mathmlben/data/pom/52.xml

Visualization for goldstandard

<?xml version="1.0" ?>
<math type="pom-exported">
  <expression prime-tag="sequence">
    <expression prime-tag="sequence" secondary-tags="accented">
      <term prime-tag="letter" secondary-tags="Latin">u</term>
      <expression prime-tag="underscore" secondary-tags="subscript_operation">
        <term prime-tag="digit" secondary-tags="numeric">1</term>
      </expression>
      <term prime-tag="left parenthesis" secondary-tags="opening delimiter">(</term>
      <term prime-tag="letter" secondary-tags="Latin">x</term>
      <term prime-tag="comma" secondary-tags="punctuation">,</term>
      <term prime-tag="letter" secondary-tags="Latin">z</term>
      <expression prime-tag="underscore" secondary-tags="subscript_operation">
        <term prime-tag="digit" secondary-tags="numeric">1</term>
      </expression>
      <term prime-tag="right parenthesis" secondary-tags="closing delimiter">)</term>
      <term prime-tag="equals">=</term>
      <term prime-tag="letter" secondary-tags="Latin">v</term>
      <expression prime-tag="underscore" secondary-tags="subscript_operation">
        <term prime-tag="digit" secondary-tags="numeric">1</term>
      </expression>
      <term prime-tag="plus">+</term>
      <term prime-tag="letter" secondary-tags="Latin, accented">u</term>
      <expression prime-tag="underscore" secondary-tags="subscript_operation">
        <term prime-tag="letter" secondary-tags="Latin">x</term>
      </expression>
    </expression>
    <expression prime-tag="underscore" secondary-tags="subscript_operation">
      <expression prime-tag="sequence" secondary-tags="subscript">
        <term prime-tag="text">By definition of </term>
        <term prime-tag="letter" secondary-tags="Latin">v</term>
        <expression prime-tag="underscore" secondary-tags="subscript_operation">
          <term prime-tag="digit" secondary-tags="numeric">1</term>
        </expression>
      </expression>
    </expression>
    <term prime-tag="equals">=</term>
    <expression prime-tag="sequence" secondary-tags="accented">
      <term prime-tag="minus">-</term>
      <expression prime-tag="fraction">
        <expression prime-tag="sequence" secondary-tags="numerator">
          <term prime-tag="operator">\partial</term>
          <term prime-tag="letter" secondary-tags="Latin">V</term>
          <expression prime-tag="underscore" secondary-tags="subscript_operation">
            <term prime-tag="letter" secondary-tags="Latin">x</term>
          </expression>
        </expression>
        <expression prime-tag="sequence" secondary-tags="denominator">
          <term prime-tag="operator">\partial</term>
          <term prime-tag="letter" secondary-tags="Latin">x</term>
        </expression>
      </expression>
      <term prime-tag="letter" secondary-tags="Latin">g</term>
      <expression prime-tag="underscore" secondary-tags="subscript_operation">
        <term prime-tag="letter" secondary-tags="Latin">x</term>
      </expression>
      <term prime-tag="left parenthesis" secondary-tags="opening delimiter">(</term>
      <term prime-tag="letter" secondary-tags="Latin">x</term>
      <term prime-tag="right parenthesis" secondary-tags="closing delimiter">)</term>
      <term prime-tag="minus">-</term>
      <term prime-tag="letter" secondary-tags="Latin">k</term>
      <expression prime-tag="underscore" secondary-tags="subscript_operation">
        <term prime-tag="digit" secondary-tags="numeric">1</term>
      </expression>
      <term prime-tag="left parenthesis" secondary-tags="opening delimiter">(</term>
      <expression prime-tag="sequence" secondary-tags="accented">
        <term prime-tag="letter" secondary-tags="Latin">z</term>
        <expression prime-tag="underscore" secondary-tags="subscript_operation">
          <term prime-tag="digit" secondary-tags="numeric">1</term>
        </expression>
        <term prime-tag="minus">-</term>
        <term prime-tag="letter" secondary-tags="Latin">u</term>
        <expression prime-tag="underscore" secondary-tags="subscript_operation">
          <term prime-tag="letter" secondary-tags="Latin">x</term>
        </expression>
        <term prime-tag="left parenthesis" secondary-tags="opening delimiter">(</term>
        <term prime-tag="letter" secondary-tags="Latin">x</term>
        <term prime-tag="right parenthesis" secondary-tags="closing delimiter">)</term>
      </expression>
      <expression prime-tag="underscore" secondary-tags="subscript_operation">
        <expression prime-tag="sequence" secondary-tags="subscript">
          <term prime-tag="letter" secondary-tags="Latin">e</term>
          <expression prime-tag="underscore" secondary-tags="subscript_operation">
            <term prime-tag="digit" secondary-tags="numeric">1</term>
          </expression>
        </expression>
      </expression>
      <term prime-tag="right parenthesis" secondary-tags="closing delimiter">)</term>
    </expression>
    <expression prime-tag="caret" secondary-tags="superscript_operation">
      <expression prime-tag="sequence" secondary-tags="superscript">
        <term prime-tag="letter" secondary-tags="Latin">v</term>
        <expression prime-tag="underscore" secondary-tags="subscript_operation">
          <term prime-tag="digit" secondary-tags="numeric">1</term>
        </expression>
      </expression>
    </expression>
    <term prime-tag="controlled space">\,</term>
    <term prime-tag="plus">+</term>
    <term prime-tag="controlled space">\,</term>
    <expression prime-tag="sequence" secondary-tags="accented">
      <expression prime-tag="fraction">
        <expression prime-tag="sequence" secondary-tags="numerator">
          <term prime-tag="operator">\partial</term>
          <term prime-tag="letter" secondary-tags="Latin">u</term>
          <expression prime-tag="underscore" secondary-tags="subscript_operation">
            <term prime-tag="letter" secondary-tags="Latin">x</term>
          </expression>
        </expression>
        <expression prime-tag="sequence" secondary-tags="denominator">
          <term prime-tag="operator">\partial</term>
          <term prime-tag="letter" secondary-tags="Latin">x</term>
        </expression>
      </expression>
      <term prime-tag="left parenthesis" secondary-tags="opening delimiter">(</term>
      <expression prime-tag="sequence" secondary-tags="accented">
        <term prime-tag="letter" secondary-tags="Latin">f</term>
        <expression prime-tag="underscore" secondary-tags="subscript_operation">
          <term prime-tag="letter" secondary-tags="Latin">x</term>
        </expression>
        <term prime-tag="left parenthesis" secondary-tags="opening delimiter">(</term>
        <term prime-tag="letter" secondary-tags="Latin">x</term>
        <term prime-tag="right parenthesis" secondary-tags="closing delimiter">)</term>
        <term prime-tag="plus">+</term>
        <term prime-tag="letter" secondary-tags="Latin">g</term>
        <expression prime-tag="underscore" secondary-tags="subscript_operation">
          <term prime-tag="letter" secondary-tags="Latin">x</term>
        </expression>
        <term prime-tag="left parenthesis" secondary-tags="opening delimiter">(</term>
        <term prime-tag="letter" secondary-tags="Latin">x</term>
        <term prime-tag="right parenthesis" secondary-tags="closing delimiter">)</term>
        <term prime-tag="letter" secondary-tags="Latin">z</term>
        <expression prime-tag="underscore" secondary-tags="subscript_operation">
          <term prime-tag="digit" secondary-tags="numeric">1</term>
        </expression>
      </expression>
      <expression prime-tag="underscore" secondary-tags="subscript_operation">
        <expression prime-tag="sequence" secondary-tags="subscript">
          <term prime-tag="letter" secondary-tags="Latin, accented">x</term>
          <term prime-tag="text"> (i.e., </term>
          <expression prime-tag="fraction">
            <expression prime-tag="sequence" secondary-tags="numerator">
              <term prime-tag="latex-command">\operatorname</term>
              <term prime-tag="letter" secondary-tags="Latin">d</term>
              <term prime-tag="letter" secondary-tags="Latin">x</term>
            </expression>
            <expression prime-tag="sequence" secondary-tags="denominator">
              <term prime-tag="latex-command">\operatorname</term>
              <term prime-tag="letter" secondary-tags="Latin">d</term>
              <term prime-tag="letter" secondary-tags="Latin">t</term>
            </expression>
          </expression>
          <term prime-tag="text">)</term>
        </expression>
      </expression>
      <term prime-tag="right parenthesis" secondary-tags="closing delimiter">)</term>
    </expression>
    <expression prime-tag="caret" secondary-tags="superscript_operation">
      <expression prime-tag="sequence" secondary-tags="superscript">
        <term prime-tag="letter" secondary-tags="Latin, accented">u</term>
        <expression prime-tag="underscore" secondary-tags="subscript_operation">
          <term prime-tag="letter" secondary-tags="Latin">x</term>
        </expression>
        <term prime-tag="text"> (i.e., </term>
        <expression prime-tag="fraction">
          <expression prime-tag="sequence" secondary-tags="numerator">
            <term prime-tag="latex-command">\operatorname</term>
            <term prime-tag="letter" secondary-tags="Latin">d</term>
            <term prime-tag="letter" secondary-tags="Latin">u</term>
            <expression prime-tag="underscore" secondary-tags="subscript_operation">
              <term prime-tag="letter" secondary-tags="Latin">x</term>
            </expression>
          </expression>
          <expression prime-tag="sequence" secondary-tags="denominator">
            <term prime-tag="latex-command">\operatorname</term>
            <term prime-tag="letter" secondary-tags="Latin">d</term>
            <term prime-tag="letter" secondary-tags="Latin">t</term>
          </expression>
        </expression>
        <term prime-tag="text">)</term>
      </expression>
    </expression>
  </expression>
</math>