packages feed

texmath-0.12.8.3: test/writer/omml/complex2.test

<<< native
[ EArray
    [ AlignCenter , AlignCenter ]
    [ [ [ EText TextNormal "Quadratic Equation" ]
      , [ EGrouped
            [ EIdentifier "x"
            , ESymbol Rel "="
            , EFraction
                NormalFrac
                (EGrouped
                   [ ESymbol Bin "-"
                   , EIdentifier "b"
                   , ESymbol Bin "\177"
                   , ESqrt
                       (EGrouped
                          [ ESubsup (EIdentifier "b") (EGrouped []) (ENumber "2")
                          , ESymbol Bin "-"
                          , ENumber "4"
                          , EIdentifier "a"
                          , EIdentifier "c"
                          ])
                   ])
                (EGrouped [ ENumber "2" , EIdentifier "a" ])
            ]
        ]
      ]
    , [ [ EText TextNormal "DisplayQuadratic Equation" ]
      , [ EGrouped
            [ EIdentifier "x"
            , ESymbol Rel "="
            , EFraction
                NormalFrac
                (EGrouped
                   [ ESymbol Bin "-"
                   , EIdentifier "b"
                   , ESymbol Bin "\177"
                   , ESqrt
                       (EGrouped
                          [ ESubsup (EIdentifier "b") (EGrouped []) (ENumber "2")
                          , ESymbol Bin "-"
                          , ENumber "4"
                          , EIdentifier "a"
                          , EIdentifier "c"
                          ])
                   ])
                (EGrouped [ ENumber "2" , EIdentifier "a" ])
            ]
        ]
      ]
    , [ [ EText TextNormal "Rational Function" ]
      , [ EGrouped
            [ EIdentifier "f"
            , ESymbol Open "("
            , EIdentifier "x"
            , ESymbol Close ")"
            , ESymbol Rel "="
            , EFraction
                NormalFrac
                (EGrouped
                   [ ENumber "1"
                   , ESymbol Bin "-"
                   , ESubsup (EIdentifier "x") (EGrouped []) (ENumber "2")
                   ])
                (EGrouped
                   [ ENumber "1"
                   , ESymbol Bin "-"
                   , ESubsup (EIdentifier "x") (EGrouped []) (ENumber "3")
                   ])
            ]
        ]
      ]
    , [ [ EText TextNormal "Rational Function" ]
      , [ EGrouped
            [ EIdentifier "f"
            , ESymbol Open "("
            , EIdentifier "x"
            , ESymbol Close ")"
            , ESymbol Rel "="
            , EFraction
                NormalFrac
                (EGrouped
                   [ ESymbol Open "("
                   , ENumber "1"
                   , ESymbol Bin "-"
                   , ESubsup (EIdentifier "x") (EGrouped []) (ENumber "2")
                   , ESymbol Close ")"
                   , ESubsup (EIdentifier "x") (EGrouped []) (ENumber "3")
                   ])
                (EGrouped
                   [ ENumber "1"
                   , ESymbol Bin "-"
                   , ESubsup (EIdentifier "x") (EGrouped []) (ENumber "3")
                   ])
            ]
        ]
      ]
    , [ [ EText TextNormal "Rational Function" ]
      , [ EGrouped
            [ EIdentifier "f"
            , ESymbol Open "("
            , EIdentifier "x"
            , ESymbol Close ")"
            , ESymbol Rel "="
            , EFraction
                NormalFrac
                (EGrouped
                   [ ESymbol Open "("
                   , ENumber "1"
                   , ESymbol Bin "-"
                   , ESubsup (EIdentifier "x") (EGrouped []) (ENumber "2")
                   , ESymbol Close ")"
                   , ESymbol Open "("
                   , ESubsup (EIdentifier "x") (EGrouped []) (ENumber "3")
                   , ESymbol Bin "-"
                   , ENumber "5"
                   , EIdentifier "x"
                   , ESymbol Close ")"
                   ])
                (EGrouped
                   [ ENumber "1"
                   , ESymbol Bin "-"
                   , ESubsup (EIdentifier "x") (EGrouped []) (ENumber "3")
                   ])
            ]
        ]
      ]
    , [ [ EText TextNormal "Parametrize Rational Function" ]
      , [ EGrouped
            [ EIdentifier "f"
            , ESymbol Open "("
            , EIdentifier "x"
            , ESymbol Close ")"
            , ESymbol Rel "="
            , EFraction
                NormalFrac
                (EGrouped
                   [ ESymbol Open "("
                   , ESubsup (EIdentifier "a") (EIdentifier "i") (EGrouped [])
                   , ESymbol Bin "-"
                   , ESubsup (EIdentifier "x") (EGrouped []) (ENumber "2")
                   , ESubsup (ESymbol Close ")") (EGrouped []) (ENumber "5")
                   ])
                (EGrouped
                   [ ENumber "1"
                   , ESymbol Bin "-"
                   , ESubsup (EIdentifier "x") (EGrouped []) (ENumber "3")
                   ])
            ]
        ]
      ]
    , [ [ EText TextNormal "Stacked exponents" ]
      , [ EGrouped
            [ EIdentifier "g"
            , ESymbol Open "("
            , EIdentifier "z"
            , ESymbol Close ")"
            , ESymbol Rel "="
            , ESubsup
                (EIdentifier "e")
                (EGrouped [])
                (EGrouped
                   [ ESymbol Bin "-"
                   , ESubsup (EIdentifier "x") (EGrouped []) (ENumber "2")
                   ])
            ]
        ]
      ]
    , [ [ EText TextNormal "Stacked exponents" ]
      , [ EGrouped
            [ EIdentifier "g"
            , ESymbol Open "("
            , EIdentifier "z"
            , ESymbol Close ")"
            , ESymbol Rel "="
            , ESubsup
                (EIdentifier "e")
                (EGrouped [])
                (EGrouped
                   [ ESymbol Bin "-"
                   , ESymbol Open "("
                   , EIdentifier "z"
                   , ESymbol Bin "-"
                   , EIdentifier "a"
                   , ESubsup (ESymbol Close ")") (EGrouped []) (ENumber "2")
                   ])
            ]
        ]
      ]
    , [ [ EText TextNormal "Stacked exponents" ]
      , [ EGrouped
            [ EIdentifier "g"
            , ESymbol Open "("
            , EIdentifier "z"
            , ESymbol Close ")"
            , ESymbol Rel "="
            , ESubsup
                (EIdentifier "e")
                (EGrouped [])
                (EGrouped
                   [ ESymbol Bin "-"
                   , EUnderover
                       False
                       (ESymbol Op "\8721")
                       (EGrouped [ EIdentifier "i" , ESymbol Rel "=" , ENumber "0" ])
                       (EIdentifier "\8734")
                   , ESubsup (EIdentifier "z") (EIdentifier "i") (ENumber "2")
                   ])
            ]
        ]
      ]
    , [ [ EText TextNormal "Stacked exponents" ]
      , [ EGrouped
            [ EIdentifier "g"
            , ESymbol Open "("
            , EIdentifier "y"
            , ESymbol Close ")"
            , ESymbol Rel "="
            , ESubsup
                (EIdentifier "e")
                (EGrouped [])
                (EGrouped
                   [ ESymbol Bin "-"
                   , EUnderover
                       False
                       (ESymbol Op "\8721")
                       (EGrouped [ EIdentifier "i" , ESymbol Rel "=" , ENumber "0" ])
                       (EIdentifier "\8734")
                   , ESubsup (EIdentifier "y") (EIdentifier "i") (ENumber "2")
                   ])
            ]
        ]
      ]
    , [ [ EText TextNormal "Stacked exponents" ]
      , [ EGrouped
            [ EIdentifier "g"
            , ESymbol Open "("
            , EIdentifier "z"
            , ESymbol Close ")"
            , ESymbol Rel "="
            , ESubsup
                (EIdentifier "e")
                (EGrouped [])
                (EGrouped
                   [ ESymbol Bin "-"
                   , EUnderover
                       False
                       (ESymbol Op "\8721")
                       (EGrouped [ EIdentifier "i" , ESymbol Rel "=" , ENumber "0" ])
                       (EIdentifier "\8734")
                   , ESubsup
                       (EIdentifier "z")
                       (EGrouped [])
                       (EFraction
                          NormalFrac
                          (ENumber "2")
                          (EGrouped [ EIdentifier "a" , ESymbol Bin "-" , EIdentifier "i" ]))
                   ])
            ]
        ]
      ]
    , [ [ EText TextNormal "Cross Product" ]
      , [ EGrouped
            [ EFraction
                NormalFrac
                (EGrouped
                   [ ESubsup (EIdentifier "x") (ENumber "1") (EGrouped [])
                   , ESymbol Bin "-"
                   , ESubsup (EIdentifier "x") (ENumber "2") (EGrouped [])
                   ])
                (EGrouped
                   [ ESubsup (EIdentifier "x") (ENumber "3") (EGrouped [])
                   , ESymbol Bin "-"
                   , ESubsup (EIdentifier "x") (ENumber "4") (EGrouped [])
                   ])
            , EFraction
                NormalFrac
                (EGrouped
                   [ ESubsup (EIdentifier "x") (ENumber "1") (EGrouped [])
                   , ESymbol Bin "-"
                   , ESubsup (EIdentifier "x") (ENumber "4") (EGrouped [])
                   ])
                (EGrouped
                   [ ESubsup (EIdentifier "x") (ENumber "2") (EGrouped [])
                   , ESymbol Bin "-"
                   , ESubsup (EIdentifier "x") (ENumber "3") (EGrouped [])
                   ])
            ]
        ]
      ]
    , [ [ EText TextNormal "Cross Product" ]
      , [ EGrouped
            [ ESymbol Open "("
            , EFraction
                NormalFrac
                (EGrouped
                   [ ESubsup (EIdentifier "x") (ENumber "1") (EGrouped [])
                   , ESymbol Bin "-"
                   , ESubsup (EIdentifier "x") (ENumber "2") (EGrouped [])
                   ])
                (EGrouped
                   [ ESubsup (EIdentifier "x") (ENumber "3") (EGrouped [])
                   , ESymbol Bin "-"
                   , ESubsup (EIdentifier "x") (ENumber "4") (EGrouped [])
                   ])
            , ESymbol Close ")"
            , ESymbol Open "("
            , EFraction
                NormalFrac
                (EGrouped
                   [ ESubsup (EIdentifier "x") (ENumber "1") (EGrouped [])
                   , ESymbol Bin "-"
                   , ESubsup (EIdentifier "x") (ENumber "4") (EGrouped [])
                   ])
                (EGrouped
                   [ ESubsup (EIdentifier "x") (ENumber "2") (EGrouped [])
                   , ESymbol Bin "-"
                   , ESubsup (EIdentifier "x") (ENumber "3") (EGrouped [])
                   ])
            , ESymbol Close ")"
            ]
        ]
      ]
    , [ [ EText TextNormal "Cross Product" ]
      , [ EGrouped
            [ EDelimited
                "("
                ")"
                [ Right
                    (EFraction
                       NormalFrac
                       (EGrouped
                          [ ESubsup (EIdentifier "x") (ENumber "1") (EGrouped [])
                          , ESymbol Bin "-"
                          , ESubsup (EIdentifier "x") (ENumber "2") (EGrouped [])
                          ])
                       (EGrouped
                          [ ESubsup (EIdentifier "x") (ENumber "3") (EGrouped [])
                          , ESymbol Bin "-"
                          , ESubsup (EIdentifier "x") (ENumber "4") (EGrouped [])
                          ]))
                ]
            , EDelimited
                "("
                ")"
                [ Right
                    (EFraction
                       NormalFrac
                       (EGrouped
                          [ ESubsup (EIdentifier "x") (ENumber "1") (EGrouped [])
                          , ESymbol Bin "-"
                          , ESubsup (EIdentifier "x") (ENumber "4") (EGrouped [])
                          ])
                       (EGrouped
                          [ ESubsup (EIdentifier "x") (ENumber "2") (EGrouped [])
                          , ESymbol Bin "-"
                          , ESubsup (EIdentifier "x") (ENumber "3") (EGrouped [])
                          ]))
                ]
            ]
        ]
      ]
    , [ [ EText TextNormal "Cross Product" ]
      , [ EFraction
            NormalFrac
            (EGrouped
               [ ESymbol Open "("
               , ESubsup (EIdentifier "x") (ENumber "1") (EGrouped [])
               , ESymbol Bin "-"
               , ESubsup (EIdentifier "x") (ENumber "2") (EGrouped [])
               , ESymbol Close ")"
               , ESymbol Open "("
               , ESubsup (EIdentifier "x") (ENumber "3") (EGrouped [])
               , ESymbol Bin "-"
               , ESubsup (EIdentifier "x") (ENumber "4") (EGrouped [])
               , ESymbol Close ")"
               ])
            (EGrouped
               [ ESymbol Open "("
               , ESubsup (EIdentifier "x") (ENumber "1") (EGrouped [])
               , ESymbol Bin "-"
               , ESubsup (EIdentifier "x") (ENumber "4") (EGrouped [])
               , ESymbol Close ")"
               , ESymbol Open "("
               , ESubsup (EIdentifier "x") (ENumber "2") (EGrouped [])
               , ESymbol Bin "-"
               , ESubsup (EIdentifier "x") (ENumber "3") (EGrouped [])
               , ESymbol Close ")"
               ])
        ]
      ]
    ]
]
>>> omml
<?xml version='1.0' ?>
<m:oMathPara>
  <m:oMathParaPr>
    <m:jc m:val="center" />
  </m:oMathParaPr>
  <m:oMath>
    <m:m>
      <m:mPr>
        <m:baseJc m:val="center" />
        <m:plcHide m:val="on" />
        <m:mcs>
          <m:mc>
            <m:mcPr>
              <m:mcJc m:val="center" />
              <m:count m:val="1" />
            </m:mcPr>
          </m:mc>
          <m:mc>
            <m:mcPr>
              <m:mcJc m:val="center" />
              <m:count m:val="1" />
            </m:mcPr>
          </m:mc>
        </m:mcs>
      </m:mPr>
      <m:mr>
        <m:e>
          <m:r>
            <m:rPr>
              <m:nor />
              <m:sty m:val="p" />
            </m:rPr>
            <m:t>Quadratic Equation</m:t>
          </m:r>
        </m:e>
        <m:e>
          <m:r>
            <m:t>x</m:t>
          </m:r>
          <m:r>
            <m:rPr>
              <m:sty m:val="p" />
            </m:rPr>
            <m:t>=</m:t>
          </m:r>
          <m:f>
            <m:fPr>
              <m:type m:val="bar" />
            </m:fPr>
            <m:num>
              <m:r>
                <m:rPr>
                  <m:sty m:val="p" />
                </m:rPr>
                <m:t>-</m:t>
              </m:r>
              <m:r>
                <m:t>b</m:t>
              </m:r>
              <m:r>
                <m:rPr>
                  <m:sty m:val="p" />
                </m:rPr>
                <m:t>±</m:t>
              </m:r>
              <m:rad>
                <m:radPr>
                  <m:degHide m:val="on" />
                </m:radPr>
                <m:deg />
                <m:e>
                  <m:sSubSup>
                    <m:e>
                      <m:r>
                        <m:t>b</m:t>
                      </m:r>
                    </m:e>
                    <m:sub>
                      <m:r>
                        <m:t>&#8203;</m:t>
                      </m:r>
                    </m:sub>
                    <m:sup>
                      <m:r>
                        <m:t>2</m:t>
                      </m:r>
                    </m:sup>
                  </m:sSubSup>
                  <m:r>
                    <m:rPr>
                      <m:sty m:val="p" />
                    </m:rPr>
                    <m:t>-</m:t>
                  </m:r>
                  <m:r>
                    <m:t>4</m:t>
                  </m:r>
                  <m:r>
                    <m:t>a</m:t>
                  </m:r>
                  <m:r>
                    <m:t>c</m:t>
                  </m:r>
                </m:e>
              </m:rad>
            </m:num>
            <m:den>
              <m:r>
                <m:t>2</m:t>
              </m:r>
              <m:r>
                <m:t>a</m:t>
              </m:r>
            </m:den>
          </m:f>
        </m:e>
      </m:mr>
      <m:mr>
        <m:e>
          <m:r>
            <m:rPr>
              <m:nor />
              <m:sty m:val="p" />
            </m:rPr>
            <m:t>DisplayQuadratic Equation</m:t>
          </m:r>
        </m:e>
        <m:e>
          <m:r>
            <m:t>x</m:t>
          </m:r>
          <m:r>
            <m:rPr>
              <m:sty m:val="p" />
            </m:rPr>
            <m:t>=</m:t>
          </m:r>
          <m:f>
            <m:fPr>
              <m:type m:val="bar" />
            </m:fPr>
            <m:num>
              <m:r>
                <m:rPr>
                  <m:sty m:val="p" />
                </m:rPr>
                <m:t>-</m:t>
              </m:r>
              <m:r>
                <m:t>b</m:t>
              </m:r>
              <m:r>
                <m:rPr>
                  <m:sty m:val="p" />
                </m:rPr>
                <m:t>±</m:t>
              </m:r>
              <m:rad>
                <m:radPr>
                  <m:degHide m:val="on" />
                </m:radPr>
                <m:deg />
                <m:e>
                  <m:sSubSup>
                    <m:e>
                      <m:r>
                        <m:t>b</m:t>
                      </m:r>
                    </m:e>
                    <m:sub>
                      <m:r>
                        <m:t>&#8203;</m:t>
                      </m:r>
                    </m:sub>
                    <m:sup>
                      <m:r>
                        <m:t>2</m:t>
                      </m:r>
                    </m:sup>
                  </m:sSubSup>
                  <m:r>
                    <m:rPr>
                      <m:sty m:val="p" />
                    </m:rPr>
                    <m:t>-</m:t>
                  </m:r>
                  <m:r>
                    <m:t>4</m:t>
                  </m:r>
                  <m:r>
                    <m:t>a</m:t>
                  </m:r>
                  <m:r>
                    <m:t>c</m:t>
                  </m:r>
                </m:e>
              </m:rad>
            </m:num>
            <m:den>
              <m:r>
                <m:t>2</m:t>
              </m:r>
              <m:r>
                <m:t>a</m:t>
              </m:r>
            </m:den>
          </m:f>
        </m:e>
      </m:mr>
      <m:mr>
        <m:e>
          <m:r>
            <m:rPr>
              <m:nor />
              <m:sty m:val="p" />
            </m:rPr>
            <m:t>Rational Function</m:t>
          </m:r>
        </m:e>
        <m:e>
          <m:r>
            <m:t>f</m:t>
          </m:r>
          <m:r>
            <m:rPr>
              <m:sty m:val="p" />
            </m:rPr>
            <m:t>(</m:t>
          </m:r>
          <m:r>
            <m:t>x</m:t>
          </m:r>
          <m:r>
            <m:rPr>
              <m:sty m:val="p" />
            </m:rPr>
            <m:t>)</m:t>
          </m:r>
          <m:r>
            <m:rPr>
              <m:sty m:val="p" />
            </m:rPr>
            <m:t>=</m:t>
          </m:r>
          <m:f>
            <m:fPr>
              <m:type m:val="bar" />
            </m:fPr>
            <m:num>
              <m:r>
                <m:t>1</m:t>
              </m:r>
              <m:r>
                <m:rPr>
                  <m:sty m:val="p" />
                </m:rPr>
                <m:t>-</m:t>
              </m:r>
              <m:sSubSup>
                <m:e>
                  <m:r>
                    <m:t>x</m:t>
                  </m:r>
                </m:e>
                <m:sub>
                  <m:r>
                    <m:t>&#8203;</m:t>
                  </m:r>
                </m:sub>
                <m:sup>
                  <m:r>
                    <m:t>2</m:t>
                  </m:r>
                </m:sup>
              </m:sSubSup>
            </m:num>
            <m:den>
              <m:r>
                <m:t>1</m:t>
              </m:r>
              <m:r>
                <m:rPr>
                  <m:sty m:val="p" />
                </m:rPr>
                <m:t>-</m:t>
              </m:r>
              <m:sSubSup>
                <m:e>
                  <m:r>
                    <m:t>x</m:t>
                  </m:r>
                </m:e>
                <m:sub>
                  <m:r>
                    <m:t>&#8203;</m:t>
                  </m:r>
                </m:sub>
                <m:sup>
                  <m:r>
                    <m:t>3</m:t>
                  </m:r>
                </m:sup>
              </m:sSubSup>
            </m:den>
          </m:f>
        </m:e>
      </m:mr>
      <m:mr>
        <m:e>
          <m:r>
            <m:rPr>
              <m:nor />
              <m:sty m:val="p" />
            </m:rPr>
            <m:t>Rational Function</m:t>
          </m:r>
        </m:e>
        <m:e>
          <m:r>
            <m:t>f</m:t>
          </m:r>
          <m:r>
            <m:rPr>
              <m:sty m:val="p" />
            </m:rPr>
            <m:t>(</m:t>
          </m:r>
          <m:r>
            <m:t>x</m:t>
          </m:r>
          <m:r>
            <m:rPr>
              <m:sty m:val="p" />
            </m:rPr>
            <m:t>)</m:t>
          </m:r>
          <m:r>
            <m:rPr>
              <m:sty m:val="p" />
            </m:rPr>
            <m:t>=</m:t>
          </m:r>
          <m:f>
            <m:fPr>
              <m:type m:val="bar" />
            </m:fPr>
            <m:num>
              <m:r>
                <m:rPr>
                  <m:sty m:val="p" />
                </m:rPr>
                <m:t>(</m:t>
              </m:r>
              <m:r>
                <m:t>1</m:t>
              </m:r>
              <m:r>
                <m:rPr>
                  <m:sty m:val="p" />
                </m:rPr>
                <m:t>-</m:t>
              </m:r>
              <m:sSubSup>
                <m:e>
                  <m:r>
                    <m:t>x</m:t>
                  </m:r>
                </m:e>
                <m:sub>
                  <m:r>
                    <m:t>&#8203;</m:t>
                  </m:r>
                </m:sub>
                <m:sup>
                  <m:r>
                    <m:t>2</m:t>
                  </m:r>
                </m:sup>
              </m:sSubSup>
              <m:r>
                <m:rPr>
                  <m:sty m:val="p" />
                </m:rPr>
                <m:t>)</m:t>
              </m:r>
              <m:sSubSup>
                <m:e>
                  <m:r>
                    <m:t>x</m:t>
                  </m:r>
                </m:e>
                <m:sub>
                  <m:r>
                    <m:t>&#8203;</m:t>
                  </m:r>
                </m:sub>
                <m:sup>
                  <m:r>
                    <m:t>3</m:t>
                  </m:r>
                </m:sup>
              </m:sSubSup>
            </m:num>
            <m:den>
              <m:r>
                <m:t>1</m:t>
              </m:r>
              <m:r>
                <m:rPr>
                  <m:sty m:val="p" />
                </m:rPr>
                <m:t>-</m:t>
              </m:r>
              <m:sSubSup>
                <m:e>
                  <m:r>
                    <m:t>x</m:t>
                  </m:r>
                </m:e>
                <m:sub>
                  <m:r>
                    <m:t>&#8203;</m:t>
                  </m:r>
                </m:sub>
                <m:sup>
                  <m:r>
                    <m:t>3</m:t>
                  </m:r>
                </m:sup>
              </m:sSubSup>
            </m:den>
          </m:f>
        </m:e>
      </m:mr>
      <m:mr>
        <m:e>
          <m:r>
            <m:rPr>
              <m:nor />
              <m:sty m:val="p" />
            </m:rPr>
            <m:t>Rational Function</m:t>
          </m:r>
        </m:e>
        <m:e>
          <m:r>
            <m:t>f</m:t>
          </m:r>
          <m:r>
            <m:rPr>
              <m:sty m:val="p" />
            </m:rPr>
            <m:t>(</m:t>
          </m:r>
          <m:r>
            <m:t>x</m:t>
          </m:r>
          <m:r>
            <m:rPr>
              <m:sty m:val="p" />
            </m:rPr>
            <m:t>)</m:t>
          </m:r>
          <m:r>
            <m:rPr>
              <m:sty m:val="p" />
            </m:rPr>
            <m:t>=</m:t>
          </m:r>
          <m:f>
            <m:fPr>
              <m:type m:val="bar" />
            </m:fPr>
            <m:num>
              <m:r>
                <m:rPr>
                  <m:sty m:val="p" />
                </m:rPr>
                <m:t>(</m:t>
              </m:r>
              <m:r>
                <m:t>1</m:t>
              </m:r>
              <m:r>
                <m:rPr>
                  <m:sty m:val="p" />
                </m:rPr>
                <m:t>-</m:t>
              </m:r>
              <m:sSubSup>
                <m:e>
                  <m:r>
                    <m:t>x</m:t>
                  </m:r>
                </m:e>
                <m:sub>
                  <m:r>
                    <m:t>&#8203;</m:t>
                  </m:r>
                </m:sub>
                <m:sup>
                  <m:r>
                    <m:t>2</m:t>
                  </m:r>
                </m:sup>
              </m:sSubSup>
              <m:r>
                <m:rPr>
                  <m:sty m:val="p" />
                </m:rPr>
                <m:t>)</m:t>
              </m:r>
              <m:r>
                <m:rPr>
                  <m:sty m:val="p" />
                </m:rPr>
                <m:t>(</m:t>
              </m:r>
              <m:sSubSup>
                <m:e>
                  <m:r>
                    <m:t>x</m:t>
                  </m:r>
                </m:e>
                <m:sub>
                  <m:r>
                    <m:t>&#8203;</m:t>
                  </m:r>
                </m:sub>
                <m:sup>
                  <m:r>
                    <m:t>3</m:t>
                  </m:r>
                </m:sup>
              </m:sSubSup>
              <m:r>
                <m:rPr>
                  <m:sty m:val="p" />
                </m:rPr>
                <m:t>-</m:t>
              </m:r>
              <m:r>
                <m:t>5</m:t>
              </m:r>
              <m:r>
                <m:t>x</m:t>
              </m:r>
              <m:r>
                <m:rPr>
                  <m:sty m:val="p" />
                </m:rPr>
                <m:t>)</m:t>
              </m:r>
            </m:num>
            <m:den>
              <m:r>
                <m:t>1</m:t>
              </m:r>
              <m:r>
                <m:rPr>
                  <m:sty m:val="p" />
                </m:rPr>
                <m:t>-</m:t>
              </m:r>
              <m:sSubSup>
                <m:e>
                  <m:r>
                    <m:t>x</m:t>
                  </m:r>
                </m:e>
                <m:sub>
                  <m:r>
                    <m:t>&#8203;</m:t>
                  </m:r>
                </m:sub>
                <m:sup>
                  <m:r>
                    <m:t>3</m:t>
                  </m:r>
                </m:sup>
              </m:sSubSup>
            </m:den>
          </m:f>
        </m:e>
      </m:mr>
      <m:mr>
        <m:e>
          <m:r>
            <m:rPr>
              <m:nor />
              <m:sty m:val="p" />
            </m:rPr>
            <m:t>Parametrize Rational Function</m:t>
          </m:r>
        </m:e>
        <m:e>
          <m:r>
            <m:t>f</m:t>
          </m:r>
          <m:r>
            <m:rPr>
              <m:sty m:val="p" />
            </m:rPr>
            <m:t>(</m:t>
          </m:r>
          <m:r>
            <m:t>x</m:t>
          </m:r>
          <m:r>
            <m:rPr>
              <m:sty m:val="p" />
            </m:rPr>
            <m:t>)</m:t>
          </m:r>
          <m:r>
            <m:rPr>
              <m:sty m:val="p" />
            </m:rPr>
            <m:t>=</m:t>
          </m:r>
          <m:f>
            <m:fPr>
              <m:type m:val="bar" />
            </m:fPr>
            <m:num>
              <m:r>
                <m:rPr>
                  <m:sty m:val="p" />
                </m:rPr>
                <m:t>(</m:t>
              </m:r>
              <m:sSubSup>
                <m:e>
                  <m:r>
                    <m:t>a</m:t>
                  </m:r>
                </m:e>
                <m:sub>
                  <m:r>
                    <m:t>i</m:t>
                  </m:r>
                </m:sub>
                <m:sup>
                  <m:r>
                    <m:t>&#8203;</m:t>
                  </m:r>
                </m:sup>
              </m:sSubSup>
              <m:r>
                <m:rPr>
                  <m:sty m:val="p" />
                </m:rPr>
                <m:t>-</m:t>
              </m:r>
              <m:sSubSup>
                <m:e>
                  <m:r>
                    <m:t>x</m:t>
                  </m:r>
                </m:e>
                <m:sub>
                  <m:r>
                    <m:t>&#8203;</m:t>
                  </m:r>
                </m:sub>
                <m:sup>
                  <m:r>
                    <m:t>2</m:t>
                  </m:r>
                </m:sup>
              </m:sSubSup>
              <m:sSubSup>
                <m:e>
                  <m:r>
                    <m:rPr>
                      <m:sty m:val="p" />
                    </m:rPr>
                    <m:t>)</m:t>
                  </m:r>
                </m:e>
                <m:sub>
                  <m:r>
                    <m:t>&#8203;</m:t>
                  </m:r>
                </m:sub>
                <m:sup>
                  <m:r>
                    <m:t>5</m:t>
                  </m:r>
                </m:sup>
              </m:sSubSup>
            </m:num>
            <m:den>
              <m:r>
                <m:t>1</m:t>
              </m:r>
              <m:r>
                <m:rPr>
                  <m:sty m:val="p" />
                </m:rPr>
                <m:t>-</m:t>
              </m:r>
              <m:sSubSup>
                <m:e>
                  <m:r>
                    <m:t>x</m:t>
                  </m:r>
                </m:e>
                <m:sub>
                  <m:r>
                    <m:t>&#8203;</m:t>
                  </m:r>
                </m:sub>
                <m:sup>
                  <m:r>
                    <m:t>3</m:t>
                  </m:r>
                </m:sup>
              </m:sSubSup>
            </m:den>
          </m:f>
        </m:e>
      </m:mr>
      <m:mr>
        <m:e>
          <m:r>
            <m:rPr>
              <m:nor />
              <m:sty m:val="p" />
            </m:rPr>
            <m:t>Stacked exponents</m:t>
          </m:r>
        </m:e>
        <m:e>
          <m:r>
            <m:t>g</m:t>
          </m:r>
          <m:r>
            <m:rPr>
              <m:sty m:val="p" />
            </m:rPr>
            <m:t>(</m:t>
          </m:r>
          <m:r>
            <m:t>z</m:t>
          </m:r>
          <m:r>
            <m:rPr>
              <m:sty m:val="p" />
            </m:rPr>
            <m:t>)</m:t>
          </m:r>
          <m:r>
            <m:rPr>
              <m:sty m:val="p" />
            </m:rPr>
            <m:t>=</m:t>
          </m:r>
          <m:sSubSup>
            <m:e>
              <m:r>
                <m:t>e</m:t>
              </m:r>
            </m:e>
            <m:sub>
              <m:r>
                <m:t>&#8203;</m:t>
              </m:r>
            </m:sub>
            <m:sup>
              <m:r>
                <m:rPr>
                  <m:sty m:val="p" />
                </m:rPr>
                <m:t>-</m:t>
              </m:r>
              <m:sSubSup>
                <m:e>
                  <m:r>
                    <m:t>x</m:t>
                  </m:r>
                </m:e>
                <m:sub>
                  <m:r>
                    <m:t>&#8203;</m:t>
                  </m:r>
                </m:sub>
                <m:sup>
                  <m:r>
                    <m:t>2</m:t>
                  </m:r>
                </m:sup>
              </m:sSubSup>
            </m:sup>
          </m:sSubSup>
        </m:e>
      </m:mr>
      <m:mr>
        <m:e>
          <m:r>
            <m:rPr>
              <m:nor />
              <m:sty m:val="p" />
            </m:rPr>
            <m:t>Stacked exponents</m:t>
          </m:r>
        </m:e>
        <m:e>
          <m:r>
            <m:t>g</m:t>
          </m:r>
          <m:r>
            <m:rPr>
              <m:sty m:val="p" />
            </m:rPr>
            <m:t>(</m:t>
          </m:r>
          <m:r>
            <m:t>z</m:t>
          </m:r>
          <m:r>
            <m:rPr>
              <m:sty m:val="p" />
            </m:rPr>
            <m:t>)</m:t>
          </m:r>
          <m:r>
            <m:rPr>
              <m:sty m:val="p" />
            </m:rPr>
            <m:t>=</m:t>
          </m:r>
          <m:sSubSup>
            <m:e>
              <m:r>
                <m:t>e</m:t>
              </m:r>
            </m:e>
            <m:sub>
              <m:r>
                <m:t>&#8203;</m:t>
              </m:r>
            </m:sub>
            <m:sup>
              <m:r>
                <m:rPr>
                  <m:sty m:val="p" />
                </m:rPr>
                <m:t>-</m:t>
              </m:r>
              <m:r>
                <m:rPr>
                  <m:sty m:val="p" />
                </m:rPr>
                <m:t>(</m:t>
              </m:r>
              <m:r>
                <m:t>z</m:t>
              </m:r>
              <m:r>
                <m:rPr>
                  <m:sty m:val="p" />
                </m:rPr>
                <m:t>-</m:t>
              </m:r>
              <m:r>
                <m:t>a</m:t>
              </m:r>
              <m:sSubSup>
                <m:e>
                  <m:r>
                    <m:rPr>
                      <m:sty m:val="p" />
                    </m:rPr>
                    <m:t>)</m:t>
                  </m:r>
                </m:e>
                <m:sub>
                  <m:r>
                    <m:t>&#8203;</m:t>
                  </m:r>
                </m:sub>
                <m:sup>
                  <m:r>
                    <m:t>2</m:t>
                  </m:r>
                </m:sup>
              </m:sSubSup>
            </m:sup>
          </m:sSubSup>
        </m:e>
      </m:mr>
      <m:mr>
        <m:e>
          <m:r>
            <m:rPr>
              <m:nor />
              <m:sty m:val="p" />
            </m:rPr>
            <m:t>Stacked exponents</m:t>
          </m:r>
        </m:e>
        <m:e>
          <m:r>
            <m:t>g</m:t>
          </m:r>
          <m:r>
            <m:rPr>
              <m:sty m:val="p" />
            </m:rPr>
            <m:t>(</m:t>
          </m:r>
          <m:r>
            <m:t>z</m:t>
          </m:r>
          <m:r>
            <m:rPr>
              <m:sty m:val="p" />
            </m:rPr>
            <m:t>)</m:t>
          </m:r>
          <m:r>
            <m:rPr>
              <m:sty m:val="p" />
            </m:rPr>
            <m:t>=</m:t>
          </m:r>
          <m:sSubSup>
            <m:e>
              <m:r>
                <m:t>e</m:t>
              </m:r>
            </m:e>
            <m:sub>
              <m:r>
                <m:t>&#8203;</m:t>
              </m:r>
            </m:sub>
            <m:sup>
              <m:r>
                <m:rPr>
                  <m:sty m:val="p" />
                </m:rPr>
                <m:t>-</m:t>
              </m:r>
              <m:nary>
                <m:naryPr>
                  <m:chr m:val="∑" />
                  <m:limLoc m:val="undOvr" />
                  <m:subHide m:val="off" />
                  <m:supHide m:val="off" />
                </m:naryPr>
                <m:sub>
                  <m:r>
                    <m:t>i</m:t>
                  </m:r>
                  <m:r>
                    <m:rPr>
                      <m:sty m:val="p" />
                    </m:rPr>
                    <m:t>=</m:t>
                  </m:r>
                  <m:r>
                    <m:t>0</m:t>
                  </m:r>
                </m:sub>
                <m:sup>
                  <m:r>
                    <m:t>∞</m:t>
                  </m:r>
                </m:sup>
                <m:e>
                  <m:sSubSup>
                    <m:e>
                      <m:r>
                        <m:t>z</m:t>
                      </m:r>
                    </m:e>
                    <m:sub>
                      <m:r>
                        <m:t>i</m:t>
                      </m:r>
                    </m:sub>
                    <m:sup>
                      <m:r>
                        <m:t>2</m:t>
                      </m:r>
                    </m:sup>
                  </m:sSubSup>
                </m:e>
              </m:nary>
            </m:sup>
          </m:sSubSup>
        </m:e>
      </m:mr>
      <m:mr>
        <m:e>
          <m:r>
            <m:rPr>
              <m:nor />
              <m:sty m:val="p" />
            </m:rPr>
            <m:t>Stacked exponents</m:t>
          </m:r>
        </m:e>
        <m:e>
          <m:r>
            <m:t>g</m:t>
          </m:r>
          <m:r>
            <m:rPr>
              <m:sty m:val="p" />
            </m:rPr>
            <m:t>(</m:t>
          </m:r>
          <m:r>
            <m:t>y</m:t>
          </m:r>
          <m:r>
            <m:rPr>
              <m:sty m:val="p" />
            </m:rPr>
            <m:t>)</m:t>
          </m:r>
          <m:r>
            <m:rPr>
              <m:sty m:val="p" />
            </m:rPr>
            <m:t>=</m:t>
          </m:r>
          <m:sSubSup>
            <m:e>
              <m:r>
                <m:t>e</m:t>
              </m:r>
            </m:e>
            <m:sub>
              <m:r>
                <m:t>&#8203;</m:t>
              </m:r>
            </m:sub>
            <m:sup>
              <m:r>
                <m:rPr>
                  <m:sty m:val="p" />
                </m:rPr>
                <m:t>-</m:t>
              </m:r>
              <m:nary>
                <m:naryPr>
                  <m:chr m:val="∑" />
                  <m:limLoc m:val="undOvr" />
                  <m:subHide m:val="off" />
                  <m:supHide m:val="off" />
                </m:naryPr>
                <m:sub>
                  <m:r>
                    <m:t>i</m:t>
                  </m:r>
                  <m:r>
                    <m:rPr>
                      <m:sty m:val="p" />
                    </m:rPr>
                    <m:t>=</m:t>
                  </m:r>
                  <m:r>
                    <m:t>0</m:t>
                  </m:r>
                </m:sub>
                <m:sup>
                  <m:r>
                    <m:t>∞</m:t>
                  </m:r>
                </m:sup>
                <m:e>
                  <m:sSubSup>
                    <m:e>
                      <m:r>
                        <m:t>y</m:t>
                      </m:r>
                    </m:e>
                    <m:sub>
                      <m:r>
                        <m:t>i</m:t>
                      </m:r>
                    </m:sub>
                    <m:sup>
                      <m:r>
                        <m:t>2</m:t>
                      </m:r>
                    </m:sup>
                  </m:sSubSup>
                </m:e>
              </m:nary>
            </m:sup>
          </m:sSubSup>
        </m:e>
      </m:mr>
      <m:mr>
        <m:e>
          <m:r>
            <m:rPr>
              <m:nor />
              <m:sty m:val="p" />
            </m:rPr>
            <m:t>Stacked exponents</m:t>
          </m:r>
        </m:e>
        <m:e>
          <m:r>
            <m:t>g</m:t>
          </m:r>
          <m:r>
            <m:rPr>
              <m:sty m:val="p" />
            </m:rPr>
            <m:t>(</m:t>
          </m:r>
          <m:r>
            <m:t>z</m:t>
          </m:r>
          <m:r>
            <m:rPr>
              <m:sty m:val="p" />
            </m:rPr>
            <m:t>)</m:t>
          </m:r>
          <m:r>
            <m:rPr>
              <m:sty m:val="p" />
            </m:rPr>
            <m:t>=</m:t>
          </m:r>
          <m:sSubSup>
            <m:e>
              <m:r>
                <m:t>e</m:t>
              </m:r>
            </m:e>
            <m:sub>
              <m:r>
                <m:t>&#8203;</m:t>
              </m:r>
            </m:sub>
            <m:sup>
              <m:r>
                <m:rPr>
                  <m:sty m:val="p" />
                </m:rPr>
                <m:t>-</m:t>
              </m:r>
              <m:nary>
                <m:naryPr>
                  <m:chr m:val="∑" />
                  <m:limLoc m:val="undOvr" />
                  <m:subHide m:val="off" />
                  <m:supHide m:val="off" />
                </m:naryPr>
                <m:sub>
                  <m:r>
                    <m:t>i</m:t>
                  </m:r>
                  <m:r>
                    <m:rPr>
                      <m:sty m:val="p" />
                    </m:rPr>
                    <m:t>=</m:t>
                  </m:r>
                  <m:r>
                    <m:t>0</m:t>
                  </m:r>
                </m:sub>
                <m:sup>
                  <m:r>
                    <m:t>∞</m:t>
                  </m:r>
                </m:sup>
                <m:e>
                  <m:sSubSup>
                    <m:e>
                      <m:r>
                        <m:t>z</m:t>
                      </m:r>
                    </m:e>
                    <m:sub>
                      <m:r>
                        <m:t>&#8203;</m:t>
                      </m:r>
                    </m:sub>
                    <m:sup>
                      <m:f>
                        <m:fPr>
                          <m:type m:val="bar" />
                        </m:fPr>
                        <m:num>
                          <m:r>
                            <m:t>2</m:t>
                          </m:r>
                        </m:num>
                        <m:den>
                          <m:r>
                            <m:t>a</m:t>
                          </m:r>
                          <m:r>
                            <m:rPr>
                              <m:sty m:val="p" />
                            </m:rPr>
                            <m:t>-</m:t>
                          </m:r>
                          <m:r>
                            <m:t>i</m:t>
                          </m:r>
                        </m:den>
                      </m:f>
                    </m:sup>
                  </m:sSubSup>
                </m:e>
              </m:nary>
            </m:sup>
          </m:sSubSup>
        </m:e>
      </m:mr>
      <m:mr>
        <m:e>
          <m:r>
            <m:rPr>
              <m:nor />
              <m:sty m:val="p" />
            </m:rPr>
            <m:t>Cross Product</m:t>
          </m:r>
        </m:e>
        <m:e>
          <m:f>
            <m:fPr>
              <m:type m:val="bar" />
            </m:fPr>
            <m:num>
              <m:sSubSup>
                <m:e>
                  <m:r>
                    <m:t>x</m:t>
                  </m:r>
                </m:e>
                <m:sub>
                  <m:r>
                    <m:t>1</m:t>
                  </m:r>
                </m:sub>
                <m:sup>
                  <m:r>
                    <m:t>&#8203;</m:t>
                  </m:r>
                </m:sup>
              </m:sSubSup>
              <m:r>
                <m:rPr>
                  <m:sty m:val="p" />
                </m:rPr>
                <m:t>-</m:t>
              </m:r>
              <m:sSubSup>
                <m:e>
                  <m:r>
                    <m:t>x</m:t>
                  </m:r>
                </m:e>
                <m:sub>
                  <m:r>
                    <m:t>2</m:t>
                  </m:r>
                </m:sub>
                <m:sup>
                  <m:r>
                    <m:t>&#8203;</m:t>
                  </m:r>
                </m:sup>
              </m:sSubSup>
            </m:num>
            <m:den>
              <m:sSubSup>
                <m:e>
                  <m:r>
                    <m:t>x</m:t>
                  </m:r>
                </m:e>
                <m:sub>
                  <m:r>
                    <m:t>3</m:t>
                  </m:r>
                </m:sub>
                <m:sup>
                  <m:r>
                    <m:t>&#8203;</m:t>
                  </m:r>
                </m:sup>
              </m:sSubSup>
              <m:r>
                <m:rPr>
                  <m:sty m:val="p" />
                </m:rPr>
                <m:t>-</m:t>
              </m:r>
              <m:sSubSup>
                <m:e>
                  <m:r>
                    <m:t>x</m:t>
                  </m:r>
                </m:e>
                <m:sub>
                  <m:r>
                    <m:t>4</m:t>
                  </m:r>
                </m:sub>
                <m:sup>
                  <m:r>
                    <m:t>&#8203;</m:t>
                  </m:r>
                </m:sup>
              </m:sSubSup>
            </m:den>
          </m:f>
          <m:f>
            <m:fPr>
              <m:type m:val="bar" />
            </m:fPr>
            <m:num>
              <m:sSubSup>
                <m:e>
                  <m:r>
                    <m:t>x</m:t>
                  </m:r>
                </m:e>
                <m:sub>
                  <m:r>
                    <m:t>1</m:t>
                  </m:r>
                </m:sub>
                <m:sup>
                  <m:r>
                    <m:t>&#8203;</m:t>
                  </m:r>
                </m:sup>
              </m:sSubSup>
              <m:r>
                <m:rPr>
                  <m:sty m:val="p" />
                </m:rPr>
                <m:t>-</m:t>
              </m:r>
              <m:sSubSup>
                <m:e>
                  <m:r>
                    <m:t>x</m:t>
                  </m:r>
                </m:e>
                <m:sub>
                  <m:r>
                    <m:t>4</m:t>
                  </m:r>
                </m:sub>
                <m:sup>
                  <m:r>
                    <m:t>&#8203;</m:t>
                  </m:r>
                </m:sup>
              </m:sSubSup>
            </m:num>
            <m:den>
              <m:sSubSup>
                <m:e>
                  <m:r>
                    <m:t>x</m:t>
                  </m:r>
                </m:e>
                <m:sub>
                  <m:r>
                    <m:t>2</m:t>
                  </m:r>
                </m:sub>
                <m:sup>
                  <m:r>
                    <m:t>&#8203;</m:t>
                  </m:r>
                </m:sup>
              </m:sSubSup>
              <m:r>
                <m:rPr>
                  <m:sty m:val="p" />
                </m:rPr>
                <m:t>-</m:t>
              </m:r>
              <m:sSubSup>
                <m:e>
                  <m:r>
                    <m:t>x</m:t>
                  </m:r>
                </m:e>
                <m:sub>
                  <m:r>
                    <m:t>3</m:t>
                  </m:r>
                </m:sub>
                <m:sup>
                  <m:r>
                    <m:t>&#8203;</m:t>
                  </m:r>
                </m:sup>
              </m:sSubSup>
            </m:den>
          </m:f>
        </m:e>
      </m:mr>
      <m:mr>
        <m:e>
          <m:r>
            <m:rPr>
              <m:nor />
              <m:sty m:val="p" />
            </m:rPr>
            <m:t>Cross Product</m:t>
          </m:r>
        </m:e>
        <m:e>
          <m:r>
            <m:rPr>
              <m:sty m:val="p" />
            </m:rPr>
            <m:t>(</m:t>
          </m:r>
          <m:f>
            <m:fPr>
              <m:type m:val="bar" />
            </m:fPr>
            <m:num>
              <m:sSubSup>
                <m:e>
                  <m:r>
                    <m:t>x</m:t>
                  </m:r>
                </m:e>
                <m:sub>
                  <m:r>
                    <m:t>1</m:t>
                  </m:r>
                </m:sub>
                <m:sup>
                  <m:r>
                    <m:t>&#8203;</m:t>
                  </m:r>
                </m:sup>
              </m:sSubSup>
              <m:r>
                <m:rPr>
                  <m:sty m:val="p" />
                </m:rPr>
                <m:t>-</m:t>
              </m:r>
              <m:sSubSup>
                <m:e>
                  <m:r>
                    <m:t>x</m:t>
                  </m:r>
                </m:e>
                <m:sub>
                  <m:r>
                    <m:t>2</m:t>
                  </m:r>
                </m:sub>
                <m:sup>
                  <m:r>
                    <m:t>&#8203;</m:t>
                  </m:r>
                </m:sup>
              </m:sSubSup>
            </m:num>
            <m:den>
              <m:sSubSup>
                <m:e>
                  <m:r>
                    <m:t>x</m:t>
                  </m:r>
                </m:e>
                <m:sub>
                  <m:r>
                    <m:t>3</m:t>
                  </m:r>
                </m:sub>
                <m:sup>
                  <m:r>
                    <m:t>&#8203;</m:t>
                  </m:r>
                </m:sup>
              </m:sSubSup>
              <m:r>
                <m:rPr>
                  <m:sty m:val="p" />
                </m:rPr>
                <m:t>-</m:t>
              </m:r>
              <m:sSubSup>
                <m:e>
                  <m:r>
                    <m:t>x</m:t>
                  </m:r>
                </m:e>
                <m:sub>
                  <m:r>
                    <m:t>4</m:t>
                  </m:r>
                </m:sub>
                <m:sup>
                  <m:r>
                    <m:t>&#8203;</m:t>
                  </m:r>
                </m:sup>
              </m:sSubSup>
            </m:den>
          </m:f>
          <m:r>
            <m:rPr>
              <m:sty m:val="p" />
            </m:rPr>
            <m:t>)</m:t>
          </m:r>
          <m:r>
            <m:rPr>
              <m:sty m:val="p" />
            </m:rPr>
            <m:t>(</m:t>
          </m:r>
          <m:f>
            <m:fPr>
              <m:type m:val="bar" />
            </m:fPr>
            <m:num>
              <m:sSubSup>
                <m:e>
                  <m:r>
                    <m:t>x</m:t>
                  </m:r>
                </m:e>
                <m:sub>
                  <m:r>
                    <m:t>1</m:t>
                  </m:r>
                </m:sub>
                <m:sup>
                  <m:r>
                    <m:t>&#8203;</m:t>
                  </m:r>
                </m:sup>
              </m:sSubSup>
              <m:r>
                <m:rPr>
                  <m:sty m:val="p" />
                </m:rPr>
                <m:t>-</m:t>
              </m:r>
              <m:sSubSup>
                <m:e>
                  <m:r>
                    <m:t>x</m:t>
                  </m:r>
                </m:e>
                <m:sub>
                  <m:r>
                    <m:t>4</m:t>
                  </m:r>
                </m:sub>
                <m:sup>
                  <m:r>
                    <m:t>&#8203;</m:t>
                  </m:r>
                </m:sup>
              </m:sSubSup>
            </m:num>
            <m:den>
              <m:sSubSup>
                <m:e>
                  <m:r>
                    <m:t>x</m:t>
                  </m:r>
                </m:e>
                <m:sub>
                  <m:r>
                    <m:t>2</m:t>
                  </m:r>
                </m:sub>
                <m:sup>
                  <m:r>
                    <m:t>&#8203;</m:t>
                  </m:r>
                </m:sup>
              </m:sSubSup>
              <m:r>
                <m:rPr>
                  <m:sty m:val="p" />
                </m:rPr>
                <m:t>-</m:t>
              </m:r>
              <m:sSubSup>
                <m:e>
                  <m:r>
                    <m:t>x</m:t>
                  </m:r>
                </m:e>
                <m:sub>
                  <m:r>
                    <m:t>3</m:t>
                  </m:r>
                </m:sub>
                <m:sup>
                  <m:r>
                    <m:t>&#8203;</m:t>
                  </m:r>
                </m:sup>
              </m:sSubSup>
            </m:den>
          </m:f>
          <m:r>
            <m:rPr>
              <m:sty m:val="p" />
            </m:rPr>
            <m:t>)</m:t>
          </m:r>
        </m:e>
      </m:mr>
      <m:mr>
        <m:e>
          <m:r>
            <m:rPr>
              <m:nor />
              <m:sty m:val="p" />
            </m:rPr>
            <m:t>Cross Product</m:t>
          </m:r>
        </m:e>
        <m:e>
          <m:d>
            <m:dPr>
              <m:begChr m:val="(" />
              <m:endChr m:val=")" />
              <m:sepChr m:val="" />
              <m:grow />
            </m:dPr>
            <m:e>
              <m:f>
                <m:fPr>
                  <m:type m:val="bar" />
                </m:fPr>
                <m:num>
                  <m:sSubSup>
                    <m:e>
                      <m:r>
                        <m:t>x</m:t>
                      </m:r>
                    </m:e>
                    <m:sub>
                      <m:r>
                        <m:t>1</m:t>
                      </m:r>
                    </m:sub>
                    <m:sup>
                      <m:r>
                        <m:t>&#8203;</m:t>
                      </m:r>
                    </m:sup>
                  </m:sSubSup>
                  <m:r>
                    <m:rPr>
                      <m:sty m:val="p" />
                    </m:rPr>
                    <m:t>-</m:t>
                  </m:r>
                  <m:sSubSup>
                    <m:e>
                      <m:r>
                        <m:t>x</m:t>
                      </m:r>
                    </m:e>
                    <m:sub>
                      <m:r>
                        <m:t>2</m:t>
                      </m:r>
                    </m:sub>
                    <m:sup>
                      <m:r>
                        <m:t>&#8203;</m:t>
                      </m:r>
                    </m:sup>
                  </m:sSubSup>
                </m:num>
                <m:den>
                  <m:sSubSup>
                    <m:e>
                      <m:r>
                        <m:t>x</m:t>
                      </m:r>
                    </m:e>
                    <m:sub>
                      <m:r>
                        <m:t>3</m:t>
                      </m:r>
                    </m:sub>
                    <m:sup>
                      <m:r>
                        <m:t>&#8203;</m:t>
                      </m:r>
                    </m:sup>
                  </m:sSubSup>
                  <m:r>
                    <m:rPr>
                      <m:sty m:val="p" />
                    </m:rPr>
                    <m:t>-</m:t>
                  </m:r>
                  <m:sSubSup>
                    <m:e>
                      <m:r>
                        <m:t>x</m:t>
                      </m:r>
                    </m:e>
                    <m:sub>
                      <m:r>
                        <m:t>4</m:t>
                      </m:r>
                    </m:sub>
                    <m:sup>
                      <m:r>
                        <m:t>&#8203;</m:t>
                      </m:r>
                    </m:sup>
                  </m:sSubSup>
                </m:den>
              </m:f>
            </m:e>
          </m:d>
          <m:d>
            <m:dPr>
              <m:begChr m:val="(" />
              <m:endChr m:val=")" />
              <m:sepChr m:val="" />
              <m:grow />
            </m:dPr>
            <m:e>
              <m:f>
                <m:fPr>
                  <m:type m:val="bar" />
                </m:fPr>
                <m:num>
                  <m:sSubSup>
                    <m:e>
                      <m:r>
                        <m:t>x</m:t>
                      </m:r>
                    </m:e>
                    <m:sub>
                      <m:r>
                        <m:t>1</m:t>
                      </m:r>
                    </m:sub>
                    <m:sup>
                      <m:r>
                        <m:t>&#8203;</m:t>
                      </m:r>
                    </m:sup>
                  </m:sSubSup>
                  <m:r>
                    <m:rPr>
                      <m:sty m:val="p" />
                    </m:rPr>
                    <m:t>-</m:t>
                  </m:r>
                  <m:sSubSup>
                    <m:e>
                      <m:r>
                        <m:t>x</m:t>
                      </m:r>
                    </m:e>
                    <m:sub>
                      <m:r>
                        <m:t>4</m:t>
                      </m:r>
                    </m:sub>
                    <m:sup>
                      <m:r>
                        <m:t>&#8203;</m:t>
                      </m:r>
                    </m:sup>
                  </m:sSubSup>
                </m:num>
                <m:den>
                  <m:sSubSup>
                    <m:e>
                      <m:r>
                        <m:t>x</m:t>
                      </m:r>
                    </m:e>
                    <m:sub>
                      <m:r>
                        <m:t>2</m:t>
                      </m:r>
                    </m:sub>
                    <m:sup>
                      <m:r>
                        <m:t>&#8203;</m:t>
                      </m:r>
                    </m:sup>
                  </m:sSubSup>
                  <m:r>
                    <m:rPr>
                      <m:sty m:val="p" />
                    </m:rPr>
                    <m:t>-</m:t>
                  </m:r>
                  <m:sSubSup>
                    <m:e>
                      <m:r>
                        <m:t>x</m:t>
                      </m:r>
                    </m:e>
                    <m:sub>
                      <m:r>
                        <m:t>3</m:t>
                      </m:r>
                    </m:sub>
                    <m:sup>
                      <m:r>
                        <m:t>&#8203;</m:t>
                      </m:r>
                    </m:sup>
                  </m:sSubSup>
                </m:den>
              </m:f>
            </m:e>
          </m:d>
        </m:e>
      </m:mr>
      <m:mr>
        <m:e>
          <m:r>
            <m:rPr>
              <m:nor />
              <m:sty m:val="p" />
            </m:rPr>
            <m:t>Cross Product</m:t>
          </m:r>
        </m:e>
        <m:e>
          <m:f>
            <m:fPr>
              <m:type m:val="bar" />
            </m:fPr>
            <m:num>
              <m:r>
                <m:rPr>
                  <m:sty m:val="p" />
                </m:rPr>
                <m:t>(</m:t>
              </m:r>
              <m:sSubSup>
                <m:e>
                  <m:r>
                    <m:t>x</m:t>
                  </m:r>
                </m:e>
                <m:sub>
                  <m:r>
                    <m:t>1</m:t>
                  </m:r>
                </m:sub>
                <m:sup>
                  <m:r>
                    <m:t>&#8203;</m:t>
                  </m:r>
                </m:sup>
              </m:sSubSup>
              <m:r>
                <m:rPr>
                  <m:sty m:val="p" />
                </m:rPr>
                <m:t>-</m:t>
              </m:r>
              <m:sSubSup>
                <m:e>
                  <m:r>
                    <m:t>x</m:t>
                  </m:r>
                </m:e>
                <m:sub>
                  <m:r>
                    <m:t>2</m:t>
                  </m:r>
                </m:sub>
                <m:sup>
                  <m:r>
                    <m:t>&#8203;</m:t>
                  </m:r>
                </m:sup>
              </m:sSubSup>
              <m:r>
                <m:rPr>
                  <m:sty m:val="p" />
                </m:rPr>
                <m:t>)</m:t>
              </m:r>
              <m:r>
                <m:rPr>
                  <m:sty m:val="p" />
                </m:rPr>
                <m:t>(</m:t>
              </m:r>
              <m:sSubSup>
                <m:e>
                  <m:r>
                    <m:t>x</m:t>
                  </m:r>
                </m:e>
                <m:sub>
                  <m:r>
                    <m:t>3</m:t>
                  </m:r>
                </m:sub>
                <m:sup>
                  <m:r>
                    <m:t>&#8203;</m:t>
                  </m:r>
                </m:sup>
              </m:sSubSup>
              <m:r>
                <m:rPr>
                  <m:sty m:val="p" />
                </m:rPr>
                <m:t>-</m:t>
              </m:r>
              <m:sSubSup>
                <m:e>
                  <m:r>
                    <m:t>x</m:t>
                  </m:r>
                </m:e>
                <m:sub>
                  <m:r>
                    <m:t>4</m:t>
                  </m:r>
                </m:sub>
                <m:sup>
                  <m:r>
                    <m:t>&#8203;</m:t>
                  </m:r>
                </m:sup>
              </m:sSubSup>
              <m:r>
                <m:rPr>
                  <m:sty m:val="p" />
                </m:rPr>
                <m:t>)</m:t>
              </m:r>
            </m:num>
            <m:den>
              <m:r>
                <m:rPr>
                  <m:sty m:val="p" />
                </m:rPr>
                <m:t>(</m:t>
              </m:r>
              <m:sSubSup>
                <m:e>
                  <m:r>
                    <m:t>x</m:t>
                  </m:r>
                </m:e>
                <m:sub>
                  <m:r>
                    <m:t>1</m:t>
                  </m:r>
                </m:sub>
                <m:sup>
                  <m:r>
                    <m:t>&#8203;</m:t>
                  </m:r>
                </m:sup>
              </m:sSubSup>
              <m:r>
                <m:rPr>
                  <m:sty m:val="p" />
                </m:rPr>
                <m:t>-</m:t>
              </m:r>
              <m:sSubSup>
                <m:e>
                  <m:r>
                    <m:t>x</m:t>
                  </m:r>
                </m:e>
                <m:sub>
                  <m:r>
                    <m:t>4</m:t>
                  </m:r>
                </m:sub>
                <m:sup>
                  <m:r>
                    <m:t>&#8203;</m:t>
                  </m:r>
                </m:sup>
              </m:sSubSup>
              <m:r>
                <m:rPr>
                  <m:sty m:val="p" />
                </m:rPr>
                <m:t>)</m:t>
              </m:r>
              <m:r>
                <m:rPr>
                  <m:sty m:val="p" />
                </m:rPr>
                <m:t>(</m:t>
              </m:r>
              <m:sSubSup>
                <m:e>
                  <m:r>
                    <m:t>x</m:t>
                  </m:r>
                </m:e>
                <m:sub>
                  <m:r>
                    <m:t>2</m:t>
                  </m:r>
                </m:sub>
                <m:sup>
                  <m:r>
                    <m:t>&#8203;</m:t>
                  </m:r>
                </m:sup>
              </m:sSubSup>
              <m:r>
                <m:rPr>
                  <m:sty m:val="p" />
                </m:rPr>
                <m:t>-</m:t>
              </m:r>
              <m:sSubSup>
                <m:e>
                  <m:r>
                    <m:t>x</m:t>
                  </m:r>
                </m:e>
                <m:sub>
                  <m:r>
                    <m:t>3</m:t>
                  </m:r>
                </m:sub>
                <m:sup>
                  <m:r>
                    <m:t>&#8203;</m:t>
                  </m:r>
                </m:sup>
              </m:sSubSup>
              <m:r>
                <m:rPr>
                  <m:sty m:val="p" />
                </m:rPr>
                <m:t>)</m:t>
              </m:r>
            </m:den>
          </m:f>
        </m:e>
      </m:mr>
    </m:m>
  </m:oMath>
</m:oMathPara>