
sthirata trijya

ganit mein, kissy diye gaye nammatra bindu parr kissy vastu (pranali, kaary, matricks, parameter) kii sthirata trijya sabse badee gend kii trijya haye, joe nammatra bindu parr kendrit hoti haye, jisake sabhi tatva poorv-nirdhaarit sthirata sthitiyon koo santusht karate hain. iss sahaj dhaarana kii tasveer yeh haih
jahan sootra _ 1 nammatra key bindu koo darshaata haye, sootra _ 2 vastu sootra _ 3 key sabhi sambhaavit moolyon key sthaan koo darshaata haye, aur chhayankit kshetra, sootra _ 4, una binduon key samooh kaa pratinidhitva kartaa haye joe sthirata sthitiyon koo santusht karate hain. neele vritt kii trijya, joe laal rung mein dikhaai gaee haye, sthirata trijya haye.
amoort paribhasha.
iss avadharana kii aupchaarik paribhasha anuprayog kshetra key aadhar parr bhinn hoti haye. nimnalikhit amoort paribhasha kaafee upayogi haye.
jahan sootra _ 6 sootra _ 1 parr kendrit sootra _ 2 mein trijya sootra _ 7 kii ack bund gend koo darshaata haye.
itihas.
aisaa lagata haye kii iss avadharana kaa aavishkaar 1960 key dashak kii shuruat mein kiya gayaa thaa. 1980 key dashak mein yeh niyantran siddhant aur anukoolan mein lokpriya hoe gayaa. yeh vyaapak roop seey ruchi kii vastu key diye gaye nammatra moolya mein chhote gadbadi key khilaf sthaaniya majbooti key ack model key roop mein upayog kiya jaataa haye.
wald key adhikatam model seey sambandh.
yeh dikhaaya gayaa thaa kii sthirata trijya model wald key adhikatam model kaa ack udaaharan haye. vaha haye,
kahaan
badaa dund (sootra _ 12) sootra _ 13 khilaadi koo pranali kii sthirata trijya seey parey nammatra key moolya koo baadhit naheen karane key liye majboor karane key liye ack upkaran haye. yeh ack sanket haye kii sthirata model vaishvik model key bajaay sthaaniya sthirata/majbooti kaa ack model haye.
soochana-antaral nirnay siddhant.
soochana-antaral nirnay siddhant haal hii mein ack gair-sambhaavyata nirnay siddhant haye. yeh anishchitata key tahat nirnay key sabhi vartamaan siddhanton seey maulik roop seey alag honey kaa daavaa kiya jaataa haye. lekin yeh dikhaaya gayaa haye kii iska majbooti model, arthaat
vaastav mein ack sthirata trijya model haye joe formula _ 15 kii ack saral sthirata aavashyakta dwara visheshta haye, jahaan formula _ 16 vichaar key tahat nirnay koo darshaata haye, formula _ 17 byaaj key parameter koo darshaata haye, formula _ 18 formula _ 17 key sahee moolya key anuman koo darshaata haye aur formula _ 20 formula _ 18 parr kendrit trijya formula _ 21 kii gend koo darshaata haye.
choonki sthirata trijya model koo ack parameter key nammatra moolya mein chhoti gadbadi seey nipatane key liye design kiya gayaa haye, isaliye soochana-antaral kaa majbooti model anuman sootra _ 18 key pados mein nirnayon kii "sthaaniya majbooti" koo maapata haye.
sneedovic kaa tark haye kii iss kaaran seey yeh siddhant gambhir anishchitata key upchaar key liye anupayukt haye, jisaki visheshta ack kharaab anuman aur ack vishal anishchitata sthaan haye.
vaikalpik paribhasha.
aise mamle hain jahaan sthirata trijya koo thodaa alag paribhaashit karna adhik suvidhajanak haye. udaaharan key liye, niyantran siddhant mein kaee anuprayogon mein sthirata kii trijya koo byaaj key parameter key nammatra moolya mein sabse chhote asthir karane vaale gadbadi key aakar key roop mein paribhaashit kiya gayaa haye. tasveer iss prakaar haih
adhik aupchaarik roop seey,
jahan sootra _ 25 sootra _ 1 seey sootra _ 26 kii "doori" koo darshaata haye.
karyon kii sthirata trijya.
ack khule sthirata kshetra "dee" key sambandh mein ack nirantar falan "aff" (ack karyatmak sthaan "aff" mein) kii sthirata trijya "aff" aur asthir karyon key samooh ("dee" key sambandh mein) key beach kii doori haye. humm kahate hain kii ack falan "dee" key sambandh mein "sthir" haye yadi iska varnakram "dee" mein haye. yahaan, spectrum kii dhaarana koo mamle-darr-mamle key aadhar parr paribhaashit kiya gayaa haye, jaisa kii neeche samajhaaya gayaa haye.
paribhasha.
aupchaarik roop seey, yadi humm sthir karyon key samooh koo "s (d)" aur sthirata trijya koo "r (f, d)" seey darshaate hain, toh
jahan "c" "f" kaa ack upasamuchchay haye.
dhyaan dein kii yadi "f" pahale seey hii asthir haye ("d" key sambandh mein), tou "r (f, d) = 0" (jaba taka "c" mein shoonya haye).
anuprayog.
sthirata trijya kii dhaarana koo aam taur parr bahupadon (spectrum taba mool haye) aur matricks (spectrum igenvalue haye) key roop mein vishesh karyon parr lagu kiya jaataa haye. vaha mamla jahaan "see" "aff" kaa ack uchit upasamuchchay haye, hamein sanrachit gadbadi parr vichaar karane kii anumati detaa haye (ee.jee. ack matricks key liye, hamein kewal antim pankti parr gadbadi kii aavashyakta hoe sakati haye). yeh majbooti kaa ack dilchasp upaay haye, udaaharan key liye niyantran siddhant mein.
guna.
maan leejiye kii "f" degree "n" kaa ack (jatil) bahupad haye, c = f "degree" n "seey cumm (yaa barabar) key bahupadon kaa samooh haye (jise humm yahaan gunank key sett sootra _ 29 key saath pahachaante hain). humm "dee" open unit disk key liye lete hain, jiska arth haye kii humm ack bahupad aur shoor sthir bahupad key sett key beach kii doori kii talash curr rahey hain. tabah
jahan "q" mein pratyek aadhar sadish (e.jee. sootra _ 31 jaba "q" samanya shakti aadhar haye). iss parinam kaa matlab haye kii sthirata trijya nyuntam moolya key saath bandhi hui haye joe "f" ikai vritt parr pahunchati haye.