
shrinkhala-poorna aanshik crum

ganit mein, vishesh roop seey crum siddhant mein, ack aanshik roop seey krambaddh samooh shrinkhala-poorna hotaa haye yadi isamen pratyek shrinkhala kii nyuntam oopari seema hoti haye. yeh taba poorna hotaa haye jaba tatvon key pratyek badhate anukram (ack prakaar kii ganana yogya shrinkhala) mein cumm seey cumm oopari seema hoti haye; isi dhaarana koo shrinkhalaon kii anya pramukhtaon taka badhaaya jaa sakata haye.
udaaharan.
pratyek poorna jaali shrinkhala-poorna hoti haye. poorna jaali key vipareet, shrinkhala-poorna sthiti apekshaakrit aam hain. udaharanon mein shamil hainh
sampattiyan.
ack poset shrinkhala-poorna hotaa haye yadi aur kewal tabhi jaba yeh ack nukila dcpo hoe. haalaanki, iss samatulyata key liye vikalp key swayamsiddh kii aavashyakta hoti haye.
zornes lemma mein kahaa gayaa haye kii, yadi kissy poset mein pratyek shrinkhala key liye ack oopari seema haye, tou isamen ack adhikatam tatva haye. iss prakaar, yeh shrinkhala-poorna sthiti parr lagu hotaa haye, lekin adhik samanya haye kii yeh una shrinkhalaon kii anumati detaa haye jinaki oopari seemaaen hoti hain lekin cumm seey cumm oopari seemaaen naheen hoti hain.
shrinkhala-poorna sthiti bhee borbaki-witt pramey kaa paalan karati haye, ack nishchit bindu pramey joe yeh bataata haye kii, yadi "f" ack shrinkhala seey poorna sthiti seey apane aap mein ack falan haye, jisamen yeh guna haye kii sabhi "x" key liye "f" ("x") ≤ "x", tou "f" kaa ack nishchit bindu haye. iss pramey kaa upayog yeh saabit karane key liye kiya jaa sakata haye kii zorn kaa shabdashah chayan key swayamsiddh kaa parinam haye.
aanshik roop seey krambaddh samooh key dedeckind-mcneil puuraa honey key saath saadrishya dwara, pratyek aanshik roop seey krambaddh samooh koo vishisht roop seey ack nyuntam shrinkhala-poorna sthaan taka badhaaya jaa sakata haye.

