data/pom/52.xml
<?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>