ã®ä»£è¡šã®å
ã®éžã³æ¹ã«ãããªãã",
"title": "å°äœç³»"
},
{
"paragraph_id": 87,
"tag": "p",
"text": "ãã®ããã«ããŠå®çŸ©ãããå æ³ãšä¹æ³ã«ããå°äœç³»ã¯ãç°ããªãã",
"title": "å°äœç³»"
},
{
"paragraph_id": 88,
"tag": "p",
"text": "ãŸã å®ç 2.1.1 (viii) ãã gcd ( a , n ) = 1 {\\displaystyle \\gcd(a,n)=1} ã§ããéã a k â¡ b ( mod n ) {\\displaystyle ak\\equiv b{\\pmod {n}}} ãšãªã k {\\displaystyle k} ãååšããããããã®ãã㪠k {\\displaystyle k} ã®å±ããå°äœé¡ã¯ãã 1ã€ã«å®ãŸãããšãããããç¹ã« a k â¡ 1 ( mod n ) {\\displaystyle ak\\equiv 1{\\pmod {n}}} ãšãªã k {\\displaystyle k} ã®å±ããå°äœé¡ã¯ä¹æ³ã«é¢ãã a {\\displaystyle a} ã®éå
ã§ãããããã a Ì {\\displaystyle {\\bar {a}}} ã§ããããããšãããããã®ãšã a k â¡ b ( mod n ) ⺠k â¡ b a Ì ( mod p ) {\\displaystyle ak\\equiv b{\\pmod {n}}\\iff k\\equiv b{\\bar {a}}{\\pmod {p}}} ã§ããã ãŸãç¹ã«ãæ³ãçŽ æ°ã®ãšãã0以å€ã®å°äœé¡ã¯ãã¹ãŠéå
ããã€ã®ã§ããã®å°äœç³»ã¯(æé)äœããªãã",
"title": "å°äœç³»"
}
] |
ããã§ã¯åååŒã«ã€ããŠèª¬æããã
|
{{Nav}}
ããã§ã¯åååŒã«ã€ããŠèª¬æããã
== ã¯ããã« ==
次ã®ãããªåé¡ãèããŠã¿ããã
'''å''' 12345<sup>6</sup>ã7ã§å²ã£ãäœããæ±ããã
åé¡ã®æå³ã ããªãæŽæ°ã®æãç®ãšå²ãç®ãç¥ã£ãŠããã°çè§£ã§ããããåççã«ã¯ããã ãã®ç¥èã§ãã®åé¡ãè§£ãããšã¯ã§ãããããããããã¯ãšãŠã倧å€ã§ãããäžå£ã«12345<sup>6</sup>ãšãããããããèšç®ãããš3539537889086624823140625ïŒæ¥æ¬èªã§èªãã°3ð¥±5395å3788京9086å
6248å2314äž625ïŒãšãã25ã±ã¿ã®æ°ã§ããããããèšç®ããŠããã«7ã§å²ããªã©ãæèšç®ã§ã¯ãšãŠãããæ°ã«ãªããªããé»åãããã°ãã§ããã®æ¡æ°ã®èšç®ã¯ã§ããªãç©ãå€ãã
ããã§ãããã§ã¯ãã®åé¡ããã®ãããªå€§èšç®ãããã«è§£ãæ¹æ³ãèããŠã¿ããããã®éå
·ãšããŠã®èŠæ¹ãããåååŒãšãããã®ã解説ããã
== å®çŸ© ==
ååã®å®çŸ©ã«ã¯æµåã2ã€ããã
# <math>a, b</math> ã <math>c</math> ã§å²ã£ãäœããçãããšããã<math>a, b</math> 㯠<math>c</math> ã'''æ³'''ãšããŠ'''åå'''ããšããã<math>a \equiv b \ \ \pmod{c}</math> ãšããã
# <math>a, b</math> ã«ã€ããŠã<math>c \, | \, a-b</math> ã®ãšããã<math>a, b</math> 㯠<math>c</math> ã'''æ³'''ãšããŠ'''åå'''ããšããã<math>a \equiv b \ \ \pmod{c}</math> ãšããã
ãŸãã¯ããããåå€ã§ããããšã蚌æããã
逿³ã®åçã«åºã¥ããŠã<math>a = cq + r \ \ (0 \leqq r < c), \ \ \ b = cq' + r' \ \ (0 \leqq r' < c)</math> ãšããããŸãã1 ã®æå³ã§ååãããªãã¡ <math>r = r' \cdots (1)</math>
ãªãã°ã2 ã®æå³ã§ååã§ããããšã蚌æããã
<math>
\begin{align}
a - b & = (cq + r) - (cq' + r')
& = c(q-q') \ \ \ (\because (1))
\end{align}
</math>
ããã1 ã®æå³ã§åå â 2 ã®æå³ã§åå
次ã«ã1 ã®æå³ã§ååã§ãªããããªãã¡ <math>r \neq r' \cdots (2)</math> ãªãã°ã2 ã®æå³ã§ååã§ãªãããšã蚌æããã
<math>
\begin{align}
a - b & = (cq + r) - (cq' + r')
& = c(q-q') + (r - r')
\end{align}
</math>
ãã®ãšãã<math>(2) \iff r-r' \neq 0</math> ããã<math>a-b</math> 㯠<math>c</math> ã§å²ãåããªãã
ãããã£ãŠã1 ã®æå³ã§ååã§ãªã â 2 ã®æå³ã§ååã§ãªã
以äžãããã1 ã®æå³ã§åå â 2 ã®æå³ã§ååãã蚌æãããã
== æ§è³ª ==
逿³ã®åçãããã©ã®æŽæ°ã n ãæ³ãšããŠãn ã§å²ã£ãäœããšååã§ãããã€ãŸã n ãæ³ãšã㊠<math> 0, 1, \ldots, n-1 </math> ã®ãããããšååã§ããã
ã¬ãŠã¹ã¯ãååã«ã¯ <math>=</math> ãšéåžžã«ããäŒŒãæ§è³ªãããããæ¡çšããããšè¿°ã¹ãŠããããã®å
·äœçãªæ§è³ªãæ¬¡ã«æããå®çã§ããã
====== å®ç 2.1.1 ======
(i) ïŒåå°åŸïŒ<math>a \equiv a \ \ \pmod{n}</math><br />
(ii) ïŒå¯Ÿç§°åŸïŒ<math>a \equiv b \Rightarrow b \equiv a \pmod{n}</math><br />
(iii)ïŒæšç§»åŸïŒ<math>a \equiv b \wedge b \equiv c \Rightarrow a \equiv c \ \ \pmod{n}</math><br />
(iv) <math>a \equiv b \wedge c \equiv d \Rightarrow a \pm c \equiv b \pm d \ \ \ \pmod{n}</math><br />
(v) <math>a \equiv b \wedge c \equiv d \Rightarrow ac \equiv bd \ \ \ \pmod{n}</math><br />
(vi) <math>ab \equiv ac \wedge \gcd (a, n) = 1 \Rightarrow b \equiv c \ \ \pmod{n}</math><br />
(vii) <math>f(a, b, c, \cdots)</math> ãæŽæ°ä¿æ°å€é
åŒãšããã°ã<math>a \equiv a', b \equiv b', c \equiv c', \cdots \Rightarrow f(a, b, c, \cdots) \equiv f(a', b', c', \cdots) \ \ \pmod{n}</math><br />
(viii) <math>\gcd (a, n) = 1</math> ãªãã°ä»»æã®æŽæ° <math>b</math> ã«å¯Ÿãã <math>ak\equiv b\pmod{n}</math> ãšãªã <math>k</math> ãååšã <math>n</math> ãæ³ãšããŠãã 1ã€ã«å®ãŸãïŒã€ãŸã <math>k</math> ã <math>n</math> ã§å²ã£ãäœãã1ã€ã«å®ãŸãïŒã
'''蚌æ'''<br />
(i) <math>a-a = 0</math> ã¯å
šãŠã®æŽæ°ã§å²ãåããããããã£ãŠã<math>a \equiv a \ \pmod{n}</math>
(ii) <math>b-a = -1(a-b)</math> ãªã®ã§ã<math>n \, | \, a-b \Rightarrow p \, | \, b-a</math> ãããã£ãŠå®çŸ©ãã <math>a \equiv b \Rightarrow b \equiv a \pmod{n}</math>
(iii) (ii) ãã <math>a \equiv b \wedge b \equiv c \Rightarrow a \equiv b \wedge c \equiv b \ \ \pmod{n}</math>
<math>a-c = (a-b) - (c-b)</math> ãããå®ç 1.1 ãã <math>n \, | \, a-b, c-b \Rightarrow n \, | \, a-c</math>
<math>\therefore a \equiv c \ \ \pmod{n}</math>
(iv) <math>a \equiv b \wedge c \equiv d \ \pmod{n} \iff n \, | \, a-b, c-d</math>
å®ç 1.1 ãã <math>n \, | \, (a-b) + (c-d) \iff n | (a+c) - (c+d) \iff a+c \equiv b+d \ \ \ \pmod{n}</math>
ãã€ãã¹ã®æ¹ã«ã€ããŠã¯ã<math>a \equiv b \Rightarrow -a \equiv -b \ \ \pmod{n}</math> ãå©çšããã°è¯ãã
'''å'''<br />
ãã€ãã¹ã®æ¹ã蚌æããã
(v)<br />
<math>\begin{align}
bd - ac & = bd + ad - ac - ad \\
& = d(a-b) + a(c-d) \cdots (1)
\end{align}
</math>
ããã§ã<math>a \equiv b \wedge c \equiv d \ \ \pmod{n}</math> ã§ããããšããã<math>a-b = nq, c-d = nr</math> ãšããããããšã
<math>\begin{align}
(1) & \iff bd - ac = dnq + anr \\
& \iff bd - ac = n(dq + ar) \\
& \iff bd \equiv ac \ \ \pmod{n} \\
& \Rightarrow ac \equiv bd \ \ \pmod{n} (\because (ii))
\end{align}</math>
(vi) <math>ab - ac \, | \, n \iff a(b-c) \, | \, p</math>
ããã§ã<math>(a, n) = 1</math> ãªã®ã§[[åçæŽæ°è«/æŽé€æ§#å®ç 1.6|å®ç 1.6]] ãã <math>b-c \, | \, n \iff b \equiv c \ \ \pmod{p}</math>
(vii)<br />
<math>a \equiv b \Rightarrow a^k \equiv b^k \ \ \pmod{p}</math> ããŸãã¯èšŒæãããããã¯ã
<math>a^k - b^k = (a-b)(a^{k-1} + a^{k-2}b + a^{k-3}b^2 + \cdots +a^2b^{k-3}+ ab^{k-2} + b^{k-1})</math> ãš <math>a-b</math> ãå æ°ã«æã€ããšããèªæã§ããïŒ(v) ã䜿ããåž°çŽçã«èšŒæããããšãã§ããïŒã
ããŠãå€å€æ°ã®æŽæ°ä¿æ°å€é
åŒãšã¯ãããªãã¡ã<math>a^k b^l c^m \cdots</math> ã®ç·åã§ãããå
ã»ã©èšŒæããããšããã
<math>a \equiv a', b \equiv b', c \equiv c' \cdots \Rightarrow a^k \equiv a'^k, b^l \equiv b'^l, c^m \equiv c'^m, \cdots \ \ \pmod{p}</math>
ãããã£ãŠã(v) ãç¹°ãè¿ã䜿ãã°ãäžã€ã®é
ã«ã€ããŠããã¯æ£ããããŸãããããã®é
ã®ç·åã <math>f(a, b, c, \cdots)</math> ãªã®ã ããã(iv) ãç¹°ãè¿ã䜿ã£ãŠããã蚌æãããã
(viii) [[åçæŽæ°è«/ãŠãŒã¯ãªããã®äºé€æ³#å®ç 1.8|å®ç 1.8]] ããããã®ãã㪠<math>k</math> ãååšãã <math>n</math> ãæ³ãšããŠ1ã€ã«å®ãŸãããšãããã«åŸãïŒãªã (vi) ããã <math>ak\equiv al\equiv b\pmod{n}</math> ãªãã° <math>k\equiv l\pmod{n}</math> ã§ãããã <math>n</math> ãæ³ãšããŠ1ã€ã«å®ãŸãããšããããïŒã
== å
ã»ã©ã®åé¡ ==
'''å''' 12345<sup>6</sup>ã7ã§å²ã£ãäœããæ±ããã
ãããåååŒãçšããŠè§£ããŠã¿ããã
<math>12345 \equiv 4 \ \ \pmod{7}</math> ã§ãããããå®ç 2.1 (vii) ãçšããŠã<math>12345^6 \equiv 4^6 \equiv 16^3 \ \ \pmod{7}</math>
ããã§åã³ã<math>16 \equiv 2 \pmod{7}</math> ã ããã<math>16^3 \equiv 2^3 \equiv 1 \ \ \pmod{7}</math>
ãšãªããçŽæ¥èšç®ããããããªãç°¡åã«æ±ãŸã£ãã
== åçŽãªå¿çšäŸ ==
åååŒã«ã€ããŠããæ·±ãèå¯ããåã«ãåçŽãªå¿çšã®äŸããããã
'''äŸ 1'''
1幎ã®éã«ã¯å¿
ã[[w:13æ¥ã®éææ¥|13æ¥ã®éææ¥]]ã蚪ãããããã«ã1幎ã®éã«13æ¥ã¯æ¥ææ¥ããåææ¥ãŸã§ã®ãã¹ãŠã®ææ¥ãåãã1æ13æ¥ã 7 ãæ³ãšã㊠0 ãšååãšãªãããã«ãåææ¥ã 7 ãæ³ãšããŠåé¡ãããšã1æ13æ¥ãã12æ13æ¥ãŸã§ã¯ãããã 7 ãæ³ãšããŠ
:<math>0, 31\equiv 3, 3+28\equiv 3, 3+31\equiv 6, 6+30\equiv 1, 1+31\equiv 4, 4+30\equiv 6, 6+31\equiv 2, 2+31\equiv 5, 5+30\equiv 0, 0+31\equiv 3, 3+30\equiv 5</math>ïŒå¹³å¹ŽïŒ
:<math>0, 31\equiv 3, 3+29\equiv 4, 4+31\equiv 0, 0+30\equiv 2, 2+31\equiv 5, 5+30\equiv 0, 0+31\equiv 3, 3+31\equiv 6, 6+30\equiv 1, 1+31\equiv 4, 4+30\equiv 6</math>ïŒ[[w:é幎|é幎]]ïŒ
ãšååãšãªãããã£ãŠãããã®å Žåã 0 ãã 6 ãŸã§å
šãŠçŸããã®ã§1幎ã®éã«ïŒããæ£ç¢ºã«ã1æãã10æã®éã«ïŒ13æ¥ã¯æ¥ææ¥ããåææ¥ãŸã§ã®ãã¹ãŠã®ææ¥ãåãã
'''äŸ 2'''
å¹³æ¹æ°ã 3 ã§å²ã£ãäœã㯠0 ãŸã㯠1 ã§ãªããã°ãªããªããã€ãŸã <math>3k+2</math> ã®åœ¢ã®å¹³æ¹æ°ã¯ååšããªãã<math>0^2\equiv 0\pmod{3}, 1^2\equiv 2^2\equiv 1\pmod{3}</math> ãªã®ã§ n ã 3 ã§å²ã£ãäœãã 0 ãªãã° <math>n^2\equiv 0\pmod{3}</math> ã§ãããã§ãªããšã㯠<math>n^2\equiv 1\pmod{3}</math> ãšãªãããã§ãããåæ§ã«ããŠå¹³æ¹æ°ã 4 ã§å²ã£ãäœã㯠0 ãŸã㯠1 ã§ãªããã°ãªããªããã€ãŸã <math>4k+2</math> ããã㯠<math>4k+3</math> ã®åœ¢ã®å¹³æ¹æ°ã¯ååšããªãã
ããã䜿ããçŽ æ°ã®ååžã«ã€ããŠã次ã®äºå®ã蚌æã§ããã
'''äŸ 3'''
<math>4n+3</math> ã®åœ¢ã®çŽ æ°ã¯ç¡éã«å€ãååšãã <math>6n+5</math> ã®åœ¢ã®çŽ æ°ãç¡éã«å€ãååšããã
'''蚌æ'''
ä»»æã®çŽ æ° ''p'' ã«å¯Ÿãããããã倧ããªãäžãããã圢ã®çŽ æ°ãååšããããšã蚌æããã°ããã
<math>q=2^2\cdot 3\cdot 5\cdots p-1</math> ãšãããš <math>q\equiv 3\pmod{4}</math> ã〠<math>q\equiv 5\pmod{6}</math> ã§ããã<math>q</math> ã®çŽ å æ°ã <math>p_1, p_2, \ldots, p_r</math> ãšããã ãããããã¹ãŠ 4 ãæ³ãšã㊠1 ãšååãªãã° <math>q=p_1 p_2\cdots p_r\equiv 1\pmod{4}</math> ãšãªãã<math>q\equiv 3\pmod{4}</math> ã«ççŸããã ãã£ãŠ <math>p_i\equiv 3\pmod{4}</math> ãšãªã ''p<sub>i</sub>'' ãååšããã<math>q=2^2\cdot 3\cdot 5\cdots p-1</math> 㯠<math>2, 3, 5, \ldots, p</math> ã®ããããšãäºãã«çŽ ã ãã
<math>p_i>p</math> ã§ãªããã°ãªããªããåæ§ã« <math>p_1, p_2, \ldots, p_r</math> ããã¹ãŠ 6 ãæ³ãšã㊠1 ãšååãªãã° <math>q=p_1 p_2\cdots p_r\equiv 1\pmod{6}</math> ãšãªãã<math>q\equiv 5\pmod{6}</math> ã«ççŸããããã£ãŠ <math>p_j\equiv 5\pmod{6}</math> ãšãªã ''p<sub>j</sub>'' ãååšãã<math>p_j>p</math> ã§ãªããã°ãªããªãã
äŸ 2 ã¯å¹³æ¹æ°ãããæ°ã§å²ã£ãäœããã©ã®ãããªæ°ã«ãªãããšãã§ããã©ã®ãããªæ°ã«ãªãåŸãªãããšããåé¡ã«äžè¬åã§ãããããã衚ãããã®ãå¹³æ¹å°äœã§ãããããã«äžè¬ã®çޝä¹ã«æ¡åŒµãããã®ãã¹ãå°äœã§ããã
== ååæ¹çšåŒã®åºæ¬å®ç ==
ãŸãã2ã€ã®å€é
åŒ <math>f(x), g(x)</math> ã <math>n</math> ãæ³ãšããŠååãšã¯ããã®åä¿æ°ããã¹ãŠ <math>n</math> ãæ³ãšããŠååã§ããããšããããåååŒã«é¢ããå®ç 2.1.1. (i)-(v) ã¯å€é
åŒã«å¯ŸããŠããã®ãŸãŸæãç«ã€ããšã容æã«ããããå®éãäŸãã° <math>f_1(x)\equiv g_1(x)\pmod{n}, f_2(x)\equiv g_2(x)\pmod{n}</math> ãªãã° <math>f_1(x)=g_1(x)+nh_1(x), f_2(x)\equiv g_2(x)+nh_2(x)</math> ãšãªãæŽæ°ä¿æ°ã®å€é
åŒ <math>h_1(x), h_2(x)</math> ãååšãããã <math>f_1(x)f_2(x)\equiv g_1(x)g_2(x)+n(g_1(x)h_2(x)+g_2h_1(x))+n^2h_1(x)h_2(x)\equiv g_1(x)g_2(x)\pmod {n}</math> ãæãç«ã€ã
ååæ¹çšåŒãšã¯ãå€é
åŒ <math>f(x)</math> ãšããæŽæ° <math>n</math> ã«ãããæ³ã«ã€ããŠã<math>f(x) \equiv 0 \pmod{n}</math> ãšãã圢ã®åŒã§ãããå®ç 2.1.1 ãã <math>a \equiv b \Rightarrow f(a) \equiv f(b) \pmod{n}</math> ã ããã<math>0, 1, \cdots , n-1</math> ãŸã§å
šãŠä»£å
¥ããŠç¢ºãããŠã¿ãã°åççã«ã¯è§£ããã®ã§ããã
<math>f(x) = a_nx^n + a_{n-1}x^{n-1} + \cdots + a_1x + a_0</math> ã«ã€ããŠãåä¿æ° <math>a_{\gamma}</math> ãä»ã®ååãªæ°ã§çœ®ãæããŠãè¯ããç¹ã«ãæ³ <math>k</math> ã§å²ãåãããšãã¯ããã®é
ãæ¶å»ããŠãè¯ãããã®æäœããããšãã<math>a_n \not\equiv 0 \pmod{k}</math> ã®ãšãããã®åååŒã n 次ãšããã
åååŒ <math>f(x)\equiv 0\pmod{k}</math> ã n 次ã§ããããšã®å¿
èŠååæ¡ä»¶ã¯ <math>f(x)\equiv g(x)\pmod{k}</math> ãšãªãå€é
åŒ <math>g(x)</math> ã®äžã§æäœæ¬¡æ°ã®ãã®ã n 次ã§ããããšã§ããããã®ãã㪠<math>g(x)</math> ã®æé«æ¬¡ãã€ãŸã n 次ã®ä¿æ°ã¯ <math>k</math> ã§å²ãåããªãïŒå²ãåãããªãã°ããã®ä¿æ°ãæ¶å»ããããšã§ãããã«äœã次æ°ã®ã <math>f(x)</math> ãšååãªå€é
åŒããšããããã§ããïŒã
<math>p</math> ãçŽ æ°ãšãããšã<math>f(x)\equiv 0\pmod{p}</math> ã m 次ã®åååŒã§ã <math>g(x)\equiv 0\pmod{p}</math> ã n 次ã®åååŒã§ãããšã <math>f(x)g(x)\equiv 0\pmod{p}</math> 㯠m+n 次ã®åååŒã§ãããå®é <math>f(x)=pf_0(x)+f_1(x), g(x)=pg_0(x)+g_1(x)</math> ãšãªãããã« m次ã®å€é
åŒ <math>f_1(x)=a_m x^m+a_{m-1} x^{m-1}+\cdots </math> ãš n 次ã®å€é
åŒ <math>g_1(x)=b_n x^n+b_{n-1} x^{n-1}+\cdots </math> ããšãã° <math>f(x)g(x)\equiv f_1(x)g_1(x)\pmod{p}</math> ãšãªããããã§ <math>f_1(x)g_1(x)</math> ã® m+n 次ã®ä¿æ°ã¯ <math>a_mb_n</math> ã§ãããããã <math>f(x)\equiv 0\pmod{p}</math> 㯠m 次ã®åååŒã§ã<math>g(x)\equiv 0\pmod{p}</math> 㯠n 次ã®åååŒã ãã <math>a_m, b_n</math> 㯠<math>p</math> ã§å²ãåããªãããã£ãŠ <math>a_mb_n</math> ã <math>p</math> ã§å²ãåããªãïŒããã§æ³ãçŽ æ°ã§ããããšãçšããŠããïŒããã£ãŠ <math>f(x)g(x)\equiv f_1(x)g_1(x)\equiv 0\pmod{p}</math> 㯠m+n 次ã®åååŒã§ããã
ããã¯çŽ æ°ä»¥å€ã®æ³ã§ã¯äžè¬ã«æ£ãããªããããšãã° <math>(2x+1)(3x+1)\equiv 5x+1\pmod{6}</math> ãšãªãã巊蟺㮠1 次ã®ä¿æ°å士ãæãããš 6 ãæ³ãšããŠæ¶ããŠããŸãããã§ããã
çŽ æ°ãæ³ãšããååæ¹çšåŒã«ã€ããŠã以äžã®åºæ¬çãªäºå®ãæãç«ã€ã
====== å®ç 2.1.2 (ååæ¹çšåŒã®åºæ¬å®ç) ======
æ³ <math>p</math> ãçŽ æ°ã®ãšããn 次ã®åååŒ <math>f(x) \equiv 0 \pmod{p}</math> ã¯é«ã
n åã®è§£ãæã€ããã¡ãã解㯠p ãæ³ãšããŠäºãã«äžååãªãã®ãæ°ããããã匷ããn 次ã®åååŒ <math>f(x) \equiv 0 \pmod{p}</math> ãäºãã«äžååãªè§£ <math>x=x_1, x_2, \ldots, x_m</math> ãæã€ãªãã°ã
: <math>f(x) \equiv (x-x_1)(x-x_2)\cdots(x-x_m)g(x) \pmod{p}, g(x)\not\equiv 0\pmod{p}</math>
ãšå æ°åè§£ã§ããïŒç¹ã« <math>m\leq n</math> ã§ããïŒã
'''蚌æ'''<br />
n ã«é¢ããæ°åŠçåž°çŽæ³ã§èšŒæããã
<math>n=1</math>ã®ãšã㯠<math>f(x)</math> ãšåå㪠1次åŒã <math>g(x)=a_1 x+a_0</math> ãšããã <math>\gcd (a_1, p) = 1</math> ã§ãããã[[åçæŽæ°è«/ãŠãŒã¯ãªããã®äºé€æ³#å®ç 1.8|å®ç 1.8]] ããã<math>a_1x </math> ã <math>-a_0</math> ãšååã«ãªããã㪠<math>x=x_1</math> ã <math>p</math> ãæ³ãšããŠããã ã²ãšã€ååšãããããªãã¡ã<math>a_1 x+a_0\equiv 0\pmod{p}</math> ã¯ãã ã²ãšã€ã®è§£ãæããããããŠãã®ãšã
:<math>a_1 x+a_0\equiv a_1(x-x_1)\pmod{p}</math>
ãšãªãã<math>\gcd (a_1, p) = 1</math> ããå®çã¯æ£ããã
n-1 次ã®åååŒã«å¯ŸããŠå®çãæ£ãããšä»®å®ãã <math>f(x) \equiv 0 \pmod{p}</math> ã n 次ã®åååŒãšããã <math>f(x_m) \equiv 0 \pmod{p}</math>ãã <math>f(x) = (x-x_m)f_1(x) + f(x_m)</math> ãšãªãå€é
åŒ <math>f_1(x)</math> ãååšããã<math>f(x_m) \equiv 0 \pmod{p}</math> ãã
:<math>f(x)\equiv (x-x_m)f_1(x) \pmod{p}</math>
ãåŸããäžã®äºå®ãã <math>f_1(x)\equiv 0\pmod{p}</math> 㯠n-1 次ã®åååŒã§ããã
<math>p</math> ã¯çŽ æ°ãªã®ã ããã[[åçæŽæ°è«/ç®è¡ã®åºæ¬å®ç#å®ç 1.12|å®ç 1.12]] ããäžåŒã¯ <math>x-x_m</math> ãŸã㯠<math>f_1(x)</math> ã <math>p</math> ã§å²ãåãããšãã«ã ãæãç«ã€ããããã£ãŠã<math>f(x) \equiv 0</math> ã® <math>x_m</math> 以å€ã®è§£<math>x_1, x_2, \ldots, x_{m-1}</math> 㯠<math>f_1(x) \equiv 0</math> ã®è§£ã§ããïŒ<math>x_m</math> ãäŸç¶ãšã㊠<math>f_1(x) \equiv 0</math> ã®è§£ããç¥ããªããã蚌æã«ã¯åœ±é¿ããªãïŒã<math>f_1(x)\equiv 0\pmod{p}</math> 㯠n-1 次ã®åååŒã ãããåž°çŽæ³ã®ä»®å®ãã
:<math>f_1(x) \equiv (x-x_1)(x-x_2)\cdots (x-x_{m-1}) g(x)\pmod{p}</math>
ãšãªã <math>g(x)\not\equiv 0\pmod{p}</math> ãååšããããã£ãŠ
:<math>f(x)\equiv (x-x_1)\cdots (x-x_{m-1})(x-x_m)g(x) \pmod{p}</math>
ãšãªãããã® n ã«ã€ããŠãå®çãæ£ããã
ãã£ãŠä»¥äžããæ°åŠçåž°çŽæ³ã«ãã£ãŠå®çã¯èšŒæãããã
<math>x(x-1)\equiv 0\pmod{2}</math> ã¯ãã¹ãŠã®æŽæ° x=k ã«å¯ŸããŠæãç«ã€ãã巊蟺ã®å€é
åŒã¯ 2 ãæ³ãšããŠã 0 ïŒæ£ç¢ºã«ã¯é¶å€é
åŒïŒãšååã§ã¯ãªãããã®ããã«ããã¹ãŠã®æŽæ° k ã«å¯Ÿã㊠<math>f(k)\equiv g(k)\pmod{n}</math> ãšãªããããšãã£ãŠå€é
åŒ <math>f(x), g(x)</math> ã n ãæ³ãšããŠååã§ãããšã¯éããªãã®ã§æ³šæããªããã°ãªããªãã
== å°äœç³» ==
æ³ã 7 ãšããå ŽåãäœããšããŠå¯èœæ§ã®ããã®ã¯ <math>0, 1, 2, 3, 4, 5, 6</math> ã® 7 çš®é¡ã§ããã
ããã§ãåãäœãã®æ°ã®éåãäŸãã° <math>\{ \cdots -13, -6, 1, 8, 15 \cdots \}</math> ã¯ãã©ã®2ã€ããšã£ãŠãååã§ããããã®éåã®ããšããäžè¬ã«ãm ãæ³ãšããŠã®'''é¡'''ããšããã
m ãæ³ãšããŠã®é¡ã«å±ããå
šãŠã®æ°ã¯ãé¡ã®ä»»æã®1ã€ã®æ° <math>a</math> ãåã£ãŠããŠã<math>a + nt \ \ (t = \cdots, -2, -1, 0, 1, 2 \cdots)</math> ãšè¡šããããã® <math>a</math> ãé¡ã®ã'''代衚'''ãã®å
ããšããã
ããŠãããŸãã®å¯èœæ§ãšããŠããã®ã¯ 7 çš®é¡ã ã£ãããã7 ãæ³ãšããŠã®é¡ã¯å
šéšã§ 7 çš®é¡ã§ããã
<math>\begin{align}
& \{ \cdots -14, -7, 0, 7, 14 \cdots \} \\
& \{ \cdots -13, -6, 1, 8, 15 \cdots \} \\
& \{ \cdots -12, -5, 2, 9, 16 \cdots \} \\
& \{ \cdots -11, -4, 3, 10, 17 \cdots \} \\
& \{ \cdots -10, -3, 4, 11, 18 \cdots \} \\
& \{ \cdots -9, -2, 5, 12, 19 \cdots \} \\
& \{ \cdots -8, -1, 6, 13, 20 \cdots \} \\
\end{align}</math>
ãå
šãŠã®é¡ã§ããããã®ãšãããããã® 7 çš®é¡ã®é¡ããæ°ã1ã€ãã€åãåºããŠãããšããïŒäŸãã°ã<math>\{ 0, 1, 2, 3, 4, 5, 6 \}, \{ -14, 8, 2, 10, -3, -2, 6 \}</math>ïŒããã®ãšãããããã® 7 åã®æŽæ°ãã7 ãæ³ãšããŠã®åé¡ã®'''代衚ã®äžçµ'''ããŸãã¯'''å°äœç³»'''ããšããã
äžè¬ã«ãm ãæ³ãšããŠã® m çš®é¡ã®é¡ããæ°ã1ã€ãã€åãåºãããšãããããã® m åã®æ°ã¯ãm ãæ³ãšããŠã®åé¡ã®'''代衚ã®äžçµ'''ããŸãã¯'''å°äœç³»'''ããšããã
ããŠãå°äœç³»ã«é¢ããŠã次ã®å®çãæãç«ã€ã
====== å®ç 2.1.3 ======
èŠçŽ ã <math>m</math> åã®éå <math>M</math> ã <math>m</math> ãæ³ãšããŠã®å°äœç³»ã§ããããã®å¿
èŠå忡件ã¯ã<math>M</math> ã®ã©ã®2ã€ããšã£ãŠãäºãã«äžååã§ããããšã§ããã
'''蚌æ'''<br />
å®çŸ©ããã<math>M</math> ãå°äœç³»ãªãã° <math>M</math> ã®ã©ã®2ã€ããšã£ãŠãäºãã«äžååãªã®ã¯èªæã
èŠçŽ ã <math>m</math> åã®éå <math>M</math> ã®ã©ã®2ã€ããšã£ãŠãäºãã«äžååã§ãããšããããäœãã®çš®é¡ã¯ <math>0, 1, \cdots , m-1</math> ã® <math>m</math> çš®é¡ã§ãããååã®å®çŸ©ãããã©ã®2ã€ããšã£ãŠãäºãã«äžååã§ããã®ã§ãå²ã£ãäœããå®ããã°ããã«å¯Ÿå¿ãã <math>M</math> ã®èŠçŽ ã¯èŠã€ããã¯ãã§ãããïŒ[[w:鳩ã®å·£åç]]ïŒ
逿³ã®åçãããå
šãŠã®æŽæ°ã¯ãã äžéãã« <math>k = mq + r \ (0 \leqq r < m)</math> ãšè¡šãããå
ã»ã©ã®è°è«ããã<math>t \in M, \ t \equiv r \pmod{m}</math> ãšãªã <math>t</math> ãååšãããååã®å®çŸ©ããã<math>t - r = ms</math> ãšãããšã
<math>r = t - ms \iff mq + r = t - ms + mq \iff k = t + m(q-s)</math> ãšãªãã<math>k</math> ãã<math>t</math> ã«ãã£ãŠä»£è¡šãããé¡ã®æ°ãšããŠè¡šãããšãåºæ¥ãããŸãããã¯ãã äžéãã§ããã<math>k</math> ã¯ä»»æã®æ°ã§ãããããªãã¡ã<math>M</math> ã¯å°äœç³»ããªããŠããã
ããŠãèŠçŽå°äœç³»ãšãããã®ãåºãŠããããäžè¬ã« <math>(r, m) = d \Rightarrow (r + mt, m) = d</math> ã§ããã®ã§ãé¡ã®æ°ã¯å
šãŠæ³ãšäºãã«çŽ ããããã¯äžå®ã®æå€§å
¬çŽæ°ãæã€ããã®ãã¡ãäºãã«çŽ ãªæ°ã®ã¿ã®é¡ãæ¢çŽé¡ãšãããå°äœç³»ã®ãã¡æ¢çŽé¡ã®ã¿ããæ°ãåãåºãããã®ãèŠçŽå°äœç³»ãšããã
=== å°äœé¡ç° ===
7 ãæ³ãšããå°äœç³»ãšããŠæãç°¡åãªãã®ã¯ããããã <math>M = \{ 0, 1, 2, 3, 4, 5, 6 \}</math> ã ãããããã«ãå æ³ãšä¹æ³ãå®çŸ©ããã
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ã©ã®ããã«ãã®è¡šãäœã£ãŠããããšãããšã<math>M</math> ã¯å°äœç³»ãªã®ã§ãä»»æã®æ° <math>k</math> 㯠<math>m \equiv k \pmod{7}</math> ãªã <math>m \in M</math> ããã ã²ãšã€ååšãããããã§ã<math>a, b \in M</math> ã«ã€ããŠã<math>a + b, ab</math> ã <math>M</math> ã®ãã ã²ãšã€ã®èŠçŽ <math>m, n</math> ãšååã§ããããã«ããããšãã§ããããã®ãšãã® <math>m, n</math> ãããããã<math>a + b = m, ab = n</math> ãšå®çŸ©ããã®ã§ããã
ãã®æŠå¿µã¯ä»»æã®æ³ã«æ¡åŒµããããšãã§ããããã®ãšãæ³ãšããæ°ã«ãã£ãŠã<math>\mathbb{Z} / m\mathbb{Z}</math> ãšæžãããŸããããã¯é¡ã®ä»£è¡šã®å
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ãŸã å®ç 2.1.1 (viii) ãã <math>\gcd (a, n)=1</math> ã§ããéã <math>ak\equiv b\pmod{n}</math> ãšãªã <math>k</math> ãååšããããããã®ãã㪠<math>k</math> ã®å±ããå°äœé¡ã¯ãã 1ã€ã«å®ãŸãããšãããããç¹ã« <math>ak\equiv 1\pmod{n}</math> ãšãªã <math>k</math> ã®å±ããå°äœé¡ã¯ä¹æ³ã«é¢ãã <math>a</math> ã®éå
ã§ãããããã <math>\bar a</math> ã§ããããããšãããããã®ãšã <math>ak\equiv b\pmod{n}\iff k\equiv b\bar a\pmod{p}</math> ã§ããã
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2023-08-14T17:31:14Z
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{{NDC|492.2}}
[[da:FÞrstehjÊlp]]
[[de:Erste-Hilfe]]
[[en:First Aid]]
[[es:Asistencia Sanitaria Inmediata]]
[[fr:Premiers secours]]
[[it:Primo soccorso]]
[[pl:Pomoc przedlekarska]]
[[ro:Primul Ajutor]]
[[fi:Ensiapu]]
|
2010-10-04T07:18:54Z
|
2023-09-29T11:07:19Z
|
[
"ãã³ãã¬ãŒã:Pathnav",
"ãã³ãã¬ãŒã:Substub",
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https://ja.wikibooks.org/wiki/%E5%BF%9C%E6%80%A5%E5%87%A6%E7%BD%AE
|
14,987 |
Lojban For Beginners æ¥æ¬èªèš³/6ã®ãŸãšã
|
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2015-08-07T12:15:01Z
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14,989 |
Lojban For Beginners æ¥æ¬èªèš³/7ã®ãŸãšã
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ãã®ç« ã§ã¯ä»¥äžã®ããšãå匷ããŸããã
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** åã«åºãŠãã bridi ã䜿ãããšã§ïŒle go'iïŒ
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2015-08-07T12:14:54Z
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[] |
https://ja.wikibooks.org/wiki/Lojban_For_Beginners_%E6%97%A5%E6%9C%AC%E8%AA%9E%E8%A8%B3/7%E3%81%AE%E3%81%BE%E3%81%A8%E3%82%81
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==åç
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----
{{ååŸ
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{{stub}}
[[category:ç Žç£æ³|160]]
| null |
2010-10-07T02:56:09Z
|
[
"ãã³ãã¬ãŒã:Stub",
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https://ja.wikibooks.org/wiki/%E7%A0%B4%E7%94%A3%E6%B3%95%E7%AC%AC149%E6%9D%A1
|
14,992 |
ç Žç£æ³ç¬¬148æ¡
|
æ³åŠ>æ°äºæ³>ã³ã³ã¡ã³ã¿ãŒã«>ã³ã³ã¡ã³ã¿ãŒã«ç Žç£æ³
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æ³åŠïŒæ°äºæ³ïŒã³ã³ã¡ã³ã¿ãŒã«ïŒã³ã³ã¡ã³ã¿ãŒã«ç Žç£æ³
|
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==解説==
==åç
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----
{{ååŸ
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|[[ç Žç£æ³ç¬¬147æ¡]]<br>(ç Žç£ç®¡è²¡äººã«å¯Ÿããå ±ååœä»€)
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[[category:ç Žç£æ³|160]]
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2010-10-07T07:26:45Z
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"ãã³ãã¬ãŒã:Stub"
] |
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[
{
"paragraph_id": 0,
"tag": "p",
"text": "ãã®æ¬ã®ç®çã¯ãèªè
ãèšç®æ©ç§åŠè
ãšåããããªèãæ¹ãã§ããããã«ããããšã§ãã ãã®èãæ¹ã¯ãšã¯ãæ°åŠè
ããšã³ãžãã¢ãç§åŠè
ã®ãããšãããããããèãæ¹ã§ãã èšç®æ©ç§åŠè
ã¯ãæ°åŠè
ã®ããã«ãèªåã®èããŠããããš(ç¹ã«èšç®ã«é¢ããããš)ã衚çŸããã®ã«åœ¢åŒèšèªã䜿ããŸãã èšç®æ©ç§åŠè
ã¯ããšã³ãžãã¢ã®ããã«ãèšèšããéšåãçµã¿åãããŠã·ã¹ãã ãã€ãããéžæè¢ã®ãã¬ãŒããªããè©äŸ¡ããŸãã èšç®æ©ç§åŠè
ã¯ãç§åŠè
ã®ããã«ãè€éãªã·ã¹ãã ã®æ¯ãèãã芳å¯ãã仮説ãç«ãŠãäºæž¬ããã¹ãããŸãã",
"title": ""
},
{
"paragraph_id": 1,
"tag": "p",
"text": "èšç®æ©ç§åŠè
ã«ãšã£ãŠãå¯äžéèŠãªèœåã¯ãåé¡ã解決ããèœåã§ãã åé¡è§£æ±ºãšã¯ãåé¡ãå®åŒåããè§£æ±ºæ¹æ³ãèããè§£æ±ºæ¹æ³ãæå¿«ã§æ£ç¢ºã«è¡šçŸã§ããèœåã®ããšã§ãã ãã®æ¬èªã¿çµããé ã«ã¯ãããã°ã©ã ãããŒãããšããããšã¯ããã®åé¡è§£æ±ºèœåã磚ãããæ©äŒã§ãããšããããšããããã ããã ãããããããã®ç« ããããã°ã©ã ã®ããæ¹ããšããçç±ã§ããã",
"title": ""
},
{
"paragraph_id": 2,
"tag": "p",
"text": "ããã°ã©ã ãããŒããããšã¯ããã®ããšèªäœäŸ¿å©ãªèœåã§ããã ããããå¥ã®èãæ¹ã§ã¯ãããã°ã©ã ãããŒããããšããç®çãéæããããã®ææ®µãšããããšãã§ããã æ¬ãèªã¿é²ããŠããã°ããã®ç®çãšãããã®ãããæç¢ºã«ãªã£ãŠããã ããã",
"title": ""
},
{
"paragraph_id": 3,
"tag": "p",
"text": "ããããåŠç¿ããŠããããã°ã©ãã³ã°èšèªã®ååã¯PythonãšãããŸãã Pythonã¯ã髿°Žæºèšèªã®ã²ãšã€ã§ãã ä»ã®é«æ°ŽæºèšèªãšããŠãC, C++, Perl, Javaãšãã£ãååãèããããšããããããããŸããã",
"title": ""
},
{
"paragraph_id": 4,
"tag": "p",
"text": "äœæ°Žæºèšèªããããæ©æ¢°èªããã¢ã»ã³ããªèšèªã該åœããŸãã 倧éæã«èšããšãã³ã³ãã¥ãŒã¿ã¯äœæ°Žæºèšèªã§æžãããããã°ã©ã ããå®è¡ã§ããŸããã ãã£ãŠã髿°Žæºèšèªã§æžãããããã°ã©ã ã¯ãå®è¡ããåã«å å·¥ããå¿
èŠããããŸãã ãã®äœèšãªå å·¥ãå¿
èŠãšããåã ãã髿°Žæºèšèªã§æžãããããã°ã©ã ã¯å®è¡é床ãé
ããªããŸããããã®å·®ã¯å°ãããããã»ã©äžå©ãšã¯ãªããªããŸããã",
"title": ""
},
{
"paragraph_id": 5,
"tag": "p",
"text": "äžæ¹ãå©ç¹ã¯éåžžã«å€§ããã ãŸãã髿°Žæºèšèªã§ã¯ãããã°ã©ã ãéåžžã«ç°¡åã«ãªããŸãã 髿°Žæºèšèªã§ã®ããã°ã©ã ã¯æžãã®ã«ããŸãæéããããããèªãæéãçããæ¥œã§ãééããå°ãªãã ãŸãã髿°Žæºèšèªã¯ãæã¡éã³ããã§ããŸãã ã€ãŸããä»ã®çš®é¡ã®ã³ã³ãã¥ãŒã¿ã§ãã»ãšãã©äœã®ä¿®æ£ããªãå®è¡ã§ããŸãã äœæ°Žæºèšèªã§æžãããããã°ã©ã ã¯ãããã²ãšã€ã®çš®é¡ã®ã³ã³ãã¥ãŒã¿ã§ããå®è¡ã§ãããä»ã®çš®é¡ã®ã³ã³ãã¥ãŒã¿ã§å®è¡ããããšãããšããäžåºŠæžããªããå¿
èŠãã§ãŠããŸãã",
"title": ""
},
{
"paragraph_id": 6,
"tag": "p",
"text": "ãã®ãããªå©ç¹ã®ããã«ãã»ãšãã©å
šãŠã®ããã°ã©ã ã¯é«æ°Žæºèšèªã§æžãããŠããŸãã äœæ°Žæºèšèªã¯ç¹å¥ãªç®çã®ããã«äœ¿ãããã«éããŸããã",
"title": ""
},
{
"paragraph_id": 7,
"tag": "p",
"text": "髿°Žæºèšèªã§æžãããããã°ã©ã ããã³ã³ãã¥ãŒã¿ãå®è¡å¯èœãªäœæ°Žæºèšèªã«å€æããæ¹æ³ã«ã¯2ã€ã®çš®é¡ããããŸãã ã€ã³ã¿ãŒããªã¿ãäœ¿ãæ¹æ³ãšãã³ã³ãã€ã©ãäœ¿ãæ¹æ³ã§ãã ã€ã³ã¿ãŒããªã¿ã¯ã髿°Žæºèšèªãèªã¿ãå®è¡ããŸãã ã€ãŸããããã°ã©ã ãæžãããéãã«å®è¡ããŸãã ã€ã³ã¿ãŒããªã¿ã¯ãããã°ã©ã ãäžåºŠã«å°ããã€èªãã§å®è¡ããŸãã",
"title": ""
},
{
"paragraph_id": 8,
"tag": "p",
"text": "äžæ¹ã³ã³ãã€ã©ã¯ãããã°ã©ã ãå®è¡ããåã«ãå
šäœãèªã¿èŸŒã¿å€æãŸãã ãã®æå³ã§ã髿°Žæºèšèªã®ããã°ã©ã ã¯ãœãŒã¹ã³ãŒããšåŒã°ãã倿ãããããã°ã©ã ããªããžã§ã¯ãã³ãŒããããã¯ãå®è¡ãã¡ã€ã«ãšåŒã³ãŸãã ããã°ã©ã ãã³ã³ãã€ã«ããããšã倿ãããçŽãå¿
èŠã¯ãªããäœåºŠã§ãå®è¡ããããšãã§ããŸãã",
"title": ""
},
{
"paragraph_id": 9,
"tag": "p",
"text": "ã€ã³ã¿ãŒããªã¿ã䜿ãã«ã¯2ã€ã®æ¹æ³ããããŸãã ããã¯ãã€ã³ã¿ã©ã¯ãã£ãã¢ãŒããšãã¹ã¯ãªããã¢ãŒãã§ããã ã€ã³ã¿ã©ã¯ãã£ãã¢ãŒã(察話ã¢ãŒã)ã§ã¯ãPythonã®ããã°ã©ã ãå
¥åãããšãã€ã³ã¿ãŒããªã¿ããã®çµæã衚瀺ããŸãã",
"title": ""
},
{
"paragraph_id": 10,
"tag": "p",
"text": ">>>ã®èšå·ã¯ãããã³ãããšåŒã°ããã€ã³ã¿ãŒããªã¿ã®æºåãã§ããŠããããšã瀺ããŸãã 1 + 1ãšå
¥åãããšãã€ã³ã¿ãŒããªã¿ã¯ãã®çµæã®2ã衚瀺ããŸãã",
"title": ""
},
{
"paragraph_id": 11,
"tag": "p",
"text": "ããã°ã©ã ããã¡ã€ã«ã«ä¿åããŠããã®ãã¡ã€ã«ã®å
容ãã€ã³ã¿ãŒããªã¿ã«æž¡ããŠãå®è¡ããããšããæ¹æ³ããããŸãã ãã®ãšããããã°ã©ã ãä¿åãããã¡ã€ã«ãã¹ã¯ãªãããšåŒã³ãŸãã æ
£ç¿çã«ãPythonã®ã¹ã¯ãªããã¯ã.pyã§çµãããã¡ã€ã«åãæã¡ãŸãã",
"title": ""
},
{
"paragraph_id": 12,
"tag": "p",
"text": "ã¹ã¯ãªãããå®è¡ããã«ã¯ãã€ã³ã¿ãŒããªã¿ã«ãã®ãã¡ã€ã«åãäŒããå¿
èŠããããŸãã UNIXã®ã³ãã³ããŠã£ã³ããŠã§ã¯ãpython dinsdale.py ãšå
¥åããŠãã ããã ä»ã®ç°å¢ã§ã¯ãã¹ã¯ãªãããå®è¡ããæ¹æ³ã¯ç°ãªããŸãã Pythonã®Webãµã€ã(python.org)ã§ãèªåã®ç°å¢ã«åã£ãå®è¡æ¹æ³ãæ¢ããŠãã ããã",
"title": ""
},
{
"paragraph_id": 13,
"tag": "p",
"text": "ã€ã³ã¿ã©ã¯ãã£ãã¢ãŒãã¯ãããã«çµæãåºãã®ã§ãã³ãŒãã®äžéšããã¹ãããã«ã¯äŸ¿å©ã§ãããæ°è¡ãè¶ããã³ãŒãã«ãªããšãããšã§å€æŽã§ããããã«ã¹ã¯ãªãããšããŠä¿åãå®è¡ãã¹ãã§ãã",
"title": ""
},
{
"paragraph_id": 14,
"tag": "p",
"text": "ããã°ã©ã ãšã¯ãã©ã®ãããªèšç®ãå®è¡ããã®ããæå®ãããåœä»€æãé çªã«äžŠãã ãã®ã§ãã ããã§èšç®ãšã¯ãæ°åŠçãªçåŒã®è§£ãèšç®ãããã®ã§ãããããå€é
åŒã®è§£ãèŠã€ãããã®ã§ããããã æç« ã®äžããæåãæ¢ããŠå¥ã®æåã«å€æãããã®ã§ãããã(å€ã ãã©)ããã°ã©ã ãã³ã³ãã€ã«ãããã®ã§ãããã",
"title": ""
},
{
"paragraph_id": 15,
"tag": "p",
"text": "ããã°ã©ãã³ã°èšèªã«ãã£ãŠç°ãªããŸãããåºæ¬çãªåœä»€ã¯ã»ãšãã©å
šãŠã®ããã°ã©ãã³ã°èšèªã«åããããŠããŸãã",
"title": ""
},
{
"paragraph_id": 16,
"tag": "p",
"text": "ä¿¡ããããšä¿¡ããŸããšããŸãã«ãã®éããªã®ã§ããã ããªãã䜿ã£ãããšã®ããããã°ã©ã ãããããã©ããªã«è€éã§ãã£ãŠããããã§èª¬æãããããªåœä»€ããåºæ¥äžãã£ãŠããã ãã£ãŠãããã°ã©ãã³ã°ãšã¯ã倧ãããŠè€éãªä»äºããåºæ¬çãªåœä»€ã§åŠçã§ããã»ã©ã®å°ããªä»äºã«ãŸã§åè§£ããŠããããšã§ãããšãããã",
"title": ""
},
{
"paragraph_id": 17,
"tag": "p",
"text": "ãã®èª¬æã¯ãããããŸãã ããã¢ã«ãŽãªãºã ã説æãããšãã«ããäžåºŠèª¬æããã",
"title": ""
},
{
"paragraph_id": 18,
"tag": "p",
"text": "ããã°ã©ãã³ã°ã«ã¯ããšã©ãŒãã€ãç©ã§ãã å€ãã£ãçç±ã§ãããã°ã©ã ã®ãšã©ãŒã¯ããã°ãšåŒã°ãããã°ãæ¢ããŠä¿®æ£ããããšããããã°ãšåŒã³ãŸãã",
"title": ""
},
{
"paragraph_id": 19,
"tag": "p",
"text": "ããã°ã©ãã³ã°ã®éã«çºçãããšã©ãŒã¯æ¬¡ã®3çš®é¡ã«åé¡ãããŸãã ææ³ãšã©ãŒãšãå®è¡æãšã©ãŒãšãã»ãã³ãã£ãã¯ãšã©ãŒ(å
容çãšã©ãŒ)ã§ãã ãããã®ãšã©ãŒã¯ããããã°ã®éã«åºå¥ãããŸãã",
"title": ""
},
{
"paragraph_id": 20,
"tag": "p",
"text": "Pythonã¯ãææ³ãæ£ããå Žåã«éã£ãŠããã°ã©ã ãå®è¡ã§ããŸãã ææ³çã«æ£ãããªããšã€ã³ã¿ãŒããªã¿ã¯ããšã©ãŒã¡ãã»ãŒãžã衚瀺ããŸãã ææ³ã¯ãããã°ã©ã ã®æ§é ãšãæ§é ã«ã€ããŠã®ã«ãŒã«ãåç
§ãŸãã ããšãã°ãæ¬åŒ§ã¯å¿
ããã¢ã§äœ¿ãããªããã°ãªããã(1 + 2)ã¯ææ³çã«æ£ããã§ããã8)ã¯ãææ³çã«ééã£ãŠããŸãã",
"title": ""
},
{
"paragraph_id": 21,
"tag": "p",
"text": "è±èªãããã人ã«ã¯ãå€ãã®ææ³ãšã©ãŒãèš±ããã§ãããããèš±ãããããããšã©ãŒã¡ãã»ãŒãžãåããã«è©©æãèªãããšãã§ããŸãã ããããPythonã¯ææ³ãšã©ãŒãèš±ããŸããã ããã°ã©ã ã«ã©ããäžç®æã§ãææ³ãšã©ãŒããããšãPythonã¯ãšã©ãŒã¡ãã»ãŒãžã衚瀺ããããã°ã©ã ã®å®è¡ããããŠããŸããŸãã ããã°ã©ãã³ã°ãå§ããŠæåã®æ°é±éã¯ãææ³ãšã©ãŒãæ¢ãããšã«å€ãã®æéãè²»ããããšã«ãªãã§ãããã æ
£ããŠãããšããã¹ãããããšã¯å°ãªããªããããšã©ãŒããã£ãŠãããã«èŠã€ããããããã«ãªããŸãã",
"title": ""
},
{
"paragraph_id": 22,
"tag": "p",
"text": "ãšã©ãŒã®çš®é¡ã®2ã€ç®ã¯ãå®è¡æãšã©ãŒ(ã©ã³ã¿ã€ã ãšã©ãŒ)ã§ãã ããã¯ãããã°ã©ã ãå®è¡ããªããšçºèŠã§ããªããšã©ãŒãªã®ã§ãå®è¡æãšã©ãŒãšåŒã°ããŸãã å®è¡æãšã©ãŒã¯ããäŸå€ããšãåŒã°ãŸãã ããã¯ãå®è¡æãšã©ãŒããäŸå€çãªåŠçãããããšããå Žåã«çºçããããšãå€ãããã§ãã",
"title": ""
},
{
"paragraph_id": 23,
"tag": "p",
"text": "å°èŠæš¡ãªããã°ã©ã ã§ã¯ãå®è¡æãšã©ãŒãçºçããããšã¯å°ãªãã®ã§ã第1ç« ã§èŠãããšã¯ãªãã§ãããã",
"title": ""
},
{
"paragraph_id": 24,
"tag": "p",
"text": "ãšã©ãŒã®çš®é¡ã®3ã€ç®ã¯ãã»ãã³ãã£ãã¯ãšã©ãŒã§ãã ã»ãã³ãã£ãã¯ãšã©ãŒã¯ãããã°ã©ã äžã«å«ãŸããŠããŠãã(äœã®ãšã©ãŒã¡ãã»ãŒãžã衚瀺ããªããšããæå³ã§)ããã°ã©ã ã¯æ£åžžã«å®è¡ãããŸããã æ£ããããã°ã©ã ã§ã¯ãããŸããã äœãå¥ã®ããšãå®è¡ããŠããŸãã å¥ã®ããšãšã¯å
·äœçã«ã¯ãæžãããéãã®ããšã§ãã",
"title": ""
},
{
"paragraph_id": 25,
"tag": "p",
"text": "åé¡ã¯ãæžãããŠããããã°ã©ã ããæžãããšæã£ãŠããããã°ã©ã ãšç°ãªãããšã§ãã ããã°ã©ã ã®å
容(ã€ãŸãããã°ã©ã ã®ã»ãã³ãã£ãã¯)ãééã£ãŠããã®ã§ãã ã»ãã³ãã£ãã¯ãšã©ãŒãèŠã€ããããšã¯ãããªãé£ããããšã§ãã ãªããªããããã°ã©ã ã®çµæãèŠãŠãããã°ã©ã ãäœããã£ãŠããã®ããçè§£ãããšããéåžžãšéã®äœæ¥ãå¿
èŠãšãªãããã§ãã",
"title": ""
},
{
"paragraph_id": 26,
"tag": "p",
"text": "ããã°ã©ã ã®èœåã®ãã¡æãéèŠãªèœåã®ã²ãšã€ã¯ããããã°ã®èœåã§ãã ãããã°ã¯é¢åãªä»äºã§ãããç¥çã§ãããããããããé¢çœãéšåã§ããããŸãã",
"title": ""
},
{
"paragraph_id": 27,
"tag": "p",
"text": "ãããã°ã¯ãæ¢åµã®ä»äºã«äŒŒãŠããéšåããããŸãã äœããã®ãã³ããããç®ã®åã«è¡šç€ºãããŠãããšã©ãŒãåŒãèµ·ãããŠããããã»ã¹ãã€ãã³ãã¯äœãªã®ããæšçããå¿
èŠããããŸãã",
"title": ""
},
{
"paragraph_id": 28,
"tag": "p",
"text": "ãããã°ã¯ãå®éšç§åŠã«ã䌌ãŠããŸãã äœãééã£ãŠããã®ãã®ä»®èª¬ãç«ã£ãå Žåã«ã¯ãããã°ã©ã ãä¿®æ£ããŠå®è¡ã仮説ã確ãããããšãã§ããŸãã ãããä»®èª¬ãæ£ãããã°ãä¿®æ£ããçµæãäºæž¬ããããšãã§ããããæ£ããåäœããããã°ã©ã ã«äžæ©è¿ã¥ããããšã«ãªããŸãã 仮説ãééã£ãŠããã°ãå¥ã®ä»®èª¬ãç«ãŠãå¿
èŠããããŸãã ã·ã£ãŒããã¯ããŒã ãºãææããããã«ããäžå¯èœãªå¯èœæ§ãæé€ããŠããã°ãæ®ã£ãå¯èœæ§ãã©ããªã«æãåŸãªãããã§ãã£ãŠãããããçå®ã ãã (ã³ãã³ã»ãã€ã«4ã€ã®çœ²åãã)",
"title": ""
},
{
"paragraph_id": 29,
"tag": "p",
"text": "ããã°ã©ãã³ã°ãšããããã°ã¯åããã®ã ãšãã人ãããŸãã ã©ãããããšããšãããšãããã°ã©ãã³ã°ãšããäœæ¥ã¯ãäœãããããã°ã©ã ãåäœãããŸã§å°ããã€ãããã°ããŠãããšããããšã§ãã£ãŠãã€ãŸããåäœãããå°ããªããã°ã©ã ã®éšåãäœãããã®éšåã®ä¿®æ£ããããã°ãããŠããããšã§ãèªç¶ãšããã°ã©ã ã宿ãããšããããšã§ãã",
"title": ""
},
{
"paragraph_id": 30,
"tag": "p",
"text": "äŸãã°ãLinuxã¯ãæ°äžè¡ã®ã³ãŒãã«ããäœãããŠããOSã§ããã æåã¯ããªãŒãã¹ã»ããŒãã«ãºãã€ã³ãã«ã®80386ãšããICãè§£æããããã®ç°¡åãªããã°ã©ã ã§ããã Larry Greenfieldã«ããã°ããã©ã€ãã¹ã®åæã®ãããžã§ã¯ãã¯ãAAAAãšBBBBã®è¡šç€ºãåãæ¿ãããã®ã§ãããããããæåŸã«ã¯Linuxã«ãŸã§æé·ãããã(The Linux Usersâ Guide Beta Version 1ãã) åŸã®ç« ã§ããããã°ãããã°ã©ãã³ã°ã®ææ³ã«ã€ããŠã¯ãããã«ç޹ä»ããŠããŸãã",
"title": ""
},
{
"paragraph_id": 31,
"tag": "p",
"text": "èªç¶èšèªãšã¯ãè±èªãã¹ãã€ã³èªããã©ã³ã¹èªã®ãããªã人éã«ãã£ãŠè©±ãããŠããèšèªã®ããšããããŸãã èªç¶èšèªã¯ã(ææ³ã«ã«ãŒã«ã課ãå Žåã¯ãã£ãŠãã)人éãèšèšãããã®ã§ã¯ãªããèªç¶ãšå€åããŠãããã®ã§ãã",
"title": ""
},
{
"paragraph_id": 32,
"tag": "p",
"text": "圢åŒèšèªãšã¯ãäœããã®ç®çã®ããã«äººéã«ãã£ãŠèšèšããããã®ãæããŸãã äŸãã°ãæ°åŠã®æ·»ãåã®ã«ãŒã«ãªã©ã¯ãç¹ã«æ°åãšèšå·ã®é¢ä¿ã瀺ãã®ã«äŸ¿å©ãªåœ¢åŒèšèªã§ãã ååŠè
ã¯ãååæ§é ã衚çŸããã®ã«åœ¢åŒèšèªãçšããŸãã ããã°ã©ãã³ã°èšèªãç¹å¥ãªèšç®ã®ããã«äººéã«ãã£ãŠèšèšããã圢åŒèšèªã§ãã",
"title": ""
},
{
"paragraph_id": 33,
"tag": "p",
"text": "å€ãã®åœ¢åŒèšèªã¯ããã®æ§æã«ã€ããŠå³æ Œãªã«ãŒã«ãå®ããŠããŸãã äŸãã°ã3+3=6ã¯ãæ°åŠã®æãšããŠæ°åŠçã«æ£ãã§ããã3+=3$6ã¯æ°åŠçã«ééã£ãŠããŸãã H2Oã¯ãååŠçã«æ£ããã§ããã2Zzã¯ééã£ãŠããŸãã",
"title": ""
},
{
"paragraph_id": 34,
"tag": "p",
"text": "æ§æã®ã«ãŒã«ã«ã¯ãµãã€ã®åŽé¢ãããèšå·ãšãæ§é ã«é¢ä¿ããŸãã èšå·ã¯ãèšèªã®åºæ¬çãªèŠçŽ ã§ãåèªããæ°ããååŠçãªå
çŽ ãªã©ã§ãã 3+=3$6ãšããæã®ãæ°åŠçãªåé¡ç¹ã®ã²ãšã€ã¯ã$ãšããèšå·ããæ°åŠã«ãããŠæå¹ãªèšå·ã§ã¯ãªããšããããšã§ãã(å°ãªããšãç§ã®ç¥ãéã) åæ§ã«ã2Zzã®ååŠçã«ééã£ãŠããç¹ã¯ãZzãšããç¥ç§°ããã€å
çŽ ããªãããšã§ãã",
"title": ""
},
{
"paragraph_id": 35,
"tag": "p",
"text": "æ§æãšã©ãŒã®çš®é¡ã®ãµãã€ãã¯ãæã®æ§é ã«é¢ããããšã§ãã ã€ãŸããæã®èŠçŽ ã®äžŠã¹æ¹ã§ãã 3+=3$6ãšããæã¯ã+ãš=ãã©ã¡ããæå¹ãªããŒã¯ã³ã§ã¯ãã£ãŠããééã£ãæã§ããã+ã®ããåŸã«=ãã€ããŠã¯ãããŸããã åæ§ã«åååŒã«ãããŠã¯ãæ°åã¯ãæ·»ãåã«ãªããå
çŽ èšå·ã®åã«ã¯ã€ããŸããã",
"title": ""
},
{
"paragraph_id": 36,
"tag": "p",
"text": "ç·Žç¿åé¡1 ææ³çã«æ£ããããæå¹ã§ãªãèšå·ãçšããè±èªã®æç« ãæžãã ãããããæå¹ãªèšå·ãçšããŠããããææ³çã«æ£ãããªãæç« ãæžãã è±èªã®æç« ã§ãã£ãŠãã圢åŒèšèªã§ãã£ãŠãæç« ãèªããšãã¯ãèªããšãã¯ã (èªç¶èšèªã®å Žåã¯ç¡æèã«è¡ã£ãŠããã§ãããã)æã®æ§é ãçè§£ããªããã°ãªããªãã ãã®ããšãããŒã¹ãšåŒã¶ã",
"title": ""
}
] |
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[[Category:Python|ãµããããŸã®ããã«ãããããã«ã¯ ãµãããã¿ããã®ãããã]]
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2021-11-17T14:29:28Z
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[
{
"paragraph_id": 0,
"tag": "p",
"text": "ããã§ã¯æŒ¢æã®èªã¿æ¹ã«ã€ããŠè§£èª¬ãããè¿èªæåãšåèªæåã«ã€ããŠã¯å¥ããŒãžãšããŠãããããã§ã¯ãè¿ãç¹ãš åºæ¬æåããã®ä»ã®åºæ¬äºé
ã®ã¿æ±ãããªããæ¬çš¿ã§ã¯æšªæžããšãªãã®ã§ãäžä»ãæåã«éãä»®åãäžä»ãæåã«è¿ãç¹ãæã£ãŠãããæŒ¢åã¯æ°åäœ(çŸä»£çšããæŒ¢å)ãšããŠããã",
"title": ""
},
{
"paragraph_id": 1,
"tag": "p",
"text": "挢æã¯å
æ¥ãäžåœã®æç« ã§ããããŸããçŸä»£ã®ããã«å¥èªç¹ãã«ãã³ã®ã«ãŒã«ããã£ãããã§ã¯ãªãã®ã§ãåŸäžã®æ¥æ¬äººç ç©¶è
ãã¡ãèªã¿ãããããããã«å¥èªç¹ãªã©ãã€ãããã®ããæŒ¢æããšããŠç޹ä»ãããŠããããšã«ã泚æã",
"title": "åºæ¬äºé
"
},
{
"paragraph_id": 2,
"tag": "p",
"text": "ããŠã挢åããæžãããŠããªãæ£çæ£éã®æŒ¢æãçœæ(ã¯ãã¶ã)ãšããããã®çœæã«èšç¹(éãä»®åã»è¿ãç¹(ã¬ç¹ãäžäºç¹ãäžäžç¹ãªã©)ãã«ãã³ãå¥èªç¹ãå«ããå Žåããã)ãæžãå
¥ããæ¥æ¬ã®æèªæã«èªã¿ãããæ¹æ³ãèšèª(ããã©ã)ãšããããããŠãèšèªã«ãããã£ãŠèªããšããã«ä»®åæ··ããæã«ããæãæžãäžãæ(ãããã ãã¶ã)ãšããããªããæžãäžãæãåã³æŒ¢æ(ç¹ã«çœæ)ã«æ»ãããšã埩æãšããã",
"title": "åºæ¬äºé
"
},
{
"paragraph_id": 3,
"tag": "p",
"text": "èšèªã§ã¯éãä»®åã¯çä»®åã§æžãããæžãäžãæã«ãããšãã¯å¹³ä»®åã«ãããæŒ¢æäžã®èªç«èªã¯æŒ¢åã§æžããä»å±èª(å©åè©ã»å©è©)ã¯å¹³ä»®åã§æžãããŸããåèªæåã¯æåã¯æŒ¢åã§ãäºåºŠç®ã¯å¹³ä»®åã§æžãã",
"title": "åºæ¬äºé
"
},
{
"paragraph_id": 4,
"tag": "p",
"text": "çŸä»£ã®æ¥æ¬ã®åŠæ ¡ã®æŒ¢ææè²ã§äœ¿ãããŠããæŒ¢æã®èŠåã¯ãæ±æžæä»£ã®èšèªæ³ãå
ã«ããŠææ²»æä»£ã«æŽçããããã®ã§ãã(ãã®ãããã®äºæ
ãæŽå²ã«èå³ãããã°ãç²Ÿè¬ æŒ¢æã(åéçŽåœ¬èã»ã¡ããŸåŠèžæåº«)ãªã©ãèªãã§ããã)ã",
"title": "åºæ¬äºé
"
},
{
"paragraph_id": 5,
"tag": "p",
"text": "ãã®ããããã£ãŠããåŠæ ¡ã®æŒ¢æã§ã¯ã挢æã®çºé³ã§ã¯ååãšããŠæŽå²çä»®åé£ãã䜿ããææ³ãå€å
žææ³ãçšããã",
"title": "åºæ¬äºé
"
},
{
"paragraph_id": 6,
"tag": "p",
"text": "ãã ããããã€ã倿ã§ã¯çšããªããæŒ¢æç¬ç¹ã®è¡šçŸ(ãããããæŒ¢æèšèªäœããªãããæŒ¢æå£èª¿ã)ãããã®ã§æ³šæãããã以äžãç®æ¡æžãã§ç€ºããããããã®æŽ»çšã«é¢ããŠã¯å€èªæŽ»çšè¡šãåç
§ã®ããšããŸãã奿³ã«é¢ãããã®ãããã§ã¯çç¥ããã",
"title": "åºæ¬äºé
"
},
{
"paragraph_id": 7,
"tag": "p",
"text": "äžã¬å
¥äºè穎äžãäžã¬åŸäºèåäžãâè穎ã«å
¥ãããã°ãèå
ãåŸãã",
"title": "åºæ¬äºé
"
},
{
"paragraph_id": 8,
"tag": "p",
"text": "å¹å€«äžã¬å¯ã¬å¥ªã¬å¿ä¹ãâå¹å€«ãå¿ã奪ãµã¹ãããããªãã",
"title": "åºæ¬äºé
"
},
{
"paragraph_id": 9,
"tag": "p",
"text": "äžåŠæ ¡ã§ã¯ã¬ç¹ãšäžã»äºç¹ãåŠãã ããŸãããããã埩ç¿ããããããŠãæ°ããç»å Žããäžã»äžã»äžç¹ãšãã€ãã³ãããã§è§£èª¬ããã",
"title": "è¿ãç¹"
},
{
"paragraph_id": 10,
"tag": "p",
"text": "ãªãããã£ãã«åºãªãããäžäžç¹ãã€ããå¥ãäžã«ã¯ããã§äžã«è¿ã£ãŠèªãç²ã»ä¹ç¹ãããã«è¿ãç¹ãå¿
èŠãªãšãã«äœ¿ã倩ã»å°ã»äººç¹ãšããã®ããããç²ã»ä¹ç¹ã®æ··ãã£ãæã¯2002幎床倧åŠå
¥è©Šã»ã³ã¿ãŒè©Šéšã®æ¬è©Šéšã§ãåºé¡ãããããšãããã®ã§æ°ãã€ãããã",
"title": "è¿ãç¹"
},
{
"paragraph_id": 11,
"tag": "p",
"text": "åŸè¿°ããæåãšãé¢é£ããããšã ããè¿ãç¹ãæã€å Žæã¯ã«ãŒã«ãããããšãç¥ã£ãŠãããã",
"title": "è¿ãç¹"
},
{
"paragraph_id": 12,
"tag": "p",
"text": "çŸä»£ã®è¿ãç¹ãããããŸã§æ¥æ¬äººãèªã¿ãããããããã«ãææ²»ç¶æ°ã®ä»¥éã®åœèª(æ¥æ¬èª)æè²ã§å¶åºŠåããããã®ã§ãããã ãããè¿ãç¹ã®äœçœ®ãæèšããå¿
èŠã¯ç¡ããæŒ¢æã®æžãäžãæã®ææã®ã»ããèŠããã¹ãã§ããã",
"title": "è¿ãç¹"
},
{
"paragraph_id": 13,
"tag": "p",
"text": "ãŸããã~ãªããã~ããã°ãã~ããã°ããªã©ã®æžãäžãæã®éãä»®åããå®æè©Šéšå¯Ÿçã§ãªããã°çްããªèšãåãã®æèšã¯äžèŠã§ããã",
"title": "è¿ãç¹"
},
{
"paragraph_id": 14,
"tag": "p",
"text": "äžã®åããããäžã®åã«åž°ããšãã«çšããããããã£ãŠãäžã®æã¯ãå±±ã«ç»ãããšèªãã",
"title": "è¿ãç¹"
},
{
"paragraph_id": 15,
"tag": "p",
"text": "ç»ã¬å±±",
"title": "è¿ãç¹"
},
{
"paragraph_id": 16,
"tag": "p",
"text": "äºå以äžãžã ãŠãŠäžã«è¿ã£ãŠèªããšãã«äœ¿ããäºç¹ãäžç¹ãé£ã°ããäžç¹ã®ä»ããŠããæŒ¢åãèªãã åŸã«ãäºç¹ãäžç¹ã®é ã«èªããäžã®æã¯ãå銬ç¡ãããšèªãã",
"title": "è¿ãç¹"
},
{
"paragraph_id": 17,
"tag": "p",
"text": "ç¡äºå銬äž",
"title": "è¿ãç¹"
},
{
"paragraph_id": 18,
"tag": "p",
"text": "äžç¹ãç»å Žããå Žåã¯æ¬¡ã®éãã§ããã",
"title": "è¿ãç¹"
},
{
"paragraph_id": 19,
"tag": "p",
"text": "士äžã¬å¯äžä»¥äžäºåŒæ¯
äžã",
"title": "è¿ãç¹"
},
{
"paragraph_id": 20,
"tag": "p",
"text": "ãã®æã¯ã士ã¯ä»¥ãŠåŒæ¯
ãªãããã¹ããã(èš³ã»éãå¿ãè
ã¯å¿ãåºãæå¿ã匷ããªããŠã¯ãªããªã)ããšèªãã",
"title": "è¿ãç¹"
},
{
"paragraph_id": 21,
"tag": "p",
"text": "äžã»äºç¹ãã€ããå¥ãäžã«ã¯ããã§äžã«è¿ã£ãŠèªããšãã«äœ¿ããäžç¹ã»äžç¹ãé£ã°ããŠãäžç¹ãèªãã åŸã«ãäžç¹ã»äžç¹ã®é ã«èªããäžç¹ããªãå Žåãäžç¹ãèªãã§ããäžç¹ã«åž°ãã",
"title": "è¿ãç¹"
},
{
"paragraph_id": 22,
"tag": "p",
"text": "äžäžçºäºå
å«äžè²·äžçŸç°äžã",
"title": "è¿ãç¹"
},
{
"paragraph_id": 23,
"tag": "p",
"text": "ããã¯ãå
å«ã®çºã«çŸç°ãè²·ã¯ã(èš³ã»åå«ã®çºã«ããç°ããŒãè²·ããªã)ããšèªãã",
"title": "è¿ãç¹"
},
{
"paragraph_id": 24,
"tag": "p",
"text": "äžã»äžç¹ãä»ããå¥ãäžã«ã¯ããã§äžã«è¿ã£ãŠèªããšãã«äœ¿ãããŸãã¯ãäŸæã®ããã«äžã»äžç¹ã§ã¯è¿ãç¹ãè¶³ããªããšãã«ã䜿ããããç²ç¹ã»ä¹ç¹ã»äžç¹ã»äžç¹ã®é ã«èªãã",
"title": "è¿ãç¹"
},
{
"paragraph_id": 25,
"tag": "p",
"text": "èŠ³ã¬æ€ç¥äžä»å
žäžäºå
šèª£äžå°èª¬çšå®äºŠäžäžå
šåºä¹èæ§ç²ã",
"title": "è¿ãç¹"
},
{
"paragraph_id": 26,
"tag": "p",
"text": "ãã®æã¯ãæ€ã芳ãã°ä»å
žã®å
šãã¯èª£ã²ãããŠãå°èª¬çšå®ã亊ãå
šãã¯èæ§ããåºã§ãããç¥ã(èš³ã»ãã®è©±ãããä»å
žã®å
šãŠãã§ããããšããããšã¯ãªããåãäžé話ã®ãããªã¡ãã£ãšãã話ãäœã®äœã圹人(ãéãããããªè©±)ã®å
šãŠãèæ§ãšããŠçãŸããããã§ã¯ãªãããšããããã)ããšæžãäžãã",
"title": "è¿ãç¹"
},
{
"paragraph_id": 27,
"tag": "p",
"text": "ç²ã»ä¹ç¹ãä»ããå¥ãäžã«ã¯ããã§äžã«è¿ã£ãŠèªããšãã«äœ¿ãã倩ç¹ã»å°ç¹ã»äººç¹ã®é ã«èªãã",
"title": "è¿ãç¹"
},
{
"paragraph_id": 28,
"tag": "p",
"text": "ãã€ãã³ã¯å³å¯ã«ã¯è¿ãç¹ã§ã¯ãªãããè¿ãç¹ãšã»ããã§äœ¿ãããã®ã§ããã§ãŸãšããŠè§£èª¬ãããã¬ç¹ä»¥å€ã®è¿ãç¹ã«ã€ããŠçèªã®ããã«æ±ãã",
"title": "è¿ãç¹"
},
{
"paragraph_id": 29,
"tag": "p",
"text": "æ¯çŸç£æ-以äºèµ°äžä¹",
"title": "è¿ãç¹"
},
{
"paragraph_id": 30,
"tag": "p",
"text": "ãæ¯ãçŸç£ã®èµ°ãæä»¥ãªã(èš³ã»ãããå€ãã®ã±ã¢ããéããçç±ã§ãã)ããšèªãã",
"title": "è¿ãç¹"
},
{
"paragraph_id": 31,
"tag": "p",
"text": "å€ãã®åèæžã«ãæ²èŒãããŠãããããããã§ããšãããããæŒ¢æã®æåãæèšããå¿
èŠã¯ç¡ãããããŸã§æŒ¢æã®æ§é ãã€ããæãããçšåºŠã®ãã®ãšããŠããããã",
"title": "åºæ¬æå"
},
{
"paragraph_id": 32,
"tag": "p",
"text": "ãã£ãšãåºæ¬ãšãªãæããã ããäžéšã®æåãè¿°èªã«ãªãå Žåã¯è¿°èª â äž»èªã®èªé ã«ãªãã",
"title": "åºæ¬æå"
},
{
"paragraph_id": 33,
"tag": "p",
"text": "éšéã",
"title": "åºæ¬æå"
},
{
"paragraph_id": 34,
"tag": "p",
"text": "æ¥å»ã倿¥ã",
"title": "åºæ¬æå"
},
{
"paragraph_id": 35,
"tag": "p",
"text": "æ¹æä¹±äžä¹å¥žéã",
"title": "åºæ¬æå"
},
{
"paragraph_id": 36,
"tag": "p",
"text": "å³ãããéšéãããæ¥å»ãã倿¥ããããæ¹æ(人å)ã¯ä¹±äžã®å¥žéãªãããšããã",
"title": "åºæ¬æå"
},
{
"paragraph_id": 37,
"tag": "p",
"text": "圌é£ã¬è",
"title": "åºæ¬æå"
},
{
"paragraph_id": 38,
"tag": "p",
"text": "ããã¯ã圌ã¯èãé£ãµ(é£ã)ããšæžãã",
"title": "åºæ¬æå"
},
{
"paragraph_id": 39,
"tag": "p",
"text": "åºæ¬æã«ç®çèª(~ã)ãã€ãããã®ãç®çèªã¯äœèšãšããã«é ãããã®ã®ã¿ã§ãå Žæã¯è¿°èªã®åŸãååã ããçå代åè©ãç®çèªã«ãªãå Žåã¯èªé ãéã«ãªãã",
"title": "åºæ¬æå"
},
{
"paragraph_id": 40,
"tag": "p",
"text": "åºæ¬æã«è£èª(~ã«ã»ãšã»ãã)ãã€ãããã®ãè£èªã«ãªããã®ã¯äœèšãšããã«æºãããã®ã®ã¿ã§ããã",
"title": "åºæ¬æå"
},
{
"paragraph_id": 41,
"tag": "p",
"text": "æç»ã¬å±±ã",
"title": "åºæ¬æå"
},
{
"paragraph_id": 42,
"tag": "p",
"text": "圌çºäºå°è»äžã",
"title": "åºæ¬æå"
},
{
"paragraph_id": 43,
"tag": "p",
"text": "ç¥è²ŽäºæŒæŠäžã",
"title": "åºæ¬æå"
},
{
"paragraph_id": 44,
"tag": "p",
"text": "å³ãããæå±±ã«ç»ããã圌ã¯å°è»ãšçºãããç¥ã¯æŠãã貎ãããšæžãã",
"title": "åºæ¬æå"
},
{
"paragraph_id": 45,
"tag": "p",
"text": "ã~ã«ã»ãããã§è¿èªããå Žåã¯å眮è©(眮ãå)ã®ãæŒã»äºã»ä¹ãã®ã©ããã眮ãããã ããçç¥ããããšãããã",
"title": "åºæ¬æå"
},
{
"paragraph_id": 46,
"tag": "p",
"text": "æèгäºè±æŒäžéäžã",
"title": "åºæ¬æå"
},
{
"paragraph_id": 47,
"tag": "p",
"text": "人è¬äºåœŒå¥æäžã",
"title": "åºæ¬æå"
},
{
"paragraph_id": 48,
"tag": "p",
"text": "æ²å
¬æäºæšå²è»éäžã",
"title": "åºæ¬æå"
},
{
"paragraph_id": 49,
"tag": "p",
"text": "å³ãããæè±ãäžéã«èгããã人圌ã奿ãšè¬ãµããæ²å
¬(人ç©)æšå²(人å)ãè»éããæãããšæžãã",
"title": "åºæ¬æå"
},
{
"paragraph_id": 50,
"tag": "p",
"text": "ãã®å Žåã¯å眮è©(眮ãå)ã®ãæŒã»äºã»ä¹ãã¯ãªãã",
"title": "åºæ¬æå"
},
{
"paragraph_id": 51,
"tag": "p",
"text": "é
çè³äºæšå²é
äžã",
"title": "åºæ¬æå"
},
{
"paragraph_id": 52,
"tag": "p",
"text": "ããã¯ãé
ç(人ç©)æšå²ã«é
ãè³ãµããšæžãäžãã",
"title": "åºæ¬æå"
}
] |
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[[Category:é«çåŠæ ¡æè² åœèª 挢æ|ãã¿ãã]]
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[[category:åå°åå®¶æ³|38]]
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2010-10-24T13:07:50Z
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ç§Šæä»£)ãæåã§æžããããã®ãã¹ãŠããæåŠããšããã ãããããäžåœã®å忿代ã«ç»å ŽããæåŠè©è«ã«ãããŠã黿ã§ãããæããšæ£æã§ãããçãã«åºå¥ãããŠããé»æãšæ£æãšã®åºå¥ã¯æç¢ºã«ãªã£ãŠããããããŸã§ã¯çŸä»£ã§ããæ£æè©©ãšããããèŸè³Šã察å¥ãå€çšãããªãºã ãéèŠããé§¢æ(駢巿)ã®ããã«æ£æãšé»æã®èåãšããã¹ããã®ãå°ãªããªãã£ãã",
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2016-04-08T14:24:55Z
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"ãã³ãã¬ãŒã:鲿",
"ãã³ãã¬ãŒã:Ruby"
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15,038 |
ããžãã³/jbovlaste
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jbovlaste ã«èªåã®åèªãæçš¿ã§ããŸãã æé ã¯ä»¥äžã®ãšããã
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jbovlaste ã«èªåã®åèªãæçš¿ã§ããŸãããæé ã¯ä»¥äžã®ãšããã ãµã€ãã®ã¢ã«ãŠã³ããååŸããŸããã
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ãå©çãåŸããã§ããã",
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ãäžãããé£å®¢ãã¡ã¯çžè«ããŠèšã£ãããæ°äººã§ããã飲ãã°è¶³ããªãããäžäººã§é£²ãã°ããŸãã»ã©ãããå°é¢ã«èãæããŠãäžçªå
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"title": "å¡ç¿ã銬"
},
{
"paragraph_id": 12,
"tag": "p",
"text": "ããã«åºãè人ã¯ç®å
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"title": "å¡ç¿ã銬"
},
{
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"tag": "p",
"text": "ãªããããããçãŸããæ
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"title": "å¡ç¿ã銬"
}
] | null |
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äºæèªãå¡ç¿ã銬ãã¯ã人éäžäºå¡ç¿ã銬ããšããããšãããã人çã§ã¯ã©ã®ãããªããšã§å¹žçŠãšäžå¹žãå
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[[Category:é«çåŠæ ¡æè² åœèª 挢æ|ããããã]]
[[Category:æ¥æ¬ã®åœèªç§æè²|ããããã]]
[[Category:æ¥æ¬èª|ããããã]]
| null |
2019-06-27T13:43:46Z
|
[
"ãã³ãã¬ãŒã:Ruby"
] |
https://ja.wikibooks.org/wiki/%E9%AB%98%E7%AD%89%E5%AD%A6%E6%A0%A1%E5%8F%A4%E6%96%87/%E6%95%A3%E6%96%87%E3%83%BB%E8%AA%AC%E8%A9%B1/%E6%95%85%E4%BA%8B%E6%88%90%E8%AA%9E
|
15,066 |
Lojban For Beginners æ¥æ¬èªèš³/9ã®ãŸãšã
|
ãã®ç« ã§ã¯ä»¥äžã®ããšãåŠã³ãŸããã
|
[
{
"paragraph_id": 0,
"tag": "p",
"text": "ãã®ç« ã§ã¯ä»¥äžã®ããšãåŠã³ãŸããã",
"title": ""
}
] |
ãã®ç« ã§ã¯ä»¥äžã®ããšãåŠã³ãŸããã be,bei,be'o ã䜿ã£ãŠ sumtiã«ãã説æãããããšã
pe,fi'e ã䜿ã£ãŠ sumti tcita ã§ sumti ã«ãã説æãããããšã
poi,ku'o,ke'a ã䜿ã£ãŠå¶éçãªä¿®é£Ÿãããããšã
noi,ne ã䜿ã£ãŠéå¶éçãªä¿®é£Ÿãããããšã
|
ãã®ç« ã§ã¯ä»¥äžã®ããšãåŠã³ãŸããã
*be,bei,be'o ã䜿ã£ãŠ sumtiã«ãã説æãããããšã
*pe,fi'e ã䜿ã£ãŠ sumti tcita ã§ sumti ã«ãã説æãããããšã
*poi,ku'o,ke'a ã䜿ã£ãŠå¶éçãªä¿®é£Ÿãããããšã
*noi,ne ã䜿ã£ãŠéå¶éçãªä¿®é£Ÿãããããšã
[[Category:ããžãã³|9ã®ãŸãšã]]
| null |
2015-08-07T12:14:35Z
|
[] |
https://ja.wikibooks.org/wiki/Lojban_For_Beginners_%E6%97%A5%E6%9C%AC%E8%AA%9E%E8%A8%B3/9%E3%81%AE%E3%81%BE%E3%81%A8%E3%82%81
|
15,069 |
æ°äºå·è¡æ³ç¬¬85æ¡
|
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(é
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|
[
{
"paragraph_id": 0,
"tag": "p",
"text": "æ³åŠ>ã³ã³ã¡ã³ã¿ãŒã«æ°äºèšŽèšæ³>ã³ã³ã¡ã³ã¿ãŒã«æ°äºå·è¡æ³",
"title": ""
},
{
"paragraph_id": 1,
"tag": "p",
"text": "(é
åœè¡šã®äœæ)",
"title": "æ¡æ"
},
{
"paragraph_id": 2,
"tag": "p",
"text": "",
"title": "å€äŸ"
}
] |
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|
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ãé€ããïŒã«å¯ŸããåŒåºç¶ã®ééã«ã€ããŠæºçšããã
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{{ååŸ
|[[ã³ã³ã¡ã³ã¿ãŒã«æ°äºå·è¡æ³|æ°äºå·è¡æ³]]
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|[[æ°äºå·è¡æ³ç¬¬84æ¡]]<br>ïŒå£²åŽä»£éã®é
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|[[æ°äºå·è¡æ³ç¬¬86æ¡]]<br>ïŒå£²åŽä»£éïŒ
}}
{{stub}}
[[category:æ°äºå·è¡æ³|85]]
| null |
2010-11-09T03:42:53Z
|
[
"ãã³ãã¬ãŒã:ååŸ",
"ãã³ãã¬ãŒã:Stub"
] |
https://ja.wikibooks.org/wiki/%E6%B0%91%E4%BA%8B%E5%9F%B7%E8%A1%8C%E6%B3%95%E7%AC%AC85%E6%9D%A1
|
15,070 |
忥ç»èšæ³ç¬¬6æ¡
|
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(忥ç»èšç°¿)
|
[
{
"paragraph_id": 0,
"tag": "p",
"text": "æ³åŠ>æ°äºæ³>忥ç»èšæ³>ã³ã³ã¡ã³ã¿ãŒã«åæ¥ç»èšæ³",
"title": ""
},
{
"paragraph_id": 1,
"tag": "p",
"text": "(忥ç»èšç°¿)",
"title": "æ¡æ"
}
] |
æ³åŠïŒæ°äºæ³ïŒåæ¥ç»èšæ³ïŒã³ã³ã¡ã³ã¿ãŒã«åæ¥ç»èšæ³
|
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|[[ã³ã³ã¡ã³ã¿ãŒã«åæ¥ç»èšæ³|忥ç»èšæ³]]
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}}
{{stub}}
[[category:忥ç»èšæ³|06]]
| null |
2010-11-11T20:29:53Z
|
[
"ãã³ãã¬ãŒã:Stub",
"ãã³ãã¬ãŒã:ååŸ"
] |
https://ja.wikibooks.org/wiki/%E5%95%86%E6%A5%AD%E7%99%BB%E8%A8%98%E6%B3%95%E7%AC%AC6%E6%9D%A1
|
15,071 |
忥ç»èšæ³ç¬¬20æ¡
|
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(å°éã®æåº)
|
[
{
"paragraph_id": 0,
"tag": "p",
"text": "æ³åŠ>æ°äºæ³>忥ç»èšæ³>ã³ã³ã¡ã³ã¿ãŒã«åæ¥ç»èšæ³",
"title": ""
},
{
"paragraph_id": 1,
"tag": "p",
"text": "(å°éã®æåº)",
"title": "æ¡æ"
}
] |
æ³åŠïŒæ°äºæ³ïŒåæ¥ç»èšæ³ïŒã³ã³ã¡ã³ã¿ãŒã«åæ¥ç»èšæ³
|
[[æ³åŠ]]ïŒ[[æ°äºæ³]]ïŒ[[忥ç»èšæ³]]ïŒ[[ã³ã³ã¡ã³ã¿ãŒã«åæ¥ç»èšæ³]]
==æ¡æ==
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ã®èŠå®ã¯ãäŒç€Ÿã®æ¯åºã®æåšå°ã«ãããŠããç»èšã®ç³è«ã«ã€ããŠã¯ãé©çšããªãã
==解説==
==åç
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----
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|[[忥ç»èšæ³ç¬¬21æ¡]]<br>ïŒåä»ïŒ
}}
{{stub}}
[[category:忥ç»èšæ³|020]]
| null |
2011-02-18T08:59:02Z
|
[
"ãã³ãã¬ãŒã:ååŸ",
"ãã³ãã¬ãŒã:Stub"
] |
https://ja.wikibooks.org/wiki/%E5%95%86%E6%A5%AD%E7%99%BB%E8%A8%98%E6%B3%95%E7%AC%AC20%E6%9D%A1
|
15,073 |
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|
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(ç»èšå®)
|
[
{
"paragraph_id": 0,
"tag": "p",
"text": "æ³åŠ>æ°äºæ³>忥ç»èšæ³>ã³ã³ã¡ã³ã¿ãŒã«åæ¥ç»èšæ³",
"title": ""
},
{
"paragraph_id": 1,
"tag": "p",
"text": "(ç»èšå®)",
"title": "æ¡æ"
}
] |
æ³åŠïŒæ°äºæ³ïŒåæ¥ç»èšæ³ïŒã³ã³ã¡ã³ã¿ãŒã«åæ¥ç»èšæ³
|
[[æ³åŠ]]ïŒ[[æ°äºæ³]]ïŒ[[忥ç»èšæ³]]ïŒ[[ã³ã³ã¡ã³ã¿ãŒã«åæ¥ç»èšæ³]]
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|[[忥ç»èšæ³ç¬¬3æ¡]]<br>ïŒäºåã®åæ¢ïŒ
|[[忥ç»èšæ³ç¬¬5æ¡]]<br>ïŒç»èšå®ã®é€æ¥ïŒ
}}
{{stub}}
[[category:忥ç»èšæ³|004]]
| null |
2010-11-11T21:29:16Z
|
[
"ãã³ãã¬ãŒã:ååŸ",
"ãã³ãã¬ãŒã:Stub"
] |
https://ja.wikibooks.org/wiki/%E5%95%86%E6%A5%AD%E7%99%BB%E8%A8%98%E6%B3%95%E7%AC%AC4%E6%9D%A1
|
15,074 |
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|
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(ç»èšç³è«ã®æ¹åŒ)
|
[
{
"paragraph_id": 0,
"tag": "p",
"text": "æ³åŠ>æ°äºæ³>忥ç»èšæ³>ã³ã³ã¡ã³ã¿ãŒã«åæ¥ç»èšæ³",
"title": ""
},
{
"paragraph_id": 1,
"tag": "p",
"text": "(ç»èšç³è«ã®æ¹åŒ)",
"title": "æ¡æ"
}
] |
æ³åŠïŒæ°äºæ³ïŒåæ¥ç»èšæ³ïŒã³ã³ã¡ã³ã¿ãŒã«åæ¥ç»èšæ³
|
[[æ³åŠ]]ïŒ[[æ°äºæ³]]ïŒ[[忥ç»èšæ³]]ïŒ[[ã³ã³ã¡ã³ã¿ãŒã«åæ¥ç»èšæ³]]
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# ç»èšã®ç³è«ã¯ãæžé¢ã§ããªããã°ãªããªãã
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# 第2é
第åå·ã«æ²ããäºé
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==åç
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{{ååŸ
|[[ã³ã³ã¡ã³ã¿ãŒã«åæ¥ç»èšæ³|忥ç»èšæ³]]
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}}
{{stub}}
[[category:忥ç»èšæ³|017]]
| null |
2010-11-11T21:50:40Z
|
[
"ãã³ãã¬ãŒã:ååŸ",
"ãã³ãã¬ãŒã:Stub"
] |
https://ja.wikibooks.org/wiki/%E5%95%86%E6%A5%AD%E7%99%BB%E8%A8%98%E6%B3%95%E7%AC%AC17%E6%9D%A1
|
15,075 |
忥ç»èšæ³ç¬¬24æ¡
|
æ³åŠ>æ°äºæ³>忥ç»èšæ³>ã³ã³ã¡ã³ã¿ãŒã«åæ¥ç»èšæ³
(ç³è«ã®åŽäž)
|
[
{
"paragraph_id": 0,
"tag": "p",
"text": "æ³åŠ>æ°äºæ³>忥ç»èšæ³>ã³ã³ã¡ã³ã¿ãŒã«åæ¥ç»èšæ³",
"title": ""
},
{
"paragraph_id": 1,
"tag": "p",
"text": "(ç³è«ã®åŽäž)",
"title": "æ¡æ"
}
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æ³åŠïŒæ°äºæ³ïŒåæ¥ç»èšæ³ïŒã³ã³ã¡ã³ã¿ãŒã«åæ¥ç»èšæ³
|
[[æ³åŠ]]ïŒ[[æ°äºæ³]]ïŒ[[忥ç»èšæ³]]ïŒ[[ã³ã³ã¡ã³ã¿ãŒã«åæ¥ç»èšæ³]]
==æ¡æ==
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: ç»èšå®ã¯ã次ã®åå·ã®ããããã«æ²ããäºç±ãããå Žåã«ã¯ãçç±ãä»ããæ±ºå®ã§ãç»èšã®ç³è«ãåŽäžããªããã°ãªããªãããã ããåœè©²ç³è«ã®äžåãè£æ£ããããšãã§ãããã®ã§ããå Žåã«ãããŠãç»èšå®ãå®ããçžåœã®æéå
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::å ãç»èšãã¹ãäºé
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::åå
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==解説==
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==åç
§æ¡æ==
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*[[忥ç»èšæ³ç¬¬134æ¡]]ïŒæ¹æ¶ã®ç³è«ïŒ
==å€äŸ==
----
{{ååŸ
|[[ã³ã³ã¡ã³ã¿ãŒã«åæ¥ç»èšæ³|忥ç»èšæ³]]
|[[ã³ã³ã¡ã³ã¿ãŒã«åæ¥ç»èšæ³#3|第3ç« ç»èšæç¶]]<br>
[[ã³ã³ã¡ã³ã¿ãŒã«åæ¥ç»èšæ³#3-1|第1ç¯ éå]]
|[[忥ç»èšæ³ç¬¬23æ¡ã®2]]<br>ïŒç»èšå®ã«ããæ¬äººç¢ºèªïŒ
|[[忥ç»èšæ³ç¬¬25æ¡]]<br>ïŒæèšŽæéçµéåŸã®ç»èšïŒ
}}
{{stub}}
[[category:忥ç»èšæ³|024]]
| null |
2010-12-21T22:11:23Z
|
[
"ãã³ãã¬ãŒã:ååŸ",
"ãã³ãã¬ãŒã:Stub"
] |
https://ja.wikibooks.org/wiki/%E5%95%86%E6%A5%AD%E7%99%BB%E8%A8%98%E6%B3%95%E7%AC%AC24%E6%9D%A1
|
15,076 |
忥ç»èšæ³ç¬¬5æ¡
|
æ³åŠ>æ°äºæ³>忥ç»èšæ³>ã³ã³ã¡ã³ã¿ãŒã«åæ¥ç»èšæ³
(ç»èšå®ã®é€æ¥)
|
[
{
"paragraph_id": 0,
"tag": "p",
"text": "æ³åŠ>æ°äºæ³>忥ç»èšæ³>ã³ã³ã¡ã³ã¿ãŒã«åæ¥ç»èšæ³",
"title": ""
},
{
"paragraph_id": 1,
"tag": "p",
"text": "(ç»èšå®ã®é€æ¥)",
"title": "æ¡æ"
}
] |
æ³åŠïŒæ°äºæ³ïŒåæ¥ç»èšæ³ïŒã³ã³ã¡ã³ã¿ãŒã«åæ¥ç»èšæ³
|
[[æ³åŠ]]ïŒ[[æ°äºæ³]]ïŒ[[忥ç»èšæ³]]ïŒ[[ã³ã³ã¡ã³ã¿ãŒã«åæ¥ç»èšæ³]]
==æ¡æ==
ïŒç»èšå®ã®é€æ¥ïŒ
;第5æ¡
: ç»èšå®åã¯ãã®é
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ã®èŠªæãç³è«äººã代衚ããŠç³è«ãããšãããåæ§ãšããã
==解説==
==åç
§æ¡æ==
==å€äŸ==
----
{{ååŸ
|[[ã³ã³ã¡ã³ã¿ãŒã«åæ¥ç»èšæ³|忥ç»èšæ³]]
|[[ã³ã³ã¡ã³ã¿ãŒã«åæ¥ç»èšæ³#1ã®2|第1ç« ã®2 ç»èšæåã³ç»èšå®]]<br>
|[[忥ç»èšæ³ç¬¬4æ¡]]<br>ïŒç»èšå®ïŒ
|[[忥ç»èšæ³ç¬¬6æ¡]]<br>ïŒåæ¥ç»èšç°¿ïŒ
}}
{{stub}}
[[category:忥ç»èšæ³|005]]
| null |
2010-11-11T22:07:54Z
|
[
"ãã³ãã¬ãŒã:ååŸ",
"ãã³ãã¬ãŒã:Stub"
] |
https://ja.wikibooks.org/wiki/%E5%95%86%E6%A5%AD%E7%99%BB%E8%A8%98%E6%B3%95%E7%AC%AC5%E6%9D%A1
|
15,077 |
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|
æ³åŠ>æ°äºæ³>忥ç»èšæ³>ã³ã³ã¡ã³ã¿ãŒã«åæ¥ç»èšæ³
(è¡æ¿æ©é¢ã®ä¿æããæ
å ±ã®å
¬éã«é¢ããæ³åŸã®é©çšé€å€)
|
[
{
"paragraph_id": 0,
"tag": "p",
"text": "æ³åŠ>æ°äºæ³>忥ç»èšæ³>ã³ã³ã¡ã³ã¿ãŒã«åæ¥ç»èšæ³",
"title": ""
},
{
"paragraph_id": 1,
"tag": "p",
"text": "(è¡æ¿æ©é¢ã®ä¿æããæ
å ±ã®å
¬éã«é¢ããæ³åŸã®é©çšé€å€)",
"title": "æ¡æ"
}
] |
æ³åŠïŒæ°äºæ³ïŒåæ¥ç»èšæ³ïŒã³ã³ã¡ã³ã¿ãŒã«åæ¥ç»èšæ³
|
[[æ³åŠ]]ïŒ[[æ°äºæ³]]ïŒ[[忥ç»èšæ³]]ïŒ[[ã³ã³ã¡ã³ã¿ãŒã«åæ¥ç»èšæ³]]
==æ¡æ==
ïŒè¡æ¿æ©é¢ã®ä¿æããæ
å ±ã®å
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;第140æ¡
: ç»èšç°¿åã³ãã®é屿žé¡ã«ã€ããŠã¯ã[[w:è¡æ¿æ©é¢ã®ä¿æããæ
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¬éã«é¢ããæ³åŸ]]ïŒå¹³æ11幎æ³åŸç¬¬42å·ïŒã®èŠå®ã¯ãé©çšããªãã
==解説==
==åç
§æ¡æ==
==å€äŸ==
----
{{ååŸ
|[[ã³ã³ã¡ã³ã¿ãŒã«åæ¥ç»èšæ³|忥ç»èšæ³]]
|[[ã³ã³ã¡ã³ã¿ãŒã«åæ¥ç»èšæ³#4|第4ç« éå]]<br>
|[[忥ç»èšæ³ç¬¬139æ¡]]<br>ïŒè¡æ¿æç¶æ³ã®é©çšé€å€ïŒ
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å ±ã®ä¿è·ã«é¢ããæ³åŸã®é©çšé€å€ïŒ
}}
{{stub}}
[[category:忥ç»èšæ³|140]]
| null |
2010-11-11T22:21:34Z
|
[
"ãã³ãã¬ãŒã:Stub",
"ãã³ãã¬ãŒã:ååŸ"
] |
https://ja.wikibooks.org/wiki/%E5%95%86%E6%A5%AD%E7%99%BB%E8%A8%98%E6%B3%95%E7%AC%AC140%E6%9D%A1
|
15,078 |
忥ç»èšæ³ç¬¬141æ¡
|
æ³åŠ>æ°äºæ³>忥ç»èšæ³>ã³ã³ã¡ã³ã¿ãŒã«åæ¥ç»èšæ³
(è¡æ¿æ©é¢ã®ä¿æããå人æ
å ±ã®ä¿è·ã«é¢ããæ³åŸã®é©çšé€å€)
|
[
{
"paragraph_id": 0,
"tag": "p",
"text": "æ³åŠ>æ°äºæ³>忥ç»èšæ³>ã³ã³ã¡ã³ã¿ãŒã«åæ¥ç»èšæ³",
"title": ""
},
{
"paragraph_id": 1,
"tag": "p",
"text": "(è¡æ¿æ©é¢ã®ä¿æããå人æ
å ±ã®ä¿è·ã«é¢ããæ³åŸã®é©çšé€å€)",
"title": "æ¡æ"
}
] |
æ³åŠïŒæ°äºæ³ïŒåæ¥ç»èšæ³ïŒã³ã³ã¡ã³ã¿ãŒã«åæ¥ç»èšæ³
|
[[æ³åŠ]]ïŒ[[æ°äºæ³]]ïŒ[[忥ç»èšæ³]]ïŒ[[ã³ã³ã¡ã³ã¿ãŒã«åæ¥ç»èšæ³]]
==æ¡æ==
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å ±ã®ä¿è·ã«é¢ããæ³åŸã®é©çšé€å€ïŒ
;第141æ¡
: ç»èšç°¿åã³ãã®é屿žé¡ã«èšé²ãããŠããä¿æå人æ
å ±ïŒ[[w:è¡æ¿æ©é¢ã®ä¿æããå人æ
å ±ã®ä¿è·ã«é¢ããæ³åŸ]]ïŒå¹³æ15幎æ³åŸç¬¬58å·ïŒç¬¬2æ¡ç¬¬3é
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å ±ããããïŒã«ã€ããŠã¯ãåæ³ç¬¬åç« ã®èŠå®ã¯ãé©çšããªãã
==解説==
==åç
§æ¡æ==
==å€äŸ==
----
{{ååŸ
|[[ã³ã³ã¡ã³ã¿ãŒã«åæ¥ç»èšæ³|忥ç»èšæ³]]
|[[ã³ã³ã¡ã³ã¿ãŒã«åæ¥ç»èšæ³#4|第4ç« éå]]<br>
|[[忥ç»èšæ³ç¬¬140æ¡]]<br>ïŒè¡æ¿æ©é¢ã®ä¿æããæ
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|[[忥ç»èšæ³ç¬¬142æ¡]]<br>ïŒå¯©æ»è«æ±ïŒ
}}
{{stub}}
[[category:忥ç»èšæ³|141]]
| null |
2010-11-11T22:25:40Z
|
[
"ãã³ãã¬ãŒã:Stub",
"ãã³ãã¬ãŒã:ååŸ"
] |
https://ja.wikibooks.org/wiki/%E5%95%86%E6%A5%AD%E7%99%BB%E8%A8%98%E6%B3%95%E7%AC%AC141%E6%9D%A1
|
15,079 |
忥ç»èšæ³ç¬¬34æ¡
|
æ³åŠ>æ°äºæ³>忥ç»èšæ³>ã³ã³ã¡ã³ã¿ãŒã«åæ¥ç»èšæ³
(äŒç€Ÿã®åå·ã®ç»èš)
|
[
{
"paragraph_id": 0,
"tag": "p",
"text": "æ³åŠ>æ°äºæ³>忥ç»èšæ³>ã³ã³ã¡ã³ã¿ãŒã«åæ¥ç»èšæ³",
"title": ""
},
{
"paragraph_id": 1,
"tag": "p",
"text": "(äŒç€Ÿã®åå·ã®ç»èš)",
"title": "æ¡æ"
}
] |
æ³åŠïŒæ°äºæ³ïŒåæ¥ç»èšæ³ïŒã³ã³ã¡ã³ã¿ãŒã«åæ¥ç»èšæ³
|
[[æ³åŠ]]ïŒ[[æ°äºæ³]]ïŒ[[忥ç»èšæ³]]ïŒ[[ã³ã³ã¡ã³ã¿ãŒã«åæ¥ç»èšæ³]]
==æ¡æ==
ïŒäŒç€Ÿã®åå·ã®ç»èšïŒ
;第34æ¡
# äŒç€Ÿã®åå·ã®ç»èšã¯ãäŒç€Ÿã®ç»èšç°¿ã«ããã
# [[忥ç»èšæ³ç¬¬28æ¡|第28æ¡]]ã[[忥ç»èšæ³ç¬¬29æ¡|第29æ¡]]䞊ã³ã«[[忥ç»èšæ³ç¬¬30æ¡|第30æ¡]]第1é
åã³ç¬¬2é
ã®èŠå®ã¯ãäŒç€Ÿã«ã€ããŠã¯ãé©çšããªãã
==解説==
==åç
§æ¡æ==
==å€äŸ==
----
{{ååŸ
|[[ã³ã³ã¡ã³ã¿ãŒã«åæ¥ç»èšæ³|忥ç»èšæ³]]
|[[ã³ã³ã¡ã³ã¿ãŒã«åæ¥ç»èšæ³#3|第3ç« ç»èšæç¶]]<br>
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|[[忥ç»èšæ³ç¬¬33æ¡]]<br>ïŒåå·ã®ç»èšã®æ¹æ¶ïŒ
|[[忥ç»èšæ³ç¬¬35æ¡]]<br>ïŒæªæå¹Žè
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}}
{{stub}}
[[category:忥ç»èšæ³|034]]
| null |
2010-11-11T22:31:22Z
|
[
"ãã³ãã¬ãŒã:ååŸ",
"ãã³ãã¬ãŒã:Stub"
] |
https://ja.wikibooks.org/wiki/%E5%95%86%E6%A5%AD%E7%99%BB%E8%A8%98%E6%B3%95%E7%AC%AC34%E6%9D%A1
|
15,080 |
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|
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(äŒç€Ÿã®w:æ¯é
人ã®ç»èš)
第29æ¡(倿Žçã®ç»èš)
|
[
{
"paragraph_id": 0,
"tag": "p",
"text": "æ³åŠ>æ°äºæ³>忥ç»èšæ³>ã³ã³ã¡ã³ã¿ãŒã«åæ¥ç»èšæ³",
"title": ""
},
{
"paragraph_id": 1,
"tag": "p",
"text": "(äŒç€Ÿã®w:æ¯é
人ã®ç»èš)",
"title": "æ¡æ"
},
{
"paragraph_id": 2,
"tag": "p",
"text": "第29æ¡(倿Žçã®ç»èš)",
"title": "解説"
}
] |
æ³åŠïŒæ°äºæ³ïŒåæ¥ç»èšæ³ïŒã³ã³ã¡ã³ã¿ãŒã«åæ¥ç»èšæ³
|
[[æ³åŠ]]ïŒ[[æ°äºæ³]]ïŒ[[忥ç»èšæ³]]ïŒ[[ã³ã³ã¡ã³ã¿ãŒã«åæ¥ç»èšæ³]]
==æ¡æ==
ïŒäŒç€Ÿã®[[w:æ¯é
人]]ã®ç»èšïŒ
;第44æ¡
# äŒç€Ÿã®æ¯é
人ã®ç»èšã¯ãäŒç€Ÿã®ç»èšç°¿ã«ããã
# åé
ã®ç»èšã«ãããŠç»èšãã¹ãäºé
ã¯ã次ã®ãšãããšããã
#:äž æ¯é
äººã®æ°ååã³äœæ
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ã®èŠå®ã¯ã第1é
ã®ç»èšã«ã€ããŠæºçšããã
==解説==
第29æ¡ïŒå€æŽçã®ç»èšïŒ
==åç
§æ¡æ==
==å€äŸ==
----
{{ååŸ
|[[ã³ã³ã¡ã³ã¿ãŒã«åæ¥ç»èšæ³|忥ç»èšæ³]]
|[[ã³ã³ã¡ã³ã¿ãŒã«åæ¥ç»èšæ³#3|第3ç« ç»èšæç¶]]<br>
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|[[忥ç»èšæ³ç¬¬43æ¡]]<br>ïŒäŒç€Ÿä»¥å€ã®åäººã®æ¯é
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|[[忥ç»èšæ³ç¬¬45æ¡]]<br>ïŒäŒç€Ÿã®æ¯é
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}}
{{stub}}
[[category:忥ç»èšæ³|044]]
| null |
2011-04-28T21:07:35Z
|
[
"ãã³ãã¬ãŒã:ååŸ",
"ãã³ãã¬ãŒã:Stub"
] |
https://ja.wikibooks.org/wiki/%E5%95%86%E6%A5%AD%E7%99%BB%E8%A8%98%E6%B3%95%E7%AC%AC44%E6%9D%A1
|
15,081 |
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|
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(ç»èšç°¿çã®æåºçŠæ¢)
|
[
{
"paragraph_id": 0,
"tag": "p",
"text": "æ³åŠ>æ°äºæ³>忥ç»èšæ³>ã³ã³ã¡ã³ã¿ãŒã«åæ¥ç»èšæ³",
"title": ""
},
{
"paragraph_id": 1,
"tag": "p",
"text": "(ç»èšç°¿çã®æåºçŠæ¢)",
"title": "æ¡æ"
}
] |
æ³åŠïŒæ°äºæ³ïŒåæ¥ç»èšæ³ïŒã³ã³ã¡ã³ã¿ãŒã«åæ¥ç»èšæ³
|
[[æ³åŠ]]ïŒ[[æ°äºæ³]]ïŒ[[忥ç»èšæ³]]ïŒ[[ã³ã³ã¡ã³ã¿ãŒã«åæ¥ç»èšæ³]]
==æ¡æ==
ïŒç»èšç°¿çã®æåºçŠæ¢ïŒ
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: ç»èšç°¿åã³ãã®é屿žé¡ïŒ[[忥ç»èšæ³ç¬¬17æ¡|第17æ¡]]第4é
ã«èŠå®ããé»ç£çèšé²ïŒé»åçæ¹åŒãç£æ°çæ¹åŒãã®ä»äººã®ç¥èŠã«ãã€ãŠã¯èªèããããšãã§ããªãæ¹åŒã§äœãããèšé²ã§ãã€ãŠãé»åèšç®æ©ã«ããæ
å ±åŠçã®çšã«äŸããããã®ãããã以äžåããïŒåã³[[忥ç»èšæ³ç¬¬19æ¡ã®2|第19æ¡ã®2]]ã«èŠå®ããç»èšã®ç³è«æžã«æ·»ä»ãã¹ãé»ç£çèšé²ïŒä»¥äžã第19æ¡ã®2ã«èŠå®ããé»ç£çèšé²ããšãããïŒãå«ãã以äžãã®æ¡ã[[忥ç»èšæ³ç¬¬9æ¡|第9æ¡]]ã[[忥ç»èšæ³ç¬¬11æ¡ã®2|第11æ¡ã®2]]ã[[忥ç»èšæ³ç¬¬140æ¡|第140æ¡]]åã³[[忥ç»èšæ³ç¬¬141æ¡|第141æ¡]]ã«ãããŠåããïŒã¯ãäºå€ãé¿ããããã«ããå Žåãé€ããç»èšæå€ã«æã¡åºããŠã¯ãªããªãããã ããç»èšç°¿ã®é屿žé¡ã«ã€ããŠã¯ãè£å€æã®åœä»€åã¯å±èšããã€ããšãã¯ããã®éãã§ãªãã
==解説==
==åç
§æ¡æ==
==å€äŸ==
----
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|[[ã³ã³ã¡ã³ã¿ãŒã«åæ¥ç»èšæ³|忥ç»èšæ³]]
|[[ã³ã³ã¡ã³ã¿ãŒã«åæ¥ç»èšæ³#2|第2ç« ç»èšç°¿ç]]<br>
|[[忥ç»èšæ³ç¬¬6æ¡]]<br>ïŒåæ¥ç»èšç°¿ïŒ
|[[忥ç»èšæ³ç¬¬8æ¡]]<br>ïŒç»èšç°¿ã®æ»
倱ãšå埩ïŒ
}}
{{stub}}
[[category:忥ç»èšæ³|007]]
| null |
2010-11-11T22:43:05Z
|
[
"ãã³ãã¬ãŒã:Stub",
"ãã³ãã¬ãŒã:ååŸ"
] |
https://ja.wikibooks.org/wiki/%E5%95%86%E6%A5%AD%E7%99%BB%E8%A8%98%E6%B3%95%E7%AC%AC7%E6%9D%A1
|
15,082 |
忥ç»èšæ³ç¬¬19æ¡ã®2
|
æ³åŠ>æ°äºæ³>忥ç»èšæ³>ã³ã³ã¡ã³ã¿ãŒã«åæ¥ç»èšæ³
(ç³è«æžã«æ·»ä»ãã¹ãé»ç£çèšé²)
|
[
{
"paragraph_id": 0,
"tag": "p",
"text": "æ³åŠ>æ°äºæ³>忥ç»èšæ³>ã³ã³ã¡ã³ã¿ãŒã«åæ¥ç»èšæ³",
"title": ""
},
{
"paragraph_id": 1,
"tag": "p",
"text": "(ç³è«æžã«æ·»ä»ãã¹ãé»ç£çèšé²)",
"title": "æ¡æ"
}
] |
æ³åŠïŒæ°äºæ³ïŒåæ¥ç»èšæ³ïŒã³ã³ã¡ã³ã¿ãŒã«åæ¥ç»èšæ³
|
[[æ³åŠ]]ïŒ[[æ°äºæ³]]ïŒ[[忥ç»èšæ³]]ïŒ[[ã³ã³ã¡ã³ã¿ãŒã«åæ¥ç»èšæ³]]
==æ¡æ==
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: ç»èšã®ç³è«æžã«æ·»ä»ãã¹ã宿¬Ÿãè°äºé²è¥ããã¯æçµã®è²žå察ç
§è¡šãé»ç£çèšé²ã§äœãããŠãããšããåã¯ç»èšã®ç³è«æžã«æ·»ä»ãã¹ãæžé¢ã«ã€ããã®äœæã«ä»£ããŠé»ç£çèšé²ã®äœæããããŠãããšãã¯ãåœè©²é»ç£çèšé²ã«èšé²ãããæ
å ±ã®å
容ãèšé²ããé»ç£çèšé²ïŒæ³åç什ã§å®ãããã®ã«éããïŒãåœè©²ç³è«æžã«æ·»ä»ããªããã°ãªããªãã
==解説==
==åç
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*[[忥ç»èšæ³ç¬¬24æ¡]]ïŒç³è«ã®åŽäžïŒ
*[[忥ç»èšèŠå第33æ¡ã®6]]ïŒé»åèšŒææžã«ãã蚌æã®è«æ±ïŒ
*[[忥ç»èšèŠå第102æ¡]]ïŒç»èšç³è«ã®æ¹æ³ïŒ
==å€äŸ==
----
{{ååŸ
|[[ã³ã³ã¡ã³ã¿ãŒã«åæ¥ç»èšæ³|忥ç»èšæ³]]
|[[ã³ã³ã¡ã³ã¿ãŒã«åæ¥ç»èšæ³#3|第3ç« ç»èšæç¶]]<br>
[[ã³ã³ã¡ã³ã¿ãŒã«åæ¥ç»èšæ³#3-1|第1ç¯ é説]]
|[[忥ç»èšæ³ç¬¬19æ¡]]<br>ïŒç³è«æžã®æ·»ä»æžé¢ïŒ
|[[忥ç»èšæ³ç¬¬20æ¡]]<br>ïŒå°éã®æåºïŒ
}}
{{stub}}
[[category:忥ç»èšæ³|019ã®2]]
| null |
2011-04-07T08:54:33Z
|
[
"ãã³ãã¬ãŒã:ååŸ",
"ãã³ãã¬ãŒã:Stub"
] |
https://ja.wikibooks.org/wiki/%E5%95%86%E6%A5%AD%E7%99%BB%E8%A8%98%E6%B3%95%E7%AC%AC19%E6%9D%A1%E3%81%AE2
|
15,083 |
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|
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(ç»èšç°¿ã®æ»
倱ãšå埩)
|
[
{
"paragraph_id": 0,
"tag": "p",
"text": "æ³åŠ>æ°äºæ³>忥ç»èšæ³>ã³ã³ã¡ã³ã¿ãŒã«åæ¥ç»èšæ³",
"title": ""
},
{
"paragraph_id": 1,
"tag": "p",
"text": "(ç»èšç°¿ã®æ»
倱ãšå埩)",
"title": "æ¡æ"
}
] |
æ³åŠïŒæ°äºæ³ïŒåæ¥ç»èšæ³ïŒã³ã³ã¡ã³ã¿ãŒã«åæ¥ç»èšæ³
|
[[æ³åŠ]]ïŒ[[æ°äºæ³]]ïŒ[[忥ç»èšæ³]]ïŒ[[ã³ã³ã¡ã³ã¿ãŒã«åæ¥ç»èšæ³]]
==æ¡æ==
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èŠãªåŠåãåœããããšãã§ããã
==解説==
==åç
§æ¡æ==
==å€äŸ==
----
{{ååŸ
|[[ã³ã³ã¡ã³ã¿ãŒã«åæ¥ç»èšæ³|忥ç»èšæ³]]
|[[ã³ã³ã¡ã³ã¿ãŒã«åæ¥ç»èšæ³#2|第2ç« ç»èšç°¿ç]]<br>
|[[忥ç»èšæ³ç¬¬7æ¡]]<br>ïŒç»èšç°¿çã®æåºçŠæ¢ïŒ
|[[忥ç»èšæ³ç¬¬9æ¡]]<br>ïŒç»èšç°¿çã®æ»
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}}
{{stub}}
[[category:忥ç»èšæ³|008]]
| null |
2010-11-11T22:50:25Z
|
[
"ãã³ãã¬ãŒã:ååŸ",
"ãã³ãã¬ãŒã:Stub"
] |
https://ja.wikibooks.org/wiki/%E5%95%86%E6%A5%AD%E7%99%BB%E8%A8%98%E6%B3%95%E7%AC%AC8%E6%9D%A1
|
15,084 |
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|
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(ç»èšç°¿çã®æ»
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|
[
{
"paragraph_id": 0,
"tag": "p",
"text": "æ³åŠ>æ°äºæ³>忥ç»èšæ³>ã³ã³ã¡ã³ã¿ãŒã«åæ¥ç»èšæ³",
"title": ""
},
{
"paragraph_id": 1,
"tag": "p",
"text": "(ç»èšç°¿çã®æ»
倱鲿¢)",
"title": "æ¡æ"
}
] |
æ³åŠïŒæ°äºæ³ïŒåæ¥ç»èšæ³ïŒã³ã³ã¡ã³ã¿ãŒã«åæ¥ç»èšæ³
|
[[æ³åŠ]]ïŒ[[æ°äºæ³]]ïŒ[[忥ç»èšæ³]]ïŒ[[ã³ã³ã¡ã³ã¿ãŒã«åæ¥ç»èšæ³]]
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==解説==
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|[[ã³ã³ã¡ã³ã¿ãŒã«åæ¥ç»èšæ³|忥ç»èšæ³]]
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|[[忥ç»èšæ³ç¬¬8æ¡]]<br>ïŒç»èšç°¿ã®æ»
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|[[忥ç»èšæ³ç¬¬10æ¡]]<br>ïŒç»èšäºé
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}}
{{stub}}
[[category:忥ç»èšæ³|009]]
| null |
2010-11-11T22:52:37Z
|
[
"ãã³ãã¬ãŒã:ååŸ",
"ãã³ãã¬ãŒã:Stub"
] |
https://ja.wikibooks.org/wiki/%E5%95%86%E6%A5%AD%E7%99%BB%E8%A8%98%E6%B3%95%E7%AC%AC9%E6%9D%A1
|
15,085 |
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|
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(ç»èšäºé
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|
[
{
"paragraph_id": 0,
"tag": "p",
"text": "æ³åŠ>æ°äºæ³>忥ç»èšæ³>ã³ã³ã¡ã³ã¿ãŒã«åæ¥ç»èšæ³",
"title": ""
},
{
"paragraph_id": 1,
"tag": "p",
"text": "(ç»èšäºé
èšŒææžã®äº€ä»ç)",
"title": "æ¡æ"
}
] |
æ³åŠïŒæ°äºæ³ïŒåæ¥ç»èšæ³ïŒã³ã³ã¡ã³ã¿ãŒã«åæ¥ç»èšæ³
|
[[æ³åŠ]]ïŒ[[æ°äºæ³]]ïŒ[[忥ç»èšæ³]]ïŒ[[ã³ã³ã¡ã³ã¿ãŒã«åæ¥ç»èšæ³]]
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# ç»èšäºé
èšŒææžã®èšèŒäºé
ã¯ãæ³åç什ã§å®ããã
==解説==
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==å€äŸ==
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|[[ã³ã³ã¡ã³ã¿ãŒã«åæ¥ç»èšæ³|忥ç»èšæ³]]
|[[ã³ã³ã¡ã³ã¿ãŒã«åæ¥ç»èšæ³#2|第2ç« ç»èšç°¿ç]]<br>
|[[忥ç»èšæ³ç¬¬9æ¡]]<br>ïŒç»èšç°¿çã®æ»
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|[[忥ç»èšæ³ç¬¬11æ¡]]<br>ïŒç»èšïŒ
}}
{{stub}}
[[category:忥ç»èšæ³|010]]
| null |
2010-11-11T22:55:06Z
|
[
"ãã³ãã¬ãŒã:ååŸ",
"ãã³ãã¬ãŒã:Stub"
] |
https://ja.wikibooks.org/wiki/%E5%95%86%E6%A5%AD%E7%99%BB%E8%A8%98%E6%B3%95%E7%AC%AC10%E6%9D%A1
|
15,086 |
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|
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(ç»èšäºé
ã®æŠèŠãèšèŒããæžé¢ã®äº€ä»)
|
[
{
"paragraph_id": 0,
"tag": "p",
"text": "æ³åŠ>æ°äºæ³>忥ç»èšæ³>ã³ã³ã¡ã³ã¿ãŒã«åæ¥ç»èšæ³",
"title": ""
},
{
"paragraph_id": 1,
"tag": "p",
"text": "(ç»èšäºé
ã®æŠèŠãèšèŒããæžé¢ã®äº€ä»)",
"title": "æ¡æ"
}
] |
æ³åŠïŒæ°äºæ³ïŒåæ¥ç»èšæ³ïŒã³ã³ã¡ã³ã¿ãŒã«åæ¥ç»èšæ³
|
[[æ³åŠ]]ïŒ[[æ°äºæ³]]ïŒ[[忥ç»èšæ³]]ïŒ[[ã³ã³ã¡ã³ã¿ãŒã«åæ¥ç»èšæ³]]
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ã®æŠèŠãèšèŒããæžé¢ã®äº€ä»ãè«æ±ããããšãã§ããã
==解説==
==åç
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==å€äŸ==
----
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|[[忥ç»èšæ³ç¬¬10æ¡]]<br />ïŒç»èšäºé
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|[[忥ç»èšæ³ç¬¬11æ¡ã®2]]<br />ïŒé屿žé¡ã®é²èЧïŒ
}}
{{Stub}}
[[Category:忥ç»èšæ³|011]]
| null |
2014-03-15T23:57:47Z
|
[
"ãã³ãã¬ãŒã:ååŸ",
"ãã³ãã¬ãŒã:Stub"
] |
https://ja.wikibooks.org/wiki/%E5%95%86%E6%A5%AD%E7%99%BB%E8%A8%98%E6%B3%95%E7%AC%AC11%E6%9D%A1
|
15,087 |
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|
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(é屿žé¡ã®é²èЧ)
|
[
{
"paragraph_id": 0,
"tag": "p",
"text": "æ³åŠ>æ°äºæ³>忥ç»èšæ³>ã³ã³ã¡ã³ã¿ãŒã«åæ¥ç»èšæ³",
"title": ""
},
{
"paragraph_id": 1,
"tag": "p",
"text": "(é屿žé¡ã®é²èЧ)",
"title": "æ¡æ"
}
] |
æ³åŠïŒæ°äºæ³ïŒåæ¥ç»èšæ³ïŒã³ã³ã¡ã³ã¿ãŒã«åæ¥ç»èšæ³
|
[[æ³åŠ]]ïŒ[[æ°äºæ³]]ïŒ[[忥ç»èšæ³]]ïŒ[[ã³ã³ã¡ã³ã¿ãŒã«åæ¥ç»èšæ³]]
==æ¡æ==
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ã«èŠå®ããé»ç£çèšé²åã¯[[忥ç»èšæ³ç¬¬19æ¡ã®2|第19æ¡ã®2]]ã«èŠå®ããé»ç£çèšé²ã«èšé²ãããæ
å ±ã®é²èЧã¯ããã®æ
å ±ã®å
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==解説==
==åç
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==å€äŸ==
----
{{ååŸ
|[[ã³ã³ã¡ã³ã¿ãŒã«åæ¥ç»èšæ³|忥ç»èšæ³]]
|[[ã³ã³ã¡ã³ã¿ãŒã«åæ¥ç»èšæ³#2|第2ç« ç»èšç°¿ç]]<br>
|[[忥ç»èšæ³ç¬¬11æ¡]]<br>ïŒç»èšïŒ
|[[忥ç»èšæ³ç¬¬12æ¡]]<br>ïŒå°é蚌æïŒ
}}
{{stub}}
[[category:忥ç»èšæ³|011ã®2]]
| null |
2010-11-11T23:00:22Z
|
[
"ãã³ãã¬ãŒã:ååŸ",
"ãã³ãã¬ãŒã:Stub"
] |
https://ja.wikibooks.org/wiki/%E5%95%86%E6%A5%AD%E7%99%BB%E8%A8%98%E6%B3%95%E7%AC%AC11%E6%9D%A1%E3%81%AE2
|
15,088 |
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|
æ³åŠ>æ°äºæ³>忥ç»èšæ³>ã³ã³ã¡ã³ã¿ãŒã«åæ¥ç»èšæ³
(ææ°æ)
|
[
{
"paragraph_id": 0,
"tag": "p",
"text": "æ³åŠ>æ°äºæ³>忥ç»èšæ³>ã³ã³ã¡ã³ã¿ãŒã«åæ¥ç»èšæ³",
"title": ""
},
{
"paragraph_id": 1,
"tag": "p",
"text": "(ææ°æ)",
"title": "æ¡æ"
}
] |
æ³åŠïŒæ°äºæ³ïŒåæ¥ç»èšæ³ïŒã³ã³ã¡ã³ã¿ãŒã«åæ¥ç»èšæ³
|
[[æ³åŠ]]ïŒ[[æ°äºæ³]]ïŒ[[忥ç»èšæ³]]ïŒ[[ã³ã³ã¡ã³ã¿ãŒã«åæ¥ç»èšæ³]]
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# [[忥ç»èšæ³ç¬¬10æ¡|第10æ¡]]ããåæ¡ãŸã§ã®ææ°æã®é¡ã¯ãç©äŸ¡ã®ç¶æ³ãç»èšäºé
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èšŒææžåã¯å°éã®èšŒææžã®äº€ä»ãè«æ±ãããšãã¯ãæ³åç什ã§å®ãããšããã«ãããçŸéããã€ãŠããããšãã§ããã
==解説==
==åç
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----
{{ååŸ
|[[ã³ã³ã¡ã³ã¿ãŒã«åæ¥ç»èšæ³|忥ç»èšæ³]]
|[[ã³ã³ã¡ã³ã¿ãŒã«åæ¥ç»èšæ³#2|第2ç« ç»èšç°¿ç]]<br>
|[[忥ç»èšæ³ç¬¬12æ¡ã®2]]<br>ïŒé»ç£çèšé²ã®äœæè
ãç€ºãæªçœ®ã®ç¢ºèªã«å¿
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}}
{{stub}}
[[category:忥ç»èšæ³|013]]
| null |
2010-11-12T07:14:20Z
|
[
"ãã³ãã¬ãŒã:ååŸ",
"ãã³ãã¬ãŒã:Stub"
] |
https://ja.wikibooks.org/wiki/%E5%95%86%E6%A5%AD%E7%99%BB%E8%A8%98%E6%B3%95%E7%AC%AC13%E6%9D%A1
|
15,089 |
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|
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(åœäºè
ç³è«äž»çŸ©)
|
[
{
"paragraph_id": 0,
"tag": "p",
"text": "æ³åŠ>æ°äºæ³>忥ç»èšæ³>ã³ã³ã¡ã³ã¿ãŒã«åæ¥ç»èšæ³",
"title": ""
},
{
"paragraph_id": 1,
"tag": "p",
"text": "(åœäºè
ç³è«äž»çŸ©)",
"title": "æ¡æ"
}
] |
æ³åŠïŒæ°äºæ³ïŒåæ¥ç»èšæ³ïŒã³ã³ã¡ã³ã¿ãŒã«åæ¥ç»èšæ³
|
[[æ³åŠ]]ïŒ[[æ°äºæ³]]ïŒ[[忥ç»èšæ³]]ïŒ[[ã³ã³ã¡ã³ã¿ãŒã«åæ¥ç»èšæ³]]
==æ¡æ==
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: ç»èšã¯ãæ³ä»€ã«å¥æ®µã®å®ããããå Žåãé€ãã»ããåœäºè
ã®ç³è«åã¯å®åºã®å±èšããªããã°ãããããšãã§ããªãã
==解説==
==åç
§æ¡æ==
==å€äŸ==
----
{{ååŸ
|[[ã³ã³ã¡ã³ã¿ãŒã«åæ¥ç»èšæ³|忥ç»èšæ³]]
|[[ã³ã³ã¡ã³ã¿ãŒã«åæ¥ç»èšæ³#3|第3ç« ç»èšæç¶]]<br>
[[ã³ã³ã¡ã³ã¿ãŒã«åæ¥ç»èšæ³#3-1|第1ç¯ éå]]
|[[忥ç»èšæ³ç¬¬13æ¡]]<br>ïŒææ°æïŒ
|[[忥ç»èšæ³ç¬¬15æ¡]]<br>ïŒå±èšã«ããç»èšïŒ
}}
{{stub}}
[[category:忥ç»èšæ³|014]]
| null |
2010-11-12T07:52:07Z
|
[
"ãã³ãã¬ãŒã:ååŸ",
"ãã³ãã¬ãŒã:Stub"
] |
https://ja.wikibooks.org/wiki/%E5%95%86%E6%A5%AD%E7%99%BB%E8%A8%98%E6%B3%95%E7%AC%AC14%E6%9D%A1
|
15,090 |
忥ç»èšæ³ç¬¬36æ¡
|
æ³åŠ>æ°äºæ³>忥ç»èšæ³>ã³ã³ã¡ã³ã¿ãŒã«åæ¥ç»èšæ³
(ç³è«äºº)
|
[
{
"paragraph_id": 0,
"tag": "p",
"text": "æ³åŠ>æ°äºæ³>忥ç»èšæ³>ã³ã³ã¡ã³ã¿ãŒã«åæ¥ç»èšæ³",
"title": ""
},
{
"paragraph_id": 1,
"tag": "p",
"text": "(ç³è«äºº)",
"title": "æ¡æ"
}
] |
æ³åŠïŒæ°äºæ³ïŒåæ¥ç»èšæ³ïŒã³ã³ã¡ã³ã¿ãŒã«åæ¥ç»èšæ³
|
[[æ³åŠ]]ïŒ[[æ°äºæ³]]ïŒ[[忥ç»èšæ³]]ïŒ[[ã³ã³ã¡ã³ã¿ãŒã«åæ¥ç»èšæ³]]
==æ¡æ==
ïŒç³è«äººïŒ
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# æªæå¹Žè
ã®ç»èšã¯ãæªæå¹Žè
ã®ç³è«ã«ãã€ãŠããã
# å¶æ¥ã®èš±å¯ã®åæ¶ãã«ããæ¶æ»
ã®ç»èšåã¯å¶æ¥ã®èš±å¯ã®å¶éã«ãã倿Žã®ç»èšã¯ãæ³å®ä»£ç人ãç³è«ããããšãã§ããã
# æªæå¹Žè
ã®æ»äº¡ã«ããæ¶æ»
ã®ç»èšã¯ãæ³å®ä»£ç人ã®ç³è«ã«ãã€ãŠããã
# æªæå¹Žè
ãæå¹Žã«éããããšã«ããæ¶æ»
ã®ç»èšã¯ãç»èšå®ããè·æš©ã§ããããšãã§ããã
==解説==
==åç
§æ¡æ==
==å€äŸ==
----
{{ååŸ
|[[ã³ã³ã¡ã³ã¿ãŒã«åæ¥ç»èšæ³|忥ç»èšæ³]]
|[[ã³ã³ã¡ã³ã¿ãŒã«åæ¥ç»èšæ³#3|第3ç« ç»èšæç¶]]<br>
[[ã³ã³ã¡ã³ã¿ãŒã«åæ¥ç»èšæ³#3-3|第3ç¯ æªæå¹Žè
åã³åŸèŠäººã®ç»èš]]
|[[忥ç»èšæ³ç¬¬35æ¡]]<br>ïŒæªæå¹Žè
ç»èšã®ç»èšäºé
çïŒ
|[[忥ç»èšæ³ç¬¬37æ¡]]<br>ïŒæ·»ä»æžé¢ïŒ
}}
{{stub}}
[[category:忥ç»èšæ³|036]]
| null |
2010-11-12T07:55:48Z
|
[
"ãã³ãã¬ãŒã:ååŸ",
"ãã³ãã¬ãŒã:Stub"
] |
https://ja.wikibooks.org/wiki/%E5%95%86%E6%A5%AD%E7%99%BB%E8%A8%98%E6%B3%95%E7%AC%AC36%E6%9D%A1
|
15,091 |
忥ç»èšæ³ç¬¬72æ¡
|
æ³åŠ>æ°äºæ³>忥ç»èšæ³>ã³ã³ã¡ã³ã¿ãŒã«åæ¥ç»èšæ³
(è·æš©ã«ããè§£æ£ã®ç»èš)
|
[
{
"paragraph_id": 0,
"tag": "p",
"text": "æ³åŠ>æ°äºæ³>忥ç»èšæ³>ã³ã³ã¡ã³ã¿ãŒã«åæ¥ç»èšæ³",
"title": ""
},
{
"paragraph_id": 1,
"tag": "p",
"text": "(è·æš©ã«ããè§£æ£ã®ç»èš)",
"title": "æ¡æ"
}
] |
æ³åŠïŒæ°äºæ³ïŒåæ¥ç»èšæ³ïŒã³ã³ã¡ã³ã¿ãŒã«åæ¥ç»èšæ³
|
[[æ³åŠ]]ïŒ[[æ°äºæ³]]ïŒ[[忥ç»èšæ³]]ïŒ[[ã³ã³ã¡ã³ã¿ãŒã«åæ¥ç»èšæ³]]
==æ¡æ==
ïŒè·æš©ã«ããè§£æ£ã®ç»èšïŒ
;第72æ¡
: [[äŒç€Ÿæ³ç¬¬472æ¡]]第1é
æ¬æã®èŠå®ã«ããè§£æ£ã®ç»èšã¯ãç»èšå®ããè·æš©ã§ããªããã°ãªããªãã
==解説==
==åç
§æ¡æ==
==å€äŸ==
----
{{ååŸ
|[[ã³ã³ã¡ã³ã¿ãŒã«åæ¥ç»èšæ³|忥ç»èšæ³]]
|[[ã³ã³ã¡ã³ã¿ãŒã«åæ¥ç»èšæ³#3|第3ç« ç»èšæç¶]]<br>
[[ã³ã³ã¡ã³ã¿ãŒã«åæ¥ç»èšæ³#3-5|第5ç¯ æ ªåŒäŒç€Ÿã®ç»èš]]
|[[忥ç»èšæ³ç¬¬71æ¡]]<br>ïŒè§£æ£ã®ç»èšïŒ
|[[忥ç»èšæ³ç¬¬73æ¡]]<br>ïŒæž
ç®äººã®ç»èšïŒ
}}
{{stub}}
[[category:忥ç»èšæ³|072]]
| null |
2010-11-12T07:58:54Z
|
[
"ãã³ãã¬ãŒã:ååŸ",
"ãã³ãã¬ãŒã:Stub"
] |
https://ja.wikibooks.org/wiki/%E5%95%86%E6%A5%AD%E7%99%BB%E8%A8%98%E6%B3%95%E7%AC%AC72%E6%9D%A1
|
15,092 |
é«çåŠæ ¡å€æ/ææ³/è«èª
|
ååãšåœŒã®é«åŒã®èšè¡ãååã®æ»åŸãåŒåéãèšé²ããæžç©ã®ããšããååãã倧åŠããäžåºžããšäœµããŠåæã«ãããæãéèŠãªçµå
žã§ãããåæžãã®äžã€ã«æ°ããããã
|
[
{
"paragraph_id": 0,
"tag": "p",
"text": "ååãšåœŒã®é«åŒã®èšè¡ãååã®æ»åŸãåŒåéãèšé²ããæžç©ã®ããšããååãã倧åŠããäžåºžããšäœµããŠåæã«ãããæãéèŠãªçµå
žã§ãããåæžãã®äžã€ã«æ°ããããã",
"title": "è«èª"
}
] | null |
==è«èª==
{{stub}}
=== æŠèŠ ===
[[w:åå|åå]]ãšåœŒã®é«åŒã®èšè¡ãååã®æ»åŸãåŒåéãèšé²ããæžç©ã®ããšãã[[é«çåŠæ ¡å€æ/ææ³/åå|åå]]ãã[[é«çåŠæ ¡å€æ/ææ³/倧åŠ|倧åŠ]]ãã[[é«çåŠæ ¡å€æ/ææ³/äžåºž|äžåºž]]ããšäœµããŠåæã«ãããæãéèŠãªçµå
žã§ãããåæžãã®äžã€ã«æ°ããããã
=== åŠèç¬¬äž ===
* [[è«èªå·»ç¬¬äžåŠè第äž|ãè«èªå·»ç¬¬äžåŠè第äžã]]ã«[[wikt:åæ|åæ]]ãèŒã£ãŠããŸãã
=== çºæ¿ç¬¬äº ===
* [[è«èªå·»ç¬¬äžçºæ¿ç¬¬äº|ãè«èªå·»ç¬¬äžçºæ¿ç¬¬äºã]]ã«åæãšèªã¿äžãæããããŸãã
* [[/åäº|åŠèäžæïŒåŠã³ãŠæãããã°ïŒ]]
=== å
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* [[è«èªå·»ç¬¬äžå
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=== éä»ç¬¬å ===
=== å
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=== éä¹ç¬¬å
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=== è¿°èç¬¬äž ===
=== 泰䌯第å
« ===
=== åçœç¬¬ä¹ ===
=== é·å
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=== å
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=== 顿·µç¬¬åäº ===
=== å路第åäž ===
=== æ²å第åå ===
=== è¡éå
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=== 壿°ç¬¬åå
===
=== éœè²šç¬¬åäž ===
=== 埮å第åå
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=== å匵第åä¹ ===
=== å ¯æ°ç¬¬äºå ===
=== ïŒæ³šéïŒ ===
* åæãèŠãã人ã¯ãåŠèç¬¬äž ãšãçºæ¿ç¬¬äºã¯ãWikisourceã«èªè§£æãèŒã£ãŠããŸãã
{{Wikiquote|åå|è«èª}}
{{Wikisource|è«èª}}
[[ã«ããŽãª:é«çåŠæ ¡æè² åœèª 挢æ|ããã]]
[[Category:è«èª|*}]]
| null |
2022-12-06T03:15:26Z
|
[
"ãã³ãã¬ãŒã:Stub",
"ãã³ãã¬ãŒã:Wikiquote",
"ãã³ãã¬ãŒã:Wikisource"
] |
https://ja.wikibooks.org/wiki/%E9%AB%98%E7%AD%89%E5%AD%A6%E6%A0%A1%E5%8F%A4%E6%96%87/%E6%80%9D%E6%83%B3/%E8%AB%96%E8%AA%9E
|
15,093 |
é«çåŠæ ¡å€æ/ææ³/è«èª/åäº
|
åæ°ãåŠèäžæåçœã æèäžåŠåæ®ã
|
[
{
"paragraph_id": 0,
"tag": "p",
"text": "åæ°ãåŠèäžæåçœã æèäžåŠåæ®ã",
"title": "æ¬æ"
}
] | null |
==æ¬æ==
<big>'''åæ°ãåŠèäžæåçœã æèäžåŠåæ®ã'''</big>
:åæ°ããåŠã³ãŠ<ref>ãã®æä»£ã«ã¯ã端çã«å€å
žïŒæ¥œå
žãªã©ãå«ãïŒãåŠç¿ããããšã</ref>æãããã°åã¡çœ<sup>ïŒããïŒ</sup>ã<ref>ã[[wikt:çœ|çœ]]ãã¯ããçœïŒããã¿ãã®è±¡åœ¢æåïŒã+é³ç¬Šã亡ããããªããç¶²ãã®ååã§ãèŠãé ããŠèŠããªãããã®æããç²ããªã©ãšåç³»</ref>ãæããŠåŠã°ããã°åã¡æ®<sup>ïŒãããïŒ</sup>ãã
::å
çïŒååïŒã¯ããããã£ããã£ãããïŒä»äººãæžç±ããïŒåŠãã§ã°ããã§ãèªåã§èããããšããªãã®ã¯ãããçè§£ã§ããŠãããšã¯ãããªããèªåã§èããŠã°ããã§ãïŒä»äººãæžç±ããïŒåŠãŒããšããªãã®ã¯ãïŒç¬ãåããã«ãªãïŒå€§å€å±éºã§ããã
== èªæ³š ==
<references/>
== 解説 ==
[[Category:é«çåŠæ ¡æè²_åœèª_挢æ|ãŸãªã²ãŠããã¯ããã¯]]
[[category:è«èª|ããã]]
| null |
2022-12-06T03:15:32Z
|
[] |
https://ja.wikibooks.org/wiki/%E9%AB%98%E7%AD%89%E5%AD%A6%E6%A0%A1%E5%8F%A4%E6%96%87/%E6%80%9D%E6%83%B3/%E8%AB%96%E8%AA%9E/%E5%8D%81%E4%BA%94
|
15,094 |
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|
æ³åŠ>æ°äºæ³>忥ç»èšæ³>ã³ã³ã¡ã³ã¿ãŒã«åæ¥ç»èšæ³
(æŽæ£)
|
[
{
"paragraph_id": 0,
"tag": "p",
"text": "æ³åŠ>æ°äºæ³>忥ç»èšæ³>ã³ã³ã¡ã³ã¿ãŒã«åæ¥ç»èšæ³",
"title": ""
},
{
"paragraph_id": 1,
"tag": "p",
"text": "(æŽæ£)",
"title": "æ¡æ"
}
] |
æ³åŠïŒæ°äºæ³ïŒåæ¥ç»èšæ³ïŒã³ã³ã¡ã³ã¿ãŒã«åæ¥ç»èšæ³
|
[[æ³åŠ]]ïŒ[[æ°äºæ³]]ïŒ[[忥ç»èšæ³]]ïŒ[[ã³ã³ã¡ã³ã¿ãŒã«åæ¥ç»èšæ³]]
==æ¡æ==
ïŒæŽæ£ïŒ
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# ç»èšå®ã¯ãç»èšã«é¯èª€åã¯éºæŒãããããšãçºèŠãããšãã¯ãé
æ»ãªããç»èšãããè
ã«ãã®æšãéç¥ããªããã°ãªããªãããã ãããã®é¯èª€åã¯éºæŒãç»èšå®ã®é誀ã«ãããã®ã§ãããšãã¯ããã®éãã§ãªãã
# åé
ãã ãæžã®å Žåã«ãããŠã¯ãç»èšå®ã¯ãé
æ»ãªããç£ç£æ³åå±åã¯å°æ¹æ³åå±ã®é·ã®èš±å¯ãåŸãŠãç»èšã®æŽæ£ãããªããã°ãªããªãã
==解説==
==åç
§æ¡æ==
*[[忥ç»èšèŠå第99æ¡]]ïŒç»èšã®æŽæ£ïŒ
==å€äŸ==
----
{{ååŸ
|[[ã³ã³ã¡ã³ã¿ãŒã«åæ¥ç»èšæ³|忥ç»èšæ³]]
|[[ã³ã³ã¡ã³ã¿ãŒã«åæ¥ç»èšæ³#3|第3ç« ç»èšæç¶]]<br>
[[ã³ã³ã¡ã³ã¿ãŒã«åæ¥ç»èšæ³#3-10|第10ç¯ ç»èšã®æŽæ£åã³æ¹æ¶]]
|[[忥ç»èšæ³ç¬¬132æ¡]]<br>ïŒæŽæ£ïŒ
|[[忥ç»èšæ³ç¬¬134æ¡]]<br>ïŒæ¹æ¶ã®ç³è«ïŒ
}}
{{stub}}
[[category:忥ç»èšæ³|133]]
| null |
2010-11-25T08:05:56Z
|
[
"ãã³ãã¬ãŒã:ååŸ",
"ãã³ãã¬ãŒã:Stub"
] |
https://ja.wikibooks.org/wiki/%E5%95%86%E6%A5%AD%E7%99%BB%E8%A8%98%E6%B3%95%E7%AC%AC133%E6%9D%A1
|
15,095 |
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|
æ³åŠ>æ°äºæ³>忥ç»èšæ³>ã³ã³ã¡ã³ã¿ãŒã«åæ¥ç»èšæ³
(è·æš©æ¹æ¶)
|
[
{
"paragraph_id": 0,
"tag": "p",
"text": "æ³åŠ>æ°äºæ³>忥ç»èšæ³>ã³ã³ã¡ã³ã¿ãŒã«åæ¥ç»èšæ³",
"title": ""
},
{
"paragraph_id": 1,
"tag": "p",
"text": "(è·æš©æ¹æ¶)",
"title": "æ¡æ"
}
] |
æ³åŠïŒæ°äºæ³ïŒåæ¥ç»èšæ³ïŒã³ã³ã¡ã³ã¿ãŒã«åæ¥ç»èšæ³
|
[[æ³åŠ]]ïŒ[[æ°äºæ³]]ïŒ[[忥ç»èšæ³]]ïŒ[[ã³ã³ã¡ã³ã¿ãŒã«åæ¥ç»èšæ³]]
==æ¡æ==
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: ç»èšå®ã¯ãç°è°ãè¿°ã¹ãè
ããªããšããåã¯ç°è°ãåŽäžãããšãã¯ãç»èšãæ¹æ¶ããªããã°ãªããªãã
==解説==
==åç
§æ¡æ==
*[[忥ç»èšæ³ç¬¬33æ¡]]ïŒåå·ã®ç»èšã®æ¹æ¶ïŒ
==å€äŸ==
----
{{ååŸ
|[[ã³ã³ã¡ã³ã¿ãŒã«åæ¥ç»èšæ³|忥ç»èšæ³]]
|[[ã³ã³ã¡ã³ã¿ãŒã«åæ¥ç»èšæ³#3|第3ç« ç»èšæç¶]]<br>
[[ã³ã³ã¡ã³ã¿ãŒã«åæ¥ç»èšæ³#3-10|第10ç¯ ç»èšã®æŽæ£åã³æ¹æ¶]]
|[[忥ç»èšæ³ç¬¬136æ¡]]<br>ïŒè·æš©æ¹æ¶ïŒ
|[[忥ç»èšæ³ç¬¬138æ¡]]<br>ïŒè·æš©æ¹æ¶ïŒ
}}
{{stub}}
[[category:忥ç»èšæ³|137]]
| null |
2010-12-04T09:50:49Z
|
[
"ãã³ãã¬ãŒã:ååŸ",
"ãã³ãã¬ãŒã:Stub"
] |
https://ja.wikibooks.org/wiki/%E5%95%86%E6%A5%AD%E7%99%BB%E8%A8%98%E6%B3%95%E7%AC%AC137%E6%9D%A1
|
15,096 |
忥ç»èšæ³ç¬¬138æ¡
|
æ³åŠ>æ°äºæ³>忥ç»èšæ³>ã³ã³ã¡ã³ã¿ãŒã«åæ¥ç»èšæ³
(è·æš©æ¹æ¶)
|
[
{
"paragraph_id": 0,
"tag": "p",
"text": "æ³åŠ>æ°äºæ³>忥ç»èšæ³>ã³ã³ã¡ã³ã¿ãŒã«åæ¥ç»èšæ³",
"title": ""
},
{
"paragraph_id": 1,
"tag": "p",
"text": "(è·æš©æ¹æ¶)",
"title": "æ¡æ"
}
] |
æ³åŠïŒæ°äºæ³ïŒåæ¥ç»èšæ³ïŒã³ã³ã¡ã³ã¿ãŒã«åæ¥ç»èšæ³
|
[[æ³åŠ]]ïŒ[[æ°äºæ³]]ïŒ[[忥ç»èšæ³]]ïŒ[[ã³ã³ã¡ã³ã¿ãŒã«åæ¥ç»èšæ³]]
==æ¡æ==
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# åäžæ¡ã®èŠå®ã¯ãæ¬åºåã³æ¯åºã®æåšå°ã«ãããŠç»èšãã¹ãäºé
ã®ç»èšã«ã€ããŠã¯ãæ¬åºã®æåšå°ã«ãããŠããç»èšã«ã®ã¿é©çšããããã ããæ¯åºã®æåšå°ã«ãããç»èšã®ã¿ã«ã€ãæ¹æ¶ã®äºç±ããããšãã¯ããã®éãã§ãªãã
# åé
æ¬æã®å Žåã«ãããŠãç»èšãæ¹æ¶ãããšãã¯ãç»èšå®ã¯ãé
æ»ãªãããã®æšãæ¯åºã®æåšå°ã®ç»èšæã«éç¥ããªããã°ãªããªãã
# åé
ã®éç¥ãåãããšãã¯ãç»èšå®ã¯ãé
æ»ãªããç»èšãæ¹æ¶ããªããã°ãªããªãã
==解説==
*[[忥ç»èšæ³ç¬¬135æ¡|第135æ¡]]ïŒè·æš©æ¹æ¶ïŒ
*[[忥ç»èšæ³ç¬¬136æ¡|第136æ¡]]ïŒè·æš©æ¹æ¶ïŒ
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==åç
§æ¡æ==
==å€äŸ==
----
{{ååŸ
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|[[忥ç»èšæ³ç¬¬137æ¡]]<br>ïŒè·æš©æ¹æ¶ïŒ
|[[忥ç»èšæ³ç¬¬139æ¡]]<br>ïŒè¡æ¿æç¶æ³ã®é©çšé€å€ïŒ
}}
{{stub}}
[[category:忥ç»èšæ³|138]]
| null |
2010-12-02T08:13:51Z
|
[
"ãã³ãã¬ãŒã:ååŸ",
"ãã³ãã¬ãŒã:Stub"
] |
https://ja.wikibooks.org/wiki/%E5%95%86%E6%A5%AD%E7%99%BB%E8%A8%98%E6%B3%95%E7%AC%AC138%E6%9D%A1
|
15,097 |
忥ç»èšæ³ç¬¬144æ¡
|
æ³åŠ>æ°äºæ³>忥ç»èšæ³>ã³ã³ã¡ã³ã¿ãŒã«åæ¥ç»èšæ³
(審æ»è«æ±äºä»¶ã®åŠç)
|
[
{
"paragraph_id": 0,
"tag": "p",
"text": "æ³åŠ>æ°äºæ³>忥ç»èšæ³>ã³ã³ã¡ã³ã¿ãŒã«åæ¥ç»èšæ³",
"title": ""
},
{
"paragraph_id": 1,
"tag": "p",
"text": "(審æ»è«æ±äºä»¶ã®åŠç)",
"title": "æ¡æ"
}
] |
æ³åŠïŒæ°äºæ³ïŒåæ¥ç»èšæ³ïŒã³ã³ã¡ã³ã¿ãŒã«åæ¥ç»èšæ³
|
[[æ³åŠ]]ïŒ[[æ°äºæ³]]ïŒ[[忥ç»èšæ³]]ïŒ[[ã³ã³ã¡ã³ã¿ãŒã«åæ¥ç»èšæ³]]
==æ¡æ==
ïŒå¯©æ»è«æ±äºä»¶ã®åŠçïŒ
;第144æ¡
: ç»èšå®ã¯ã審æ»è«æ±ãçç±ããããšèªãããšãã¯ãçžåœã®åŠåãããªããã°ãªããªãã
==解説==
==åç
§æ¡æ==
==å€äŸ==
----
{{ååŸ
|[[ã³ã³ã¡ã³ã¿ãŒã«åæ¥ç»èšæ³|忥ç»èšæ³]]
|[[ã³ã³ã¡ã³ã¿ãŒã«åæ¥ç»èšæ³#4|第4ç« éå]]<br>
|[[忥ç»èšæ³ç¬¬143æ¡]]<br>ïŒå¯©æ»è«æ±ïŒ
|[[忥ç»èšæ³ç¬¬145æ¡]]<br>ïŒå¯©æ»è«æ±äºä»¶ã®åŠçïŒ
}}
{{stub}}
[[category:忥ç»èšæ³|144]]
| null |
2010-11-12T19:54:14Z
|
[
"ãã³ãã¬ãŒã:ååŸ",
"ãã³ãã¬ãŒã:Stub"
] |
https://ja.wikibooks.org/wiki/%E5%95%86%E6%A5%AD%E7%99%BB%E8%A8%98%E6%B3%95%E7%AC%AC144%E6%9D%A1
|
15,098 |
忥ç»èšæ³ç¬¬146æ¡
|
æ³åŠ>æ°äºæ³>忥ç»èšæ³>ã³ã³ã¡ã³ã¿ãŒã«åæ¥ç»èšæ³
(審æ»è«æ±äºä»¶ã®åŠç)
|
[
{
"paragraph_id": 0,
"tag": "p",
"text": "æ³åŠ>æ°äºæ³>忥ç»èšæ³>ã³ã³ã¡ã³ã¿ãŒã«åæ¥ç»èšæ³",
"title": ""
},
{
"paragraph_id": 1,
"tag": "p",
"text": "(審æ»è«æ±äºä»¶ã®åŠç)",
"title": "æ¡æ"
}
] |
æ³åŠïŒæ°äºæ³ïŒåæ¥ç»èšæ³ïŒã³ã³ã¡ã³ã¿ãŒã«åæ¥ç»èšæ³
|
[[æ³åŠ]]ïŒ[[æ°äºæ³]]ïŒ[[忥ç»èšæ³]]ïŒ[[ã³ã³ã¡ã³ã¿ãŒã«åæ¥ç»èšæ³]]
==æ¡æ==
ïŒå¯©æ»è«æ±äºä»¶ã®åŠçïŒ
;第146æ¡
: [[忥ç»èšæ³ç¬¬142æ¡|第142æ¡]]ã®æ³åå±åã¯å°æ¹æ³åå±ã®é·ã¯ã審æ»è«æ±ãçç±ããããšèªãããšãã¯ãç»èšå®ã«çžåœã®åŠåãåœãããã®æšã審æ»è«æ±äººã®ã»ãç»èšäžã®å©å®³é¢ä¿äººã«éç¥ããªããã°ãªããªãã
==解説==
*第142æ¡ïŒå¯©æ»è«æ±ïŒ
==åç
§æ¡æ==
==å€äŸ==
----
{{ååŸ
|[[ã³ã³ã¡ã³ã¿ãŒã«åæ¥ç»èšæ³|忥ç»èšæ³]]
|[[ã³ã³ã¡ã³ã¿ãŒã«åæ¥ç»èšæ³#4|第4ç« éå]]<br>
|[[忥ç»èšæ³ç¬¬145æ¡]]<br>ïŒå¯©æ»è«æ±äºä»¶ã®åŠçïŒ
|[[忥ç»èšæ³ç¬¬147æ¡]]<br>ïŒè¡æ¿äžæå¯©æ»æ³ã®é©çšé€å€ïŒ
}}
{{stub}}
[[category:忥ç»èšæ³|146]]
| null |
2012-05-24T15:59:13Z
|
[
"ãã³ãã¬ãŒã:Stub",
"ãã³ãã¬ãŒã:ååŸ"
] |
https://ja.wikibooks.org/wiki/%E5%95%86%E6%A5%AD%E7%99%BB%E8%A8%98%E6%B3%95%E7%AC%AC146%E6%9D%A1
|
15,099 |
忥ç»èšæ³ç¬¬30æ¡
|
æ³åŠ>æ°äºæ³>忥ç»èšæ³>ã³ã³ã¡ã³ã¿ãŒã«åæ¥ç»èšæ³
(åå·ã®è²æž¡åã¯çžç¶ã®ç»èš)
|
[
{
"paragraph_id": 0,
"tag": "p",
"text": "æ³åŠ>æ°äºæ³>忥ç»èšæ³>ã³ã³ã¡ã³ã¿ãŒã«åæ¥ç»èšæ³",
"title": ""
},
{
"paragraph_id": 1,
"tag": "p",
"text": "(åå·ã®è²æž¡åã¯çžç¶ã®ç»èš)",
"title": "æ¡æ"
}
] |
æ³åŠïŒæ°äºæ³ïŒåæ¥ç»èšæ³ïŒã³ã³ã¡ã³ã¿ãŒã«åæ¥ç»èšæ³
|
[[æ³åŠ]]ïŒ[[æ°äºæ³]]ïŒ[[忥ç»èšæ³]]ïŒ[[ã³ã³ã¡ã³ã¿ãŒã«åæ¥ç»èšæ³]]
==æ¡æ==
ïŒåå·ã®è²æž¡åã¯çžç¶ã®ç»èšïŒ
;第30æ¡
# åå·ã®è²æž¡ã«ãã倿Žã®ç»èšã¯ãè²å人ã®ç³è«ã«ãã€ãŠããã
# åé
ã®ç»èšã®ç³è«æžã«ã¯ãè²æž¡äººã®æ¿è«Ÿæžåã³[[åæ³ç¬¬15æ¡]]第1é
ã®èŠå®ã«è©²åœããããšã蚌ããæžé¢ãæ·»ä»ããªããã°ãªããªãã
# åå·ã®çžç¶ã«ãã倿Žã®ç»èšãç³è«ããã«ã¯ãç³è«æžã«çžç¶ã蚌ããæžé¢ãæ·»ä»ããªããã°ãªããªãã
==解説==
*åæ³ç¬¬15æ¡ïŒåå·ã®è²æž¡ïŒ
==åç
§æ¡æ==
*[[忥ç»èšæ³ç¬¬24æ¡]]ïŒç³è«ã®åŽäžïŒ
==å€äŸ==
----
{{ååŸ
|[[ã³ã³ã¡ã³ã¿ãŒã«åæ¥ç»èšæ³|忥ç»èšæ³]]
|[[ã³ã³ã¡ã³ã¿ãŒã«åæ¥ç»èšæ³#3|第3ç« ç»èšæç¶]]<br>
[[ã³ã³ã¡ã³ã¿ãŒã«åæ¥ç»èšæ³#3-2|第2ç¯ åå·ã®ç»èš]]
|[[忥ç»èšæ³ç¬¬29æ¡]]<br>ïŒå€æŽçã®ç»èšïŒ
|[[忥ç»èšæ³ç¬¬31æ¡]]<br>ïŒå¶æ¥åã¯äºæ¥ã®è²æž¡ã®éã®å
責ã®ç»èšïŒ
}}
{{stub}}
[[category:忥ç»èšæ³|030]]
| null |
2010-12-04T09:38:01Z
|
[
"ãã³ãã¬ãŒã:ååŸ",
"ãã³ãã¬ãŒã:Stub"
] |
https://ja.wikibooks.org/wiki/%E5%95%86%E6%A5%AD%E7%99%BB%E8%A8%98%E6%B3%95%E7%AC%AC30%E6%9D%A1
|
15,100 |
忥ç»èšæ³ç¬¬31æ¡
|
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(å¶æ¥åã¯äºæ¥ã®è²æž¡ã®éã®å
責ã®ç»èš)
|
[
{
"paragraph_id": 0,
"tag": "p",
"text": "æ³åŠ>æ°äºæ³>忥ç»èšæ³>ã³ã³ã¡ã³ã¿ãŒã«åæ¥ç»èšæ³",
"title": ""
},
{
"paragraph_id": 1,
"tag": "p",
"text": "(å¶æ¥åã¯äºæ¥ã®è²æž¡ã®éã®å
責ã®ç»èš)",
"title": "æ¡æ"
}
] |
æ³åŠïŒæ°äºæ³ïŒåæ¥ç»èšæ³ïŒã³ã³ã¡ã³ã¿ãŒã«åæ¥ç»èšæ³
|
[[æ³åŠ]]ïŒ[[æ°äºæ³]]ïŒ[[忥ç»èšæ³]]ïŒ[[ã³ã³ã¡ã³ã¿ãŒã«åæ¥ç»èšæ³]]
==æ¡æ==
ïŒå¶æ¥åã¯äºæ¥ã®è²æž¡ã®éã®å
責ã®ç»èšïŒ
;第31æ¡
: [[åæ³ç¬¬17æ¡]]第2é
åæ®µåã³[[äŒç€Ÿæ³ç¬¬22æ¡]]第2é
åæ®µã®ç»èšã¯ãè²å人ã®ç³è«ã«ãã€ãŠããã
==解説==
==åç
§æ¡æ==
*[[忥ç»èšæ³ç¬¬24æ¡]]ïŒç³è«ã®åŽäžïŒ
==å€äŸ==
----
{{ååŸ
|[[ã³ã³ã¡ã³ã¿ãŒã«åæ¥ç»èšæ³|忥ç»èšæ³]]
|[[ã³ã³ã¡ã³ã¿ãŒã«åæ¥ç»èšæ³#3|第3ç« ç»èšæç¶]]<br>
[[ã³ã³ã¡ã³ã¿ãŒã«åæ¥ç»èšæ³#3-2|第2ç¯ åå·ã®ç»èš]]
|[[忥ç»èšæ³ç¬¬30æ¡]]<br>ïŒåå·ã®è²æž¡åã¯çžç¶ã®ç»èšïŒ
|[[忥ç»èšæ³ç¬¬32æ¡]]<br>ïŒçžç¶äººã«ããç»èšïŒ
}}
{{stub}}
[[category:忥ç»èšæ³|031]]
| null |
2010-12-04T09:39:15Z
|
[
"ãã³ãã¬ãŒã:ååŸ",
"ãã³ãã¬ãŒã:Stub"
] |
https://ja.wikibooks.org/wiki/%E5%95%86%E6%A5%AD%E7%99%BB%E8%A8%98%E6%B3%95%E7%AC%AC31%E6%9D%A1
|
15,101 |
忥ç»èšæ³ç¬¬33æ¡
|
æ³åŠ>æ°äºæ³>忥ç»èšæ³>ã³ã³ã¡ã³ã¿ãŒã«åæ¥ç»èšæ³
(åå·ã®ç»èšã®æ¹æ¶)
|
[
{
"paragraph_id": 0,
"tag": "p",
"text": "æ³åŠ>æ°äºæ³>忥ç»èšæ³>ã³ã³ã¡ã³ã¿ãŒã«åæ¥ç»èšæ³",
"title": ""
},
{
"paragraph_id": 1,
"tag": "p",
"text": "(åå·ã®ç»èšã®æ¹æ¶)",
"title": "æ¡æ"
}
] |
æ³åŠïŒæ°äºæ³ïŒåæ¥ç»èšæ³ïŒã³ã³ã¡ã³ã¿ãŒã«åæ¥ç»èšæ³
|
[[æ³åŠ]]ïŒ[[æ°äºæ³]]ïŒ[[忥ç»èšæ³]]ïŒ[[ã³ã³ã¡ã³ã¿ãŒã«åæ¥ç»èšæ³]]
==æ¡æ==
ïŒåå·ã®ç»èšã®æ¹æ¶ïŒ
;第33æ¡
# 次ã®åå·ã«æ²ããå Žåã«ãããŠãåœè©²åå·ã®ç»èšãããè
ãåœè©²åå·ã«å®ããç»èšãããªããšãã¯ãåœè©²åå·ã®ç»èšã«ä¿ãå¶æ¥æïŒäŒç€Ÿã«ãã€ãŠã¯ãæ¬åºã以äžãã®æ¡ã«ãããŠåããïŒã®æåšå Žæã«ãããŠåäžã®åå·ã䜿çšããããšããè
ã¯ãç»èšæã«å¯Ÿããåœè©²åå·ã®ç»èšã®æ¹æ¶ãç³è«ããããšãã§ããã
#:äž ç»èšããåå·ã廿¢ãããšããåœè©²åå·ã®å»æ¢ã®ç»èš
#:äº åå·ã®ç»èšãããè
ãæ£åœãªäºç±ãªãäºå¹Žéåœè©²åå·ã䜿çšããªããšããåœè©²åå·ã®å»æ¢ã®ç»èš
#:äž ç»èšããåå·ã倿Žãããšããåœè©²åå·ã®å€æŽã®ç»èš
#:å åå·ã®ç»èšã«ä¿ãå¶æ¥æã移転ãããšããåœè©²å¶æ¥æã®ç§»è»¢ã®ç»èš
# åé
ã®èŠå®ã«ãã€ãŠåå·ã®ç»èšã®æ¹æ¶ãç³è«ããè
ã¯ãç³è«æžã«åœè©²åå·ã®ç»èšã«ä¿ãå¶æ¥æã®æåšå Žæã«ãããŠåäžã®åå·ã䜿çšããããšããè
ã§ããããšã蚌ããæžé¢ãæ·»ä»ããªããã°ãªããªãã
# [[忥ç»èšæ³ç¬¬135æ¡|第135æ¡]]ãã[[忥ç»èšæ³ç¬¬137æ¡|第137æ¡]]ãŸã§ã®èŠå®ã¯ã第1é
ã®ç³è«ããã€ãå Žåã«æºçšããã
# ç»èšå®ã¯ãåé
ã«ãããŠæºçšãã[[忥ç»èšæ³ç¬¬136æ¡|第136æ¡]]ã®èŠå®ã«ããç°è°ãçç±ããããšããæ±ºå®ããããšãã¯ã第1é
ã®ç³è«ãåŽäžããªããã°ãªããªãã
==解説==
;3é
:第135æ¡ïŒè·æš©æ¹æ¶ïŒ
:第136æ¡ïŒè·æš©æ¹æ¶ïŒ
:第137æ¡ïŒè·æš©æ¹æ¶ïŒ
==åç
§æ¡æ==
==å€äŸ==
----
{{ååŸ
|[[ã³ã³ã¡ã³ã¿ãŒã«åæ¥ç»èšæ³|忥ç»èšæ³]]
|[[ã³ã³ã¡ã³ã¿ãŒã«åæ¥ç»èšæ³#3|第3ç« ç»èšæç¶]]<br>
[[ã³ã³ã¡ã³ã¿ãŒã«åæ¥ç»èšæ³#3-2|第2ç¯ åå·ã®ç»èš]]
|[[忥ç»èšæ³ç¬¬32æ¡]]<br>ïŒçžç¶äººã«ããç»èšïŒ
|[[忥ç»èšæ³ç¬¬34æ¡]]<br>ïŒäŒç€Ÿã®åå·ã®ç»èšïŒ
}}
{{stub}}
[[category:忥ç»èšæ³|033]]
| null |
2010-12-04T09:51:42Z
|
[
"ãã³ãã¬ãŒã:ååŸ",
"ãã³ãã¬ãŒã:Stub"
] |
https://ja.wikibooks.org/wiki/%E5%95%86%E6%A5%AD%E7%99%BB%E8%A8%98%E6%B3%95%E7%AC%AC33%E6%9D%A1
|
15,102 |
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|
æ³åŠ>æ°äºæ³>忥ç»èšæ³>ã³ã³ã¡ã³ã¿ãŒã«åæ¥ç»èšæ³
(ç³è«äºº)
|
[
{
"paragraph_id": 0,
"tag": "p",
"text": "æ³åŠ>æ°äºæ³>忥ç»èšæ³>ã³ã³ã¡ã³ã¿ãŒã«åæ¥ç»èšæ³",
"title": ""
},
{
"paragraph_id": 1,
"tag": "p",
"text": "(ç³è«äºº)",
"title": "æ¡æ"
}
] |
æ³åŠïŒæ°äºæ³ïŒåæ¥ç»èšæ³ïŒã³ã³ã¡ã³ã¿ãŒã«åæ¥ç»èšæ³
|
[[æ³åŠ]]ïŒ[[æ°äºæ³]]ïŒ[[忥ç»èšæ³]]ïŒ[[ã³ã³ã¡ã³ã¿ãŒã«åæ¥ç»èšæ³]]
==æ¡æ==
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# åŸèŠäººã®ç»èšã¯ãåŸèŠäººã®ç³è«ã«ãã€ãŠããã
# æªæå¹Žè¢«åŸèŠäººãæå¹Žã«éããããšã«ããæ¶æ»
ã®ç»èšã¯ããã®è
ãç³è«ããããšãã§ãããæå¹Žè¢«åŸèŠäººã«ã€ããŠåŸèŠéå§ã®å¯©å€ãåãæ¶ãããããšã«ããæ¶æ»
ã®ç»èšã®ç³è«ã«ã€ããŠããåæ§ãšããã
# åŸèŠäººã®éä»»ã«ããæ¶æ»
ã®ç»èšã¯ãæ°åŸèŠäººãç³è«ããããšãã§ããã
==解説==
==åç
§æ¡æ==
==å€äŸ==
----
{{ååŸ
|[[ã³ã³ã¡ã³ã¿ãŒã«åæ¥ç»èšæ³|忥ç»èšæ³]]
|[[ã³ã³ã¡ã³ã¿ãŒã«åæ¥ç»èšæ³#3|第3ç« ç»èšæç¶]]<br>
[[ã³ã³ã¡ã³ã¿ãŒã«åæ¥ç»èšæ³#3-3|第3ç¯ æªæå¹Žè
åã³åŸèŠäººã®ç»èš]]
|[[忥ç»èšæ³ç¬¬40æ¡]]<br>ïŒåŸèŠäººç»èšã®ç»èšäºé
çïŒ
|[[忥ç»èšæ³ç¬¬42æ¡]]<br>ïŒæ·»ä»æžé¢ïŒ
}}
{{stub}}
[[category:忥ç»èšæ³|041]]
| null |
2010-11-12T20:47:55Z
|
[
"ãã³ãã¬ãŒã:ååŸ",
"ãã³ãã¬ãŒã:Stub"
] |
https://ja.wikibooks.org/wiki/%E5%95%86%E6%A5%AD%E7%99%BB%E8%A8%98%E6%B3%95%E7%AC%AC41%E6%9D%A1
|
15,103 |
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|
æ³åŠ>æ°äºæ³>忥ç»èšæ³>ã³ã³ã¡ã³ã¿ãŒã«åæ¥ç»èšæ³
(å䜵ã®ç»èš)
|
[
{
"paragraph_id": 0,
"tag": "p",
"text": "æ³åŠ>æ°äºæ³>忥ç»èšæ³>ã³ã³ã¡ã³ã¿ãŒã«åæ¥ç»èšæ³",
"title": ""
},
{
"paragraph_id": 1,
"tag": "p",
"text": "(å䜵ã®ç»èš)",
"title": "æ¡æ"
}
] |
æ³åŠïŒæ°äºæ³ïŒåæ¥ç»èšæ³ïŒã³ã³ã¡ã³ã¿ãŒã«åæ¥ç»èšæ³
|
[[æ³åŠ]]ïŒ[[æ°äºæ³]]ïŒ[[忥ç»èšæ³]]ïŒ[[ã³ã³ã¡ã³ã¿ãŒã«åæ¥ç»èšæ³]]
==æ¡æ==
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;第82æ¡
# å䜵ã«ããè§£æ£ã®ç»èšã®ç³è«ã«ã€ããŠã¯ãåžåå䜵åŸåç¶ããäŒç€ŸïŒä»¥äžãåžåå䜵åç¶äŒç€ŸããšãããïŒåã¯æ°èšå䜵ã«ããèšç«ããäŒç€ŸïŒä»¥äžãæ°èšå䜵èšç«äŒç€ŸããšãããïŒã代衚ãã¹ãè
ãåžååäœµæ¶æ»
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# æ¬åºã®æåšå°ã«ãããåé
ã®ç»èšã®ç³è«ã¯ãåœè©²ç»èšæã®ç®¡èœåºåå
ã«åžåå䜵åç¶äŒç€Ÿåã¯æ°èšå䜵èšç«äŒç€Ÿã®æ¬åºããªããšãã¯ããã®æ¬åºã®æåšå°ã管èœããç»èšæãçµç±ããŠããªããã°ãªããªãã
# æ¬åºã®æåšå°ã«ããã第1é
ã®ç»èšã®ç³è«ãš[[忥ç»èšæ³ç¬¬80æ¡|第80æ¡]]åã¯åæ¡ã®ç»èšã®ç³è«ãšã¯ãåæã«ããªããã°ãªããªãã
# ç³è«æžã®æ·»ä»æžé¢ã«é¢ããèŠå®äžŠã³ã«[[忥ç»èšæ³ç¬¬20æ¡|第20æ¡]]第1é
åã³ç¬¬2é
ã®èŠå®ã¯ãæ¬åºã®æåšå°ã«ããã第1é
ã®ç»èšã®ç³è«ã«ã€ããŠã¯ãé©çšããªãã
==解説==
*第80æ¡ïŒå䜵ã®ç»èšïŒ
*第20æ¡ïŒå°éã®æåºïŒ
==åç
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==å€äŸ==
----
{{ååŸ
|[[ã³ã³ã¡ã³ã¿ãŒã«åæ¥ç»èšæ³|忥ç»èšæ³]]
|[[ã³ã³ã¡ã³ã¿ãŒã«åæ¥ç»èšæ³#3|第3ç« ç»èšæç¶]]<br>
[[ã³ã³ã¡ã³ã¿ãŒã«åæ¥ç»èšæ³#3-5|第5ç¯ æ ªåŒäŒç€Ÿã®ç»èš]]
|[[忥ç»èšæ³ç¬¬81æ¡]]<br>ïŒå䜵ã®ç»èšïŒ
|[[忥ç»èšæ³ç¬¬83æ¡]]<br>ïŒå䜵ã®ç»èšïŒ
}}
{{stub}}
[[category:忥ç»èšæ³|082]]
| null |
2011-06-04T01:28:23Z
|
[
"ãã³ãã¬ãŒã:Stub",
"ãã³ãã¬ãŒã:ååŸ"
] |
https://ja.wikibooks.org/wiki/%E5%95%86%E6%A5%AD%E7%99%BB%E8%A8%98%E6%B3%95%E7%AC%AC82%E6%9D%A1
|
15,104 |
忥ç»èšæ³ç¬¬128æ¡
|
æ³åŠ>æ°äºæ³>忥ç»èšæ³>ã³ã³ã¡ã³ã¿ãŒã«åæ¥ç»èšæ³
(ç³è«äºº)
|
[
{
"paragraph_id": 0,
"tag": "p",
"text": "æ³åŠ>æ°äºæ³>忥ç»èšæ³>ã³ã³ã¡ã³ã¿ãŒã«åæ¥ç»èšæ³",
"title": ""
},
{
"paragraph_id": 1,
"tag": "p",
"text": "(ç³è«äºº)",
"title": "æ¡æ"
}
] |
æ³åŠïŒæ°äºæ³ïŒåæ¥ç»èšæ³ïŒã³ã³ã¡ã³ã¿ãŒã«åæ¥ç»èšæ³
|
[[æ³åŠ]]ïŒ[[æ°äºæ³]]ïŒ[[忥ç»èšæ³]]ïŒ[[ã³ã³ã¡ã³ã¿ãŒã«åæ¥ç»èšæ³]]
==æ¡æ==
ïŒç³è«äººïŒ
;第128æ¡
: å€åœäŒç€Ÿã®ç»èšã®ç³è«ã«ã€ããŠã¯ãæ¥æ¬ã«ããã代衚è
ãå€åœäŒç€Ÿã代衚ããã
==解説==
==åç
§æ¡æ==
==å€äŸ==
----
{{ååŸ
|[[ã³ã³ã¡ã³ã¿ãŒã«åæ¥ç»èšæ³|忥ç»èšæ³]]
|[[ã³ã³ã¡ã³ã¿ãŒã«åæ¥ç»èšæ³#3|第3ç« ç»èšæç¶]]<br>
[[ã³ã³ã¡ã³ã¿ãŒã«åæ¥ç»èšæ³#3-9|第9ç¯ å€åœäŒç€Ÿã®ç»èš]]
|[[忥ç»èšæ³ç¬¬127æ¡]]<br>ïŒç®¡èœã®ç¹äŸïŒ
|[[忥ç»èšæ³ç¬¬129æ¡]]<br>ïŒå€åœäŒç€Ÿã®ç»èšïŒ
}}
{{stub}}
[[category:忥ç»èšæ³|128]]
| null |
2010-11-12T21:00:50Z
|
[
"ãã³ãã¬ãŒã:Stub",
"ãã³ãã¬ãŒã:ååŸ"
] |
https://ja.wikibooks.org/wiki/%E5%95%86%E6%A5%AD%E7%99%BB%E8%A8%98%E6%B3%95%E7%AC%AC128%E6%9D%A1
|
15,105 |
忥ç»èšæ³ç¬¬15æ¡
|
æ³åŠ>æ°äºæ³>忥ç»èšæ³>ã³ã³ã¡ã³ã¿ãŒã«åæ¥ç»èšæ³
(å±èšã«ããç»èš)
|
[
{
"paragraph_id": 0,
"tag": "p",
"text": "æ³åŠ>æ°äºæ³>忥ç»èšæ³>ã³ã³ã¡ã³ã¿ãŒã«åæ¥ç»èšæ³",
"title": ""
},
{
"paragraph_id": 1,
"tag": "p",
"text": "(å±èšã«ããç»èš)",
"title": "æ¡æ"
}
] |
æ³åŠïŒæ°äºæ³ïŒåæ¥ç»èšæ³ïŒã³ã³ã¡ã³ã¿ãŒã«åæ¥ç»èšæ³
|
[[æ³åŠ]]ïŒ[[æ°äºæ³]]ïŒ[[忥ç»èšæ³]]ïŒ[[ã³ã³ã¡ã³ã¿ãŒã«åæ¥ç»èšæ³]]
==æ¡æ==
ïŒå±èšã«ããç»èšïŒ
;第15æ¡
: [[忥ç»èšæ³ç¬¬5æ¡|第5æ¡]]ã[[忥ç»èšæ³ç¬¬17æ¡|第17æ¡]]ãã[[忥ç»èšæ³ç¬¬19æ¡ã®2|第19æ¡ã®2]]ãŸã§ã[[忥ç»èšæ³ç¬¬21æ¡|第21æ¡]]ã[[忥ç»èšæ³ç¬¬22æ¡|第22æ¡]]ã[[忥ç»èšæ³ç¬¬23æ¡ã®2|第23æ¡ã®2]]ã[[忥ç»èšæ³ç¬¬24æ¡|第24æ¡]]ã[[忥ç»èšæ³ç¬¬48æ¡|第48æ¡]]ãã[[忥ç»èšæ³ç¬¬50æ¡|第50æ¡]]ãŸã§ïŒ[[忥ç»èšæ³ç¬¬95æ¡|第95æ¡]]ã[[忥ç»èšæ³ç¬¬111æ¡|第111æ¡]]åã³[[忥ç»èšæ³ç¬¬118æ¡|第118æ¡]]ã«ãããŠæºçšããå Žåãå«ããïŒã[[忥ç»èšæ³ç¬¬51æ¡|第51æ¡]]第1é
åã³ç¬¬2é
ã[[忥ç»èšæ³ç¬¬52æ¡|第52æ¡]]ã[[忥ç»èšæ³ç¬¬78æ¡|第78æ¡]]第1é
åã³ç¬¬3é
ã[[忥ç»èšæ³ç¬¬82æ¡|第82æ¡]]第2é
åã³ç¬¬3é
ã[[忥ç»èšæ³ç¬¬83æ¡|第83æ¡]]ã[[忥ç»èšæ³ç¬¬87æ¡|第87æ¡]]第1é
åã³ç¬¬2é
ã[[忥ç»èšæ³ç¬¬88æ¡|第88æ¡]]ã[[忥ç»èšæ³ç¬¬91æ¡|第91æ¡]]第1é
åã³ç¬¬2é
ã[[忥ç»èšæ³ç¬¬92æ¡|第92æ¡]]ã[[忥ç»èšæ³ç¬¬132æ¡|第132æ¡]]䞊ã³ã«[[忥ç»èšæ³ç¬¬134æ¡|第134æ¡]]ã®èŠå®ã¯ãå®åºã®å±èšã«ããç»èšã®æç¶ã«ã€ããŠæºçšããã
==解説==
==åç
§æ¡æ==
==å€äŸ==
----
{{ååŸ
|[[ã³ã³ã¡ã³ã¿ãŒã«åæ¥ç»èšæ³|忥ç»èšæ³]]
|[[ã³ã³ã¡ã³ã¿ãŒã«åæ¥ç»èšæ³#3|第3ç« ç»èšæç¶]]<br>
[[ã³ã³ã¡ã³ã¿ãŒã«åæ¥ç»èšæ³#3-1|第1ç¯ éå]]
|[[忥ç»èšæ³ç¬¬14æ¡]]<br>ïŒåœäºè
ç³è«äž»çŸ©ïŒ
|[[忥ç»èšæ³ç¬¬16æ¡]]<br>ïŒå±èšã«ããç»èšïŒ
}}
{{stub}}
[[category:忥ç»èšæ³|015]]
| null |
2010-11-12T21:12:05Z
|
[
"ãã³ãã¬ãŒã:ååŸ",
"ãã³ãã¬ãŒã:Stub"
] |
https://ja.wikibooks.org/wiki/%E5%95%86%E6%A5%AD%E7%99%BB%E8%A8%98%E6%B3%95%E7%AC%AC15%E6%9D%A1
|
15,106 |
忥ç»èšæ³ç¬¬23æ¡ã®2
|
æ³åŠ>æ°äºæ³>忥ç»èšæ³>ã³ã³ã¡ã³ã¿ãŒã«åæ¥ç»èšæ³
(ç»èšå®ã«ããæ¬äººç¢ºèª)
|
[
{
"paragraph_id": 0,
"tag": "p",
"text": "æ³åŠ>æ°äºæ³>忥ç»èšæ³>ã³ã³ã¡ã³ã¿ãŒã«åæ¥ç»èšæ³",
"title": ""
},
{
"paragraph_id": 1,
"tag": "p",
"text": "(ç»èšå®ã«ããæ¬äººç¢ºèª)",
"title": "æ¡æ"
}
] |
æ³åŠïŒæ°äºæ³ïŒåæ¥ç»èšæ³ïŒã³ã³ã¡ã³ã¿ãŒã«åæ¥ç»èšæ³
|
[[æ³åŠ]]ïŒ[[æ°äºæ³]]ïŒ[[忥ç»èšæ³]]ïŒ[[ã³ã³ã¡ã³ã¿ãŒã«åæ¥ç»èšæ³]]
==æ¡æ==
ïŒç»èšå®ã«ããæ¬äººç¢ºèªïŒ
;第23æ¡ã®2
# ç»èšå®ã¯ãç»èšã®ç³è«ããã€ãå Žåã«ãããŠãç³è«äººãšãªãã¹ãè
以å€ã®è
ãç³è«ããŠãããšçãã«è¶³ããçžåœãªçç±ããããšèªãããšãã¯ã次æ¡ã®èŠå®ã«ããåœè©²ç³è«ãåŽäžãã¹ãå Žåãé€ããç³è«äººåã¯ãã®ä»£è¡šè
è¥ããã¯ä»£ç人ã«å¯Ÿããåºé ãæ±ãã質åãããåã¯ææžã®æç€ºãã®ä»å¿
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# ç»èšå®ã¯ãåé
ã«èŠå®ããç³è«äººåã¯ãã®ä»£è¡šè
è¥ããã¯ä»£ç人ãé éã®å°ã«å±
äœããŠãããšãããã®ä»çžåœãšèªãããšãã¯ãä»ã®ç»èšæã®ç»èšå®ã«åé
ã®èª¿æ»ãå±èšããããšãã§ããã
==解説==
==åç
§æ¡æ==
==å€äŸ==
----
{{ååŸ
|[[ã³ã³ã¡ã³ã¿ãŒã«åæ¥ç»èšæ³|忥ç»èšæ³]]
|[[ã³ã³ã¡ã³ã¿ãŒã«åæ¥ç»èšæ³#3|第3ç« ç»èšæç¶]]<br>
[[ã³ã³ã¡ã³ã¿ãŒã«åæ¥ç»èšæ³#3-1|第1ç¯ éå]]
|[[忥ç»èšæ³ç¬¬23æ¡]]<br>ïŒç»èšã®é åºïŒ
|[[忥ç»èšæ³ç¬¬24æ¡]]<br>ïŒç³è«ã®åŽäžïŒ
}}
{{stub}}
[[category:忥ç»èšæ³|023ã®2]]
| null |
2010-11-12T21:15:48Z
|
[
"ãã³ãã¬ãŒã:ååŸ",
"ãã³ãã¬ãŒã:Stub"
] |
https://ja.wikibooks.org/wiki/%E5%95%86%E6%A5%AD%E7%99%BB%E8%A8%98%E6%B3%95%E7%AC%AC23%E6%9D%A1%E3%81%AE2
|
15,108 |
忥ç»èšæ³ç¬¬107æ¡
|
æ³åŠ>æ°äºæ³>忥ç»èšæ³>ã³ã³ã¡ã³ã¿ãŒã«åæ¥ç»èšæ³
(çµç¹å€æŽã®ç»èš)
|
[
{
"paragraph_id": 0,
"tag": "p",
"text": "æ³åŠ>æ°äºæ³>忥ç»èšæ³>ã³ã³ã¡ã³ã¿ãŒã«åæ¥ç»èšæ³",
"title": ""
},
{
"paragraph_id": 1,
"tag": "p",
"text": "(çµç¹å€æŽã®ç»èš)",
"title": "æ¡æ"
}
] |
æ³åŠïŒæ°äºæ³ïŒåæ¥ç»èšæ³ïŒã³ã³ã¡ã³ã¿ãŒã«åæ¥ç»èšæ³
|
[[æ³åŠ]]ïŒ[[æ°äºæ³]]ïŒ[[忥ç»èšæ³]]ïŒ[[ã³ã³ã¡ã³ã¿ãŒã«åæ¥ç»èšæ³]]
==æ¡æ==
ïŒçµç¹å€æŽã®ç»èšïŒ
;第107æ¡
# ååäŒç€Ÿãçµç¹å€æŽãããå Žåã®çµç¹å€æŽåŸã®æ ªåŒäŒç€Ÿã«ã€ããŠããç»èšã®ç³è«æžã«ã¯ãæ¬¡ã®æžé¢ãæ·»ä»ããªããã°ãªããªãã
#:äž çµç¹å€æŽèšç»æž
#:äº å®æ¬Ÿ
#:äž çµç¹å€æŽåŸã®æ ªåŒäŒç€Ÿã®åç· åœ¹ïŒçµç¹å€æŽåŸã®æ ªåŒäŒç€Ÿãç£æ»åœ¹èšçœ®äŒç€ŸïŒç£æ»åœ¹ã®ç£æ»ã®ç¯å²ãäŒèšã«é¢ãããã®ã«éå®ããæšã®å®æ¬Ÿã®å®ããããæ ªåŒäŒç€Ÿãå«ããïŒã§ããå Žåã«ãã€ãŠã¯ãåç· åœ¹åã³ç£æ»åœ¹ïŒãå°±ä»»ãæ¿è«Ÿããããšã蚌ããæžé¢
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åå·ã«æ²ããæžé¢
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第å
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ïŒç¬¬äºå·ãé€ããïŒã®èŠå®ã«ããå
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ã害ãããããããªãããšã蚌ããæžé¢
# [[忥ç»èšæ³ç¬¬76æ¡|第76æ¡]]åã³[[忥ç»èšæ³ç¬¬78æ¡|第78æ¡]]ã®èŠå®ã¯ãåé
ã«èŠå®ããå Žåã«ã€ããŠæºçšããã
==解説==
==åç
§æ¡æ==
==å€äŸ==
----
{{ååŸ
|[[ã³ã³ã¡ã³ã¿ãŒã«åæ¥ç»èšæ³|忥ç»èšæ³]]
|[[ã³ã³ã¡ã³ã¿ãŒã«åæ¥ç»èšæ³#3|第3ç« ç»èšæç¶]]<br>
[[ã³ã³ã¡ã³ã¿ãŒã«åæ¥ç»èšæ³#3-6|第6ç¯ ååäŒç€Ÿã®ç»èš]]
|[[忥ç»èšæ³ç¬¬106æ¡]]<br>ïŒæåäŒç€Ÿã®çš®é¡ã®å€æŽã®ç»èšïŒ
|[[忥ç»èšæ³ç¬¬108æ¡]]<br>ïŒå䜵ã®ç»èšïŒ
}}
{{stub}}
[[category:忥ç»èšæ³|107]]
| null |
2010-11-13T08:53:58Z
|
[
"ãã³ãã¬ãŒã:ååŸ",
"ãã³ãã¬ãŒã:Stub"
] |
https://ja.wikibooks.org/wiki/%E5%95%86%E6%A5%AD%E7%99%BB%E8%A8%98%E6%B3%95%E7%AC%AC107%E6%9D%A1
|
15,109 |
忥ç»èšæ³ç¬¬78æ¡
|
æ³åŠ>æ°äºæ³>忥ç»èšæ³>ã³ã³ã¡ã³ã¿ãŒã«åæ¥ç»èšæ³
(çµç¹å€æŽã®ç»èš)
|
[
{
"paragraph_id": 0,
"tag": "p",
"text": "æ³åŠ>æ°äºæ³>忥ç»èšæ³>ã³ã³ã¡ã³ã¿ãŒã«åæ¥ç»èšæ³",
"title": ""
},
{
"paragraph_id": 1,
"tag": "p",
"text": "(çµç¹å€æŽã®ç»èš)",
"title": "æ¡æ"
}
] |
æ³åŠïŒæ°äºæ³ïŒåæ¥ç»èšæ³ïŒã³ã³ã¡ã³ã¿ãŒã«åæ¥ç»èšæ³
|
[[æ³åŠ]]ïŒ[[æ°äºæ³]]ïŒ[[忥ç»èšæ³]]ïŒ[[ã³ã³ã¡ã³ã¿ãŒã«åæ¥ç»èšæ³]]
==æ¡æ==
ïŒçµç¹å€æŽã®ç»èšïŒ
;第78æ¡
# æ ªåŒäŒç€Ÿãçµç¹å€æŽãããå Žåã®æ ªåŒäŒç€Ÿã«ã€ããŠã®ç»èšã®ç³è«ãšçµç¹å€æŽåŸã®æåäŒç€Ÿã«ã€ããŠã®ç»èšã®ç³è«ãšã¯ãåæã«ããªããã°ãªããªãã
# ç³è«æžã®æ·»ä»æžé¢ã«é¢ããèŠå®ã¯ãæ ªåŒäŒç€Ÿã«ã€ããŠã®åé
ã®ç»èšã®ç³è«ã«ã€ããŠã¯ãé©çšããªãã
# ç»èšå®ã¯ã第1é
ã®ç»èšã®ç³è«ã®ããããã«ã€ã[[忥ç»èšæ³ç¬¬24æ¡|第24æ¡]]åå·ã®ããããã«æ²ããäºç±ããããšãã¯ããããã®ç³è«ãå
±ã«åŽäžããªããã°ãªããªãã
==解説==
==åç
§æ¡æ==
==å€äŸ==
----
{{ååŸ
|[[ã³ã³ã¡ã³ã¿ãŒã«åæ¥ç»èšæ³|忥ç»èšæ³]]
|[[ã³ã³ã¡ã³ã¿ãŒã«åæ¥ç»èšæ³#3|第3ç« ç»èšæç¶]]<br>
[[ã³ã³ã¡ã³ã¿ãŒã«åæ¥ç»èšæ³#3-5|第5ç¯ æ ªåŒäŒç€Ÿã®ç»èš]]
|[[忥ç»èšæ³ç¬¬77æ¡]]<br>ïŒçµç¹å€æŽã®ç»èšïŒ
|[[忥ç»èšæ³ç¬¬79æ¡]]<br>ïŒå䜵ã®ç»èšïŒ
}}
{{stub}}
[[category:忥ç»èšæ³|078]]
| null |
2010-11-14T21:49:52Z
|
[
"ãã³ãã¬ãŒã:ååŸ",
"ãã³ãã¬ãŒã:Stub"
] |
https://ja.wikibooks.org/wiki/%E5%95%86%E6%A5%AD%E7%99%BB%E8%A8%98%E6%B3%95%E7%AC%AC78%E6%9D%A1
|
15,110 |
忥ç»èšæ³ç¬¬51æ¡
|
æ³åŠ>æ°äºæ³>忥ç»èšæ³>ã³ã³ã¡ã³ã¿ãŒã«åæ¥ç»èšæ³
(æ¬åºç§»è»¢ã®ç»èš)
|
[
{
"paragraph_id": 0,
"tag": "p",
"text": "æ³åŠ>æ°äºæ³>忥ç»èšæ³>ã³ã³ã¡ã³ã¿ãŒã«åæ¥ç»èšæ³",
"title": ""
},
{
"paragraph_id": 1,
"tag": "p",
"text": "(æ¬åºç§»è»¢ã®ç»èš)",
"title": "æ¡æ"
}
] |
æ³åŠïŒæ°äºæ³ïŒåæ¥ç»èšæ³ïŒã³ã³ã¡ã³ã¿ãŒã«åæ¥ç»èšæ³
|
[[æ³åŠ]]ïŒ[[æ°äºæ³]]ïŒ[[忥ç»èšæ³]]ïŒ[[ã³ã³ã¡ã³ã¿ãŒã«åæ¥ç»èšæ³]]
==æ¡æ==
ïŒæ¬åºç§»è»¢ã®ç»èšïŒ
;第51æ¡
# æ¬åºãä»ã®ç»èšæã®ç®¡èœåºåå
ã«ç§»è»¢ããå Žåã®æ°æåšå°ã«ãããç»èšã®ç³è«ã¯ãæ§æåšå°ã管èœããç»èšæãçµç±ããŠããªããã°ãªããªãã[[忥ç»èšæ³ç¬¬20æ¡|第20æ¡]]第1é
åã¯ç¬¬2é
ã®èŠå®ã«ããæ°æåšå°ã管èœããç»èšæã«ããå°éã®æåºããåæ§ãšããã
# åé
ã®ç»èšã®ç³è«ãšæ§æåšå°ã«ãããç»èšã®ç³è«ãšã¯ãåæã«ããªããã°ãªããªãã
# 第1é
ã®ç»èšã®ç³è«æžã«ã¯ã[[忥ç»èšæ³ç¬¬18æ¡|第18æ¡]]ã®æžé¢ãé€ããä»ã®æžé¢ã®æ·»ä»ãèŠããªãã
==解説==
*第20æ¡ïŒå°éã®æåºïŒ
*第18æ¡ïŒç³è«æžã®æ·»ä»æžé¢ïŒ
==åç
§æ¡æ==
*[[忥ç»èšæ³ç¬¬131æ¡]]ïŒæºçšèŠå®ïŒ
==å€äŸ==
----
{{ååŸ
|[[ã³ã³ã¡ã³ã¿ãŒã«åæ¥ç»èšæ³|忥ç»èšæ³]]
|[[ã³ã³ã¡ã³ã¿ãŒã«åæ¥ç»èšæ³#3|第3ç« ç»èšæç¶]]<br>
[[ã³ã³ã¡ã³ã¿ãŒã«åæ¥ç»èšæ³#3-5|第5ç¯ æ ªåŒäŒç€Ÿã®ç»èš]]
|[[忥ç»èšæ³ç¬¬50æ¡]]<br>ïŒæ¯åºæåšå°ã«ãããç»èšïŒ
|[[忥ç»èšæ³ç¬¬52æ¡]]<br>ïŒæ¬åºç§»è»¢ã®ç»èšïŒ
}}
{{stub}}
[[category:忥ç»èšæ³|051]]
| null |
2011-03-10T23:00:10Z
|
[
"ãã³ãã¬ãŒã:Stub",
"ãã³ãã¬ãŒã:ååŸ"
] |
https://ja.wikibooks.org/wiki/%E5%95%86%E6%A5%AD%E7%99%BB%E8%A8%98%E6%B3%95%E7%AC%AC51%E6%9D%A1
|
15,111 |
忥ç»èšæ³ç¬¬95æ¡
|
æ³åŠ>æ°äºæ³>忥ç»èšæ³>ã³ã³ã¡ã³ã¿ãŒã«åæ¥ç»èšæ³
(æºçšèŠå®)
|
[
{
"paragraph_id": 0,
"tag": "p",
"text": "æ³åŠ>æ°äºæ³>忥ç»èšæ³>ã³ã³ã¡ã³ã¿ãŒã«åæ¥ç»èšæ³",
"title": ""
},
{
"paragraph_id": 1,
"tag": "p",
"text": "(æºçšèŠå®)",
"title": "æ¡æ"
}
] |
æ³åŠïŒæ°äºæ³ïŒåæ¥ç»èšæ³ïŒã³ã³ã¡ã³ã¿ãŒã«åæ¥ç»èšæ³
|
[[æ³åŠ]]ïŒ[[æ°äºæ³]]ïŒ[[忥ç»èšæ³]]ïŒ[[ã³ã³ã¡ã³ã¿ãŒã«åæ¥ç»èšæ³]]
==æ¡æ==
ïŒæºçšèŠå®ïŒ
;第95æ¡
: [[忥ç»èšæ³ç¬¬47æ¡|第47æ¡]]第1é
åã³[[忥ç»èšæ³ç¬¬48æ¡|第48æ¡]]ãã[[忥ç»èšæ³ç¬¬53æ¡|第53æ¡]]ãŸã§ã®èŠå®ã¯ãååäŒç€Ÿã®ç»èšã«ã€ããŠæºçšããã
==解説==
==åç
§æ¡æ==
==å€äŸ==
----
{{ååŸ
|[[ã³ã³ã¡ã³ã¿ãŒã«åæ¥ç»èšæ³|忥ç»èšæ³]]
|[[ã³ã³ã¡ã³ã¿ãŒã«åæ¥ç»èšæ³#3|第3ç« ç»èšæç¶]]<br>
[[ã³ã³ã¡ã³ã¿ãŒã«åæ¥ç»èšæ³#3-6|第6ç¯ ååäŒç€Ÿã®ç»èš]]
|[[忥ç»èšæ³ç¬¬94æ¡]]<br>ïŒèšç«ã®ç»èšïŒ
|[[忥ç»èšæ³ç¬¬96æ¡]]<br>ïŒç€Ÿå¡ã®å å
¥åã¯é瀟çã«ãã倿Žã®ç»èšïŒ
}}
{{stub}}
[[category:忥ç»èšæ³|095]]
| null |
2010-11-14T21:50:39Z
|
[
"ãã³ãã¬ãŒã:ååŸ",
"ãã³ãã¬ãŒã:Stub"
] |
https://ja.wikibooks.org/wiki/%E5%95%86%E6%A5%AD%E7%99%BB%E8%A8%98%E6%B3%95%E7%AC%AC95%E6%9D%A1
|
15,113 |
忥ç»èšæ³ç¬¬111æ¡
|
æ³åŠ>æ°äºæ³>忥ç»èšæ³>ã³ã³ã¡ã³ã¿ãŒã«åæ¥ç»èšæ³
(æºçšèŠå®)
|
[
{
"paragraph_id": 0,
"tag": "p",
"text": "æ³åŠ>æ°äºæ³>忥ç»èšæ³>ã³ã³ã¡ã³ã¿ãŒã«åæ¥ç»èšæ³",
"title": ""
},
{
"paragraph_id": 1,
"tag": "p",
"text": "(æºçšèŠå®)",
"title": "æ¡æ"
}
] |
æ³åŠïŒæ°äºæ³ïŒåæ¥ç»èšæ³ïŒã³ã³ã¡ã³ã¿ãŒã«åæ¥ç»èšæ³
|
[[æ³åŠ]]ïŒ[[æ°äºæ³]]ïŒ[[忥ç»èšæ³]]ïŒ[[ã³ã³ã¡ã³ã¿ãŒã«åæ¥ç»èšæ³]]
==æ¡æ==
ïŒæºçšèŠå®ïŒ
;第111æ¡
: [[忥ç»èšæ³ç¬¬47æ¡|第47æ¡]]第1é
ã[[忥ç»èšæ³ç¬¬48æ¡|第48æ¡]]ãã[[忥ç»èšæ³ç¬¬53æ¡|第53æ¡]]ãŸã§ã[[忥ç»èšæ³ç¬¬93æ¡|第93æ¡]]ã[[忥ç»èšæ³ç¬¬94æ¡|第94æ¡]]åã³[[忥ç»èšæ³ç¬¬96æ¡|第96æ¡]]ãã[[忥ç»èšæ³ç¬¬103æ¡|第103æ¡]]ãŸã§ã®èŠå®ã¯ãåè³äŒç€Ÿã®ç»èšã«ã€ããŠæºçšããã
==解説==
==åç
§æ¡æ==
==å€äŸ==
----
{{ååŸ
|[[ã³ã³ã¡ã³ã¿ãŒã«åæ¥ç»èšæ³|忥ç»èšæ³]]
|[[ã³ã³ã¡ã³ã¿ãŒã«åæ¥ç»èšæ³#3|第3ç« ç»èšæç¶]]<br>
[[ã³ã³ã¡ã³ã¿ãŒã«åæ¥ç»èšæ³#3-7|第7ç¯ åè³äŒç€Ÿã®ç»èš]]
|[[忥ç»èšæ³ç¬¬110æ¡]]<br>ïŒèšç«ã®ç»èšïŒ
|[[忥ç»èšæ³ç¬¬112æ¡]]<br>ïŒåºè³å±¥è¡ã®ç»èšïŒ
}}
{{stub}}
[[category:忥ç»èšæ³|111]]
| null |
2010-11-14T02:57:40Z
|
[
"ãã³ãã¬ãŒã:ååŸ",
"ãã³ãã¬ãŒã:Stub"
] |
https://ja.wikibooks.org/wiki/%E5%95%86%E6%A5%AD%E7%99%BB%E8%A8%98%E6%B3%95%E7%AC%AC111%E6%9D%A1
|
15,114 |
忥ç»èšæ³ç¬¬118æ¡
|
æ³åŠ>æ°äºæ³>忥ç»èšæ³>ã³ã³ã¡ã³ã¿ãŒã«åæ¥ç»èšæ³
(æºçšèŠå®)
|
[
{
"paragraph_id": 0,
"tag": "p",
"text": "æ³åŠ>æ°äºæ³>忥ç»èšæ³>ã³ã³ã¡ã³ã¿ãŒã«åæ¥ç»èšæ³",
"title": ""
},
{
"paragraph_id": 1,
"tag": "p",
"text": "(æºçšèŠå®)",
"title": "æ¡æ"
}
] |
æ³åŠïŒæ°äºæ³ïŒåæ¥ç»èšæ³ïŒã³ã³ã¡ã³ã¿ãŒã«åæ¥ç»èšæ³
|
[[æ³åŠ]]ïŒ[[æ°äºæ³]]ïŒ[[忥ç»èšæ³]]ïŒ[[ã³ã³ã¡ã³ã¿ãŒã«åæ¥ç»èšæ³]]
==æ¡æ==
ïŒæºçšèŠå®ïŒ
;第118æ¡
: [[忥ç»èšæ³ç¬¬47æ¡|第47æ¡]]第1é
ã[[忥ç»èšæ³ç¬¬48æ¡|第48æ¡]]ãã[[忥ç»èšæ³ç¬¬53æ¡|第53æ¡]]ãŸã§ã[[忥ç»èšæ³ç¬¬93æ¡|第93æ¡]]ã[[忥ç»èšæ³ç¬¬94æ¡|第94æ¡]]ã[[忥ç»èšæ³ç¬¬96æ¡|第96æ¡]]ãã[[忥ç»èšæ³ç¬¬101æ¡|第101æ¡]]ãŸã§åã³[[忥ç»èšæ³ç¬¬103æ¡|第103æ¡]]ã®èŠå®ã¯ãååäŒç€Ÿã®ç»èšã«ã€ããŠæºçšããã
==解説==
==åç
§æ¡æ==
==å€äŸ==
----
{{ååŸ
|[[ã³ã³ã¡ã³ã¿ãŒã«åæ¥ç»èšæ³|忥ç»èšæ³]]
|[[ã³ã³ã¡ã³ã¿ãŒã«åæ¥ç»èšæ³#3|第3ç« ç»èšæç¶]]<br>
[[ã³ã³ã¡ã³ã¿ãŒã«åæ¥ç»èšæ³#3-7|第8ç¯ ååäŒç€Ÿã®ç»èš]]
|[[忥ç»èšæ³ç¬¬117æ¡]]<br>ïŒèšç«ã®ç»èšïŒ
|[[忥ç»èšæ³ç¬¬119æ¡]]<br>ïŒç€Ÿå¡ã®å å
¥ã«ãã倿Žã®ç»èšïŒ
}}
{{stub}}
[[category:忥ç»èšæ³|118]]
| null |
2010-11-14T03:02:19Z
|
[
"ãã³ãã¬ãŒã:ååŸ",
"ãã³ãã¬ãŒã:Stub"
] |
https://ja.wikibooks.org/wiki/%E5%95%86%E6%A5%AD%E7%99%BB%E8%A8%98%E6%B3%95%E7%AC%AC118%E6%9D%A1
|
15,115 |
忥ç»èšæ³ç¬¬114æ¡
|
æ³åŠ>æ°äºæ³>忥ç»èšæ³>ã³ã³ã¡ã³ã¿ãŒã«åæ¥ç»èšæ³
(çµç¹å€æŽã®ç»èš)
|
[
{
"paragraph_id": 0,
"tag": "p",
"text": "æ³åŠ>æ°äºæ³>忥ç»èšæ³>ã³ã³ã¡ã³ã¿ãŒã«åæ¥ç»èšæ³",
"title": ""
},
{
"paragraph_id": 1,
"tag": "p",
"text": "(çµç¹å€æŽã®ç»èš)",
"title": "æ¡æ"
}
] |
æ³åŠïŒæ°äºæ³ïŒåæ¥ç»èšæ³ïŒã³ã³ã¡ã³ã¿ãŒã«åæ¥ç»èšæ³
|
[[æ³åŠ]]ïŒ[[æ°äºæ³]]ïŒ[[忥ç»èšæ³]]ïŒ[[ã³ã³ã¡ã³ã¿ãŒã«åæ¥ç»èšæ³]]
==æ¡æ==
ïŒçµç¹å€æŽã®ç»èšïŒ
;第114æ¡
: [[忥ç»èšæ³ç¬¬107æ¡|第107æ¡]]ã®èŠå®ã¯ãåè³äŒç€Ÿãçµç¹å€æŽãããå Žåã«ã€ããŠæºçšããã
==解説==
==åç
§æ¡æ==
==å€äŸ==
----
{{ååŸ
|[[ã³ã³ã¡ã³ã¿ãŒã«åæ¥ç»èšæ³|忥ç»èšæ³]]
|[[ã³ã³ã¡ã³ã¿ãŒã«åæ¥ç»èšæ³#3|第3ç« ç»èšæç¶]]<br>
[[ã³ã³ã¡ã³ã¿ãŒã«åæ¥ç»èšæ³#3-7|第7ç¯ åè³äŒç€Ÿã®ç»èš]]
|[[忥ç»èšæ³ç¬¬113æ¡]]<br>ïŒæåäŒç€Ÿã®çš®é¡ã®å€æŽã®ç»èšïŒ
|[[忥ç»èšæ³ç¬¬115æ¡]]<br>ïŒå䜵ã®ç»èšïŒ
}}
{{stub}}
[[category:忥ç»èšæ³|114]]
| null |
2010-11-14T03:06:34Z
|
[
"ãã³ãã¬ãŒã:Stub",
"ãã³ãã¬ãŒã:ååŸ"
] |
https://ja.wikibooks.org/wiki/%E5%95%86%E6%A5%AD%E7%99%BB%E8%A8%98%E6%B3%95%E7%AC%AC114%E6%9D%A1
|
15,116 |
忥ç»èšæ³ç¬¬123æ¡
|
æ³åŠ>æ°äºæ³>忥ç»èšæ³>ã³ã³ã¡ã³ã¿ãŒã«åæ¥ç»èšæ³
(çµç¹å€æŽã®ç»èš)
|
[
{
"paragraph_id": 0,
"tag": "p",
"text": "æ³åŠ>æ°äºæ³>忥ç»èšæ³>ã³ã³ã¡ã³ã¿ãŒã«åæ¥ç»èšæ³",
"title": ""
},
{
"paragraph_id": 1,
"tag": "p",
"text": "(çµç¹å€æŽã®ç»èš)",
"title": "æ¡æ"
}
] |
æ³åŠïŒæ°äºæ³ïŒåæ¥ç»èšæ³ïŒã³ã³ã¡ã³ã¿ãŒã«åæ¥ç»èšæ³
|
[[æ³åŠ]]ïŒ[[æ°äºæ³]]ïŒ[[忥ç»èšæ³]]ïŒ[[ã³ã³ã¡ã³ã¿ãŒã«åæ¥ç»èšæ³]]
==æ¡æ==
ïŒçµç¹å€æŽã®ç»èšïŒ
;第123æ¡
: [[忥ç»èšæ³ç¬¬107æ¡|第107æ¡]]ã®èŠå®ã¯ãååäŒç€Ÿãçµç¹å€æŽãããå Žåã«ã€ããŠæºçšããããã®å Žåã«ãããŠãåæ¡ç¬¬1é
第å
å·äžãå
¬ååã³å¬åããšããã®ã¯ããå
¬ååã³å¬åïŒ[[äŒç€Ÿæ³ç¬¬781æ¡|åæ³ç¬¬781æ¡]]第2é
ã«ãããŠæºçšãã[[äŒç€Ÿæ³ç¬¬779æ¡|åæ³ç¬¬779æ¡]]第3é
ã®èŠå®ã«ããå
¬åãå®å ±ã®ã»ãæäºã«é¢ããäºé
ãæ²èŒããæ¥åæ°èçŽåã¯é»åå
¬åã«ãã€ãŠããå Žåã«ãã€ãŠã¯ããããã®æ¹æ³ã«ããå
¬åïŒããšèªã¿æ¿ãããã®ãšããã
==解説==
==åç
§æ¡æ==
==å€äŸ==
----
{{ååŸ
|[[ã³ã³ã¡ã³ã¿ãŒã«åæ¥ç»èšæ³|忥ç»èšæ³]]
|[[ã³ã³ã¡ã³ã¿ãŒã«åæ¥ç»èšæ³#3|第3ç« ç»èšæç¶]]<br>
[[ã³ã³ã¡ã³ã¿ãŒã«åæ¥ç»èšæ³#3-8|第8ç¯ ååäŒç€Ÿã®ç»èš]]
|[[忥ç»èšæ³ç¬¬122æ¡]]<br>ïŒæåäŒç€Ÿã®çš®é¡ã®å€æŽã®ç»èšïŒ
|[[忥ç»èšæ³ç¬¬124æ¡]]<br>ïŒå䜵ã®ç»èšïŒ
}}
{{stub}}
[[category:忥ç»èšæ³|123]]
| null |
2010-11-14T08:22:13Z
|
[
"ãã³ãã¬ãŒã:ååŸ",
"ãã³ãã¬ãŒã:Stub"
] |
https://ja.wikibooks.org/wiki/%E5%95%86%E6%A5%AD%E7%99%BB%E8%A8%98%E6%B3%95%E7%AC%AC123%E6%9D%A1
|
15,117 |
忥ç»èšæ³ç¬¬108æ¡
|
æ³åŠ>æ°äºæ³>忥ç»èšæ³>ã³ã³ã¡ã³ã¿ãŒã«åæ¥ç»èšæ³
(å䜵ã®ç»èš)
|
[
{
"paragraph_id": 0,
"tag": "p",
"text": "æ³åŠ>æ°äºæ³>忥ç»èšæ³>ã³ã³ã¡ã³ã¿ãŒã«åæ¥ç»èšæ³",
"title": ""
},
{
"paragraph_id": 1,
"tag": "p",
"text": "(å䜵ã®ç»èš)",
"title": "æ¡æ"
}
] |
æ³åŠïŒæ°äºæ³ïŒåæ¥ç»èšæ³ïŒã³ã³ã¡ã³ã¿ãŒã«åæ¥ç»èšæ³
|
[[æ³åŠ]]ïŒ[[æ°äºæ³]]ïŒ[[忥ç»èšæ³]]ïŒ[[ã³ã³ã¡ã³ã¿ãŒã«åæ¥ç»èšæ³]]
==æ¡æ==
ïŒå䜵ã®ç»èšïŒ
;第108æ¡
# åžåå䜵ã«ãã倿Žã®ç»èšã®ç³è«æžã«ã¯ãæ¬¡ã®æžé¢ãæ·»ä»ããªããã°ãªããªãã
#:äž åžåå䜵å¥çŽæž
#:äº [[忥ç»èšæ³ç¬¬80æ¡|第80æ¡]]第äºå·ãã第åå·ãŸã§ã«æ²ããæžé¢
#:äž [[äŒç€Ÿæ³ç¬¬802æ¡]]第2é
ã«ãããŠæºçšãã[[äŒç€Ÿæ³ç¬¬799æ¡|åæ³ç¬¬799æ¡]]第2é
ïŒç¬¬äžå·ãé€ããïŒã®èŠå®ã«ããå
¬ååã³å¬åïŒåæ³ç¬¬802æ¡ç¬¬2é
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ä¿ãæäŸãè¥ããã¯åœè©²åµæš©è
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# æ°èšå䜵ã«ããèšç«ã®ç»èšã®ç³è«æžã«ã¯ãæ¬¡ã®æžé¢ãæ·»ä»ããªããã°ãªããªãã
#:äž æ°èšå䜵å¥çŽæž
#:äº å®æ¬Ÿ
#:äž [[忥ç»èšæ³ç¬¬81æ¡|第81æ¡]]第äºå·åã³ç¬¬äžå·ãã第åå·ãŸã§ã«æ²ããæžé¢
#:å æ°èšåäœµæ¶æ»
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#:äº æ³äººãæ°èšå䜵èšç«äŒç€Ÿã®ç€Ÿå¡ãšãªããšãã¯ã[[忥ç»èšæ³ç¬¬94æ¡|第94æ¡]]第äºå·åã¯ç¬¬äžå·ã«æ²ããæžé¢
# [[忥ç»èšæ³ç¬¬79æ¡|第79æ¡]]ã[[忥ç»èšæ³ç¬¬82æ¡|第82æ¡]]åã³[[忥ç»èšæ³ç¬¬83æ¡|第83æ¡]]ã®èŠå®ã¯ãååäŒç€Ÿã®ç»èšã«ã€ããŠæºçšããã
==解説==
==åç
§æ¡æ==
*[[忥ç»èšæ³ç¬¬124æ¡]]ïŒå䜵ã®ç»èšïŒ
==å€äŸ==
----
{{ååŸ
|[[ã³ã³ã¡ã³ã¿ãŒã«åæ¥ç»èšæ³|忥ç»èšæ³]]
|[[ã³ã³ã¡ã³ã¿ãŒã«åæ¥ç»èšæ³#3|第3ç« ç»èšæç¶]]<br>
[[ã³ã³ã¡ã³ã¿ãŒã«åæ¥ç»èšæ³#3-6|第6ç¯ ååäŒç€Ÿã®ç»èš]]
|[[忥ç»èšæ³ç¬¬107æ¡]]<br>ïŒçµç¹å€æŽã®ç»èšïŒ
|[[忥ç»èšæ³ç¬¬109æ¡]]<br>ïŒäŒç€Ÿåå²ã®ç»èšïŒ
}}
{{stub}}
[[category:忥ç»èšæ³|108]]
| null |
2011-02-12T08:34:00Z
|
[
"ãã³ãã¬ãŒã:ååŸ",
"ãã³ãã¬ãŒã:Stub"
] |
https://ja.wikibooks.org/wiki/%E5%95%86%E6%A5%AD%E7%99%BB%E8%A8%98%E6%B3%95%E7%AC%AC108%E6%9D%A1
|
15,118 |
忥ç»èšæ³ç¬¬115æ¡
|
æ³åŠ>æ°äºæ³>忥ç»èšæ³>ã³ã³ã¡ã³ã¿ãŒã«åæ¥ç»èšæ³
(å䜵ã®ç»èš)
|
[
{
"paragraph_id": 0,
"tag": "p",
"text": "æ³åŠ>æ°äºæ³>忥ç»èšæ³>ã³ã³ã¡ã³ã¿ãŒã«åæ¥ç»èšæ³",
"title": ""
},
{
"paragraph_id": 1,
"tag": "p",
"text": "(å䜵ã®ç»èš)",
"title": "æ¡æ"
}
] |
æ³åŠïŒæ°äºæ³ïŒåæ¥ç»èšæ³ïŒã³ã³ã¡ã³ã¿ãŒã«åæ¥ç»èšæ³
|
[[æ³åŠ]]ïŒ[[æ°äºæ³]]ïŒ[[忥ç»èšæ³]]ïŒ[[ã³ã³ã¡ã³ã¿ãŒã«åæ¥ç»èšæ³]]
==æ¡æ==
ïŒå䜵ã®ç»èšïŒ
;第115æ¡
# [[忥ç»èšæ³ç¬¬108æ¡|第108æ¡]]ã®èŠå®ã¯ãåè³äŒç€Ÿã®ç»èšã«ã€ããŠæºçšããã
# [[忥ç»èšæ³ç¬¬110æ¡|第110æ¡]]ã®èŠå®ã¯ãåžåå䜵ã«ãã倿Žã®ç»èšåã³æ°èšå䜵ã«ããèšç«ã®ç»èšã«ã€ããŠæºçšããã
==解説==
==åç
§æ¡æ==
==å€äŸ==
----
{{ååŸ
|[[ã³ã³ã¡ã³ã¿ãŒã«åæ¥ç»èšæ³|忥ç»èšæ³]]
|[[ã³ã³ã¡ã³ã¿ãŒã«åæ¥ç»èšæ³#3|第3ç« ç»èšæç¶]]<br>
[[ã³ã³ã¡ã³ã¿ãŒã«åæ¥ç»èšæ³#3-7|第7ç¯ åè³äŒç€Ÿã®ç»èš]]
|[[忥ç»èšæ³ç¬¬114æ¡]]<br>ïŒçµç¹å€æŽã®ç»èšïŒ
|[[忥ç»èšæ³ç¬¬116æ¡]]<br>ïŒäŒç€Ÿåå²ã®ç»èšïŒ
}}
{{stub}}
[[category:忥ç»èšæ³|115]]
| null |
2010-11-14T08:36:13Z
|
[
"ãã³ãã¬ãŒã:Stub",
"ãã³ãã¬ãŒã:ååŸ"
] |
https://ja.wikibooks.org/wiki/%E5%95%86%E6%A5%AD%E7%99%BB%E8%A8%98%E6%B3%95%E7%AC%AC115%E6%9D%A1
|
15,119 |
忥ç»èšæ³ç¬¬124æ¡
|
æ³åŠ>æ°äºæ³>忥ç»èšæ³>ã³ã³ã¡ã³ã¿ãŒã«åæ¥ç»èšæ³
(å䜵ã®ç»èš)
|
[
{
"paragraph_id": 0,
"tag": "p",
"text": "æ³åŠ>æ°äºæ³>忥ç»èšæ³>ã³ã³ã¡ã³ã¿ãŒã«åæ¥ç»èšæ³",
"title": ""
},
{
"paragraph_id": 1,
"tag": "p",
"text": "(å䜵ã®ç»èš)",
"title": "æ¡æ"
}
] |
æ³åŠïŒæ°äºæ³ïŒåæ¥ç»èšæ³ïŒã³ã³ã¡ã³ã¿ãŒã«åæ¥ç»èšæ³
|
[[æ³åŠ]]ïŒ[[æ°äºæ³]]ïŒ[[忥ç»èšæ³]]ïŒ[[ã³ã³ã¡ã³ã¿ãŒã«åæ¥ç»èšæ³]]
==æ¡æ==
ïŒå䜵ã®ç»èšïŒ
;第124æ¡
: [[忥ç»èšæ³ç¬¬108æ¡|第108æ¡]]ã®èŠå®ã¯ãååäŒç€Ÿã®ç»èšã«ã€ããŠæºçšããããã®å Žåã«ãããŠãåæ¡ç¬¬1é
第åå·åã³ç¬¬2é
第äºå·äžã瀟å¡ããšããã®ã¯ããæ¥åãå·è¡ãã瀟å¡ããšèªã¿æ¿ãããã®ãšããã
==解説==
*第108æ¡ïŒå䜵ã®ç»èšïŒ
==åç
§æ¡æ==
==å€äŸ==
----
{{ååŸ
|[[ã³ã³ã¡ã³ã¿ãŒã«åæ¥ç»èšæ³|忥ç»èšæ³]]
|[[ã³ã³ã¡ã³ã¿ãŒã«åæ¥ç»èšæ³#3|第3ç« ç»èšæç¶]]<br>
[[ã³ã³ã¡ã³ã¿ãŒã«åæ¥ç»èšæ³#3-8|第8ç¯ ååäŒç€Ÿã®ç»èš]]
|[[忥ç»èšæ³ç¬¬123æ¡]]<br>ïŒçµç¹å€æŽã®ç»èšïŒ
|[[忥ç»èšæ³ç¬¬125æ¡]]<br>ïŒäŒç€Ÿåå²ã®ç»èšïŒ
}}
{{stub}}
[[category:忥ç»èšæ³|124]]
| null |
2011-02-12T08:28:51Z
|
[
"ãã³ãã¬ãŒã:ååŸ",
"ãã³ãã¬ãŒã:Stub"
] |
https://ja.wikibooks.org/wiki/%E5%95%86%E6%A5%AD%E7%99%BB%E8%A8%98%E6%B3%95%E7%AC%AC124%E6%9D%A1
|
15,120 |
忥ç»èšæ³ç¬¬87æ¡
|
æ³åŠ>æ°äºæ³>忥ç»èšæ³>ã³ã³ã¡ã³ã¿ãŒã«åæ¥ç»èšæ³
(w:äŒç€Ÿåå²ã®ç»èš)
|
[
{
"paragraph_id": 0,
"tag": "p",
"text": "æ³åŠ>æ°äºæ³>忥ç»èšæ³>ã³ã³ã¡ã³ã¿ãŒã«åæ¥ç»èšæ³",
"title": ""
},
{
"paragraph_id": 1,
"tag": "p",
"text": "(w:äŒç€Ÿåå²ã®ç»èš)",
"title": "æ¡æ"
}
] |
æ³åŠïŒæ°äºæ³ïŒåæ¥ç»èšæ³ïŒã³ã³ã¡ã³ã¿ãŒã«åæ¥ç»èšæ³
|
[[æ³åŠ]]ïŒ[[æ°äºæ³]]ïŒ[[忥ç»èšæ³]]ïŒ[[ã³ã³ã¡ã³ã¿ãŒã«åæ¥ç»èšæ³]]
==æ¡æ==
ïŒ[[w:äŒç€Ÿåå²]]ã®ç»èšïŒ
;第87æ¡
# æ¬åºã®æåšå°ã«ãããåžååå²äŒç€Ÿåã¯æ°èšåå²äŒç€Ÿãããåžååå²åã¯æ°èšåå²ã«ãã倿Žã®ç»èšã®ç³è«ã¯ãåœè©²ç»èšæã®ç®¡èœåºåå
ã«åžåå岿¿ç¶äŒç€Ÿåã¯æ°èšåå²èšç«äŒç€Ÿã®æ¬åºããªããšãã¯ããã®æ¬åºã®æåšå°ã管èœããç»èšæãçµç±ããŠããªããã°ãªããªãã
# æ¬åºã®æåšå°ã«ãããåé
ã®ç»èšã®ç³è«ãš[[忥ç»èšæ³ç¬¬85æ¡|第85æ¡]]åã¯[[忥ç»èšæ³ç¬¬86æ¡|åæ¡]]ã®ç»èšã®ç³è«ãšã¯ãåæã«ããªããã°ãªããªãã
# 第1é
ã®ç»èšã®ç³è«æžã«ã¯ãç»èšæã«ãããŠäœæããåžååå²äŒç€Ÿåã¯æ°èšåå²äŒç€Ÿã®ä»£è¡šåç· åœ¹ïŒå§å¡äŒèšçœ®äŒç€Ÿã«ãã€ãŠã¯ã代衚å·è¡åœ¹ïŒã®å°éã®èšŒææžãæ·»ä»ããªããã°ãªããªãããã®å Žåã«ãããŠã¯ã[[忥ç»èšæ³ç¬¬18æ¡|第18æ¡]]ã®æžé¢ãé€ããä»ã®æžé¢ã®æ·»ä»ãèŠããªãã
==解説==
*第85æ¡ïŒäŒç€Ÿåå²ã®ç»èšïŒ
*第18æ¡ïŒç³è«æžã®æ·»ä»æžé¢ïŒ
==åç
§æ¡æ==
*[[忥ç»èšèŠå第103æ¡]]ïŒæ·»ä»æžé¢ã®ç¹åïŒ
==å€äŸ==
----
{{ååŸ
|[[ã³ã³ã¡ã³ã¿ãŒã«åæ¥ç»èšæ³|忥ç»èšæ³]]
|[[ã³ã³ã¡ã³ã¿ãŒã«åæ¥ç»èšæ³#3|第3ç« ç»èšæç¶]]<br>
[[ã³ã³ã¡ã³ã¿ãŒã«åæ¥ç»èšæ³#3-5|第5ç¯ æ ªåŒäŒç€Ÿã®ç»èš]]
|[[忥ç»èšæ³ç¬¬86æ¡]]<br>ïŒäŒç€Ÿåå²ã®ç»èšïŒ
|[[忥ç»èšæ³ç¬¬88æ¡]]<br>ïŒäŒç€Ÿåå²ã®ç»èšïŒ
}}
{{stub}}
[[category:忥ç»èšæ³|087]]
| null |
2011-04-22T22:59:25Z
|
[
"ãã³ãã¬ãŒã:ååŸ",
"ãã³ãã¬ãŒã:Stub"
] |
https://ja.wikibooks.org/wiki/%E5%95%86%E6%A5%AD%E7%99%BB%E8%A8%98%E6%B3%95%E7%AC%AC87%E6%9D%A1
|
15,121 |
忥ç»èšæ³ç¬¬109æ¡
|
æ³åŠ>æ°äºæ³>忥ç»èšæ³>ã³ã³ã¡ã³ã¿ãŒã«åæ¥ç»èšæ³
(äŒç€Ÿåå²ã®ç»èš)
|
[
{
"paragraph_id": 0,
"tag": "p",
"text": "æ³åŠ>æ°äºæ³>忥ç»èšæ³>ã³ã³ã¡ã³ã¿ãŒã«åæ¥ç»èšæ³",
"title": ""
},
{
"paragraph_id": 1,
"tag": "p",
"text": "(äŒç€Ÿåå²ã®ç»èš)",
"title": "æ¡æ"
}
] |
æ³åŠïŒæ°äºæ³ïŒåæ¥ç»èšæ³ïŒã³ã³ã¡ã³ã¿ãŒã«åæ¥ç»èšæ³
|
[[æ³åŠ]]ïŒ[[æ°äºæ³]]ïŒ[[忥ç»èšæ³]]ïŒ[[ã³ã³ã¡ã³ã¿ãŒã«åæ¥ç»èšæ³]]
==æ¡æ==
ïŒäŒç€Ÿåå²ã®ç»èšïŒ
;第109æ¡
# åžåå岿¿ç¶äŒç€Ÿãããåžååå²ã«ãã倿Žã®ç»èšã®ç³è«æžã«ã¯ãæ¬¡ã®æžé¢ãæ·»ä»ããªããã°ãªããªãã
#:äž åžååå²å¥çŽæž
#:äº [[忥ç»èšæ³ç¬¬85æ¡|第85æ¡]]第äºå·ãã第å
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ïŒç¬¬äžå·ãé€ããïŒã®èŠå®ã«ããå
¬ååã³å¬åïŒåæ³ç¬¬802æ¡ç¬¬2é
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ãæ²èŒããæ¥åæ°èçŽåã¯é»åå
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¬åïŒãããããšäžŠã³ã«ç°è°ãè¿°ã¹ã嵿š©è
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ã«å¯ŸãåŒæžãè¥ããã¯çžåœã®æ
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ã害ãããããããªãããšã蚌ããæžé¢
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# æ°èšåå²ã«ããèšç«ã®ç»èšã®ç³è«æžã«ã¯ãæ¬¡ã®æžé¢ãæ·»ä»ããªããã°ãªããªãã
#:äž æ°èšåå²èšç»æž
#:äº å®æ¬Ÿ
#:äž [[忥ç»èšæ³ç¬¬86æ¡|第86æ¡]]第äºå·ãã第å
«å·ãŸã§ã«æ²ããæžé¢
#:å æ³äººãæ°èšåå²èšç«äŒç€Ÿã®ç€Ÿå¡ãšãªããšãã¯ã[[忥ç»èšæ³ç¬¬94æ¡|第94æ¡]]第äºå·åã¯ç¬¬äžå·ã«æ²ããæžé¢
# [[忥ç»èšæ³ç¬¬84æ¡|第84æ¡]]ã[[忥ç»èšæ³ç¬¬87æ¡|第87æ¡]]åã³[[忥ç»èšæ³ç¬¬88æ¡|第88æ¡]]ã®èŠå®ã¯ãååäŒç€Ÿã®ç»èšã«ã€ããŠæºçšããã
==解説==
==åç
§æ¡æ==
==å€äŸ==
----
{{ååŸ
|[[ã³ã³ã¡ã³ã¿ãŒã«åæ¥ç»èšæ³|忥ç»èšæ³]]
|[[ã³ã³ã¡ã³ã¿ãŒã«åæ¥ç»èšæ³#3|第3ç« ç»èšæç¶]]<br>
[[ã³ã³ã¡ã³ã¿ãŒã«åæ¥ç»èšæ³#3-6|第6ç¯ ååäŒç€Ÿã®ç»èš]]
|[[忥ç»èšæ³ç¬¬108æ¡]]<br>ïŒå䜵ã®ç»èšïŒ
|[[忥ç»èšæ³ç¬¬110æ¡]]<br>ïŒèšç«ã®ç»èšïŒ
}}
{{stub}}
[[category:忥ç»èšæ³|109]]
| null |
2010-11-14T21:22:20Z
|
[
"ãã³ãã¬ãŒã:ååŸ",
"ãã³ãã¬ãŒã:Stub"
] |
https://ja.wikibooks.org/wiki/%E5%95%86%E6%A5%AD%E7%99%BB%E8%A8%98%E6%B3%95%E7%AC%AC109%E6%9D%A1
|
15,122 |
忥ç»èšæ³ç¬¬116æ¡
|
æ³åŠ>æ°äºæ³>忥ç»èšæ³>ã³ã³ã¡ã³ã¿ãŒã«åæ¥ç»èšæ³
(äŒç€Ÿåå²ã®ç»èš)
|
[
{
"paragraph_id": 0,
"tag": "p",
"text": "æ³åŠ>æ°äºæ³>忥ç»èšæ³>ã³ã³ã¡ã³ã¿ãŒã«åæ¥ç»èšæ³",
"title": ""
},
{
"paragraph_id": 1,
"tag": "p",
"text": "(äŒç€Ÿåå²ã®ç»èš)",
"title": "æ¡æ"
}
] |
æ³åŠïŒæ°äºæ³ïŒåæ¥ç»èšæ³ïŒã³ã³ã¡ã³ã¿ãŒã«åæ¥ç»èšæ³
|
[[æ³åŠ]]ïŒ[[æ°äºæ³]]ïŒ[[忥ç»èšæ³]]ïŒ[[ã³ã³ã¡ã³ã¿ãŒã«åæ¥ç»èšæ³]]
==æ¡æ==
ïŒäŒç€Ÿåå²ã®ç»èšïŒ
;第116æ¡
# [[忥ç»èšæ³ç¬¬109æ¡|第109æ¡]]ã®èŠå®ã¯ãåè³äŒç€Ÿã®ç»èšã«ã€ããŠæºçšããã
# [[忥ç»èšæ³ç¬¬110æ¡|第110æ¡]]ã®èŠå®ã¯ãåžåå岿¿ç¶äŒç€Ÿãããåžååå²ã«ãã倿Žã®ç»èšåã³æ°èšåå²ã«ããèšç«ã®ç»èšã«ã€ããŠæºçšããã
==解説==
==åç
§æ¡æ==
==å€äŸ==
----
{{ååŸ
|[[ã³ã³ã¡ã³ã¿ãŒã«åæ¥ç»èšæ³|忥ç»èšæ³]]
|[[ã³ã³ã¡ã³ã¿ãŒã«åæ¥ç»èšæ³#3|第3ç« ç»èšæç¶]]<br>
[[ã³ã³ã¡ã³ã¿ãŒã«åæ¥ç»èšæ³#3-7|第7ç¯ åè³äŒç€Ÿã®ç»èš]]
|[[忥ç»èšæ³ç¬¬115æ¡]]<br>ïŒå䜵ã®ç»èšïŒ
|[[忥ç»èšæ³ç¬¬117æ¡]]<br>ïŒèšç«ã®ç»èšïŒ
}}
{{stub}}
[[category:忥ç»èšæ³|116]]
| null |
2010-11-14T21:29:25Z
|
[
"ãã³ãã¬ãŒã:ååŸ",
"ãã³ãã¬ãŒã:Stub"
] |
https://ja.wikibooks.org/wiki/%E5%95%86%E6%A5%AD%E7%99%BB%E8%A8%98%E6%B3%95%E7%AC%AC116%E6%9D%A1
|
15,123 |
忥ç»èšæ³ç¬¬125æ¡
|
æ³åŠ>æ°äºæ³>忥ç»èšæ³>ã³ã³ã¡ã³ã¿ãŒã«åæ¥ç»èšæ³
(äŒç€Ÿåå²ã®ç»èš)
|
[
{
"paragraph_id": 0,
"tag": "p",
"text": "æ³åŠ>æ°äºæ³>忥ç»èšæ³>ã³ã³ã¡ã³ã¿ãŒã«åæ¥ç»èšæ³",
"title": ""
},
{
"paragraph_id": 1,
"tag": "p",
"text": "(äŒç€Ÿåå²ã®ç»èš)",
"title": "æ¡æ"
}
] |
æ³åŠïŒæ°äºæ³ïŒåæ¥ç»èšæ³ïŒã³ã³ã¡ã³ã¿ãŒã«åæ¥ç»èšæ³
|
[[æ³åŠ]]ïŒ[[æ°äºæ³]]ïŒ[[忥ç»èšæ³]]ïŒ[[ã³ã³ã¡ã³ã¿ãŒã«åæ¥ç»èšæ³]]
==æ¡æ==
ïŒäŒç€Ÿåå²ã®ç»èšïŒ
;第125æ¡
: [[忥ç»èšæ³ç¬¬109æ¡|第109æ¡]]ã®èŠå®ã¯ãååäŒç€Ÿã®ç»èšã«ã€ããŠæºçšããããã®å Žåã«ãããŠãåæ¡ç¬¬1é
第åå·åã³ç¬¬2é
第åå·äžã瀟å¡ããšããã®ã¯ããæ¥åãå·è¡ãã瀟å¡ããšèªã¿æ¿ãããã®ãšããã
==解説==
==åç
§æ¡æ==
==å€äŸ==
----
{{ååŸ
|[[ã³ã³ã¡ã³ã¿ãŒã«åæ¥ç»èšæ³|忥ç»èšæ³]]
|[[ã³ã³ã¡ã³ã¿ãŒã«åæ¥ç»èšæ³#3|第3ç« ç»èšæç¶]]<br>
[[ã³ã³ã¡ã³ã¿ãŒã«åæ¥ç»èšæ³#3-8|第8ç¯ ååäŒç€Ÿã®ç»èš]]
|[[忥ç»èšæ³ç¬¬124æ¡]]<br>ïŒå䜵ã®ç»èšïŒ
|[[忥ç»èšæ³ç¬¬126æ¡]]<br>ïŒæ ªåŒäº€æã®ç»èšïŒ
}}
{{stub}}
[[category:忥ç»èšæ³|125]]
| null |
2010-11-14T21:32:36Z
|
[
"ãã³ãã¬ãŒã:ååŸ",
"ãã³ãã¬ãŒã:Stub"
] |
https://ja.wikibooks.org/wiki/%E5%95%86%E6%A5%AD%E7%99%BB%E8%A8%98%E6%B3%95%E7%AC%AC125%E6%9D%A1
|
15,124 |
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|
æ³åŠ>æ°äºæ³>忥ç»èšæ³>ã³ã³ã¡ã³ã¿ãŒã«åæ¥ç»èšæ³
(åæç³è«)
|
[
{
"paragraph_id": 0,
"tag": "p",
"text": "æ³åŠ>æ°äºæ³>忥ç»èšæ³>ã³ã³ã¡ã³ã¿ãŒã«åæ¥ç»èšæ³",
"title": ""
},
{
"paragraph_id": 1,
"tag": "p",
"text": "(åæç³è«)",
"title": "æ¡æ"
}
] |
æ³åŠïŒæ°äºæ³ïŒåæ¥ç»èšæ³ïŒã³ã³ã¡ã³ã¿ãŒã«åæ¥ç»èšæ³
|
[[æ³åŠ]]ïŒ[[æ°äºæ³]]ïŒ[[忥ç»èšæ³]]ïŒ[[ã³ã³ã¡ã³ã¿ãŒã«åæ¥ç»èšæ³]]
==æ¡æ==
ïŒåæç³è«ïŒ
;第91æ¡
# [[äŒç€Ÿæ³ç¬¬768æ¡]]第1é
第åå· åã¯[[äŒç€Ÿæ³ç¬¬773æ¡|第773æ¡]]第1é
第ä¹å· ã«èŠå®ããå Žåã«ãããŠãæ¬åºã®æåšå°ã«ãããæ ªåŒäº€æå®å
šåäŒç€Ÿåã¯æ ªåŒç§»è»¢å®å
šåäŒç€Ÿãããæ ªåŒäº€æåã¯æ ªåŒç§»è»¢ã«ããæ°æ ªäºçŽæš©ã®å€æŽã®ç»èšã®ç³è«ã¯ãåœè©²ç»èšæã®ç®¡èœåºåå
ã«æ ªåŒäº€æå®å
šèŠªäŒç€Ÿåã¯æ ªåŒç§»è»¢ã«ããèšç«ããæ ªåŒäŒç€ŸïŒä»¥äžãæ ªåŒç§»è»¢èšç«å®å
šèŠªäŒç€ŸããšãããïŒã®æ¬åºããªããšãã¯ããã®æ¬åºã®æåšå°ã管èœããç»èšæãçµç±ããŠããªããã°ãªããªãã
# äŒç€Ÿæ³ç¬¬768æ¡ç¬¬1é
第åå· åã¯ç¬¬773æ¡ç¬¬1é
第ä¹å· ã«èŠå®ããå Žåã«ã¯ãæ¬åºã®æåšå°ã«ãããåé
ã®ç»èšã®ç³è«ãš[[忥ç»èšæ³ç¬¬89æ¡|第89æ¡]]åã¯åæ¡ã®ç»èšã®ç³è«ãšã¯ãåæã«ããªããã°ãªããªãã
# 第1é
ã®ç»èšã®ç³è«æžã«ã¯ãç»èšæã«ãããŠäœæããæ ªåŒäº€æå®å
šåäŒç€Ÿåã¯æ ªåŒç§»è»¢å®å
šåäŒç€Ÿã®ä»£è¡šåç· åœ¹ïŒå§å¡äŒèšçœ®äŒç€Ÿã«ãã€ãŠã¯ã代衚å·è¡åœ¹ïŒã®å°éã®èšŒææžãæ·»ä»ããªããã°ãªããªãããã®å Žåã«ãããŠã¯ã[[忥ç»èšæ³ç¬¬18æ¡|第18æ¡]]ã®æžé¢ãé€ããä»ã®æžé¢ã®æ·»ä»ãèŠããªãã
==解説==
*äŒç€Ÿæ³ç¬¬768æ¡ïŒæ ªåŒäŒç€Ÿã«çºè¡æžæ ªåŒãååŸãããæ ªåŒäº€æå¥çŽïŒ
*äŒç€Ÿæ³ç¬¬773æ¡ïŒæ ªåŒç§»è»¢èšç»ïŒ
==åç
§æ¡æ==
*[[忥ç»èšèŠå第103æ¡]]ïŒæ·»ä»æžé¢ã®ç¹åïŒ
==å€äŸ==
----
{{ååŸ
|[[ã³ã³ã¡ã³ã¿ãŒã«åæ¥ç»èšæ³|忥ç»èšæ³]]
|[[ã³ã³ã¡ã³ã¿ãŒã«åæ¥ç»èšæ³#3|第3ç« ç»èšæç¶]]<br>
[[ã³ã³ã¡ã³ã¿ãŒã«åæ¥ç»èšæ³#3-5|第5ç¯ æ ªåŒäŒç€Ÿã®ç»èš]]
|[[忥ç»èšæ³ç¬¬90æ¡]]<br>ïŒæ ªåŒç§»è»¢ã®ç»èšïŒ
|[[忥ç»èšæ³ç¬¬92æ¡]]<br>ïŒåæç³è«ïŒ
}}
{{stub}}
[[category:忥ç»èšæ³|091]]
| null |
2011-04-22T22:55:46Z
|
[
"ãã³ãã¬ãŒã:ååŸ",
"ãã³ãã¬ãŒã:Stub"
] |
https://ja.wikibooks.org/wiki/%E5%95%86%E6%A5%AD%E7%99%BB%E8%A8%98%E6%B3%95%E7%AC%AC91%E6%9D%A1
|
15,125 |
忥ç»èšæ³ç¬¬126æ¡
|
æ³åŠ>æ°äºæ³>忥ç»èšæ³>ã³ã³ã¡ã³ã¿ãŒã«åæ¥ç»èšæ³
(æ ªåŒäº€æã®ç»èš)
|
[
{
"paragraph_id": 0,
"tag": "p",
"text": "æ³åŠ>æ°äºæ³>忥ç»èšæ³>ã³ã³ã¡ã³ã¿ãŒã«åæ¥ç»èšæ³",
"title": ""
},
{
"paragraph_id": 1,
"tag": "p",
"text": "(æ ªåŒäº€æã®ç»èš)",
"title": "æ¡æ"
}
] |
æ³åŠïŒæ°äºæ³ïŒåæ¥ç»èšæ³ïŒã³ã³ã¡ã³ã¿ãŒã«åæ¥ç»èšæ³
|
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----
{{ååŸ
|[[ã³ã³ã¡ã³ã¿ãŒã«åæ¥ç»èšæ³|忥ç»èšæ³]]
|[[ã³ã³ã¡ã³ã¿ãŒã«åæ¥ç»èšæ³#3|第3ç« ç»èšæç¶]]<br>
[[ã³ã³ã¡ã³ã¿ãŒã«åæ¥ç»èšæ³#3-8|第8ç¯ ååäŒç€Ÿã®ç»èš]]
|[[忥ç»èšæ³ç¬¬125æ¡]]<br>ïŒäŒç€Ÿåå²ã®ç»èšïŒ
|[[忥ç»èšæ³ç¬¬127æ¡]]<br>ïŒç®¡èœã®ç¹äŸïŒ
}}
{{stub}}
[[category:忥ç»èšæ³|126]]
| null |
2011-03-08T01:47:17Z
|
[
"ãã³ãã¬ãŒã:ååŸ",
"ãã³ãã¬ãŒã:Stub"
] |
https://ja.wikibooks.org/wiki/%E5%95%86%E6%A5%AD%E7%99%BB%E8%A8%98%E6%B3%95%E7%AC%AC126%E6%9D%A1
|
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