M\u00fcasir elmin bir s\u0131ra sah\u0259l\u0259rind\u0259 ridge funksiyalar x\u00fcsusi \u0259h\u0259miyy\u0259t k\u0259sb edir. Ridge funksiyalar\u0131n t\u0259bii \u015f\u0259kild\u0259 meydana meydana \u00e7\u0131xd\u0131\u011f\u0131 sah\u0259l\u0259r\u0259 misal olaraq yax\u0131nla\u015fmalar n\u0259z\u0259riyys\u0259ini, x\u00fcsusi t\u00f6r\u0259m\u0259li diferensial t\u0259nlikl\u0259r n\u0259z\u0259riyy\u0259sini, komp\u00fcter tomoqrafiyas\u0131n\u0131 v\u0259 statistikan\u0131 g\u00f6st\u0259rm\u0259k olar.<\/p>\n
Ridge funksiyalar\u0131n geni\u015f t\u0259tbiq tapd\u0131\u011f\u0131 m\u00fcasir elm sah\u0259l\u0259rind\u0259n biri d\u0259 neyron \u015f\u0259b\u0259k\u0259l\u0259r n\u0259z\u0259riyy\u0259sidir. Neyron \u015f\u0259b\u0259k\u0259l\u0259r is\u0259 \u00f6z n\u00f6vb\u0259sind\u0259 komp\u00fcter elmi, maliyy\u0259, tibb, m\u00fch\u0259ndislik, fizika v\u0259 s. kimi biri-birind\u0259n f\u0259rqli sah\u0259l\u0259rd\u0259 istifad\u0259 olunur.<\/p>\n
Bu il Kembric Universitetinin n\u0259\u015friyyat\u0131 t\u0259r\u0259find\u0259n “A.Pinkus, Ridge functions, Cambridge University Press, 2015, 210 pp.” monoqrafiyas\u0131 d\u0259rc edilmi\u015fdir. Monoqrafiya m\u00fc\u0259llifi Allan Pinkus yax\u0131nla\u015fmalar n\u0259z\u0259riyy\u0259sinin tan\u0131nm\u0131\u015f m\u00fct\u0259x\u0259ssil\u0259rind\u0259n biridir. O, “Journal of Approximation Theory”, “Constructive Approximation” kimi n\u00fcfuzlu jurnallar\u0131n redaktorudur. A.Pinkus 2003-2004-c\u00fc ill\u0259rd\u0259 \u0130srail Riyaziyyat C\u0259miyy\u0259tinin prezidenti, 2001 v\u0259 2003-c\u00fc ill\u0259rd\u0259 m\u0259\u015fhur “Wolf Prize” m\u00fckafat\u0131n\u0131n riyaziyyat \u00fczr\u0259 komissiyas\u0131n\u0131n \u00fczv\u00fc, m\u00fcxt\u0259lif ill\u0259rd\u0259 Amerikada “Approximation Theory” \u00fczr\u0259 veril\u0259n yegan\u0259 m\u00fckafat\u0131n t\u0259\u015fkilat komit\u0259sinin \u00fczv\u00fc olmu\u015fdur. O, m\u00fc\u0259yy\u0259n d\u00f6vrl\u0259rd\u0259 bir s\u0131ra apar\u0131c\u0131 universitetl\u0259rd\u0259 o c\u00fcml\u0259d\u0259n, Stanford Universiteti, Kaliforniya Universiteti, Wisconsin Universiteti, Alberta Universiteti, Kembric Universiteti, Moskva D\u00f6vl\u0259t Universiteti v\u0259 s. universitetl\u0259rd\u0259 elmi f\u0259aliyy\u0259t g\u00f6st\u0259rmi\u015fdir, hal-haz\u0131rda Texnion-\u0130srail Texnologiyalar \u0130nstitutunun professorudur.<\/p>\n
Monoqrafiya ridge funksiyalar\u0131n sistematik \u015f\u0259kild\u0259 t\u0259dqiqin\u0259 h\u0259sr olunmu\u015fdur. O, 12 f\u0259sild\u0259n ibar\u0259tdir. Monoqrafiyan\u0131n giri\u015f hiss\u0259sind\u0259 ridge funksiyalar\u0131n riyaziyyat\u0131n m\u00fcxt\u0259lif sah\u0259l\u0259rind\u0259 oynad\u0131\u011f\u0131 \u0259h\u0259miyy\u0259tli roldan b\u0259hs edilir. Burada ridge funksiyalar\u0131n Furye \u00e7evirm\u0259si, Radon \u00e7evirm\u0259si kimi anlay\u0131\u015flar\u0131n t\u0259rifl\u0259rin\u0259 daxil olmas\u0131, bir s\u0131ra y\u00fcks\u0259k t\u0259rtibli x\u00fcsusi t\u00f6r\u0259m\u0259li diferensial t\u0259nlikl\u0259rin h\u0259lli olmas\u0131, komp\u00fcter tomoqrafiyas\u0131n\u0131n riyazi m\u0259s\u0259l\u0259l\u0259rind\u0259 meydana \u00e7\u0131xmas\u0131, statistikan\u0131n proyektiv izl\u0259m\u0259 alqoritml\u0259rind\u0259 istifad\u0259 edilm\u0259si v\u0259 neyron \u015f\u0259b\u0259k\u0259l\u0259r n\u0259z\u0259riyy\u0259sind\u0259 geni\u015f t\u0259tbiq tapmas\u0131 x\u00fcsusi vur\u011fulan\u0131r. Monoqrafiyan\u0131n n\u00f6vb\u0259ti f\u0259sill\u0259ri ard\u0131c\u0131l olaraq ridge funksiyalarla g\u00f6st\u0259rili\u015fin hamarl\u0131\u011f\u0131na, yegan\u0259liyin\u0259, g\u00f6st\u0259rili\u015fd\u0259 i\u015ftirak ed\u0259n funksiyalar\u0131n tap\u0131lmas\u0131na, polinomial ridge funksiyalara, ridge funksiyalar \u00e7oxlu\u011funun s\u0131xl\u0131q v\u0259 qapal\u0131l\u0131q \u00a0m\u0259s\u0259l\u0259l\u0259rin\u0259, \u0259n yax\u015f\u0131 yax\u0131nla\u015fma ver\u0259n ridge funksiyan\u0131n varl\u0131\u011f\u0131 v\u0259 xarakterizasiyas\u0131na, yax\u0131nla\u015fma alqoritml\u0259rin\u0259, n\u00f6qt\u0259l\u0259r, d\u00fcz x\u0259tl\u0259r v\u0259 \u00e7oxluqlar \u00fcz\u0259rind\u0259 interpolyasiya m\u0259s\u0259l\u0259l\u0259rin\u0259 h\u0259sr edilmi\u015fdir.<\/p>\n
Monoqrafiyada “Funksiyalar n\u0259z\u0259riyy\u0259si” \u015f\u00f6b\u0259sinin m\u00fcdiri V\u00fcqar Ismay\u0131lovun da ald\u0131\u011f\u0131 n\u0259tic\u0259l\u0259r yer alm\u0131\u015fd\u0131r. Kitabda V\u00fcqar \u0130smay\u0131lovun ekstremal ridge funksiyas\u0131 \u00fc\u00e7\u00fcn \u00c7eb\u0131\u015fev tipli xarakterizasiya teoremi, sonsuz \u00e7oxluqlarda interpolyasiya (v\u0259 ya g\u00f6st\u0259rili\u015f) haqq\u0131nda teoremi isbatlar\u0131 il\u0259 birg\u0259 \u0259trafl\u0131 i\u015f\u0131qland\u0131r\u0131l\u0131m\u0131\u015fd\u0131r. Monoqrafiyan\u0131n son f\u0259sli \u00a0monoqrafiya m\u00fc\u0259llifi Allan Pinkusun V\u00fcqar \u0130smay\u0131lovla birg\u0259 ald\u0131\u011f\u0131 n\u0259tic\u0259l\u0259r\u0259 h\u0259sr olunmu\u015fdur. Bu f\u0259sild\u0259 ridge funksiyalarla n \u00f6l\u00e7\u00fcl\u00fc Evklid f\u0259zas\u0131n\u0131n d\u00fcz x\u0259tl\u0259ri \u00fcz\u0259rind\u0259 interpolyasiya m\u0259s\u0259l\u0259si ara\u015fd\u0131r\u0131l\u0131m\u0131\u015f v\u0259 bir s\u0131ra teoreml\u0259r isbat edilmi\u015fdir.<\/p>\n","protected":false},"excerpt":{"rendered":"
M\u00fcasir elmin bir s\u0131ra sah\u0259l\u0259rind\u0259 ridge funksiyalar x\u00fcsusi \u0259h\u0259miyy\u0259t k\u0259sb edir. Ridge funksiyalar\u0131n t\u0259bii \u015f\u0259kild\u0259 meydana meydana \u00e7\u0131xd\u0131\u011f\u0131 sah\u0259l\u0259r\u0259 misal olaraq yax\u0131nla\u015fmalar n\u0259z\u0259riyys\u0259ini, x\u00fcsusi t\u00f6r\u0259m\u0259li diferensial t\u0259nlikl\u0259r n\u0259z\u0259riyy\u0259sini, komp\u00fcter tomoqrafiyas\u0131n\u0131 v\u0259 statistikan\u0131 g\u00f6st\u0259rm\u0259k olar. Ridge funksiyalar\u0131n geni\u015f t\u0259tbiq tapd\u0131\u011f\u0131 m\u00fcasir elm sah\u0259l\u0259rind\u0259n biri d\u0259 neyron \u015f\u0259b\u0259k\u0259l\u0259r n\u0259z\u0259riyy\u0259sidir. Neyron \u015f\u0259b\u0259k\u0259l\u0259r is\u0259 \u00f6z n\u00f6vb\u0259sind\u0259 komp\u00fcter elmi, maliyy\u0259, […]<\/p>\n","protected":false},"author":6,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[77],"tags":[],"_links":{"self":[{"href":"https:\/\/www.imm.az\/exp\/wp-json\/wp\/v2\/posts\/5429"}],"collection":[{"href":"https:\/\/www.imm.az\/exp\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.imm.az\/exp\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.imm.az\/exp\/wp-json\/wp\/v2\/users\/6"}],"replies":[{"embeddable":true,"href":"https:\/\/www.imm.az\/exp\/wp-json\/wp\/v2\/comments?post=5429"}],"version-history":[{"count":1,"href":"https:\/\/www.imm.az\/exp\/wp-json\/wp\/v2\/posts\/5429\/revisions"}],"predecessor-version":[{"id":5430,"href":"https:\/\/www.imm.az\/exp\/wp-json\/wp\/v2\/posts\/5429\/revisions\/5430"}],"wp:attachment":[{"href":"https:\/\/www.imm.az\/exp\/wp-json\/wp\/v2\/media?parent=5429"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.imm.az\/exp\/wp-json\/wp\/v2\/categories?post=5429"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.imm.az\/exp\/wp-json\/wp\/v2\/tags?post=5429"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}