File: webeq.mml

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<!-- MathType@Translator@5@5@MathML (WebEQ).tdl@MathML -- WebEQ compatible@ -->
<math displaystyle='true'>
   <semantics>
      <mtable columnalign='left'>
         <mtr>
            <mtd>
               <mi>f</mi><mo stretchy='false'>(</mo><mo>&isinv;</mo><mo>,</mo><mi>&delta;</mi><mi>s</mi><mo stretchy='false'>)</mo><mo>=</mo><mfrac>
                  <mn>1</mn>
                  <mi>&xi;</mi>
               </mfrac>
               <msub>
                  <mi>&phi;</mi>
                  <mi>v</mi>
               </msub>
               <mo stretchy='false'>(</mo><msub>
                  <mi>&lambda;</mi>
                  <mi>v</mi>
               </msub>
               <mo>,</mo><mi>k</mi><mo>,</mo><msup>
                  <mi>&beta;</mi>
                  <mn>2</mn>
               </msup>
               <mo stretchy='false'>)</mo>
            </mtd>
         </mtr>
         <mtr>
            <mtd>
               <msub>
                  <mi>&phi;</mi>
                  <mi>v</mi>
               </msub>
               <mo stretchy='false'>(</mo><msub>
                  <mi>&lambda;</mi>
                  <mi>v</mi>
               </msub>
               <mo>,</mo><mi>k</mi><mo>,</mo><msup>
                  <mi>&beta;</mi>
                  <mn>2</mn>
               </msup>
               <mo stretchy='false'>)</mo><mo>=</mo><mfrac>
                  <mn>1</mn>
                  <mrow>
                     <mn>2</mn><mi>&pi;</mi><mi>i</mi>
                  </mrow>
               </mfrac>
               <msubsup>
                  <mo>&int;</mo>
                  <mrow>
                     <mi>c</mi><mo>-</mo><mi>i</mi><mi>&infin;</mi>
                  </mrow>
                  <mrow>
                     <mi>c</mi><mo>+</mo><mi>i</mi><mi>&infin;</mi>
                  </mrow>
               </msubsup>
               <mrow>
                  <mi>&phi;</mi><mo stretchy='false'>(</mo><mi>s</mi><mo stretchy='false'>)</mo><msup>
                     <mi>e</mi>
                     <mrow>
                        <mi>&lambda;</mi><mi>s</mi>
                     </mrow>
                  </msup>
                  <mi>d</mi><mi>s</mi>
               </mrow>
               
            </mtd>
         </mtr>
         <mtr>
            <mtd>
               <mi>&phi;</mi><mo stretchy='false'>(</mo><mi>s</mi><mo stretchy='false'>)</mo><mo>=</mo><mtext>exp </mtext><mo stretchy='false'>[</mo><mi>k</mi><mo stretchy='false'>(</mo><mn>1</mn><mo>+</mo><msup>
                  <mi>&beta;</mi>
                  <mn>2</mn>
               </msup>
               <mi>&gamma;</mi><mo stretchy='false'>)</mo><mo stretchy='false'>]</mo><mtext> exp </mtext><mo stretchy='false'>[</mo><mi>&psi;</mi><mo stretchy='false'>(</mo><mi>s</mi><mo stretchy='false'>)</mo><mo stretchy='false'>]</mo>
            </mtd>
         </mtr>
         <mtr>
            <mtd>
               <msub>
                  <mi>&lambda;</mi>
                  <mi>u</mi>
               </msub>
               <mo>=</mo><mi>k</mi><mrow><mo>[</mo> <mrow>
                  <mfrac>
                     <mrow>
                        <mo>&isinv;</mo><mo>-</mo><mover accent='true'>
                           <mo>&isinv;</mo>
                           <mo>&amp;macr;</mo>
                        </mover>
                        
                     </mrow>
                     <mi>&xi;</mi>
                  </mfrac>
                  <mo>-</mo><msup>
                     <mi>&gamma;</mi>
                     <mo>&prime;</mo>
                  </msup>
                  <mo>-</mo><msup>
                     <mi>&beta;</mi>
                     <mn>2</mn>
                  </msup>
                  
               </mrow> <mo>]</mo></mrow>
            </mtd>
         </mtr>
      </mtable>
      
      
   </semantics>
</math>
<!-- MathType@End@5@5@ -->