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\u043a\u043e\u043c\u043f\u2019\u044e\u0442\u0435\u0440\u043d\u0430 \u0442\u0435\u0445\u043d\u043e\u043b\u043e\u0433\u0456\u044f \u043e\u0431\u0447\u0438\u0441\u043b\u0435\u043d\u043d\u044f \u0406\u0428\u041e\u0424 \u0456\u0437 \u0437\u0430\u0434\u0430\u043d\u0438\u043c\u0438 \u0445\u0430\u0440\u0430\u043a\u0442\u0435\u0440\u0438\u0441\u0442\u0438\u043a\u0430\u043c\u0438 \u044f\u043a\u043e\u0441\u0442\u0456 \u0437\u0430 \u0442\u043e\u0447\u043d\u0456\u0441\u0442\u044e \u0442\u0430 \u0448\u0432\u0438\u0434\u043a\u043e\u0434\u0456\u0454\u044e.","summary":"For the first time, a general theory of computations of integrals from highly oscillatory functions (IHOF) was proposed: Fourier, sine, cosine, wavelet, Bessel, and so on. The theory is based on the theory of calculations, theory of computational errors, general theory of optimal accuracy algorithms, algorithms for detecting and refining a priori information about the subintegral function and the theory of testing algorithms-programs. The quadrature and cubature formulas of calculation of IHOF (in particular, optimal in accuracy on classes of subintegral functions), estimations of their basic quality characteristics and computer technology of calculation of IHOF with the set values of quality characteristics on accuracy and speed are resulted.","\u0447\u0438\u0442\u0430\u0446\u044c\u043a\u0430_\u0430\u0443\u0434\u0438\u0442\u043e\u0440\u0456\u044f":"\u0414\u043b\u044f \u043d\u0430\u0443\u043a\u043e\u0432\u0438\u0445 \u0441\u043f\u0456\u0432\u0440\u043e\u0431\u0456\u0442\u043d\u0438\u043a\u0456\u0432 \u0442\u0430 \u0444\u0430\u0445\u0456\u0432\u0446\u0456\u0432, \u044f\u043a\u0456 \u0437\u0430\u0439\u043c\u0430\u044e\u0442\u044c\u0441\u044f \u0440\u043e\u0437\u0440\u043e\u0431\u043b\u0435\u043d\u043d\u044f\u043c \u0430\u043b\u0433\u043e\u0440\u0438\u0442\u043c\u0456\u0447\u043d\u043e\u0433\u043e \u0442\u0430 \u043f\u0440\u043e\u0433\u0440\u0430\u043c\u043d\u043e\u0433\u043e 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IHOF.","\u0434\u043e\u0434\u0430\u0442\u043a\u0438":"","\u0434\u043e\u0434\u0430\u0442\u043a\u043e\u0432\u0430_\u0456\u043d\u0444\u043e\u0440\u043c\u0430\u0446\u0456\u044f":"","\u043a\u043d\u0438\u0436\u043a\u043e\u0432\u0438\u0439_\u043f\u0440\u043e\u0435\u043a\u0442":394,"\u0434\u0430\u0442\u0430_\u043f\u0443\u0431\u043b\u0456\u043a\u0430\u0446\u0456\u0457":"20230123","\u0434\u0430\u0442\u0430_\u043e\u0442\u0440\u0438\u043c\u0430\u043d\u043d\u044f_\u043d\u0432\u0440":"20230323","\u0442\u0438\u0440\u0430\u0436":50,"\u0441\u0443\u043c\u043d\u0456\u0432\u043d\u0438\u0439_isbn":""},"_links":{"self":[{"href":"https:\/\/nvd-nanu.org.ua\/en\/wp-json\/wp\/v2\/posts\/51776","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/nvd-nanu.org.ua\/en\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/nvd-nanu.org.ua\/en\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/nvd-nanu.org.ua\/en\/wp-json\/wp\/v2\/users\/5"}],"replies":[{"embeddable":true,"href":"https:\/\/nvd-nanu.org.ua\/en\/wp-json\/wp\/v2\/comments?post=51776"}],"version-history":[{"count":1,"href":"https:\/\/nvd-nanu.org.ua\/en\/wp-json\/wp\/v2\/posts\/51776\/revisions"}],"predecessor-version":[{"id":51778,"href":"https:\/\/nvd-nanu.org.ua\/en\/wp-json\/wp\/v2\/posts\/51776\/revisions\/51778"}],"acf:term":[{"embeddable":true,"taxonomy":"knyzhkovyi_proekt","href":"https:\/\/nvd-nanu.org.ua\/en\/wp-json\/wp\/v2\/knyzhkovyi_proekt\/394"},{"embeddable":true,"taxonomy":"vydavnytstvo","href":"https:\/\/nvd-nanu.org.ua\/en\/wp-json\/wp\/v2\/vydavnytstvo\/390"},{"embeddable":true,"taxonomy":"misto","href":"https:\/\/nvd-nanu.org.ua\/en\/wp-json\/wp\/v2\/misto\/335"},{"embeddable":true,"taxonomy":"mova","href":"https:\/\/nvd-nanu.org.ua\/en\/wp-json\/wp\/v2\/mova\/302"},{"embeddable":true,"taxonomy":"vyd_vydannia","href":"https:\/\/nvd-nanu.org.ua\/en\/wp-json\/wp\/v2\/vyd_vydannia\/252"},{"embeddable":true,"taxonomy":"rubryka","href":"https:\/\/nvd-nanu.org.ua\/en\/wp-json\/wp\/v2\/rubryka\/268"},{"embeddable":true,"taxonomy":"typ_vydannia","href":"https:\/\/nvd-nanu.org.ua\/en\/wp-json\/wp\/v2\/typ_vydannia\/259"},{"embeddable":true,"taxonomy":"rik_vydannia","href":"https:\/\/nvd-nanu.org.ua\/en\/wp-json\/wp\/v2\/rik_vydannia\/847"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/nvd-nanu.org.ua\/en\/wp-json\/wp\/v2\/media\/51777"}],"wp:attachment":[{"href":"https:\/\/nvd-nanu.org.ua\/en\/wp-json\/wp\/v2\/media?parent=51776"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/nvd-nanu.org.ua\/en\/wp-json\/wp\/v2\/categories?post=51776"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/nvd-nanu.org.ua\/en\/wp-json\/wp\/v2\/tags?post=51776"},{"taxonomy":"vydavnytstvo","embeddable":true,"href":"https:\/\/nvd-nanu.org.ua\/en\/wp-json\/wp\/v2\/vydavnytstvo?post=51776"},{"taxonomy":"vydavets","embeddable":true,"href":"https:\/\/nvd-nanu.org.ua\/en\/wp-json\/wp\/v2\/vydavets?post=51776"},{"taxonomy":"vyd_vydannia","embeddable":true,"href":"https:\/\/nvd-nanu.org.ua\/en\/wp-json\/wp\/v2\/vyd_vydannia?post=51776"},{"taxonomy":"vyd_periodyka","embeddable":true,"href":"https:\/\/nvd-nanu.org.ua\/en\/wp-json\/wp\/v2\/vyd_periodyka?post=51776"},{"taxonomy":"inshyi_zasnovnyk","embeddable":true,"href":"https:\/\/nvd-nanu.org.ua\/en\/wp-json\/wp\/v2\/inshyi_zasnovnyk?post=51776"},{"taxonomy":"katehoriia_periodyka","embeddable":true,"href":"https:\/\/nvd-nanu.org.ua\/en\/wp-json\/wp\/v2\/katehoriia_periodyka?post=51776"},{"taxonomy":"knyzhkovyi_proekt","embeddable":true,"href":"https:\/\/nvd-nanu.org.ua\/en\/wp-json\/wp\/v2\/knyzhkovyi_proekt?post=51776"},{"taxonomy":"misto","embeddable":true,"href":"https:\/\/nvd-nanu.org.ua\/en\/wp-json\/wp\/v2\/misto?post=51776"},{"taxonomy":"mova","embeddable":true,"href":"https:\/\/nvd-nanu.org.ua\/en\/wp-json\/wp\/v2\/mova?post=51776"},{"taxonomy":"mova_periodyka","embeddable":true,"href":"https:\/\/nvd-nanu.org.ua\/en\/wp-json\/wp\/v2\/mova_periodyka?post=51776"},{"taxonomy":"periodychnist","embeddable":true,"href":"https:\/\/nvd-nanu.org.ua\/en\/wp-json\/wp\/v2\/periodychnist?post=51776"},{"taxonomy":"rozpovsiudzhennia","embeddable":true,"href":"https:\/\/nvd-nanu.org.ua\/en\/wp-json\/wp\/v2\/rozpovsiudzhennia?post=51776"},{"taxonomy":"rik_vydannia","embeddable":true,"href":"https:\/\/nvd-nanu.org.ua\/en\/wp-json\/wp\/v2\/rik_vydannia?post=51776"},{"taxonomy":"rik_zasnuvannia","embeddable":true,"href":"https:\/\/nvd-nanu.org.ua\/en\/wp-json\/wp\/v2\/rik_zasnuvannia?post=51776"},{"taxonomy":"rubryka","embeddable":true,"href":"https:\/\/nvd-nanu.org.ua\/en\/wp-json\/wp\/v2\/rubryka?post=51776"},{"taxonomy":"typ_vydannia","embeddable":true,"href":"https:\/\/nvd-nanu.org.ua\/en\/wp-json\/wp\/v2\/typ_vydannia?post=51776"},{"taxonomy":"typ_periodyka","embeddable":true,"href":"https:\/\/nvd-nanu.org.ua\/en\/wp-json\/wp\/v2\/typ_periodyka?post=51776"},{"taxonomy":"ustanova_nan_ukrainy","embeddable":true,"href":"https:\/\/nvd-nanu.org.ua\/en\/wp-json\/wp\/v2\/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