ag-gipp/GoUldI

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data/mathoid/112.mml

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<math 
  xmlns="http://www.w3.org/1998/Math/MathML" display="block" alttext="h left-parenthesis t right-parenthesis tilde exp left-parenthesis i kappa t Superscript p Baseline right-parenthesis sigma-summation Underscript s equals 0 Overscript normal infinity Endscripts b Subscript s Baseline t Superscript minus beta Super Subscript s">
  <semantics>
    <mrow data-semantic-type="relseq" data-semantic-role="equality" data-semantic-id="45" data-semantic-children="42,44" data-semantic-content="4">
      <mrow data-semantic-type="appl" data-semantic-role="simple function" data-semantic-id="42" data-semantic-children="0,31" data-semantic-content="41,0" data-semantic-parent="45">
        <mi data-semantic-type="identifier" data-semantic-role="simple function" data-semantic-font="italic" data-semantic-id="0" data-semantic-parent="42" data-semantic-operator="appl">h</mi>
        <mo data-semantic-type="punctuation" data-semantic-role="application" data-semantic-id="41" data-semantic-parent="42" data-semantic-added="true" data-semantic-operator="appl">⁡</mo>
        <mrow data-semantic-type="fenced" data-semantic-role="leftright" data-semantic-id="31" data-semantic-children="2" data-semantic-content="1,3" data-semantic-parent="42">
          <mo stretchy="false" data-semantic-type="fence" data-semantic-role="open" data-semantic-id="1" data-semantic-parent="31" data-semantic-operator="fenced">(</mo>
          <mi data-semantic-type="identifier" data-semantic-role="latinletter" data-semantic-font="italic" data-semantic-id="2" data-semantic-parent="31">t</mi>
          <mo stretchy="false" data-semantic-type="fence" data-semantic-role="close" data-semantic-id="3" data-semantic-parent="31" data-semantic-operator="fenced">)</mo>
        </mrow>
      </mrow>
      <mo data-semantic-type="relation" data-semantic-role="equality" data-semantic-id="4" data-semantic-parent="45" data-semantic-operator="relseq,∼">∼
        <!-- ∼ -->
      </mo>
      <mrow data-semantic-type="infixop" data-semantic-role="implicit" data-semantic-id="44" data-semantic-children="40,38" data-semantic-content="43" data-semantic-parent="45">
        <mrow data-semantic-type="appl" data-semantic-role="prefix function" data-semantic-id="40" data-semantic-children="5,35" data-semantic-content="39,5" data-semantic-parent="44">
          <mi data-semantic-type="function" data-semantic-role="prefix function" data-semantic-font="normal" data-semantic-id="5" data-semantic-parent="40" data-semantic-operator="appl">exp</mi>
          <mo data-semantic-type="punctuation" data-semantic-role="application" data-semantic-id="39" data-semantic-parent="40" data-semantic-added="true" data-semantic-operator="appl">⁡</mo>
          <mrow data-semantic-type="fenced" data-semantic-role="leftright" data-semantic-id="35" data-semantic-children="34" data-semantic-content="7,13" data-semantic-parent="40">
            <mo stretchy="false" data-semantic-type="fence" data-semantic-role="open" data-semantic-id="7" data-semantic-parent="35" data-semantic-operator="fenced">(</mo>
            <mrow data-semantic-type="infixop" data-semantic-role="implicit" data-semantic-id="34" data-semantic-children="8,9,12" data-semantic-content="32,33" data-semantic-parent="35">
              <mi data-semantic-type="identifier" data-semantic-role="latinletter" data-semantic-font="italic" data-semantic-id="8" data-semantic-parent="34">i</mi>
              <mo data-semantic-type="operator" data-semantic-role="multiplication" data-semantic-id="32" data-semantic-parent="34" data-semantic-added="true" data-semantic-operator="infixop,⁢">⁢</mo>
              <mi data-semantic-type="identifier" data-semantic-role="greekletter" data-semantic-font="italic" data-semantic-id="9" data-semantic-parent="34">κ
                <!-- κ -->
              </mi>
              <mo data-semantic-type="operator" data-semantic-role="multiplication" data-semantic-id="33" data-semantic-parent="34" data-semantic-added="true" data-semantic-operator="infixop,⁢">⁢</mo>
              <msup data-semantic-type="superscript" data-semantic-role="latinletter" data-semantic-id="12" data-semantic-children="10,11" data-semantic-parent="34">
                <mi data-semantic-type="identifier" data-semantic-role="latinletter" data-semantic-font="italic" data-semantic-id="10" data-semantic-parent="12">t</mi>
                <mrow class="MJX-TeXAtom-ORD">
                  <mi data-semantic-type="identifier" data-semantic-role="latinletter" data-semantic-font="italic" data-semantic-id="11" data-semantic-parent="12">p</mi>
                </mrow>
              </msup>
            </mrow>
            <mo stretchy="false" data-semantic-type="fence" data-semantic-role="close" data-semantic-id="13" data-semantic-parent="35" data-semantic-operator="fenced">)</mo>
          </mrow>
        </mrow>
        <mo data-semantic-type="operator" data-semantic-role="multiplication" data-semantic-id="43" data-semantic-parent="44" data-semantic-added="true" data-semantic-operator="infixop,⁢">⁢</mo>
        <mrow data-semantic-type="bigop" data-semantic-role="sum" data-semantic-id="38" data-semantic-children="20,37" data-semantic-content="14" data-semantic-parent="44">
          <munderover data-semantic-type="limboth" data-semantic-role="sum" data-semantic-id="20" data-semantic-children="14,18,19" data-semantic-parent="38">
            <mo data-semantic-type="largeop" data-semantic-role="sum" data-semantic-id="14" data-semantic-parent="20" data-semantic-operator="bigop">∑
              <!-- ∑ -->
            </mo>
            <mrow class="MJX-TeXAtom-ORD" data-semantic-type="relseq" data-semantic-role="equality" data-semantic-id="18" data-semantic-children="15,17" data-semantic-content="16" data-semantic-parent="20">
              <mi data-semantic-type="identifier" data-semantic-role="latinletter" data-semantic-font="italic" data-semantic-id="15" data-semantic-parent="18">s</mi>
              <mo data-semantic-type="relation" data-semantic-role="equality" data-semantic-id="16" data-semantic-parent="18" data-semantic-operator="relseq,=">=</mo>
              <mn data-semantic-type="number" data-semantic-role="integer" data-semantic-font="normal" data-semantic-id="17" data-semantic-parent="18">0</mn>
            </mrow>
            <mrow class="MJX-TeXAtom-ORD">
              <mi mathvariant="normal" data-semantic-type="identifier" data-semantic-role="unknown" data-semantic-font="normal" data-semantic-id="19" data-semantic-parent="20">∞
                <!-- ∞ -->
              </mi>
            </mrow>
          </munderover>
          <mrow data-semantic-type="infixop" data-semantic-role="implicit" data-semantic-id="37" data-semantic-children="23,30" data-semantic-content="36" data-semantic-parent="38">
            <msub data-semantic-type="subscript" data-semantic-role="latinletter" data-semantic-id="23" data-semantic-children="21,22" data-semantic-parent="37">
              <mi data-semantic-type="identifier" data-semantic-role="latinletter" data-semantic-font="italic" data-semantic-id="21" data-semantic-parent="23">b</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">s</mi>
              </mrow>
            </msub>
            <mo data-semantic-type="operator" data-semantic-role="multiplication" data-semantic-id="36" data-semantic-parent="37" data-semantic-added="true" data-semantic-operator="infixop,⁢">⁢</mo>
            <msup data-semantic-type="superscript" data-semantic-role="latinletter" data-semantic-id="30" data-semantic-children="24,29" data-semantic-parent="37">
              <mi data-semantic-type="identifier" data-semantic-role="latinletter" data-semantic-font="italic" data-semantic-id="24" data-semantic-parent="30">t</mi>
              <mrow class="MJX-TeXAtom-ORD" data-semantic-type="prefixop" data-semantic-role="negative" data-semantic-id="29" data-semantic-children="28" data-semantic-content="25" data-semantic-parent="30">
                <mo data-semantic-type="operator" data-semantic-role="subtraction" data-semantic-id="25" data-semantic-parent="29" data-semantic-operator="prefixop,−">−
                  <!-- − -->
                </mo>
                <msub data-semantic-type="subscript" data-semantic-role="greekletter" data-semantic-id="28" data-semantic-children="26,27" data-semantic-parent="29">
                  <mi data-semantic-type="identifier" data-semantic-role="greekletter" data-semantic-font="italic" data-semantic-id="26" data-semantic-parent="28">β
                    <!-- β -->
                  </mi>
                  <mrow class="MJX-TeXAtom-ORD">
                    <mi data-semantic-type="identifier" data-semantic-role="latinletter" data-semantic-font="italic" data-semantic-id="27" data-semantic-parent="28">s</mi>
                  </mrow>
                </msub>
              </mrow>
            </msup>
          </mrow>
        </mrow>
      </mrow>
    </mrow>
    <annotation encoding="application/x-tex">h(t)\sim \exp(i\kappa t^{p})\sum _{s=0}^{\infty }b_{s}t^{-\beta _{s}}</annotation>
  </semantics>
</math>