bertinyche pramey

ganitat, bertinyche pramey heey eugenio bertiny sadar kelelya bijganitiyadrushtya bund kshetranvar gulgulit prakshepak prakaransathi gulgulit jodalelya hyperplane vibhagansathi eka astitva aanee samanyata pramey aahe. vibhajkanchya resheey pranalila lagoo lagoo "bertini pramey" paiki heey sarvat sope aanee vyapak aahe; sarvat sope kaaran antarnihit kshetrachya vaishishtyavar konatehi nirbandh naheet, tarr vistaransathi vaishishtyapurn 0 aavashyak aahe.
gulgulit jaatinchya hyperplane vibhagansathiche vidhan.
x' haah bijganitiyadrushtya bund kelelya kshetravar eka gulgulit ardh-prakshepak prakar asoo dya, joou prakshepak avkash sootra _ 1 madhye antarbhut aahe.
sootra _ 2 heey sootra _ 1 madheel hyperplane devisorschi sampoorn pranali darshavu dya. lakshat thewa qee heey sootra _ 1 chey duheri space sootra _ 4 aahe aanee sootra _ 1 sathee samaroop aahe.
bertinyche pramey asey sangate qee "x" nasalelya aanee "x" saha gulgulit chhedanbindu asalelya hyperplane sanchamadhye vibhajkanchya sootra _ 2 chya ekoon pranalicha eka khula ghan upasanch asato. jarr "x" prakshepak asel tarr sanch swatach khula asato. jarr sootra _ 8 asel, tarr heey chhedanbindu (jyala "x" chey hyperplane vibhag mhanatat) jodalele aahet, tyamule teey irreducible aahet.
tyamule pramey thampane sangato qee 'x' chya barobaricha nasalela 'samanya' hyperplane vibhag gulgulit aahe, mhanjeh gulgulitpanacha gunadharm samanya aahe.
eka aniyantrit kshetra "keey" varr, duheri jaaga sootra _ 4 chaa eka daat khula upasanch aahe jyache tarksangat bindu hyperplane "ex" chey gulgulit hyperplane vibhag paribhashit karatat. jevha "k" anant asato, tevha yaa khulya upasanchat anant pramanat anek tarksangat bindu asatat aanee "x" madhye anant pramanat anek gulgulit hyperplane vibhag asatat.
maryadit kshetravar, vareel khulya upasanchat tarksangat bindu nastil aanee sarvasadharanpane 'x' saha gulgulit chhedanbindu asalele konatehi hyperplane nastil. tathapi, jarr aapan puresha mothya anshanche atiuchch prushthe ghetali tarr bertinyche pramey manya karate.
puravyachi ruparesha.
aapan formula 11 vareel fibers utpadanachya vividh sootra _ 10 chya subfibration vichar karato, hyperplanechi resheey pranali jee "x" laa "x" varr naun-transerversley chhedate.
utpadanatil tantumayatechi shreni sootra _ 12 chya kodimenshanpeksha eka qamee aahe, jenekarun ekoon jaageche pariman sootra _ 13 peksha qamee asel aanee tyamule tyache prakshepan sampoorn pranali sootra _ 2 chya vibhajkamadhye asel.
sarvasadharan vidhan.
0 yaa vaishishtyachya konatyahi anant kshetra sutravar, jarr "x" heey eka gulgulit ardh-prakshepak sootra _ 16 prakar asel, tarr "x" vareel vibhajkanchya resheey pranalicha samanya sadasya pranalichya mool sthanapasun gulgulit door asato. spashtikaranasathi, yacha arth assa aahe qee resheey pranali sootra _ 17 dile tarr hyperplane 'etch' chey purvagrah sootra _ 18 gulgulit aahe-- 'eff' chya bases lokaschya baher-- duheri prakshepak space sootra _ 19 chya kahee daat khulya upasanchatil serve hyperplane 'etch' sathee. jevha resheey pranali 'eff' biin-shrenikrut asate tevha heey pramey vaishishtyapurn pii> 0 madhye dekhil dharan karate. 
samanyikaran.
bertinyche pramey vividh prakare samanyikrut kele gele aahe. udaharanarth, steven cleimanmule honara parinam khaleel goshtinvar thampane thaam aahe (see. eff. cleimanche pramey): jodalelya bijganitiy gatasathi "jee", aanee konatyahi eksandh "jee"-prakarasathi "ex", aanee done prakaransathi "vaay" aanee "zed" mappingsathi "ex", σ ω "varr karya karoo deuun prapt keleli vividhata" vaay "σ asoo dya. mug, 'g' chee eka khulee ghanata asaleli upashirshika 'h' ashee aahe qee σ ω "h" sathee, sootra _ 20 ektar rikame aahe kinwa purnapane (apekshit) pariman mand 'y "+ mand' z" − mand 'x "chey aahe. yavyatirikt, jarr 'y' aanee 'z' gulgulit asateel aanee bases fieldmadhye vaishishtyapurn shoonya asel, tarr 'h' asey ghetale jaau shakate qee sootra _ 20 heey serve sootra _ 22 sathee dekhil gulgulit asel. bertinyche vareel pramey heey vishesh prakaran aahe jethe sootra _ 23 heey varchya trikoni matrixchya parabolic upasamuhadvare ess. ell. 'aine' chey bhagfal mhanoon vyakt kele jaate, 'zed' hii eka upprakar aahe aanee 'vaay' heey eka hyperplane aahe.
bertinyche pramey swatantra moolyankan kshetra kinwa maryadit kshetransathi kinwa "x" chya étale kavaringsathi dekhil samanyikrut kele gele aahe.
pramey anekada preran preran vaparla jaato.

