passed

complex1

short complexity test

W3C sample	WIRIS
	$\begin{matrix} Bernoulli Trials & P (E) Probability of event E: Get exactly k heads in n coin flips. = (\binom{n}{k}) Number of ways to get exactly k heads in n coin flips {p Probability of getting heads in one flip}_{}^{k Number of heads} {(1 - p) Probability of getting tails in one flip}_{}^{n - k Number of tails} \\ Cauchy-Schwarz Inequality & {(\sum_{k = 1}^{n} a_{k}^{} b_{k}^{})}_{}^{2} \leq (\sum_{k = 1}^{n} a_{k}^{2}) (\sum_{k = 1}^{n} b_{k}^{2}) \\ Cauchy Formula & f (z) \cdot {Ind}_{γ}^{} (z) = \frac{1}{2 π i} \oint_{γ}^{} \frac{f (ξ)}{ξ - z} d ξ \\ Cross Product & V_{1}^{} \times V_{2}^{} = \| \begin{matrix} i & j & k \\ \frac{\partial X}{\partial u} & \frac{\partial Y}{\partial u} & 0 \\ \frac{\partial X}{\partial v} & \frac{\partial Y}{\partial v} & 0 \end{matrix} \| \\ Vandermonde Determinant & \| \begin{matrix} 1 & 1 & \dots & 1 \\ v_{1}^{} & v_{2}^{} & \dots & v_{n}^{} \\ v_{1}^{2} & v_{2}^{2} & \dots & v_{n}^{2} \\ ⋮ & ⋮ & ⋱ & ⋮ \\ v_{1}^{n - 1} & v_{2}^{n - 1} & \dots & v_{n}^{n - 1} \end{matrix} \| = \prod_{1 \leq i < j \leq n}^{} (v_{j}^{} - v_{i}^{}) \\ Lorenz Equations & \begin{array}{rcl} x_{}^{˙} & = & σ (y - x) \\ y_{}^{˙} & = & ρ x - y - x z \\ z_{}^{˙} & = & - β z + x y \end{array} \\ Maxwell's Equations & {\begin{array}{rcl} \nabla \times B_{}^{↼} - \frac{1}{c} \frac{\partial E_{}^{↼}}{\partial t} & = & \frac{4 π}{c} j_{}^{↼} \\ \nabla \cdot E_{}^{↼} & = & 4 π ρ \\ \nabla \times E_{}^{↼} + \frac{1}{c} \frac{\partial B_{}^{↼}}{\partial t} & = & 0_{}^{↼} \\ \nabla \cdot B_{}^{↼} & = & 0 \end{array} \\ Einstein Field Equations & R_{μ ν}^{} - \frac{1}{2} g_{μ ν}^{} R = \frac{8 π G}{c_{}^{4}} T_{μ ν}^{} \\ Ramanujan Identity & \frac{1}{(\sqrt{φ \sqrt{5}} - φ) e_{}^{\frac{25}{π}}} = 1 + \frac{e_{}^{- 2 π}}{1 + \frac{e_{}^{- 4 π}}{1 + \frac{e_{}^{- 6 π}}{1 + \frac{e_{}^{- 8 π}}{1 + \dots}}}} \\ Another Ramanujan identity & \sum_{k = 1}^{\infty} \frac{1}{2_{}^{⌊ k \cdot φ ⌋}} = \frac{1}{2_{}^{0} + \frac{1}{2_{}^{1} + \dots \frac{1}{2_{}^{1} + \frac{1}{2_{}^{2} + \dots \frac{1}{2_{}^{3} + \frac{1}{2_{}^{5} + \dots}}}}}} \\ Rogers-Ramanujan Identity & 1 + \sum_{k = 1}^{\infty} \frac{q_{}^{k_{}^{2} + k}}{(1 - q) (1 - q_{}^{2}) \dots (1 - q_{}^{k})} \frac{q_{}^{2}}{(1 - q)} + \frac{q_{}^{6}}{(1 - q) (1 - q_{}^{2})} + \dots = \prod_{j = 0}^{\infty} \frac{1}{(1 - q_{}^{5 j + 2}) (1 - q_{}^{5 j + 3})} \frac{1}{(1 - q_{}^{2}) (1 - q_{}^{3})} \times \frac{1}{(1 - q_{}^{7}) (1 - q_{}^{8})} \times \dots, f o r \| q \| < 1 . \\ Commutative Diagram & \begin{matrix} H & \leftarrow & K \\ ↓ & ↑ \\ H & \to & K \end{matrix} \end{matrix}$

W3C sample

WIRIS

\begin{matrix} Bernoulli Trials & P (E) Probability of event E: Get exactly k heads in n coin flips. = (\binom{n}{k}) Number of ways to get exactly k heads in n coin flips {p Probability of getting heads in one flip}_{}^{k Number of heads} {(1 - p) Probability of getting tails in one flip}_{}^{n - k Number of tails} \\ Cauchy-Schwarz Inequality & {(\sum_{k = 1}^{n} a_{k}^{} b_{k}^{})}_{}^{2} \leq (\sum_{k = 1}^{n} a_{k}^{2}) (\sum_{k = 1}^{n} b_{k}^{2}) \\ Cauchy Formula & f (z) \cdot {Ind}_{γ}^{} (z) = \frac{1}{2 π i} \oint_{γ}^{} \frac{f (ξ)}{ξ - z} d ξ \\ Cross Product & V_{1}^{} \times V_{2}^{} = | \begin{matrix} i & j & k \\ \frac{\partial X}{\partial u} & \frac{\partial Y}{\partial u} & 0 \\ \frac{\partial X}{\partial v} & \frac{\partial Y}{\partial v} & 0 \end{matrix} | \\ Vandermonde Determinant & | \begin{matrix} 1 & 1 & \dots & 1 \\ v_{1}^{} & v_{2}^{} & \dots & v_{n}^{} \\ v_{1}^{2} & v_{2}^{2} & \dots & v_{n}^{2} \\ ⋮ & ⋮ & ⋱ & ⋮ \\ v_{1}^{n - 1} & v_{2}^{n - 1} & \dots & v_{n}^{n - 1} \end{matrix} | = \prod_{1 \leq i < j \leq n}^{} (v_{j}^{} - v_{i}^{}) \\ Lorenz Equations & \begin{array}{rcl} x_{}^{˙} & = & σ (y - x) \\ y_{}^{˙} & = & ρ x - y - x z \\ z_{}^{˙} & = & - β z + x y \end{array} \\ Maxwell's Equations & {\begin{array}{rcl} \nabla ​ \times B_{}^{↼} - \frac{1}{c} \frac{\partial ​ E_{}^{↼}}{\partial ​ t} & = & \frac{4 π}{c} j_{}^{↼} \\ \nabla ​ \cdot E_{}^{↼} & = & 4 π ρ \\ \nabla ​ \times E_{}^{↼} + \frac{1}{c} \frac{\partial ​ B_{}^{↼}}{\partial ​ t} & = & 0_{}^{↼} \\ \nabla ​ \cdot B_{}^{↼} & = & 0 \end{array} \\ Einstein Field Equations & R_{μ ν}^{} - \frac{1}{2} g_{μ ν}^{} R = \frac{8 π G}{c_{}^{4}} T_{μ ν}^{} \\ Ramanujan Identity & \frac{1}{(\sqrt{φ \sqrt{5}} - φ) e_{}^{\frac{25}{π}}} = 1 + \frac{e_{}^{- 2 π}}{1 + \frac{e_{}^{- 4 π}}{1 + \frac{e_{}^{- 6 π}}{1 + \frac{e_{}^{- 8 π}}{1 + \dots}}}} \\ Another Ramanujan identity & \sum_{k = 1}^{\infty} \frac{1}{2_{}^{⌊ k \cdot ​ φ ⌋}} = \frac{1}{2_{}^{0} + \frac{1}{2_{}^{1} + \dots \frac{1}{2_{}^{1} + \frac{1}{2_{}^{2} + \dots \frac{1}{2_{}^{3} + \frac{1}{2_{}^{5} + \dots}}}}}} \\ Rogers-Ramanujan Identity & 1 + \sum_{k = 1}^{\infty} \frac{q_{}^{k_{}^{2} + k}}{(1 - q) (1 - q_{}^{2}) \dots (1 - q_{}^{k})} \frac{q_{}^{2}}{(1 - q)} + \frac{q_{}^{6}}{(1 - q) (1 - q_{}^{2})} + \dots = \prod_{j = 0}^{\infty} \frac{1}{(1 - q_{}^{5 j + 2}) (1 - q_{}^{5 j + 3})} \frac{1}{(1 - q_{}^{2}) (1 - q_{}^{3})} \times \frac{1}{(1 - q_{}^{7}) (1 - q_{}^{8})} \times \dots, f o r | q | < 1 . \\ Commutative Diagram & \begin{matrix} H & \leftarrow & K \\ ↓ & ↑ \\ H & \to & K \end{matrix} \end{matrix}

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                        <mi>E</mi>
                      </mstyle>
                      <mrow/>
                      <mo stretchy="true">&#x21BC;</mo>
                    </munderover>
                    <mtext>&#x2009;</mtext>
                    <mo>+</mo>
                    <mtext>&#x2009;</mtext>
                    <mfrac>
                      <mn>1</mn>
                      <mi>c</mi>
                    </mfrac>
                    <mtext>&#x2009;</mtext>
                    <mfrac>
                      <mrow>
                        <mo>&#x2202;</mo>
                        <mtext>&#x200B;</mtext>
                        <munderover accent="true">
                          <mstyle fontweight="bold">
                            <mi>B</mi>
                          </mstyle>
                          <mrow/>
                          <mo stretchy="true">&#x21BC;</mo>
                        </munderover>
                      </mrow>
                      <mrow>
                        <mo>&#x2202;</mo>
                        <mtext>&#x200B;</mtext>
                        <mi>t</mi>
                      </mrow>
                    </mfrac>
                  </mrow>
                </mtd>
                <mtd>
                  <mo>=</mo>
                </mtd>
                <mtd>
                  <munderover accent="true">
                    <mstyle fontweight="bold">
                      <mn>0</mn>
                    </mstyle>
                    <mrow/>
                    <mo stretchy="true">&#x21BC;</mo>
                  </munderover>
                </mtd>
              </mtr>
              <mtr>
                <mtd>
                  <mrow>
                    <mo>&#x2207;</mo>
                    <mtext>&#x200B;</mtext>
                    <mo>&#x00B7;</mo>
                    <munderover accent="true">
                      <mstyle fontweight="bold">
                        <mi>B</mi>
                      </mstyle>
                      <mrow/>
                      <mo stretchy="true">&#x21BC;</mo>
                    </munderover>
                  </mrow>
                </mtd>
                <mtd>
                  <mo>=</mo>
                </mtd>
                <mtd>
                  <mn>0</mn>
                </mtd>
              </mtr>
            </mtable>
          </mrow>
        </mstyle>
      </mtd>
    </mtr>
    <mtr>
      <mtd>
        <mtext>Einstein Field Equations</mtext>
      </mtd>
      <mtd>
        <mstyle displaystyle="true">
          <mrow>
            <msubsup>
              <mstyle fontstyle="normal">
                <mi>R</mi>
              </mstyle>
              <mstyle scriptlevel="1">
                <mrow>
                  <mi>&#x03BC;</mi>
                  <mi>&#x03BD;</mi>
                </mrow>
              </mstyle>
              <mrow/>
            </msubsup>
            <mo>-</mo>
            <mfrac>
              <mn>1</mn>
              <mn>2</mn>
            </mfrac>
            <mtext>&#x2009;</mtext>
            <msubsup>
              <mi>g</mi>
              <mstyle scriptlevel="1">
                <mrow>
                  <mi>&#x03BC;</mi>
                  <mi>&#x03BD;</mi>
                </mrow>
              </mstyle>
              <mrow/>
            </msubsup>
            <mtext>&#x2009;</mtext>
            <mstyle fontstyle="normal">
              <mi>R</mi>
            </mstyle>
            <mo>=</mo>
            <mfrac>
              <mrow>
                <mn>8</mn>
                <mi>&#x03C0;</mi>
                <mstyle fontstyle="normal">
                  <mi>G</mi>
                </mstyle>
              </mrow>
              <msubsup>
                <mi>c</mi>
                <mrow/>
                <mn>4</mn>
              </msubsup>
            </mfrac>
            <mtext>&#x2009;</mtext>
            <msubsup>
              <mstyle fontstyle="normal">
                <mi>T</mi>
              </mstyle>
              <mstyle scriptlevel="1">
                <mrow>
                  <mi>&#x03BC;</mi>
                  <mi>&#x03BD;</mi>
                </mrow>
              </mstyle>
              <mrow/>
            </msubsup>
          </mrow>
        </mstyle>
      </mtd>
    </mtr>
    <mtr>
      <mtd>
        <mtext>Ramanujan Identity</mtext>
      </mtd>
      <mtd>
        <mrow>
          <mfrac>
            <mn>1</mn>
            <mrow>
              <mo stretchy="false">(</mo>
              <msqrt>
                <mrow>
                  <mi>&#x03C6;</mi>
                  <msqrt>
                    <mn>5</mn>
                  </msqrt>
                </mrow>
              </msqrt>
              <mo>-</mo>
              <mi>&#x03C6;</mi>
              <mo stretchy="false">)</mo>
              <msubsup>
                <mi>e</mi>
                <mrow/>
                <mfrac>
                  <mn>25</mn>
                  <mi>&#x03C0;</mi>
                </mfrac>
              </msubsup>
            </mrow>
          </mfrac>
          <mo>=</mo>
          <mn>1</mn>
          <mo>+</mo>
          <mstyle scriptlevel="1">
            <mfrac>
              <msubsup>
                <mi>e</mi>
                <mrow/>
                <mstyle scriptlevel="2">
                  <mrow>
                    <mo>-</mo>
                    <mn>2</mn>
                    <mi>&#x03C0;</mi>
                  </mrow>
                </mstyle>
              </msubsup>
              <mrow>
                <mn>1</mn>
                <mo>+</mo>
                <mfrac>
                  <msubsup>
                    <mi>e</mi>
                    <mrow/>
                    <mstyle scriptlevel="2">
                      <mrow>
                        <mo>-</mo>
                        <mn>4</mn>
                        <mi>&#x03C0;</mi>
                      </mrow>
                    </mstyle>
                  </msubsup>
                  <mrow>
                    <mn>1</mn>
                    <mo>+</mo>
                    <mfrac>
                      <msubsup>
                        <mi>e</mi>
                        <mrow/>
                        <mstyle scriptlevel="2">
                          <mrow>
                            <mo>-</mo>
                            <mn>6</mn>
                            <mi>&#x03C0;</mi>
                          </mrow>
                        </mstyle>
                      </msubsup>
                      <mrow>
                        <mn>1</mn>
                        <mo>+</mo>
                        <mfrac>
                          <msubsup>
                            <mi>e</mi>
                            <mrow/>
                            <mstyle scriptlevel="2">
                              <mrow>
                                <mo>-</mo>
                                <mn>8</mn>
                                <mi>&#x03C0;</mi>
                              </mrow>
                            </mstyle>
                          </msubsup>
                          <mrow>
                            <mn>1</mn>
                            <mo>+</mo>
                            <mo>&#x2026;</mo>
                          </mrow>
                        </mfrac>
                      </mrow>
                    </mfrac>
                  </mrow>
                </mfrac>
              </mrow>
            </mfrac>
          </mstyle>
        </mrow>
      </mtd>
    </mtr>
    <mtr>
      <mtd>
        <mtext>Another Ramanujan identity</mtext>
      </mtd>
      <mtd>
        <mstyle displaystyle="true">
          <mrow>
            <munderover>
              <mo>&#x2211;</mo>
              <mrow>
                <mi>k</mi>
                <mo>=</mo>
                <mn>1</mn>
              </mrow>
              <mi>&#x221E;</mi>
            </munderover>
            <mfrac>
              <mn>1</mn>
              <msubsup>
                <mn>2</mn>
                <mrow/>
                <mrow>
                  <mo stretchy="false">&#x230A;</mo>
                  <mi>k</mi>
                  <mo>&#x00B7;</mo>
                  <mtext>&#x200B;</mtext>
                  <mi>&#x03C6;</mi>
                  <mo stretchy="false">&#x230B;</mo>
                </mrow>
              </msubsup>
            </mfrac>
            <mo>=</mo>
            <mstyle scriptlevel="1">
              <mfrac>
                <mn>1</mn>
                <mrow>
                  <msubsup>
                    <mn>2</mn>
                    <mrow/>
                    <mstyle scriptlevel="2">
                      <mn>0</mn>
                    </mstyle>
                  </msubsup>
                  <mo>+</mo>
                  <mfrac>
                    <mn>1</mn>
                    <mrow>
                      <msubsup>
                        <mn>2</mn>
                        <mrow/>
                        <mstyle scriptlevel="2">
                          <mn>1</mn>
                        </mstyle>
                      </msubsup>
                      <mo>+</mo>
                      <maction actiontype="toggle">
                        <mo>&#x22EF;</mo>
                        <mfrac>
                          <mn>1</mn>
                          <mrow>
                            <msubsup>
                              <mn>2</mn>
                              <mrow/>
                              <mstyle scriptlevel="2">
                                <mn>1</mn>
                              </mstyle>
                            </msubsup>
                            <mo>+</mo>
                            <mfrac>
                              <mn>1</mn>
                              <mrow>
                                <msubsup>
                                  <mn>2</mn>
                                  <mrow/>
                                  <mstyle scriptlevel="2">
                                    <mn>2</mn>
                                  </mstyle>
                                </msubsup>
                                <mo>+</mo>
                                <maction actiontype="toggle">
                                  <mo>&#x22EF;</mo>
                                  <mfrac>
                                    <mn>1</mn>
                                    <mrow>
                                      <msubsup>
                                        <mn>2</mn>
                                        <mrow/>
                                        <mstyle scriptlevel="2">
                                          <mn>3</mn>
                                        </mstyle>
                                      </msubsup>
                                      <mo>+</mo>
                                      <mfrac>
                                        <mn>1</mn>
                                        <mrow>
                                          <msubsup>
                                            <mn>2</mn>
                                            <mrow/>
                                            <mstyle scriptlevel="2">
                                              <mn>5</mn>
                                            </mstyle>
                                          </msubsup>
                                          <mo>+</mo>
                                          <mo>&#x2026;</mo>
                                        </mrow>
                                      </mfrac>
                                    </mrow>
                                  </mfrac>
                                </maction>
                              </mrow>
                            </mfrac>
                          </mrow>
                        </mfrac>
                      </maction>
                    </mrow>
                  </mfrac>
                </mrow>
              </mfrac>
            </mstyle>
          </mrow>
        </mstyle>
      </mtd>
    </mtr>
    <mtr>
      <mtd>
        <mtext>Rogers-Ramanujan Identity</mtext>
      </mtd>
      <mtd>
        <mstyle displaystyle="true">
          <mrow>
            <mn>1</mn>
            <mo>+</mo>
            <maction xmlns:dsi="http://www.dessci.com/mathml" actiontype="highlight" dsi:background="#0000ff">
              <maction actiontype="toggle">
                <mrow>
                  <munderover>
                    <mo>&#x2211;</mo>
                    <mrow>
                      <mi>k</mi>
                      <mo>=</mo>
                      <mn>1</mn>
                    </mrow>
                    <mi>&#x221E;</mi>
                  </munderover>
                  <mfrac>
                    <msubsup>
                      <mi>q</mi>
                      <mrow/>
                      <mrow>
                        <msubsup>
                          <mi>k</mi>
                          <mrow/>
                          <mn>2</mn>
                        </msubsup>
                        <mo>+</mo>
                        <mi>k</mi>
                      </mrow>
                    </msubsup>
                    <mrow>
                      <mo stretchy="false">(</mo>
                      <mn>1</mn>
                      <mo>-</mo>
                      <mi>q</mi>
                      <mo stretchy="false">)</mo>
                      <mo stretchy="false">(</mo>
                      <mn>1</mn>
                      <mo>-</mo>
                      <msubsup>
                        <mi>q</mi>
                        <mrow/>
                        <mn>2</mn>
                      </msubsup>
                      <mo stretchy="false">)</mo>
                      <mo>&#x22EF;</mo>
                      <mo stretchy="false">(</mo>
                      <mn>1</mn>
                      <mo>-</mo>
                      <msubsup>
                        <mi>q</mi>
                        <mrow/>
                        <mi>k</mi>
                      </msubsup>
                      <mo stretchy="false">)</mo>
                    </mrow>
                  </mfrac>
                </mrow>
                <mrow>
                  <mfrac>
                    <msubsup>
                      <mi>q</mi>
                      <mrow/>
                      <mn>2</mn>
                    </msubsup>
                    <mrow>
                      <mo stretchy="false">(</mo>
                      <mn>1</mn>
                      <mo>-</mo>
                      <mi>q</mi>
                      <mo stretchy="false">)</mo>
                    </mrow>
                  </mfrac>
                  <mo>+</mo>
                  <mfrac>
                    <msubsup>
                      <mi>q</mi>
                      <mrow/>
                      <mn>6</mn>
                    </msubsup>
                    <mrow>
                      <mo stretchy="false">(</mo>
                      <mn>1</mn>
                      <mo>-</mo>
                      <mi>q</mi>
                      <mo stretchy="false">)</mo>
                      <mo stretchy="false">(</mo>
                      <mn>1</mn>
                      <mo>-</mo>
                      <msubsup>
                        <mi>q</mi>
                        <mrow/>
                        <mn>2</mn>
                      </msubsup>
                      <mo stretchy="false">)</mo>
                    </mrow>
                  </mfrac>
                  <mo>+</mo>
                  <mo>&#x22EF;</mo>
                </mrow>
              </maction>
            </maction>
            <mo>=</mo>
            <maction xmlns:dsi="http://www.dessci.com/mathml" actiontype="highlight" dsi:background="#0000ff">
              <maction actiontype="toggle">
                <mrow>
                  <munderover>
                    <mo>&#x220F;</mo>
                    <mrow>
                      <mi>j</mi>
                      <mo>=</mo>
                      <mn>0</mn>
                    </mrow>
                    <mi>&#x221E;</mi>
                  </munderover>
                  <mfrac>
                    <mn>1</mn>
                    <mrow>
                      <mo stretchy="false">(</mo>
                      <mn>1</mn>
                      <mo>-</mo>
                      <msubsup>
                        <mi>q</mi>
                        <mrow/>
                        <mrow>
                          <mn>5</mn>
                          <mi>j</mi>
                          <mo>+</mo>
                          <mn>2</mn>
                        </mrow>
                      </msubsup>
                      <mo stretchy="false">)</mo>
                      <mo stretchy="false">(</mo>
                      <mn>1</mn>
                      <mo>-</mo>
                      <msubsup>
                        <mi>q</mi>
                        <mrow/>
                        <mrow>
                          <mn>5</mn>
                          <mi>j</mi>
                          <mo>+</mo>
                          <mn>3</mn>
                        </mrow>
                      </msubsup>
                      <mo stretchy="false">)</mo>
                    </mrow>
                  </mfrac>
                </mrow>
                <mrow>
                  <mfrac>
                    <mn>1</mn>
                    <mrow>
                      <mo stretchy="false">(</mo>
                      <mn>1</mn>
                      <mo>-</mo>
                      <msubsup>
                        <mi>q</mi>
                        <mrow/>
                        <mn>2</mn>
                      </msubsup>
                      <mo stretchy="false">)</mo>
                      <mo stretchy="false">(</mo>
                      <mn>1</mn>
                      <mo>-</mo>
                      <msubsup>
                        <mi>q</mi>
                        <mrow/>
                        <mn>3</mn>
                      </msubsup>
                      <mo stretchy="false">)</mo>
                    </mrow>
                  </mfrac>
                  <mo>&#x00D7;</mo>
                  <mfrac>
                    <mn>1</mn>
                    <mrow>
                      <mo stretchy="false">(</mo>
                      <mn>1</mn>
                      <mo>-</mo>
                      <msubsup>
                        <mi>q</mi>
                        <mrow/>
                        <mn>7</mn>
                      </msubsup>
                      <mo stretchy="false">)</mo>
                      <mo stretchy="false">(</mo>
                      <mn>1</mn>
                      <mo>-</mo>
                      <msubsup>
                        <mi>q</mi>
                        <mrow/>
                        <mn>8</mn>
                      </msubsup>
                      <mo stretchy="false">)</mo>
                    </mrow>
                  </mfrac>
                  <mo>&#x00D7;</mo>
                  <mo>&#x22EF;</mo>
                </mrow>
              </maction>
            </maction>
            <mo>,</mo>
            <mtext>&#x205F;&#x0200A;</mtext>
            <mtext>&#x205F;&#x0200A;</mtext>
            <mstyle fontstyle="normal">
              <mrow>
                <mi>f</mi>
                <mi>o</mi>
                <mi>r</mi>
              </mrow>
            </mstyle>
            <mtext>&#x205F;</mtext>
            <mo stretchy="false">|</mo>
            <mi>q</mi>
            <mo stretchy="false">|</mo>
            <mo>&lt;</mo>
            <mn>1</mn>
            <mi>.</mi>
          </mrow>
        </mstyle>
      </mtd>
    </mtr>
    <mtr>
      <mtd>
        <mtext>Commutative Diagram</mtext>
      </mtd>
      <mtd>
        <mtable equalcolumns="false" equalrows="false">
          <mtr>
            <mtd>
              <mi>H</mi>
            </mtd>
            <mtd>
              <mo>&#x2190;</mo>
            </mtd>
            <mtd>
              <mi>K</mi>
            </mtd>
          </mtr>
          <mtr>
            <mtd>
              <mo>&#x2193;</mo>
            </mtd>
            <mtd>
              <mspace height="100px" width="150px"/>
            </mtd>
            <mtd>
              <mo>&#x2191;</mo>
            </mtd>
          </mtr>
          <mtr>
            <mtd>
              <mi>H</mi>
            </mtd>
            <mtd>
              <mo>&#x2192;</mo>
            </mtd>
            <mtd>
              <mi>K</mi>
            </mtd>
          </mtr>
        </mtable>
      </mtd>
    </mtr>
  </mtable>
</math>

Author: Design Science, Inc. (D. Doyle, E. Cannon, E. Tabacman, R.Miner)