
samamelan sampatti

model siddhant key ganitiya kshetra mein, samamelan sampatti sanrachanaon key sangrah kii ack sampatti haye joe kuchh sharton key tahat guaranti detee haye kii sangrah mein dou sanrachanaon koo ack badey key upa-sanrachana key roop mein maanaa jaa sakata haye.
yeh guna frese key pramey mein ack mahatvapurna bhoomika nibhaata haye, joe seemit sanrachanaon key vargon koo darshaata haye joe iss prakaar utpann hotey hain
ganana yogya sajaatiya sanrachanaon kii ayu.
samamelan guna kaa aarekh ganitiya tark key kaee kshetron mein dikhaai detaa haye. udaharanon mein ack asanlagn abhigamyata sambandh key roop mein model tark mein aur church-cross sampatti mein kamee key tareeke key roop mein lambda calculus mein shamil hain.
paribhasha.
ack "samamelan" koo aupchaarik roop seey 5-tupal ("aeye, aff, bee, jee, see") key roop mein paribhaashit kiya jaa sakata haye jaise kii "aeye, bee, see" sanrachanaaen hain jinake samaan hastakshar hain, aur "efah aeye" "" bee, jee ":" aeye "" see "" embedding hain.  yaad rakhein kii "f: a" "b" ack "embedding" haye yadi "f" ack injective morphism haye joe "a" seey "b" key "f (a)" kii sanrachana mein ack samroopata koo prerit kartaa haye.
sanrachanaon key ack varg "key" mein samamelan guna hotaa haye yadi "aeye, bee", see "ω" key "aur" aeye "ω key saath pratyek samamelan key liye, ack sanrachana" dee "ω" key "aur embedding" aff ': "bee" "" dee ", jee':" see "" dee "donon maujood hain jaise kii
ack pratham-crum siddhant sootra _ 2 mein samamelan guna hotaa haye yadi sootra _ 2 key model key varg mein samamelan guna hotaa haye. samamelan sampatti kaa maatrak unmoolan seey kuchh sambandh haye.
samanya taur parr, samamelan sampatti koo ack shreni key liye maanaa jaa sakata haye jisamen rupankan key varg (embedding key sthaan parr) kii ack nirdisht pasand hoe. yeh dhaarana vishesh roop seey, majboot samamelan sampatti key sambandh mein, ack pullback kii spasht dhaarana seey sambandhit haye (neeche dekhein).
udaaharan.
samamelan sampatti key liye ack samaan lekin alag dhaarana sanyukt embedding sampatti haye. antar koo dekhane key liye, pahale varg "key" (yaa buss sett) parr vichaar karein jisamen raikhik crum key saath teen model hain, "ell" 1 kaa aakar ack, ell "2 kaa aakar dou, aur" ell "3 kaa aakar teen. iss varg "key" mein sanyukt embedding guna haye kyonki teenon models koo "ell" 3 mein embed kiya jaa sakata haye. haalaanki, "key" mein samamelan guna naheen haye. isake liye prati-udaaharan "l" 1 seey shuru hotaa haye jisamen ack hii tatva "e" hotaa haye aur dou alag-alag tarikon seey "l" 3 taka failata haye, jisamen seey ack "e" sabse chhota haye aur doosara jisamen "e" sabse badaa haye. abb inn dou extensions seey ack embedding key saath koee bhee samanya model cumm seey cumm aakar paanch kaa honah chaahiye taaki "ee" key donon taraf dou tatva houn.
abb beejganitiya roop seey bund kshetron key varg parr vichaar karein. iss varg mein samamelan guna haye kyonki ack pramukh kshetra key kissy bhee dou kshetra vistaar koo ack samanya kshetra mein embed kiya jaa sakata haye. haalaanki, jaba kshetron kii visheshataaen bhinn hoti hain tou dou manmaane kshetron koo ack samanya kshetra mein antarnihit naheen kiya jaa sakata haye.
majboot samamelan sampatti.
sanrachanaon key ack varg "key" mein "majboot samamelan guna" (sap) hotaa haye, jise "vichhed samamelan guna" (dap) bhee kahaa jaataa haye, yadi "aeye, bee", see "ω" key "key saath pratyek samamelan key liye ack sanrachana" dee "ω" key "aur embedding" aff ': "bee" "" dee ", jee': see" "dee" "iss tarah seey maujood haye kii

