<?xml version="1.0" encoding="UTF-8"?>
<article xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:mml="http://www.w3.org/1998/Math/MathML" dtd-version="1.4" article-type="research-article">
  <front>
    <journal-meta>
      <journal-id journal-id-type="issn">2411-3336</journal-id>
      <journal-id journal-id-type="eissn">2541-9404</journal-id>
      <journal-title-group>
        <journal-title xml:lang="ru">Записки Горного института</journal-title>
        <journal-title xml:lang="en">Journal of Mining Institute</journal-title>
      </journal-title-group>
      <publisher>
        <publisher-name xml:lang="ru">Санкт-Петербургский горный университет императрицы Екатерины ΙΙ</publisher-name>
        <publisher-name xml:lang="en">Empress Catherine II Saint Petersburg Mining University</publisher-name>
      </publisher>
    </journal-meta>
    <article-meta>
      <article-id custom-type="pmi" pub-id-type="custom">pmi-13020</article-id>
      <article-id pub-id-type="uri">https://pmi.spmi.ru/pmi/article/view/13020</article-id>
      <article-categories>
        <subj-group subj-group-type="section-heading" xml:lang="ru">
          <subject>Без раздела</subject>
        </subj-group>
        <subj-group subj-group-type="section-heading" xml:lang="en">
          <subject>Without section</subject>
        </subj-group>
      </article-categories>
      <title-group>
        <article-title xml:lang="en">Tensor representation of vectorial errors</article-title>
        <trans-title-group xml:lang="ru">
          <trans-title>Тензорное представление векториальных погрешностей</trans-title>
        </trans-title-group>
      </title-group>
      <contrib-group>
        <contrib contrib-type="author" corresp="yes">
          <name name-style="eastern">
            <surname>Korobkov</surname>
            <given-names>S. A.</given-names>
          </name>
          <name-alternatives>
            <name name-style="eastern" xml:lang="ru">
              <surname>Коробков</surname>
              <given-names>С. А.</given-names>
            </name>
            <name name-style="western" xml:lang="en">
              <surname>Korobkov</surname>
              <given-names>S. A.</given-names>
            </name>
          </name-alternatives>
          <email>pmi@spmi.ru</email>
          <xref ref-type="aff" rid="aff1"/>
        </contrib>
        <aff-alternatives id="aff1">
          <aff>
            <institution xml:lang="ru"/>
          </aff>
          <aff>
            <institution xml:lang="en"/>
          </aff>
        </aff-alternatives>
      </contrib-group>
      <pub-date pub-type="epub" iso-8601-date="1958-04-16">
        <day>16</day>
        <month>04</month>
        <year>1958</year>
      </pub-date>
      <pub-date date-type="collection">
        <year>1958</year>
      </pub-date>
      <volume>37</volume>
      <issue>1</issue>
      <fpage>117</fpage>
      <lpage>123</lpage>
      <history>
        <date date-type="received" iso-8601-date="1957-07-11">
          <day>11</day>
          <month>07</month>
          <year>1957</year>
        </date>
        <date date-type="accepted" iso-8601-date="1957-09-11">
          <day>11</day>
          <month>09</month>
          <year>1957</year>
        </date>
        <date date-type="rev-recd" iso-8601-date="1958-04-16">
          <day>16</day>
          <month>04</month>
          <year>1958</year>
        </date>
      </history>
      <permissions>
        <copyright-statement xml:lang="ru">© 1958 С. А. Коробков</copyright-statement>
        <copyright-statement xml:lang="en">© 1958 S. A. Korobkov</copyright-statement>
        <copyright-year>1958</copyright-year>
        <copyright-holder xml:lang="ru">С. А. Коробков</copyright-holder>
        <copyright-holder xml:lang="en">S. A. Korobkov</copyright-holder>
        <license license-type="open-access" xlink:href="http://creativecommons.org/licenses/by/4.0" xml:lang="ru">
          <license-p>Эта статья доступна по лицензии Creative Commons Attribution 4.0 International (CC BY 4.0)</license-p>
        </license>
        <license license-type="open-access" xlink:href="http://creativecommons.org/licenses/by/4.0" xml:lang="en">
          <license-p>This article is licensed under a Creative Commons Attribution 4.0 International License (CC BY 4.0)</license-p>
        </license>
      </permissions>
      <self-uri xlink:type="simple" xlink:href="https://pmi.spmi.ru/pmi/article/view/13020">https://pmi.spmi.ru/pmi/article/view/13020</self-uri>
      <abstract xml:lang="ru">
        <p>В теории векториальных погрешностей имеют место некоторые дей­ствия с. направленными погрешностями, например, сложение векто­риальных ошибок, сложение эллипсных ошибок, сложение эллипсной и векториальных ошибок, разложение векториальных ошибок. Эти во­просы разработаны и подробно изложены Н. Г. Келль в его труде «Гра­фический метод в действиях с погрешностями и положениями». Автор производит операции с направленными погрешностями при помощи ве­личины R и r — арифметического и геометрического элементов эллипса ошибок. Действия эти носят характер специальных правил. С позиций тензорной алгебры решение этих вопросов сводится к некоторым про­стейшим операциям алгебры тензоров.</p>
      </abstract>
      <abstract xml:lang="en">
        <p>In the theory of vectorial errors there are some operations with. directional errors, such as the addition of vectorial errors, the addition of elliptic errors, the addition of elliptic and vectorial errors, and the decomposition of vectorial errors. These issues are developed and detailed by N. G. Kell in his work “Graphical Method in Operations with Errors and Positions”. The author performs operations with directional errors by means of the value R and g-arithmetic and geometric elements of the error ellipse. These operations have the character of special rules. From the positions of tensor algebra the solution of these questions is reduced to some simplest operations of tensor algebra.</p>
      </abstract>
    </article-meta>
  </front>
  <body/>
  <back>
    <ref-list>
      <ref id="ref1">
        <label>1</label>
        <mixed-citation xml:lang="ru">-</mixed-citation>
        <mixed-citation xml:lang="en">-</mixed-citation>
      </ref>
    </ref-list>
  </back>
</article>
