mathmlben/data/mathematical/144.mml

Visualization for goldstandard

<?xml version="1.0" encoding="UTF-8"?>
<math xmlns="http://www.w3.org/1998/Math/MathML" display="block">
   <semantics xmlns="">
      <mrow>
         <msub>
            <mo>∂</mo> 
            <mi>j</mi>
         </msub>
         <msub>
            <mi>R</mi> 
            <mrow>
               <mo lspace="verythinmathspace" rspace="0em">−</mo>
               <mi>a</mi>
            </mrow>
         </msub>
         <mrow>
            <mo>(</mo>
            <mstyle mathvariant="bold">
               <mi mathvariant="bold">b</mi>
            </mstyle>
            <mo>;</mo>
            <mstyle mathvariant="bold">
               <mi mathvariant="bold">z</mi>
            </mstyle>
            <mo>)</mo>
         </mrow>
         <mo>=</mo>
         <mo>−</mo>
         <mi>a</mi>
         <msub>
            <mi>w</mi> 
            <mi>j</mi>
         </msub>
         <msub>
            <mi>R</mi> 
            <mrow>
               <mo lspace="verythinmathspace" rspace="0em">−</mo>
               <mi>a</mi>
               <mo>−</mo>
               <mn>1</mn>
            </mrow>
         </msub>
         <mrow>
            <mo>(</mo>
            <mstyle mathvariant="bold">
               <mi mathvariant="bold">b</mi>
            </mstyle>
            <mo>+</mo>
            <msub>
               <mstyle mathvariant="bold">
                  <mi mathvariant="bold">e</mi>
               </mstyle> 
               <mi>j</mi>
            </msub>
            <mo>;</mo>
            <mstyle mathvariant="bold">
               <mi mathvariant="bold">z</mi>
            </mstyle>
            <mo>)</mo>
         </mrow>
      </mrow>
      <annotation encoding="application/x-tex">\partial_{j}R_{-a}\left(\mathbf{b};\mathbf{z}\right)=-aw_{j}R_{-a-1}\left(\mathbf{b}+\mathbf{e}_{j};\mathbf{z}\right)</annotation>
   </semantics>
</math>