data/mathoid/184.mml
<math
xmlns="http://www.w3.org/1998/Math/MathML" display="block" alttext="sigma-summation Underscript script l equals 0 Overscript n Endscripts upper T Subscript script l Baseline left-parenthesis x right-parenthesis x Superscript n minus script l Baseline equals upper U Subscript n Baseline left-parenthesis x right-parenthesis">
<semantics>
<mrow data-semantic-type="relseq" data-semantic-role="equality" data-semantic-id="35" data-semantic-children="34,29" data-semantic-content="20">
<mrow data-semantic-type="bigop" data-semantic-role="sum" data-semantic-id="34" data-semantic-children="6,33" data-semantic-content="0" data-semantic-parent="35">
<munderover data-semantic-type="limboth" data-semantic-role="sum" data-semantic-id="6" data-semantic-children="0,4,5" data-semantic-parent="34">
<mo data-semantic-type="largeop" data-semantic-role="sum" data-semantic-id="0" data-semantic-parent="6" data-semantic-operator="bigop">∑
<!-- ∑ -->
</mo>
<mrow class="MJX-TeXAtom-ORD" data-semantic-type="relseq" data-semantic-role="equality" data-semantic-id="4" data-semantic-children="1,3" data-semantic-content="2" data-semantic-parent="6">
<mi data-semantic-type="identifier" data-semantic-role="latinletter" data-semantic-font="script" data-semantic-id="1" data-semantic-parent="4">ℓ
<!-- ℓ -->
</mi>
<mo data-semantic-type="relation" data-semantic-role="equality" data-semantic-id="2" data-semantic-parent="4" data-semantic-operator="relseq,=">=</mo>
<mn data-semantic-type="number" data-semantic-role="integer" data-semantic-font="normal" data-semantic-id="3" data-semantic-parent="4">0</mn>
</mrow>
<mrow class="MJX-TeXAtom-ORD">
<mi data-semantic-type="identifier" data-semantic-role="latinletter" data-semantic-font="italic" data-semantic-id="5" data-semantic-parent="6">n</mi>
</mrow>
</munderover>
<mrow data-semantic-type="infixop" data-semantic-role="implicit" data-semantic-id="33" data-semantic-children="31,19" data-semantic-content="32" data-semantic-parent="34">
<mrow data-semantic-type="appl" data-semantic-role="simple function" data-semantic-id="31" data-semantic-children="9,13" data-semantic-content="30,7" data-semantic-parent="33">
<msub data-semantic-type="subscript" data-semantic-role="simple function" data-semantic-id="9" data-semantic-children="7,8" data-semantic-parent="31">
<mi data-semantic-type="identifier" data-semantic-role="simple function" data-semantic-font="italic" data-semantic-id="7" data-semantic-parent="9" data-semantic-operator="appl">T</mi>
<mrow class="MJX-TeXAtom-ORD">
<mi data-semantic-type="identifier" data-semantic-role="latinletter" data-semantic-font="script" data-semantic-id="8" data-semantic-parent="9">ℓ
<!-- ℓ -->
</mi>
</mrow>
</msub>
<mo data-semantic-type="punctuation" data-semantic-role="application" data-semantic-id="30" data-semantic-parent="31" data-semantic-added="true" data-semantic-operator="appl"></mo>
<mrow data-semantic-type="fenced" data-semantic-role="leftright" data-semantic-id="13" data-semantic-children="11" data-semantic-content="10,12" data-semantic-parent="31">
<mo data-semantic-type="fence" data-semantic-role="open" data-semantic-id="10" data-semantic-parent="13" data-semantic-operator="fenced">(</mo>
<mi data-semantic-type="identifier" data-semantic-role="latinletter" data-semantic-font="italic" data-semantic-id="11" data-semantic-parent="13">x</mi>
<mo data-semantic-type="fence" data-semantic-role="close" data-semantic-id="12" data-semantic-parent="13" data-semantic-operator="fenced">)</mo>
</mrow>
</mrow>
<mo data-semantic-type="operator" data-semantic-role="multiplication" data-semantic-id="32" data-semantic-parent="33" data-semantic-added="true" data-semantic-operator="infixop,"></mo>
<msup data-semantic-type="superscript" data-semantic-role="latinletter" data-semantic-id="19" data-semantic-children="14,18" data-semantic-parent="33">
<mi data-semantic-type="identifier" data-semantic-role="latinletter" data-semantic-font="italic" data-semantic-id="14" data-semantic-parent="19">x</mi>
<mrow class="MJX-TeXAtom-ORD" data-semantic-type="infixop" data-semantic-role="subtraction" data-semantic-id="18" data-semantic-children="15,17" data-semantic-content="16" data-semantic-parent="19">
<mi data-semantic-type="identifier" data-semantic-role="latinletter" data-semantic-font="italic" data-semantic-id="15" data-semantic-parent="18">n</mi>
<mo data-semantic-type="operator" data-semantic-role="subtraction" data-semantic-id="16" data-semantic-parent="18" data-semantic-operator="infixop,−">−
<!-- − -->
</mo>
<mi data-semantic-type="identifier" data-semantic-role="latinletter" data-semantic-font="script" data-semantic-id="17" data-semantic-parent="18">ℓ
<!-- ℓ -->
</mi>
</mrow>
</msup>
</mrow>
</mrow>
<mo data-semantic-type="relation" data-semantic-role="equality" data-semantic-id="20" data-semantic-parent="35" data-semantic-operator="relseq,=">=</mo>
<mrow data-semantic-type="appl" data-semantic-role="simple function" data-semantic-id="29" data-semantic-children="23,27" data-semantic-content="28,21" data-semantic-parent="35">
<msub data-semantic-type="subscript" data-semantic-role="simple function" data-semantic-id="23" data-semantic-children="21,22" data-semantic-parent="29">
<mi data-semantic-type="identifier" data-semantic-role="simple function" data-semantic-font="italic" data-semantic-id="21" data-semantic-parent="23" data-semantic-operator="appl">U</mi>
<mrow class="MJX-TeXAtom-ORD">
<mi data-semantic-type="identifier" data-semantic-role="latinletter" data-semantic-font="italic" data-semantic-id="22" data-semantic-parent="23">n</mi>
</mrow>
</msub>
<mo data-semantic-type="punctuation" data-semantic-role="application" data-semantic-id="28" data-semantic-parent="29" data-semantic-added="true" data-semantic-operator="appl"></mo>
<mrow data-semantic-type="fenced" data-semantic-role="leftright" data-semantic-id="27" data-semantic-children="25" data-semantic-content="24,26" data-semantic-parent="29">
<mo data-semantic-type="fence" data-semantic-role="open" data-semantic-id="24" data-semantic-parent="27" data-semantic-operator="fenced">(</mo>
<mi data-semantic-type="identifier" data-semantic-role="latinletter" data-semantic-font="italic" data-semantic-id="25" data-semantic-parent="27">x</mi>
<mo data-semantic-type="fence" data-semantic-role="close" data-semantic-id="26" data-semantic-parent="27" data-semantic-operator="fenced">)</mo>
</mrow>
</mrow>
</mrow>
<annotation encoding="application/x-tex">\sum _{\ell =0}^{n}T_{\ell }\left(x\right)x^{n-\ell }=U_{n}\left(x\right)</annotation>
</semantics>
</math>