<?xml version="1.0" encoding="UTF-8"?><OAI-PMH xmlns="http://www.openarchives.org/OAI/2.0/" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xsi:schemaLocation="http://www.openarchives.org/OAI/2.0/ http://www.openarchives.org/OAI/2.0/OAI-PMH.xsd"><responseDate>2026-10-30T01:50:52Z</responseDate><request verb="GetRecord" identifier="oai:bayburt-rdlopen.rawdatalibrary.net:bayburt/13613" metadataPrefix="oai_dc">https://bayburt-rdlopen.rawdatalibrary.net/oai/request</request><GetRecord><record><header><identifier>oai:bayburt-rdlopen.rawdatalibrary.net:bayburt/13613</identifier><datestamp>2026-10-29T19:52:16Z</datestamp><setSpec>openaire</setSpec><setSpec>driver</setSpec><setSpec>com_bayburt_10000</setSpec><setSpec>col_bayburt_10001</setSpec><setSpec>com_bayburt_10007</setSpec><setSpec>col_bayburt_10218</setSpec></header><metadata><oai_dc:dc xmlns:oai_dc="http://www.openarchives.org/OAI/2.0/oai_dc/" xmlns:dc="http://purl.org/dc/elements/1.1/" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xsi:schemaLocation="http://www.openarchives.org/OAI/2.0/oai_dc/ http://www.openarchives.org/OAI/2.0/oai_dc.xsd"><dc:title>An explicit characterization of spherical curves according to Bishop frame and an approximately solution</dc:title><dc:creator>Balki Okullu, Pinar</dc:creator><dc:creator>Kocayigit, Huseyin</dc:creator><dc:creator>Agirman Aydin, Tuba</dc:creator><dc:subject>Bernstein series solution method</dc:subject><dc:subject>Bishop frame</dc:subject><dc:subject>Spherical curve</dc:subject><dc:description>In this paper, spherical curves are studied by using Bishop frame. First, the differential equation characterizing the spherical curves is given. Then, we exhibit that the position vector of a curve which is lying on a sphere satisfies a third-order linear differential equation. Then we solve this linear differential equation by using Bernstein series solution method.</dc:description><dc:publisher>Serbian Society of Heat Transfer Engineers</dc:publisher><dc:date>2019</dc:date><dc:type>Article</dc:type><dc:identifier>https://rdlopen.rawdatalibrary.net/r/bayburt/13613</dc:identifier><dc:identifier>https://doi.org/10.2298/tsci181101049b</dc:identifier><dc:identifier>0354-9836</dc:identifier><dc:language>en</dc:language><dc:relation>Thermal Science</dc:relation><dc:rights>info:eu-repo/semantics/openAccess</dc:rights><dc:type>info:eu-repo/semantics/article</dc:type><dc:identifier>https://bayburt-rdlopen.rawdatalibrary.net/tr/items/bayburt/13613</dc:identifier></oai_dc:dc></metadata></record></GetRecord></OAI-PMH>