<?xml version="1.0" encoding="UTF-8"?> <!DOCTYPE book PUBLIC "-//NLM//DTD BITS Book Interchange DTD v2.3 20210610//EN" "BITS-book2.3.dtd"> <book xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:mml="http://www.w3.org/1998/Math/MathML" book-type="conference-proceedings" dtd-version="2.3" xml:lang="ru"> <front> <book-meta>  <book-id book-id-type="isbn">978-5-6048183-6-7</book-id>   <book-id pub-id-type="doi">10.21661/a-821</book-id>   <title-group>  <book-title xml:lang="ru">Научное и образовательное пространство в условиях вызовов современности</book-title>   <trans-title-group xml:lang="en"> <trans-title>Scientific and Educational Areas Under Modern Challenges</trans-title> </trans-title-group>  </title-group>  <description xml:lang="ru"> <p>В сборнике представлены статьи участников Всероссийской научно-практической конференции, посвященные актуальным вопросам науки и образования. В материалах сборника приведены результаты теоретических и прикладных изысканий представителей научного и образовательного сообщества в данной области. Предназначен для широкого круга читателей.
Статьи представлены в авторской редакции.</p> </description>   <contrib-group>  <contrib contrib-type="editor" id="editor1">  <contrib-id contrib-id-type="role">chief_editor</contrib-id>    <name-alternatives>  <name name-style="eastern" xml:lang="ru"> <surname>Широков</surname> <given-names>Олег Николаевич</given-names> </name>   <name name-style="western" xml:lang="en"> <surname>Shirokov</surname> <given-names>Oleg Nikolaevich</given-names> </name>  </name-alternatives>   <email xlink:type="simple">425954@rambler.ru</email> </contrib>  <contrib contrib-type="editor" id="editor2">    <name-alternatives>  <name name-style="eastern" xml:lang="ru"> <surname>Абрамова</surname> <given-names>Людмила Алексеевна</given-names> </name>   <name name-style="western" xml:lang="en"> <surname>Abramova</surname> <given-names>Lyudmila Alexeevna</given-names> </name>  </name-alternatives>   <email xlink:type="simple">labramova@interactive-plus.ru</email> </contrib>  <contrib contrib-type="editor" id="editor3">  <contrib-id contrib-id-type="role">executive_editor</contrib-id>    <name-alternatives>  <name name-style="eastern" xml:lang="ru"> <surname>Яковлева</surname> <given-names>Татьяна Валериановна</given-names> </name>   <name name-style="western" xml:lang="en"> <surname>Yakovleva</surname> <given-names>Tatyana Valerianovna</given-names> </name>  </name-alternatives>   <email xlink:type="simple">info@interactive-plus.ru</email> </contrib>  <contrib contrib-type="editor" id="editor4">  <contrib-id contrib-id-type="role">associate_editor</contrib-id>    <name-alternatives>  <name name-style="eastern" xml:lang="ru"> <surname>Кузнецова</surname> <given-names>Евгения Витальевна</given-names> </name>   <name name-style="western" xml:lang="en"> <surname>Kuznetsova</surname> <given-names>Evgeniia Vitalevna</given-names> </name>  </name-alternatives>   <email xlink:type="simple">op6@interactive-plus.ru</email> </contrib>  </contrib-group>   <contrib-group>  <contrib contrib-type="member-of-organizing-committee" id="orgcomm1">  <contrib-id contrib-id-type="role">chief_editor</contrib-id>    <name-alternatives>  <name name-style="eastern" xml:lang="ru"> <surname>Широков</surname> <given-names>Олег Николаевич</given-names> </name>   <name name-style="western" xml:lang="en"> <surname>Shirokov</surname> <given-names>Oleg Nikolaevich</given-names> </name>  </name-alternatives>   </contrib>  <contrib contrib-type="member-of-organizing-committee" id="orgcomm2">    <name-alternatives>  <name name-style="eastern" xml:lang="ru"> <surname>Абрамова</surname> <given-names>Людмила Алексеевна</given-names> </name>   <name name-style="western" xml:lang="en"> <surname>Abramova</surname> <given-names>Lyudmila Alexeevna</given-names> </name>  </name-alternatives>   </contrib>  <contrib contrib-type="member-of-organizing-committee" id="orgcomm3">    <name-alternatives>  <name name-style="eastern" xml:lang="ru"> <surname>Бекназаров</surname> <given-names>Рахым Агибаевич</given-names> </name>   <name name-style="western" xml:lang="en"> <surname>Beknazarov</surname> <given-names>Rahym Agibaevich</given-names> </name>  </name-alternatives>   </contrib>  <contrib contrib-type="member-of-organizing-committee" id="orgcomm4">    <name-alternatives>  <name name-style="eastern" xml:lang="ru"> <surname>Иваницкий</surname> <given-names>Александр Юрьевич</given-names> </name>   <name name-style="western" xml:lang="en"> <surname>Ivanitsky</surname> <given-names>Aleksandr Yuryevich</given-names> </name>  </name-alternatives>   </contrib>  <contrib contrib-type="member-of-organizing-committee" id="orgcomm5">    <name-alternatives>  <name name-style="eastern" xml:lang="ru"> <surname>Ефремов</surname> <given-names>Александр Юрьевич</given-names> </name>   <name name-style="western" xml:lang="en"> <surname>Efremov</surname> <given-names>Aleksandr Yuryevich</given-names> </name>  </name-alternatives>   </contrib>  <contrib contrib-type="member-of-organizing-committee" id="orgcomm6">    <name-alternatives>  <name name-style="eastern" xml:lang="ru"> <surname>Кутанова</surname> <given-names>Рано Алымбековна</given-names> </name>   <name name-style="western" xml:lang="en"> <surname>Kutanova</surname> <given-names>Rano Alymbekovna</given-names> </name>  </name-alternatives>   </contrib>  </contrib-group>   <event>  <event-desc xml:lang="ru">Научное и образовательное пространство в условиях вызовов современности</event-desc>   <event-desc xml:lang="en">Scientific and Educational Areas Under Modern Challenges</event-desc>   <conf-date> <day>13</day> <month>07</month> <year>2022</year> </conf-date>    <conf-loc xml:lang="ru">Чебоксары</conf-loc>  </event>   <publisher> <publisher-name>Центр научного сотрудничества «Интерактив плюс»</publisher-name> </publisher>    <pub-date pub-type="collection"> <year>2022</year> </pub-date>    <permissions>  <copyright-statement xml:lang="en">© 2022 Andrei V. Pavlov</copyright-statement>   <copyright-statement xml:lang="ru">© 2022 Павлов А. В.</copyright-statement>   <copyright-year>2022</copyright-year>  <copyright-holder xml:lang="ru">Павлов А. В.</copyright-holder>   <copyright-holder xml:lang="en">Andrei V. Pavlov</copyright-holder>    <license license-type="open-access" xlink:href="https://creativecommons.org/licenses/by/4.0/" xml:lang="en" xlink:type="simple"> <license-p>This work is licensed under a Creative Commons Attribution 4.0 International License (CC BY 4.0)</license-p> </license>   <license license-type="open-access" xlink:href="https://creativecommons.org/licenses/by/4.0/" xml:lang="ru" xlink:type="simple"> <license-p>Это произведение доступно по лицензии Creative Commons Attribution 4.0 International (CC BY 4.0)</license-p> </license>   </permissions>  </book-meta> <book-part book-part-type="conference-paper"> <book-part-meta>  <book-id pub-id-type="doi">10.21661/r-557130</book-id>   <book-id custom-type="publisher-id" pub-id-type="custom">557130</book-id> <title-group>  <chapter-title xml:lang="ru">Преобразования Лапласа, ортогональные преобразования, поля сдвигов</chapter-title>   <trans-title-group xml:lang="en"> <trans-title>The transform of Laplace, orthogonal transformations, moving fields</trans-title> </trans-title-group>  </title-group>  <contrib-group>   <contrib contrib-type="author" id="author1">   <name-alternatives>  <name name-style="eastern" xml:lang="ru"> <surname>Павлов</surname> <given-names>Андрей Валерианович</given-names> </name>   <name name-style="western" xml:lang="en"> <surname>Pavlov</surname> <given-names>Andrei Valerianovich</given-names> </name>   </name-alternatives>  <email xlink:type="simple">login11@umail.ru</email> <xref ref-type="aff" rid="aff1"/> </contrib>    <aff-alternatives id="aff1">   <aff xml:lang="ru">  <institution>ФГБОУ ВПО «Московский государственный технический университет радиотехники, электроники и автоматики»</institution>   <country>Россия</country> </aff>    <aff xml:lang="en">  <institution>FSBEI of HE “MIREA – Russian Technological University”</institution>   <country>Russia</country> </aff>   </aff-alternatives>  </contrib-group>   <fpage>8</fpage> <lpage>14</lpage>   <abstract xml:lang="ru"> <p>в статье доказано, что с точки зрения чисел и нового скалярного произведения диагонали произвольного ромба можно считать одинаковыми как результат ортогонального преобразования, переводящего стороны в диагонали в случае, когда длины векторов измеряются в одних и тех же единицах измерения длин на сторонах. Во второй части статьи приведен некоторый класс функций, значения которых восстанавливают только по известным положительным значениям преобразований Лапласа од данных функций. В третьей части статьи приведены примеры, когда отображения точек комплексной плоскости становятся периодичными с произвольным периодом независимо от исходного аналитического отображения (с точки зрения введения двух систем координат).</p> </abstract>      <trans-abstract xml:lang="en"> <p>it is proved in article, that from point of numbers and new scalar work of diagonal of arbitrary rhombus it is possible to consider identical as a result of the orthogonal transformation, when lengths of vectors are measured in the same units of measuring as on sides of the rhombus. In the second part of article some class of functions is resulted: the values of the functions restore on the known positive values of the transform of Laplace. In the third part of article the examples are resulted, when a function of points of complex plane become periodic with the arbitrary period (from point of some introduction of two systems of co-ordinates).</p> </trans-abstract>       <kwd-group xml:lang="ru">  <kwd>оптимальное линейное приближение</kwd>  <kwd>ортогональные преобразования</kwd>  <kwd>обращение преобразования Лапласа</kwd>  <kwd>возникновение периодичности аналитических функций</kwd>  </kwd-group>    <kwd-group xml:lang="en">  <kwd>orthogonal transformations</kwd>  <kwd>linear projection</kwd>  <kwd>transform of Laplace</kwd>  <kwd>moving fields</kwd>  </kwd-group>      </book-part-meta> </book-part> </front>  <back> <ref-list> <title>References</title>  <ref id="ref1"> <label>1</label> <citation-alternatives>  <mixed-citation xml:lang="ru">Pavlov, A. V. About the equality of the transform of Laplace to the transform of Fourier. 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