
atee-laghuganak

ganitat, atee-laghuganak heey tetrationchya done vyutkram karyanpaiki eka aahe. jyapramane ghatankachi done vyutkram karye asatat, mule aanee laghuganak, tyachpramane tetrationchi done vyutkram karye asatat, super-roots aanee super-laghuganak. atee-laghuganakancha arth lavnyache anek marg aaheth
sakaratmak purnank mulyansathi, aadhar-"eae" asalela atee-laghuganak haah 1 (punaravrutti laghuganak) paryant pohochanyasathi laghuganak kitee vela punaravrutti karane aavashyak aahe yachya samatulya aahe. tathapi, heey nakaratmak mulyansathi kharey nahee aanee mhanoon sampoorn vyakhya manali jaau shakat nahee.
atee-laghuganakachi achook vyakhya hii purnank nasalelya samakalan (mhanje, 'y' sathee sootra _ 1, purnank nahee) chya achook vyakhyevar avalambun asate. purnank nasalelya samakalanchya vyakhyevar konatehi spasht ekmat nahee aanee mhanunach gair-purnank inputsathi atee-laghugankavar dekhil spasht ekmat nahee.
vyakhya.
atee-laghuganak, likhit sootra _ 2 hii apratyakshapane paribhashit kelee jaate
hii vyakhya soochit karate qee atee-laghugankamadhye keval purnank output asoo shakatat aanee teey fakt form sootra _ 5 aanee ashach itaranchya inputsathi paribhashit kele jaate. yaa viral sanchapasun vastavik sankhyanparyant atee-laghuganakache kshetra vistaranyasathi, anek paddhatincha avalamb keela gela aahe. yamadhye samanyatah varr soochibaddha kelelya garajevyatirikt tisari aavashyakta samavisht asate, jee lekhkanusar badalate. heey marg pudhilpramane aaheth
andaj.
samanyatah, vishesh karye keval yuktivadanchya vastavik mulyansathich navhe tarr jatil pratal aanee vibhedak aanee/kinwa avibhajya pratinidhitvasathi, tasech abhisari aanee asymptotic maliketil vistaransathi paribhashit kelee jaatat. tarihi, slogg karyasathi ashee konatihi pratinidhya upalabdh naheet. tathapi, khalee sopya andaj suchavale aahet.
resheey andaj.
atee-laghuganakache resheey andaje asey aaheh
jeey resheey "nirnayak tukada" saha tukadyanchya drushtine paribhashit karya aahe. yaa karyacha gunadharm assa aahe qee too serve vastavik "zed" sathee (sootra _ 7 satat) akhand aahe. haah andaj olakhanare pahile lekhak rubstove aanee romerio hote, jaree teey tyanchya peparmadhye nasale taree teey tyanchya algoridammadhe aadhalu shakate jeey tyanchya software prototypemadhye vaparale jaate. dusarikade, tetrationcha resheey andaj yapurvi dnyat hota, udaharanarth ionis galidakis. heey tetrationchya resheey andajeche naisargik ulat aahe.
holms sarkhya lekhakanna heey maheet aahe qee sanganakachya floating-point ankganitachya pudhil utkrantisathi atee-laghuganak haah eka uttam upayog asel, parantu yaa uddeshasathi, karya anant bhinn asanyachi aavashyakta nahee. asha prakare, mothya sankhyanche pratinidhitva karnyachya uddeshane, resheey andaj drushtikon pureshi satatya (sootra _ 7 satatya) pradan karato jenekarun serve vastavik sankhya atee-laghuganak pramanat darshavalya jaau shaktil.
dvighat andaj.
atee-laghuganakache chaturbhuj andaje asey aaheh
jeey dvighat "nirnayak tukada" asalele tukadyanchya drushtine paribhashit karya aahe. yaa karyacha gunadharm assa aahe qee too serve vastavik "zed" sathee (sootra _ 10 satat) satat aanee bhinn karnyayogya aahe. haah andaj prakashit karnare pahile lekhak yaa peparmadhil andreau robbins hote.
atee-laghuganakachi hii aavrutti, mothya pramanat aadhipasoon nirakaran naan karata, atee-laghugankavar moolbhut ganitachi karye karnyas anumati dete. hii paddhat vaparoon, atee-laghuganak aanee tetrationchya gunadharmanchi moolbhut tapasani thodya pramanat sanganakeey overheads kelee jaau shakate.
ebel karyakade jaane.
ebel karya heey asey konatehi karya aahe jeey ebelchya karyatmak samikaranache samadhan karateh
ebel function sootra dile tarr aanakhi eka upay konatehi sthir sootra _ 13 jodoon prapt keela jaau shakato. asha prakare super-logridam sootra _ 14 dware paribhashit kele gele aahe aanee tisra vishesh gunadharm joou drushtikonanmadhye bhinn aahe, ghatankiy karyache ebel function advitiyapane nirdharit kele jaau shakate.
malmatta.
atee-laghuganak samadhan denari itar samikarane ashee aaheth
ganiteey samasyeche kadachit pahile udaharan jethe samadhan atee-laghuganakachya drushtine vyakt kele jaate, teey khalilpramane aaheh
tetrationchya ulat mhanoon atee-laghuganak.
tetration (kinwa atee-ghatankiy) <ganeet> {\rm sexup} _ bii (zed): =