<?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">978-5-908083-76-8</book-id>   <book-id pub-id-type="doi">10.31483/a-10848</book-id>   <title-group>  <book-title xml:lang="ru">Развитие современного образования в контексте педагогической (образовательной) компетенциологии</book-title>   <trans-title-group xml:lang="en"> <trans-title>The development of modern education in the context of educational competence</trans-title> </trans-title-group>  </title-group>  <description xml:lang="ru"> <p>В сборнике представлены статьи участников VI Всероссийской научной конференции с международным участием, посвященные педагогике и образованию. В материалах сборника приведены результаты теоретических и прикладных изысканий представителей научного и образовательного сообщества в области просвещения и образования России.</p> </description>   <contrib-group>  <contrib contrib-type="editor" id="editor1">    <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">oleg_shirokov_1970@mail.ru</email> </contrib>  <contrib contrib-type="editor" id="editor2">    <name-alternatives>  <name name-style="eastern" xml:lang="ru"> <surname>Поверинов</surname> <given-names>Игорь Егорович</given-names> </name>   </name-alternatives>    </contrib>  <contrib contrib-type="editor" id="editor3">    <name-alternatives>  <name name-style="eastern" xml:lang="ru"> <surname>Григорьев</surname> <given-names>Александр Владимирович</given-names> </name>   <name name-style="western" xml:lang="en"> <surname>Grigor&#039;ev</surname> <given-names>Aleksandr Vladimirovich</given-names> </name>  </name-alternatives>  <contrib-id contrib-id-type="orcid">https://orcid.org/0000-0001-7530-7937</contrib-id> <email xlink:type="simple">postgav@yandex.ru</email> </contrib>  <contrib contrib-type="editor" id="editor4">  <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">oleg_shirokov_1970@mail.ru</email> </contrib>  <contrib contrib-type="editor" id="editor5">    <name-alternatives>  <name name-style="eastern" xml:lang="ru"> <surname>Харитонов</surname> <given-names>Михаил Юрьевич</given-names> </name>   <name name-style="western" xml:lang="en"> <surname>Kharitonov</surname> <given-names>Mikhail Iurevich</given-names> </name>  </name-alternatives>   <email xlink:type="simple">muha21@mail.ru</email> </contrib>  <contrib contrib-type="editor" id="editor6">    <name-alternatives>  <name name-style="eastern" xml:lang="ru"> <surname>Иванова</surname> <given-names>Татьяна Николаевна</given-names> </name>   <name name-style="western" xml:lang="en"> <surname>Ivanova</surname> <given-names>Tatiana Nikolaevna</given-names> </name>  </name-alternatives>  <contrib-id contrib-id-type="orcid">https://orcid.org/0000-0003-2428-2578</contrib-id> <email xlink:type="simple">tivanovan@mail.ru</email> </contrib>  </contrib-group>   <contrib-group>  <contrib contrib-type="member-of-organizing-committee" id="orgcomm1">    <name-alternatives>  <name name-style="eastern" xml:lang="ru"> <surname>Поверинов</surname> <given-names>Игорь Егорович</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>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="orgcomm3">    <name-alternatives>  <name name-style="eastern" xml:lang="ru"> <surname>Харитонов</surname> <given-names>Михаил Юрьевич</given-names> </name>   <name name-style="western" xml:lang="en"> <surname>Kharitonov</surname> <given-names>Mikhail Iurevich</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>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="orgcomm5">    <name-alternatives>  <name name-style="eastern" xml:lang="ru"> <surname>Григорьев</surname> <given-names>Александр Владимирович</given-names> </name>   <name name-style="western" xml:lang="en"> <surname>Grigor&#039;ev</surname> <given-names>Aleksandr Vladimirovich</given-names> </name>  </name-alternatives>  <contrib-id contrib-id-type="orcid">https://orcid.org/0000-0001-7530-7937</contrib-id> </contrib>  <contrib contrib-type="member-of-organizing-committee" id="orgcomm6">    <name-alternatives>  <name name-style="eastern" xml:lang="ru"> <surname>Иванова</surname> <given-names>Татьяна Николаевна</given-names> </name>   <name name-style="western" xml:lang="en"> <surname>Ivanova</surname> <given-names>Tatiana Nikolaevna</given-names> </name>  </name-alternatives>  <contrib-id contrib-id-type="orcid">https://orcid.org/0000-0003-2428-2578</contrib-id> </contrib>  <contrib contrib-type="member-of-organizing-committee" id="orgcomm7">    <name-alternatives>  <name name-style="eastern" xml:lang="ru"> <surname>Михайлова</surname> <given-names>Светлана Юрьевна</given-names> </name>   <name name-style="western" xml:lang="en"> <surname>Mikhailova</surname> <given-names>Svetlana Iurevna</given-names> </name>  </name-alternatives>   </contrib>  <contrib contrib-type="member-of-organizing-committee" id="orgcomm8">    <name-alternatives>  <name name-style="eastern" xml:lang="ru"> <surname>Харитонов</surname> <given-names>Михаил Юрьевич</given-names> </name>   <name name-style="western" xml:lang="en"> <surname>Kharitonov</surname> <given-names>Mikhail Iurevich</given-names> </name>  </name-alternatives>   </contrib>  <contrib contrib-type="member-of-organizing-committee" id="orgcomm9">    <name-alternatives>  <name name-style="eastern" xml:lang="ru"> <surname>Григорьев</surname> <given-names>Александр Владимирович</given-names> </name>   <name name-style="western" xml:lang="en"> <surname>Grigor&#039;ev</surname> <given-names>Aleksandr Vladimirovich</given-names> </name>  </name-alternatives>  <contrib-id contrib-id-type="orcid">https://orcid.org/0000-0001-7530-7937</contrib-id> </contrib>  <contrib contrib-type="member-of-organizing-committee" id="orgcomm10">    <name-alternatives>  <name name-style="eastern" xml:lang="ru"> <surname>Карпов</surname> <given-names>Алексей Валентинович</given-names> </name>   <name name-style="western" xml:lang="en"> <surname>Karpov</surname> <given-names>Aleksei Valentinovich</given-names> </name>  </name-alternatives>  <contrib-id contrib-id-type="orcid">https://orcid.org/0000-0003-0770-5129</contrib-id> </contrib>  <contrib contrib-type="member-of-organizing-committee" id="orgcomm11">    <name-alternatives>  <name name-style="eastern" xml:lang="ru"> <surname>Чибис</surname> <given-names>Александр Алексеевич</given-names> </name>   <name name-style="western" xml:lang="en"> <surname>Chibis</surname> <given-names>Aleksandr Alekseevich</given-names> </name>  </name-alternatives>   </contrib>  <contrib contrib-type="member-of-organizing-committee" id="orgcomm12">    <name-alternatives>  <name name-style="eastern" xml:lang="ru"> <surname>Величко</surname> <given-names>Светлана Валентиновна</given-names> </name>   <name name-style="western" xml:lang="en"> <surname>Velichko</surname> <given-names>Svetlana Valentinovna</given-names> </name>  </name-alternatives>   </contrib>  </contrib-group>   <event>  <event-desc xml:lang="ru">Развитие современного образования в контексте педагогической (образовательной) компетенциологии</event-desc>   <event-desc xml:lang="en">The development of modern education in the context of educational competence</event-desc>   <conf-date> <day>20</day> <month>03</month> <year>2026</year> </conf-date>    <conf-loc xml:lang="ru">Чебоксары</conf-loc>  </event>   <publisher> <publisher-name>ИД «Среда»</publisher-name> </publisher>    <pub-date date-type="collection" publication-format="electronic" iso-8601-date="1900"> <year>1900</year> </pub-date>    <permissions>  <copyright-statement xml:lang="en">© 2026 Nikolai V. Sadovnikov, Galiia A. Sultanova, Anna V. Kuzovnikova</copyright-statement>   <copyright-statement xml:lang="ru">© 2026 Садовников Н. В., Султанова Г. А., Кузовникова А. В.</copyright-statement>   <copyright-year>2026</copyright-year>  <copyright-holder xml:lang="ru">Садовников Н. В., Султанова Г. А., Кузовникова А. В.</copyright-holder>   <copyright-holder xml:lang="en">Nikolai V. Sadovnikov, Galiia A. Sultanova, Anna V. Kuzovnikova</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 custom-type="publisher-id" pub-id-type="custom">154883</book-id> <title-group>  <chapter-title xml:lang="ru">Методические особенности решения оптимизационных задач военно-прикладного характера на практических занятиях по высшей математике</chapter-title>   <trans-title-group xml:lang="en"> <trans-title>Metodicheskie osobennosti resheniia optimizatsionnykh zadach voenno-prikladnogo kharaktera na prakticheskikh zaniatiiakh po vysshei matematike</trans-title> </trans-title-group>  </title-group>  <contrib-group>   <contrib contrib-type="author" id="author1"> <contrib-id contrib-id-type="orcid">https://orcid.org/0000-0002-9615-448X</contrib-id>  <name-alternatives>  <name name-style="eastern" xml:lang="ru"> <surname>Садовников</surname> <given-names>Николай Владимирович</given-names> </name>   <name name-style="western" xml:lang="en"> <surname>Sadovnikov</surname> <given-names>Nikolai Vladimirovich</given-names> </name>   </name-alternatives>  <email xlink:type="simple">sadovnikovnv@yandex.ru</email> <xref ref-type="aff" rid="aff1"/> </contrib>   <contrib contrib-type="author" id="author2">   <name-alternatives>  <name name-style="eastern" xml:lang="ru"> <surname>Султанова</surname> <given-names>Галия Алиевна</given-names> </name>   <name name-style="western" xml:lang="en"> <surname>Sultanova</surname> <given-names>Galiia Alievna</given-names> </name>   </name-alternatives>  <email xlink:type="simple">sultgaliya@yandex.ru</email> <xref ref-type="aff" rid="aff1"/> </contrib>   <contrib contrib-type="author" id="author3">   <name-alternatives>  <name name-style="eastern" xml:lang="ru"> <surname>Кузовникова</surname> <given-names>Анна Владимировна</given-names> </name>   <name name-style="western" xml:lang="en"> <surname>Kuzovnikova</surname> <given-names>Anna Vladimirovna</given-names> </name>   </name-alternatives>  <email xlink:type="simple">apanasevich1@yandex.ru</email> <xref ref-type="aff" rid="aff1"/> </contrib>    <aff-alternatives id="aff1">   <aff xml:lang="ru">  <institution>Филиал ФГКВОУ ВО «Военная академия материально-технического обеспечения им. генерала армии А.В. Хрулева» Министерства обороны Российской Федерации в г. Пензе</institution>   <country>Россия</country> </aff>    <aff xml:lang="en">  <institution>FGKVOU VPO &quot;Penzenskii filial Voennoi akademii material&#039;no-tekhnicheskogo obespecheniia im. generala armii A.V. Khruleva&quot; Ministerstva oborony Rossiiskoi Federatsii</institution>   <country>Russia</country> </aff>   </aff-alternatives>  </contrib-group>   <fpage>242</fpage> <lpage>247</lpage>   <abstract xml:lang="ru"> <p>в статье выявлены методические особенности решения оптимизационных задач военно-прикладного характера двух основных видов. Первый вид связан с нахождением условий, при которых достигается экстремальное значение величины, выраженной функционально. При этом сама функция (как модель) уже получена. Второй вид задач акцент делает на формирование умений по составлению математической модели. В зависимости от этих видов оптимизационных задач будут смещаться и методические акценты при работе над ними.</p> </abstract>           <kwd-group xml:lang="ru">  <kwd>математическое моделирование</kwd>  <kwd>оптимизационная задача</kwd>  <kwd>линейное и нелинейное программирование</kwd>  <kwd>методы дифференциального исчисления</kwd>  <kwd>аналитический метод</kwd>  <kwd>внутримодельное решение</kwd>  <kwd>критическая точка</kwd>  <kwd>необходимое условие экстремума функции одной переменной</kwd>  <kwd>достаточное условие экстремума функции одной переменной</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">Садовников Н.В. Логико-математические методы в экономике / Н.В. Садовников. – Пенза: Пенз. технол. ин-т, 2003. – 147 с.</mixed-citation>    </citation-alternatives> <element-citation publication-type="other">  <person-group person-group-type="author">  <name> <surname>Садовников</surname> <given-names>Н. В.</given-names> </name>  </person-group>   <article-title>Логико-математические методы в экономике</article-title>               <publisher-loc>Пенза</publisher-loc> <publisher-name>Пенз. технол. ин-т</publisher-name>  </element-citation> </ref>  <ref id="ref2"> <label>2</label> <citation-alternatives>  <mixed-citation xml:lang="ru">Соколова З.П. Математика: производная и ее приложения в военно-технических расчетах / З.П. Соколова. – Пенза: ПАИИ, 2009. – 150 с.</mixed-citation>    </citation-alternatives> <element-citation publication-type="other">  <person-group person-group-type="author">  <name> <surname>Соколова</surname> <given-names>З. П.</given-names> </name>  </person-group>   <article-title>Математика: производная и ее приложения в военно-технических расчетах</article-title>               <publisher-loc>Пенза</publisher-loc> <publisher-name>ПАИИ</publisher-name>  </element-citation> </ref>  </ref-list> </back>  </book>