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<link rel="stylesheet" type="text/css" href="math.css"/>
<title>CSS Stress Page</title>
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<h1>CSS Stress Page</h1>
<div class="abstract">
This page illustrates how universal math style sheet handles deep nesting patterns.
</div>
<h2>Superscripts, Subscripts</h2>
<div class="example">
$$
2, 2^3, 2^{3^4}, 2^{3^{4^5}},
2^{3^{4^{5^6}}},
2^{3^{4^{5^{6^7}}}},
2^{3^{4^{5^{6^{7^8}}}}},
2^{3^{4^{5^{6^{7^{8^9}}}}}}
$$
$$
A, A_B, A_{B_C}, A_{B_{C_D}},
A_{B_{C_{D_E}}},
A_{B_{C_{D_{E_F}}}},
A_{B_{C_{D_{E_{F_G}}}}}
$$
$$
A, A_B, A_{B^C}, A_{B^{C_D}},
A_{B^{C_{D^E}}},
A_{B^{C_{D^{E_F}}}},
A_{B^{C_{D^{E_{F^G}}}}}
$$
</div>

<h2>Prescripts, subscripts and superscripts</h2>
<div class="example">
$$
A, \inf{B}A_C, \inf{\inf{D}B}A_{C_E},
\inf{\inf{\inf{F}D}B}A_{C_{E_G}},
\inf{\inf{\inf{\inf{H}F}D}B}A_{C_{E_{G_I}}}
$$
$$
A, \inf{B}A^C, \inf{\inf{D}B}A^{C^E},
\inf{\inf{\inf{F}D}B}A^{C^{E^G}},
\inf{\inf{\inf{\inf{H}F}D}B}A^{C^{E^{G^I}}}
$$
$$
A, \sur{B}A^C, \sur{\sur{D}B}A^{C^E},
\sur{\sur{\sur{F}D}B}A^{C^{E^G}},
\sur{\sur{\sur{\sur{H}F}D}B}A^{C^{E^{G^I}}}
$$
$$
A, \sur{B}A_C, \sur{\sur{D}B}A_{C_E},
\sur{\sur{\sur{F}D}B}A_{C_{E_G}},
\sur{\sur{\sur{\sur{H}F}D}B}A_{C_{E_{G_I}}}
$$
$$
A, \inf{B}A_C, \inf{\sur{D}B}A_{C^E},
\inf{\inf{\sur{F}D}B}A_{C_{E^G}},
\inf{\inf{\inf{\sur{H}F}D}B}A_{C_{E_{G^I}}}
$$
$$
A, \sur{B}A^C, \sur{\inf{D}B}A^{C_E},
\sur{\sur{\inf{F}D}B}A^{C^{E_G}},
\sur{\sur{\sur{\inf{H}F}D}B}A^{C^{E^{G_I}}}
$$
</div>
<h2>Stacked indices</h2>
<div class="example">
$$
A, A^B_C,
A^{B^D_E}_{C^F_G},
A^{B^{D^H_I}_{E^J_K}}_{C^{F^L_M}_{G^N_O}},
A^{B^{D^{H^P_Q}_{I^R_S}}_{E^{J^T_U}_{K^V_W}}}_{C^{F^{L^X_Y}_{M^Z_A}}_{G^{N^B_C}_{O^D_E}}}
$$
</div>
<h2>Fractions</h2>
<div class="example">
$$
A + 
\frac{B}{C} +
\frac{B}{C + 
\frac{D}{E}
} +
\frac{B}{C + 
\frac{D}{E + 
\frac{F}{G}
}
}
$$
$$
A + 
\frac{B}{C} +
\frac{B + 
\frac{D}{E}
}{C} +
\frac{B + 
\frac{D +
\frac{F}{G}
}{E}
}{C}
$$
$$
\frac{B}{C} +
\frac{B + 
\frac{D}{E}
}{C} +
\frac{B + 
\frac{D +
\frac{F}{G}
}{E}
}{C}
+
\frac{B}{C + 
\frac{D}{E + 
\frac{F}{G}
}
}

$$

$$
A + 
\frac{B}{C} +
\frac{B + 
\frac{D}{E}
}{C +
\frac{F}{G}
} +
\frac{B + 
\frac{D +
\frac{H}{I}
}{E +
\frac{J}{K}}
}{C +
\frac{F +
\frac{L}{M}}{G +
\frac{N}{O}}}
$$
</div>
<h2>Fractions and indices</h2>
<div class="example">
$$
A^1_2 + 
\frac{B^1_2}{C^1_2} +
\frac{B^2_2 + 
\frac{D^1_2}{E^1_2}
}{C^2_2 +
\frac{F^1_2}{G^1_2}
} +
\frac{B^3_2 + 
\frac{D^2_2 +
\frac{H^1_2}{I^1_2}
}{E^2_2 +
\frac{J^1_2}{K^1_2}}
}{C^3_2 +
\frac{F^2_2 +
\frac{L^1_2}{M^1_2}}{G^2_2 +
\frac{N^1_2}{O^1_2}}}
$$


$$
A, A^{1 + 
\frac{B}{C}},
A^{B^{1 +
\frac{C}{D}}},
A^{B^{C^{1 +
\frac{D}{E}}}},
A^{B^{C^{D^{1 +
\frac{E}{F}}}}}
$$
</div>

<h2>Operator with Under Scripts</h2>
<div class="example">
$$
\ope{U},
\stackrev{\ope{U}}{n &gt; m &gt; k &gt; 0},
\stackrev{\stackrev{\ope{U}}{n &gt; m &gt; k}}{k &gt; 0},
\stackrev{\stackrev{\stackrev{\ope{U}}{n &gt; m}}{m &gt; k}}{k &gt; 0},
\stackrev{\stackrev{\stackrev{\stackrev{\ope{U}}{n &gt; m}}{m &gt; k}}{k &gt; 0}}{n, m, k}
$$
</div>
<h2>Operator with Under and Over Scripts</h2>
<div class="example">

$$
\ope{U},
\stackrev{\stackrel{2s}{\ope{U}}}{k=1},
\stackrev{\stackrel{2s}{\ope{U}}}{m, n=1},
\stackrev{\stackrev{\stackrel{2s}{\ope{U}}}{m=1}}{n=1},
\stackrev{\stackrev{\stackrev{\stackrel{2s}{\ope{U}}}{k=1}}{m=1}}{n=1},
\stackrev{\stackrev{\stackrev{\stackrev{\stackrel{2s}{\ope{U}}}{k=1}}{m=1}}{n=1}}{enough}
$$
</div>
<h2>Under and Over Scripts</h2>
<div class="example">
$$
Base, 
\stackrev{Base}{under},
\stackrel{over}{Base},
\stackrev{\stackrev{\stackrel{over}{Base}}{under I}}{under II},
\stackrev{\stackrev{\stackrev{Base}{under I}}{under II}}{under III},
\stackrev{\stackrel{over}{Base}}{under}
$$
</div>
<h2>Multi Scripts</h2>
<div class="example">
$$
A,
\pre{B}{C}
\stackrev{\stackrel{D}{A}}{E}
^F_G,
\pre{\pre{H}{I}B}{\pre{J}{K}C}
\stackrev{\stackrel{\pre{L}{M}D^P_Q}{A}}{\pre{N}{O}E^R_S}
^{F^T_U}_{G^V_W},
\pre{\pre{H}{I}B}{\pre{J}{K}C}
\stackrev{\stackrel{\pre{L}{M}D^P_Q}{\pre{2}{4}A^3_5}}{\pre{N}{O}E^R_S}
^{F^T_U}_{G^V_W}
$$
</div>
<h2>Over and Under Scripts with Braces</h2>
<div class="example">
$$
\overbrace{Expression}^{over brace}
\underbrace{Expression}_{under brace}
$$
$$
\underbrace{\overbrace{Expression}^{over brace} \overbrace{Expression}^{over brace}}_{under brace}
$$
</div>
<h2>Cases</h2>
<div class="example">
$$
F(x) =
\cases{
\case{sin^4(12x^2)}{if  x &gt; 0}
\case{sin^3(x)}{otherwise}
}
$$

$$
G(x) =
\cases{
\case{1 + x^2}{if  x &gt; 1}
\case{1 + x^4}{if x &lt; 0}
\case{1 + x^3}{otherwise}
}
$$
</div>
<h2>Matrices, Determinants and Vectors</h2>
<div class="example">
$$
\matrix{
\row{A_{11}}{A_{12}}{A_{13}}{A_{14}}
\row{A_{21}}{A_{22}}{A_{23}}{A_{24}}
\row{A_{31}}{A_{32}}{A_{33}}{A_{34}}
\row{A_{41}}{A_{42}}{A_{43}}{A_{44}}
}
\vector{X_1}{X_2}{X_3}{X_4}
=
\vector{B_1}{B_2}{B_3}{B_4}

$$

$$
det
\det{
\row{A + B}{C + D + E}{F}
\row{G}{H + I}{J + K}
\row{L + M + N}{O + P}{Q}
}
$$

$$
\matrix{
\row{\matrix{\row{A}{B}\row{C}{D}}}{0}
\row{\matrix{\row{E}{0}\row{0}{F}\row{G}{0}\row{0}{H}}}{\matrix{\row{0}{\matrix{\row{K}{L}\row{M}{N}}}
\row{\matrix{\row{P}{Q}\row{R}{S}}}{0}}}
}
$$
</div>
<h2>Fences</h2>
<div class="example">
$$
\left(\left{\left[ BRACKETS \right]\right}\right)
$$
$$
\left[BRACKET MARKERS\right]^{Top Marker}_{Bottom One}
$$
</div>

<h2>Radicals</h2>
<div class="example">
$$
\sqrt{A + B}, \sqrt{A + \sqrt{B}}, \sqrt{A + \sqrt{B + \sqrt{C}}}
$$
</div>
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