
asano sankuchan

jatil vishleshan mein, ganit mein ack vishay, aur saankhyikiya bhautiki mein, asano sankuchan yaa asano-rule sankuchan ack alag seey sambaddh bahubhinnata bahupad parr ack parivartan haye. ise pahali baar 1970 mein taaro asano dwara heisenberg spin model mamle mein lii-yang pramey koo saabit karane key liye prastut kiya gayaa thaa. isase icing model mein lii-yang pramey kaa ack saral pramaan bhee milaa. david ruel ney ack samanya pramey saabit kiya joe mool key anubandhit bahupad kii jadon key sthaan seey sambandhit thaa. graph siddhant mein bahupadon kaa adhyayan karane key liye bhee asano sankuchan kaa upayog kiya gayaa haye.
paribhasha.
sootra _ 1 koo ack bahupad honey dein, jise jaba inmein seey kewal ack charr key falan key roop mein dekhaa jaataa haye tou yeh ack affine falan haye. aise karyon koo alag seey affine kahaa jaataa haye. udaaharan key liye, sootra _ 2 dou charon mein ack alag seey sambaddh kaary kaa samanya roop haye. kissy bhee alag seey affine function koo isake kissy bhee dou charr key sandarbh mein sootra _ 3 key roop mein likhaa jaa sakata haye. asano sankuchan sootra _ 4 sootra _ 5 koo sootra _ 6 parr bhejata haye.
shunyon kaa sthaan.
asano sankuchan kaa upayog aksar jadon key sthaan key baare mein pramey key sandarbh mein kiya jaataa haye. asano ney mool roop seey unakaa upayog kiya kyonki way kissy bhee jarh key guna koo sanrakshit naheen karate hain jaba sabhi charr kaa parimaan 1 seey adhik hotaa haye. ruel ney ack adhik samanya sambandh pradaan kiya jisane adhik anuprayogon mein sankuchan kaa upayog karane kii anumati dee. unhone dikhaaya kii yadi koee bund sett sootra 7 naheen haye jisamen 0 naheen haye, tou sootra 5 taba taka gayab naheen hoe sakata jaba taka kii kissy soochkaank sootra 10 key liye sootra 9 naheen haye, tou sootra 11 kewal tabhi gayab hoe sakata haye jaba kissy soochkaank sootra 13 yaa sootra 14 key liye sootra 9 hoe, jahaan sootra 15. ruel aur anya ney iss pramey kaa upayog vibhajan falan key shunyon koo isake upa-pranaliyon key vibhajan falan key shunyon seey sambandhit karane key liye kiya haye.
upayog karein.
saankhyikiya bhautiki mein ack pranali key baare mein jaankaari praapt karane key liye usake upa-pranaliyon seey asano sankuchan kaa upayog kiya jaa sakata haye. udaaharan key liye, maan leejiye kii hamaare paas ack pranali haye jisamen ack seemit sett sootra haye jisamen 1 yaa-1 chumbakiya spin vaale kanon kaa 16 haye. pratyek site key liye, hamaare paas ack jatil charr sootra haye _ 17 tou humm ack alag seey sambaddh bahupad sootra _ 18 koo paribhaashit curr sakate hain jahan sootra _ 19, sootra _ 20 aur sootra _ 21 usa sthiti kii oorjaa haye jahan sootra _ 22 mein kewal saiton mein sakaratmak spin haye. yadi sabhi charr samaan hain, tou yeh vibhajan kaary haye. abb yadi sootra _ 23 haye, tou sootra _ 24 koo sootra _ 25 seey samaan saiton seey judey charr koo anubandhit karke praapt kiya jaataa haye. aisaa isaliye haye kyonki asano sankuchan anivarya roop seey una sabhi shabdon koo samaapt curr detaa haye jahaan ack site parr spin sootra _ 26 aur sootra _ 27 mein alag hain.
ruel ney milan bahupadon key saamaanyikaran kii jadon key sthaan key baare mein jaankaari praapt karane key liye asano sankuchan kaa bhee upayog kiya haye jise vaha graph-counting bahupadon kahate hain. vaha pratyek kinare parr ack charr nirdhaarit kartaa haye. pratyek sheersh key liye, vaha usa sheersh parr kinaaron kii ghatana key anuroop charr mein ack samamit bahupad kii ganana kartaa haye. samamit bahupad mein usa node key liye anumat degree key barabar degree key shabd hotey hain. phir vaha inn samamit bahupadon koo ack saath gunaa kartaa haye aur kewal una shabdon koo rakhane key liye asano sankuchan kaa upayog kartaa haye jahaan kinare apane donon antim binduon parr maujood hain. grace-walsh-sege pramey kaa upayog karke aur praapt kiye jaa sakane vaale sabhi seton koo katkar, ruel inn samamit bahupadon key kaee prakaar key mool vaale sett detaa haye. choonki graph-ginati bahupad asano sankuchan dwara inase praapt kiya gayaa thaa, shesh kaary inn seton key computing utpaadon parr haye.