
samamiteey patali-nirdeshank ankganit

sankhyanche star-nirdeshank (lii) pratinidhitva aanee ankganitiy karyansathiche tyache algoridam, charles clenshaw aanee phrank alver yanni 1984 madhye sadar kele.
lii pranaliche samamiteey swaroop aanee tyache ankganitiy karya 1987 madhye clenshaw aanee pieter turner yanni sadar kele.
michael anuta, daniele losier, nicolaus scabnell aanee turner yanni samamiteey patali-nirdeshank (slide) ankganitacha algoridam vikasit keela aanee tyachi samantar amalbajavani kelee. sliim ankganitiy algoridam vikasit karnyasathi aanee tyancha vistar guntaguntichya aanee vector ankganitiy karyanparyant karnyasathi vyapak kaam kele gele aahe.
vyakhya.
patali-nirdeshank pranalichi kalpana mhanje nakaratmak nasalelya vastavik sankhyeche pratinidhitva karane
jethe sootra _ 2 aanee ghatankanachi prakriya, sootra _ 3 saha vela kelee jaate aanee anukrame patali aanee nirdeshank aahet. lii pratima aahe. udaharanarth,
tyamule tyachi lii pratima aahe
samamiteey swarupacha vapar nakaratmak ghatankanna parvanagi denyasathi keela jaato, jarr pariman 1 peksha qamee asel tarr. eka vyakti teey ghete kinwa sathavate (paraspar chinhasathi + 1 laa 0 neey badallyanantar kaaran lii pratima aahe aanee advitiyapane paribhashit karate aanee aapan tisya sthitishivay door karoo shakato aanee paraspar chinh mhanoon −1 aanee + 1 yaa done avasthansathi fakt eka biit vaparu shakato). ganitiyadrushtya, heey eka chhotya pariman kramankache paraspar (gunakar vyutkram) ghenyaitakech aahe aanee nantar parasparasathi slide pratima shodhanyaitakech aahe. paraspar chinhasathi eka biit vaparane atyant lahan sankhyanche pratinidhitva karnyas saksham karate.
nakaratmak sankhyanna parvanagi denyasathi chinh biit dekhil vaparale jaau shakate. eka vyakti sgn (x) ghete aanee too sathavate (chinhasathi + 1 badallyanantar 0 sathee kaaran lii pratima aahe aanee advitiyapane paribhashit karate aanee aapan tisya sthitishivay kadhoon takoo shakato aanee done avasthansathi fakt eka biit vaparu shakato-1 aanee + 1) chinh mhanoon. ganitiyadrushtya, heey nakaratmak sankhyeche inverse (editive inverse) ghenyaitakech aahe aanee nantar inversasathi slide pratima shodhanyaitakech aahe. chinhasathi eka biit vaparane nakaratmak sankhyanche pratinidhitva karnyas saksham karate.
mapping functionla generalised logrithm function mhanatat. ashee kelee jaate vyakhya
aanee teey sootra _ 7 chaa swatahvar ekaraspane nakasha karate aanee mhanoon yaa madhyantaravar teey ulat karata yete. ulat, samanyikrut ghatankiy karya, dware paribhashit kele jaate
jyaa mulyandware darshavilya jaananya ghanatemadhye konatehi visangati naheet kaaran aapan patalipasoon (eka atishay vanchhaniy gunadharm) varr jaato karanah
samanyikrut laghuganak karya heey algoridamchya sanganak vidnyan vishleshanat vaparlya jaanarya punaravrutti laghugankashi jawalun sambandhit aahe.
aupcharikpane, aapan aniyantrit vastavik (0 kinwa 1 nahee) sathee slide pratinidhitva paribhashit karoo shakato
khaleel samikarananpramane, tyache chinh (yogatmak vyutkram kinwa nahee) kuthe aahe aanee teey paraspar chinh (gunak vyutkram kinwa nahee) kuthe aaheh
tarr = 0 kinwa 1 sathee, aamchyakade aaheh
udaharanarth,
aanee tyache slide pratinidhitva aahe