
vyathiriktha samamiti

ganithathilum jyaamithiyilum, oru sisttathile thudarchayaaya maattangale vivarikkunna oru samamithiyaan vyathiriktha samamiti. udaaharanathinu, oru chathuratthinu vyathirikthamaya bhramana samamiti undu, kaaranam samakonangalude gunithangalaal maathram karangunnath chathuratthinte yadhaartha roopam nilanirtthum. vyathiriktha samamithikalil chilappol eathenkilum tharatthilulla 'swapping' ulppedunnu, eee swaappukale saadhaaranayaayi 'reflections' allengil 'interchenchukal' ennu vilikkunnu. ganithashaasthrathilum saidhaanthika bhauthikashaasthrathilum, oru vyathiriktha samamiti ennathu oru vyathiriktha grouppinte parivarthanangalkku keezhilulla oru samamithiyaan-iii.jii. oru parimithamaaya allengil kanakkakkavunna oru koottam moolakangal roopappeduthunna oru vyathiriktha topologyulla oru topological group.
bhauthikashaasthrathile ettavum pradhanappetta vyathiriktha samamithikalilonnaan paarity samamiti. tharamgapravartthanangale erattayo vichithramo aakki maattunnathiloode kwaandam harmonic oosilettar, hydrajan polulla aattangalude electron oorbittalukal thudangiya vividha praadhamika bhauthika kwaandam samvidaanangalil ithu svayam prakadamaakunnu. ithu aattomik obsorption spectrayil eathu transition lainukalaanu drishyamaakunnathennu nirnnayikkunna selection niyamangalkk kaaranamaakunnu.

