File: tormath3.xml

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<?xml version='1.0' encoding='iso-8859-1'?>
<!DOCTYPE ramain SYSTEM 'raweb.dtd'>
<!-- Translated from latex by tralics 2.14.1, date: 2011/02/01-->
<ramain creator='Tralics version 2.14.1'>
<p>DOCSTART</p>
<formula type='display'><math mode='display' xmlns='http://www.w3.org/1998/Math/MathML'><mrow><mi>x</mi><mn>6</mn></mrow></math><texmath>x6</texmath></formula>
<div0 id-text='1' id='cid1'><head>simple math</head>
<p><formula type='inline'><math xmlns='http://www.w3.org/1998/Math/MathML'><mo>&sharp;</mo></math><texmath>\sharp </texmath></formula> &#x266F;</p>
<p><formula type='inline'><math xmlns='http://www.w3.org/1998/Math/MathML'><mrow><mo>&inodot;</mo><mi>j</mi><mi>$</mi><mspace width='3.33333pt'/><mspace width='0.166667em'/><mo>_</mo><mo>&amp;</mo><mo>&lbrace;</mo><mo>&rbrace;</mo><mo>%</mo><mspace width='4pt'/><mspace width='-0.166667em'/><mspace width='1.em'/><mspace width='2.em'/><mo>&ctdot;</mo><mo>...</mo><mo>#</mo><mo>&sharp;</mo><mo>&natur;</mo><mo>&flat;</mo></mrow></math><texmath>
\i \j \$ ~\, \_ \&amp; \lbrace  \rbrace  \% \ \! \quad \qquad \dots \ldots \# \sharp \natural \flat </texmath></formula>
=
<formula type='inline'><math xmlns='http://www.w3.org/1998/Math/MathML'><mrow><mspace width='56.9055pt'/><mspace width='3.0pt'/><mspace width='5.0pt'/></mrow></math><texmath>\hspace{56.9055pt} \vspace{569.05511pt} \hspace{3.0pt}\vspace{4.0pt}\hspace*{5.0pt}\vspace*{6.0pt}</texmath></formula>
<formula type='inline'><math xmlns='http://www.w3.org/1998/Math/MathML'><mrow><mspace width='-24.0pt'/><mspace width='-3.0pt'/><mspace width='-5.0pt'/></mrow></math><texmath>\hspace{-24.0pt} \vspace{-24.0pt} \hspace{-3.0pt}\vspace{4.0pt}\hspace*{-5.0pt}\vspace*{-6.0pt}</texmath></formula>
<formula type='inline'><math xmlns='http://www.w3.org/1998/Math/MathML'><mrow><mi>a</mi><mi>b</mi><mi>c</mi><mi>d</mi><mi>e</mi><mi>f</mi><mi>g</mi><mi>h</mi><mi>i</mi><mi>j</mi><mi>k</mi><mi>l</mi><mi>m</mi><mi>n</mi><mi>o</mi><mi>p</mi><mi>q</mi><mi>r</mi><mi>s</mi><mi>t</mi><mi>u</mi><mi>v</mi><mi>w</mi><mi>x</mi><mi>y</mi><mi>z</mi></mrow></math><texmath>abcdefghijklmnopqrstuvwxyz</texmath></formula>
<formula type='inline'><math xmlns='http://www.w3.org/1998/Math/MathML'><mrow><mi>A</mi><mi>B</mi><mi>C</mi><mi>D</mi><mi>E</mi><mi>F</mi><mi>G</mi><mi>H</mi><mi>I</mi><mi>J</mi><mi>K</mi><mi>L</mi><mi>M</mi><mi>N</mi><mi>O</mi><mi>P</mi><mi>Q</mi><mi>R</mi><mi>S</mi><mi>T</mi><mi>U</mi><mi>V</mi><mi>W</mi><mi>X</mi><mi>Y</mi><mi>Z</mi></mrow></math><texmath>ABCDEFGHIJKLMNOPQRSTUVWXYZ</texmath></formula>
<formula type='inline'><math xmlns='http://www.w3.org/1998/Math/MathML'><mrow><mo>&lt;</mo><mo>&gt;</mo><mo>,</mo><mo>?</mo><mo>;</mo><mo>.</mo><mo>/</mo><mo>:</mo><mo>+</mo><mo>=</mo><msubsup><mo>-</mo> <mo>"</mo> <mo>&apos;</mo> </msubsup><mrow><mo>(</mo><mo>)</mo></mrow><mi></mi><mo>!</mo><msup><mo>`</mo> <mo>&apos;</mo> </msup><mo>"</mo></mrow></math><texmath>&lt;&gt;,?;./:+=-_"^{\prime }()!` ^{\prime }"</texmath></formula>
<formula type='inline'><math xmlns='http://www.w3.org/1998/Math/MathML'><mrow><mi>&#x1234;</mi><mi>a</mi><mi></mi></mrow></math><texmath>&#x1234;a</texmath></formula></p>
<p><formula type='inline'><math xmlns='http://www.w3.org/1998/Math/MathML'><mrow><mi>&alpha;</mi><mi>&beta;</mi><mi>&gamma;</mi><mi>&delta;</mi><mi>&straightepsilon;</mi><mi>&varepsilon;</mi><mi>&zeta;</mi><mi>&eta;</mi><mi>&theta;</mi><mi>&iota;</mi><mi>&kappa;</mi><mi>&lambda;</mi><mi>&mu;</mi><mi>&nu;</mi><mi>&xi;</mi><mi>&pi;</mi><mi>&rho;</mi><mi>&sigma;</mi><mi>&tau;</mi><mi>&upsi;</mi><mi>&phiv;</mi><mi>&chi;</mi><mi>&psi;</mi><mi>&omega;</mi><mi>&piv;</mi><mi>&rhov;</mi><mi>&sigmav;</mi><mi>&phi;</mi><mi>&kappav;</mi><mi>&thetav;</mi></mrow></math><texmath>\alpha \beta \gamma \delta \epsilon \varepsilon \zeta \eta \theta \iota \kappa \lambda \mu \nu \xi \pi \rho \sigma \tau \upsilon \phi \chi \psi \omega \varpi \varrho \varsigma \varphi \varkappa \vartheta </texmath></formula>
<formula type='inline'><math xmlns='http://www.w3.org/1998/Math/MathML'><mrow><mi>&Gamma;</mi><mi>&Delta;</mi><mi>&Theta;</mi><mi>&Lambda;</mi><mi>&Xi;</mi><mi>&Sigma;</mi><mi>&Upsi;</mi><mi>&Phi;</mi><mi>&Pi;</mi><mi>&Psi;</mi><mi>&Omega;</mi></mrow></math><texmath>\Gamma \Delta \Theta \Lambda \Xi \Sigma \Upsilon \Phi \Pi \Psi \Omega </texmath></formula></p>
<p><formula type='inline'><math xmlns='http://www.w3.org/1998/Math/MathML'><mrow><mi>&hbar;</mi><mi>&ell;</mi><mi>&wp;</mi><mi>&Re;</mi><mi>&Im;</mi><mi>&part;</mi><mi>&infin;</mi><mi>&emptyset;</mi><mi>&nabla;</mi><mi>&radic;</mi><mi>&top;</mi><mi>&bottom;</mi><mi>&bottom;</mi><mi>&ang;</mi><mi>&triangle;</mi></mrow></math><texmath>\hbar \ell \wp \Re \Im \partial \infty \emptyset \nabla \surd \top \bottom \bot \angle \triangle </texmath></formula></p>
<p><formula type='inline'><math xmlns='http://www.w3.org/1998/Math/MathML'><mrow><mo form='prefix'>arccos</mo><mo form='prefix'>arcsin</mo><mo form='prefix'>arctan</mo><mo form='prefix'>arg</mo><mo form='prefix'>cos</mo><mo form='prefix'>cosh</mo><mo form='prefix'>cot</mo><mo form='prefix'>coth</mo><mo form='prefix'>csc</mo><mo form='prefix'>deg</mo><mo form='prefix'>dim</mo></mrow></math><texmath> \arccos \arcsin \arctan \arg \cos \cosh \cot \coth \csc \deg \dim </texmath></formula>
<formula type='inline'><math xmlns='http://www.w3.org/1998/Math/MathML'><mrow><mo form='prefix'>exp</mo><mo form='prefix'>hom</mo><mo form='prefix'>ker</mo><mo form='prefix'>lg</mo><mo form='prefix'>ln</mo><mo form='prefix'>log</mo><mo form='prefix'>Pr</mo><mo form='prefix'>sec</mo><mo form='prefix'>sin</mo><mo form='prefix'>sinh</mo><mo form='prefix'>tan</mo><mo form='prefix'>tanh</mo><mo movablelimits='true' form='prefix'>det</mo><mo movablelimits='true' form='prefix'>gcd</mo></mrow></math><texmath> \exp \hom \ker \lg \ln \log \Pr \sec \sin \sinh \tan \tanh \det \gcd </texmath></formula>
<formula type='inline'><math xmlns='http://www.w3.org/1998/Math/MathML'><mrow><mo movablelimits='true' form='prefix'>inf</mo><mo movablelimits='true' form='prefix'>inj lim</mo><mo movablelimits='true' form='prefix'>lim</mo><mo movablelimits='true' form='prefix'>lim inf</mo><mo movablelimits='true' form='prefix'>lim sup</mo><mo movablelimits='true' form='prefix'>max</mo><mo movablelimits='true' form='prefix'>min</mo><mo movablelimits='true' form='prefix'>proj lim</mo><mo movablelimits='true' form='prefix'>sup</mo></mrow></math><texmath>\inf \injlim \lim \liminf \limsup \max \min \projlim \sup </texmath></formula></p>
<p><formula type='inline'><math xmlns='http://www.w3.org/1998/Math/MathML'><mrow><mo>&forall;</mo><mo>&exist;</mo></mrow></math><texmath>\forall \exists </texmath></formula></p>
<p><formula type='inline'><math xmlns='http://www.w3.org/1998/Math/MathML'><mrow><mo>&coprod;</mo><mo>&bigvee;</mo><mo>&bigwedge;</mo><mo>&uplus;</mo><mo>&bigcap;</mo><mo>&bigcup;</mo><mo>&int;</mo><mo>&sum;</mo><mo>&prod;</mo><mo>&bigotimes;</mo><mo>&bigoplus;</mo><mo>&bigodot;</mo><mo>&oint;</mo><mo>&bigsqcup;</mo><mo>&int;</mo></mrow></math><texmath>\coprod \bigvee \bigwedge \biguplus \bigcap \bigcup \int \sum \prod \bigotimes \bigoplus \bigodot \oint \bigsqcup \smallint </texmath></formula></p>
<p><formula type='inline'><math xmlns='http://www.w3.org/1998/Math/MathML'><mrow><mo>&triangleleft;</mo><mo>&triangleright;</mo><mo>&bigtriangleup;</mo><mo>&bigtriangledown;</mo><mo>&wedge;</mo><mo>&wedge;</mo><mo>&vee;</mo><mo>&vee;</mo><mo>&cap;</mo><mo>&cup;</mo><mo>&multimap;</mo><mo>&dagger;</mo><mo>&ddagger;</mo><mo>&sqcap;</mo><mo>&sqcup;</mo><mo>&amalg;</mo><mo>&diamond;</mo><mo>&diamond;</mo><mo>&bullet;</mo><mo>&wr;</mo><mo>&div;</mo><mo>&odot;</mo><mo>&osol;</mo><mo>&otimes;</mo><mo>&ominus;</mo><mo>&oplus;</mo><mo>&uplus;</mo><mo>&mp;</mo><mo>&pm;</mo><mo>&SmallCircle;</mo><mo>&bigcirc;</mo><mo>&setminus;</mo><mo>&middot;</mo><mo>&ast;</mo><mo>&times;</mo><mo>&star;</mo></mrow></math><texmath>\triangleleft \triangleright \bigtriangleup \bigtriangledown \wedge \wedge \vee \vee \cap \cup \multimap \dagger \ddagger \sqcap \sqcup \amalg \diamond \Diamond \bullet \wr \div \odot \oslash \otimes \ominus \oplus \uplus \mp \pm \circ \bigcirc \setminus \cdot \ast \times \star </texmath></formula></p>
<p><formula type='inline'><math xmlns='http://www.w3.org/1998/Math/MathML'><mrow><mo>&propto;</mo><mo>&sqsubseteq;</mo><mo>&sqsupseteq;</mo><mo>&subseteq;</mo><mo>&sqsubset;</mo><mo>&parallel;</mo><mo>&mid;</mo><mo>&dashv;</mo><mo>&vdash;</mo><mo>&Vdash;</mo><mo>&models;</mo><mo>&nearrow;</mo><mo>&searrow;</mo><mo>&swarrow;</mo><mo>&nwarrow;</mo><mo>&Leftrightarrow;</mo><mo>&Leftarrow;</mo><mo>&Rightarrow;</mo><mo>&ne;</mo><mo>&ne;</mo><mo>&le;</mo><mo>&le;</mo><mo>&ge;</mo><mo>&ge;</mo><mo>&succ;</mo><mo>&approx;</mo><mo>&succeq;</mo><mo>&preceq;</mo><mo>&prec;</mo><mo>&doteq;</mo><mo>&subset;</mo><mo>&supset;</mo><mo>&supseteq;</mo><mo>&subseteq;</mo><mo>&#x214B;</mo><mo>&ni;</mo><mo>&ni;</mo><mo>&gg;</mo><mo>&ll;</mo><mo>&gl;</mo><mo>&geqslant;</mo><mo>&leqslant;</mo><mo>&not;</mo><mo>&notin;</mo><mo>&leftrightarrow;</mo><mo>&leftarrow;</mo><mo>&leftarrow;</mo><mo>&rightarrow;</mo><mo>&rightarrow;</mo><mo>&mapsto;</mo><mo>&sim;</mo><mo>&simeq;</mo><mo>&perp;</mo><mo>&equiv;</mo><mo>&asympeq;</mo><mo>&smile;</mo><mo>&frown;</mo><mo>&leftharpoonup;</mo><mo>&leftharpoondown;</mo><mo>&rightharpoonup;</mo><mo>&rightharpoondown;</mo><mo>&hookrightarrow;</mo><mo>&hookleftarrow;</mo><mo>&bowtie;</mo><mo>&bowtie;</mo><mo>&Longrightarrow;</mo><mo>&longrightarrow;</mo><mo>&longleftarrow;</mo><mo>&Longleftarrow;</mo><mo>&longmapsto;</mo><mo>&longleftrightarrow;</mo><mo>&Longleftrightarrow;</mo><mo>&Leftrightarrow;</mo></mrow></math><texmath>\propto \sqsubseteq \sqsupseteq \subseteq \sqsubset \parallel \mid \dashv \vdash \Vdash \models \nearrow \searrow \swarrow \nwarrow \Leftrightarrow \Leftarrow \Rightarrow \ne \ne \le \le \ge \ge \succ \approx \succeq \preceq \prec \doteq \subset \supset \supseteq \subseteq \bindnasrepma \ni \ni \gg \ll \gtrless \geqslant \leqslant \lnot \notin \leftrightarrow \leftarrow \leftarrow \rightarrow \rightarrow \mapsto \sim \simeq \perp \equiv \asymp \smile \frown \leftharpoonup \leftharpoondown \rightharpoonup \rightharpoondown \hookrightarrow \hookleftarrow \bowtie \bowtie \Longrightarrow \longrightarrow \longleftarrow \Longleftarrow \longmapsto \longleftrightarrow \Longleftrightarrow \iff </texmath></formula></p>
<p><formula type='inline'><math xmlns='http://www.w3.org/1998/Math/MathML'><mrow><mo>&ctdot;</mo><mo>&ctdot;</mo><mo>&vellip;</mo><mo>&dtdot;</mo><mo>&imath;</mo><mo>&jmath;</mo><mo>&parallel;</mo><mo>&parallel;</mo><mo>&vert;</mo><mo>&uparrow;</mo><mo>&downarrow;</mo><mo>&Uparrow;</mo><mo>&Downarrow;</mo><mo>&Updownarrow;</mo><mo>&updownarrow;</mo><mo>&mho;</mo><mo>&clubsuit;</mo><mo>&diamondsuit;</mo><mo>&heartsuit;</mo><mo>&spadesuit;</mo><mi>&aleph;</mi><mo>&Backslash;</mo><mo>&#x25A1;</mo><mo>&langle;</mo><mo>&rangle;</mo><mo>&rmoustache;</mo><mo>&lmoustache;</mo><mo>&#x3015;</mo><mo>&#x3014;</mo><mo>&rbrace;</mo><mo>&lbrace;</mo><mo>&rceil;</mo><mo>&lceil;</mo><mo>&rfloor;</mo><mo>&lfloor;</mo><mo>&square;</mo><mo>&cong;</mo><mo>&not;</mo><mo>&not;</mo><mo>&Element;</mo><mo>&apos;</mo></mrow></math><texmath> \cdots \hdots \vdots \ddots \imath \jmath \Vert \Vert  \vert \uparrow \downarrow \Uparrow \Downarrow \Updownarrow \updownarrow \mho \clubsuit \diamondsuit \heartsuit \spadesuit \aleph \backslash \Box \langle \rangle \rmoustache \lmoustache \rgroup \lgroup \rbrace \lbrace \rceil \lceil \rfloor \lfloor \square \cong \lnot \lnot \in \prime </texmath></formula></p>
<p><formula type='inline'><math xmlns='http://www.w3.org/1998/Math/MathML'><mrow><mo>&lt;</mo><mo>&gt;</mo><mo>,</mo><mo>.</mo><mo>:</mo><mo>;</mo><mo>*</mo><mo>?</mo><mo>!</mo><mo>(</mo><mo>)</mo><mo>[</mo><mo>]</mo><mo>|</mo><mo>+</mo><mo>-</mo><mo>/</mo><mo>=</mo></mrow></math><texmath> &lt;&gt;,.:;*?!()[]|+-/=</texmath></formula></p>
<p><formula type='inline'><math xmlns='http://www.w3.org/1998/Math/MathML'><mrow><mspace width='5.0pt'/><mspace width='0.222222em'/><mspace width='0.277778em'/><mspace width='0.222222em'/><mspace width='-0.166667em'/><mspace width='1.em'/><mspace width='2.em'/><mspace width='3.33333pt'/></mrow></math><texmath> \hspace{5.0pt}\: \; \: \! \quad \qquad ~</texmath></formula></p>
<p><formula type='inline'><math xmlns='http://www.w3.org/1998/Math/MathML'><mrow><mo>&int;</mo><mo>&int;</mo><mo>&vee;</mo><mo>&ni;</mo><mo>...</mo><mi>&top;</mi><mi>&bottom;</mi><mi>&nabla;</mi><mo>&flat;</mo><mi>&Re;</mi><mi>&infin;</mi><mi>&radic;</mi><mo>&natur;</mo><mi>&Im;</mi><mi>&hbar;</mi><mi>&ell;</mi><mo>&sharp;</mo><mi>&ang;</mi><mi>&emptyset;</mi><mi>&triangle;</mi><mo>&not;</mo><mi>&wp;</mi><mi>&part;</mi></mrow></math><texmath>\smallint \int \vee \ni \ldots \top \bot \nabla \flat \Re \infty \surd \natural \Im \hbar \ell \sharp \angle \emptyset \triangle \lnot \wp \partial </texmath></formula></p>
<p><formula textype='math' type='inline'><math xmlns='http://www.w3.org/1998/Math/MathML'><mrow><mi>&alpha;</mi><mo>=</mo><mi>&beta;</mi></mrow></math><texmath>\alpha =\beta </texmath></formula> and
<formula type='inline'><math xmlns='http://www.w3.org/1998/Math/MathML'><mrow><mi>&gamma;</mi><mo>=</mo><mi>&delta;</mi></mrow></math><texmath>\gamma =\delta </texmath></formula> and <formula type='inline'><math xmlns='http://www.w3.org/1998/Math/MathML'><mrow><mi>&phiv;</mi><mo>=</mo><mi>&psi;</mi></mrow></math><texmath>\phi =\psi </texmath></formula>;
and <formula type='inline'><math xmlns='http://www.w3.org/1998/Math/MathML'><mrow><mn>0</mn><mo>&ne;</mo><mi>&infin;</mi></mrow></math><texmath>0\ne \infty </texmath></formula></p>
</div0>
<div0 id-text='2' id='cid2'><head>Mathaccents</head>
<p><formula type='inline'><math xmlns='http://www.w3.org/1998/Math/MathML'><mrow><mi>H</mi><mi>A</mi><mi>T</mi><mo>:</mo><mover accent='true'><mi>a</mi> <mo>&Hat;</mo></mover><mover accent='true'><mi>b</mi> <mo>&acute;</mo></mover><mover accent='true'><mi>c</mi> <mo>&OverBar;</mo></mover><mover accent='true'><mi>d</mi> <mo>&dot;</mo></mover><mover accent='true'><mi>e</mi> <mo>&breve;</mo></mover><mover accent='true'><mi>f</mi> <mo>&Hacek;</mo></mover><mover accent='true'><mi>g</mi> <mo>&grave;</mo></mover><mover accent='true'><mi>h</mi> <mo>&rightarrow;</mo></mover><mover accent='true'><mi>k</mi> <mo>&die;</mo></mover><mover accent='true'><mi>l</mi> <mo>&tilde;</mo></mover><mi>a</mi><mo>&rightarrow;</mo><mi>b</mi><mo>&longrightarrow;</mo><mi>c</mi></mrow></math><texmath>HAT: \hat{a} \acute{b} \bar{c} \dot{d} \breve{e} \check{f} \grave{g} \vec{h}
\ddot{k} \tilde{l}a\rightarrow b\longrightarrow c</texmath></formula></p>
<p><formula type='inline'><math xmlns='http://www.w3.org/1998/Math/MathML'><mrow><mi>A</mi><mi>C</mi><mi>U</mi><mi>T</mi><mi>E</mi><mo>:</mo><mover accent='true'><mi>x</mi> <mo>&acute;</mo></mover><mover accent='true'><mi>x</mi> <mo>&OverBar;</mo></mover><mover accent='true'><mi>x</mi> <mo>&breve;</mo></mover><mover accent='true'><mi>x</mi> <mo>&Hacek;</mo></mover><mover accent='true'><mi>x</mi> <mo>&#x20DC;</mo></mover><mover accent='true'><mi>x</mi> <mo>&#x20DB;</mo></mover><mover accent='true'><mi>x</mi> <mo>&die;</mo></mover><mover accent='true'><mi>x</mi> <mo>&dot;</mo></mover><mover accent='true'><mi>x</mi> <mo>&grave;</mo></mover><mover accent='true'><mi>x</mi> <mo>&Hat;</mo></mover><mover accent='true'><mi>x</mi> <mo>&#x2DA;</mo></mover><mover accent='true'><mi>x</mi> <mo>&tilde;</mo></mover><mover accent='true'><mi>x</mi> <mo>&rightarrow;</mo></mover><mover accent='true'><mrow><mi>x</mi><mi>y</mi><mi>z</mi></mrow> <mo>&Hat;</mo></mover><mover accent='true'><mrow><mi>x</mi><mi>y</mi><mi>z</mi></mrow> <mo>&tilde;</mo></mover></mrow></math><texmath>ACUTE: \acute{x} \bar{x} \breve{x} \check{x}
\ddddot{x} \dddot{x} \ddot{x} \dot{x}
\grave{x} \hat{x} \mathring{x} \tilde{x}
\vec{x} \widehat{xyz} \widetilde{xyz}</texmath></formula></p>
<p><formula type='inline'><math xmlns='http://www.w3.org/1998/Math/MathML'><mrow><mi>W</mi><mi>I</mi><mi>D</mi><mi>E</mi><mi>T</mi><mi>I</mi><mi>L</mi><mi>D</mi><mi>E</mi><mo>:</mo><mover accent='true'><mrow><mi>a</mi><mi>b</mi><mi>c</mi></mrow> <mo>&tilde;</mo></mover><mover accent='true'><mrow><mi>a</mi><mi>b</mi><mi>c</mi></mrow> <mo>&Hat;</mo></mover><mover accent='true'><mrow><mi>a</mi><mi>b</mi><mi>c</mi></mrow> <mo>&leftarrow;</mo></mover><mover accent='true'><mrow><mi>a</mi><mi>b</mi><mi>c</mi></mrow> <mo>&rightarrow;</mo></mover><mover><mrow><mi>a</mi><mi>b</mi><mi>c</mi></mrow> <mo>&OverBar;</mo></mover><munder><mrow><mi>a</mi><mi>b</mi><mi>c</mi></mrow> <mo>&UnderBar;</mo></munder><mover accent='true'><mrow><mi>a</mi><mi>b</mi><mi>c</mi></mrow> <mo>&OverBrace;</mo></mover><munder accentunder='true'><mrow><mi>a</mi><mi>b</mi><mi>c</mi></mrow> <mo>&UnderBrace;</mo></munder><munder accentunder='true'><mrow><mi>a</mi><mi>b</mi><mi>c</mi></mrow> <mo>&leftarrow;</mo></munder><munder accentunder='true'><mrow><mi>a</mi><mi>b</mi><mi>c</mi></mrow> <mo>&rightarrow;</mo></munder></mrow></math><texmath>WIDETILDE: \widetilde{abc} \widehat{abc} \overleftarrow{abc} \overrightarrow{abc}
\overline{abc} \underline{abc} \overbrace{abc} \underbrace{abc}
\underleftarrow{abc} \underrightarrow{abc}
</texmath></formula></p>
</div0>
<div0 id-text='3' id='cid3'><head>Commands</head>
<p><formula type='inline'><math xmlns='http://www.w3.org/1998/Math/MathML'><mrow><msub><mo movablelimits='true' form='prefix'>min</mo> <mi>x</mi> </msub><mi>f</mi><mrow><mo>(</mo><mi>x</mi><mo>)</mo></mrow><mo>&gt;</mo><msub><mo form='prefix'>dmin</mo> <mi>x</mi> </msub><mi>f</mi><mrow><mo>(</mo><mi>x</mi><mo>)</mo></mrow></mrow></math><texmath>\min _xf(x) &gt;\operatorname{dmin}_xf(x)</texmath></formula>.

<formula type='inline'><math xmlns='http://www.w3.org/1998/Math/MathML'><mrow><msub><mo movablelimits='true' form='prefix'>min</mo> <mi>x</mi> </msub><mi>f</mi><mrow><mo>(</mo><mi>x</mi><mo>)</mo></mrow><mo>&gt;</mo><msub><mo form='prefix'>dmin</mo> <mi>x</mi> </msub><mi>f</mi><mrow><mo>(</mo><mi>x</mi><mo>)</mo></mrow></mrow></math><texmath>\min _xf(x) &gt;\operatornamewithlimits{dmin}_xf(x)</texmath></formula>.</p>
<p><formula type='inline'><math xmlns='http://www.w3.org/1998/Math/MathML'><mrow><mover><mrow><mi>f</mi><mi>o</mi><mi>o</mi></mrow> <mo>&OverBar;</mo></mover><munder><mrow><mi>b</mi><mi>a</mi><mi>r</mi></mrow> <mo>&UnderBar;</mo></munder></mrow></math><texmath>\overline{foo}\underline{bar}</texmath></formula>
<formula type='inline'><math xmlns='http://www.w3.org/1998/Math/MathML'><mover><mo>&longrightarrow;</mo> <mi>j</mi></mover></math><texmath>\stackrel{j}{\longrightarrow } </texmath></formula>
<formula type='inline'><math xmlns='http://www.w3.org/1998/Math/MathML'><mrow><mover><mi>X</mi> <mo>*</mo></mover><munder><mi>X</mi> <mo>*</mo></munder></mrow></math><texmath>\overset{*}{X} \underset{*}{X}</texmath></formula>
<formula type='inline'><math xmlns='http://www.w3.org/1998/Math/MathML'><mover accent='true'><mrow><mi>x</mi><mi>y</mi><mi>z</mi></mrow> <mo>&OverBrace;</mo></mover></math><texmath>\overbrace{xyz} </texmath></formula>
<formula type='inline'><math xmlns='http://www.w3.org/1998/Math/MathML'><munder accentunder='true'><mrow><mi>x</mi><mi>y</mi><mi>z</mi></mrow> <mo>&UnderBrace;</mo></munder></math><texmath>\underbrace{xyz}</texmath></formula>
<formula type='inline'><math xmlns='http://www.w3.org/1998/Math/MathML'><mrow><mfrac><mrow><mi>a</mi><mi>b</mi><mi>c</mi></mrow> <mrow><mi>x</mi><mi>y</mi><mi>z</mi></mrow></mfrac><mstyle scriptlevel='0' displaystyle='true'><mfrac><mrow><mi>a</mi><mi>b</mi><mi>c</mi></mrow> <mrow><mi>x</mi><mi>y</mi><mi>z</mi></mrow></mfrac></mstyle><mstyle scriptlevel='0' displaystyle='false'><mfrac><mrow><mi>a</mi><mi>b</mi><mi>c</mi></mrow> <mrow><mi>x</mi><mi>y</mi><mi>z</mi></mrow></mfrac></mstyle></mrow></math><texmath>\frac{abc}{xyz} \dfrac{abc}{xyz} \tfrac{abc}{xyz}</texmath></formula>
<formula type='inline'><math xmlns='http://www.w3.org/1998/Math/MathML'><mrow><msqrt><mrow><mi>a</mi><mi>b</mi><mi>c</mi></mrow></msqrt><mroot><mrow><mi>a</mi><mi>b</mi><mi>c</mi></mrow> <mi>n</mi></mroot><mroot><mrow><mi>a</mi><mi>b</mi><mi>c</mi></mrow> <mi>n</mi></mroot></mrow></math><texmath>\sqrt{abc} \@root n \of {abc} \@root n  \of {abc}</texmath></formula></p>
<p><formula type='inline'><math xmlns='http://www.w3.org/1998/Math/MathML'><mfenced open='[' close='['><mfrac><mn>1</mn> <msup><mi>a</mi> <mn>2</mn> </msup></mfrac></mfenced></math><texmath>\bigl [\frac{1}{a^2}\bigr [</texmath></formula>
<formula type='inline'><math xmlns='http://www.w3.org/1998/Math/MathML'><mfenced separators='' open='[' close='['><mfrac><mn>1</mn> <msup><mi>b</mi> <mn>2</mn> </msup></mfrac></mfenced></math><texmath>\left[\frac{1}{b^2}\right[</texmath></formula>
<formula type='inline'><math xmlns='http://www.w3.org/1998/Math/MathML'><mrow><mrow><mo>[</mo></mrow><mfrac><mn>1</mn> <msup><mi>x</mi> <mn>2</mn> </msup></mfrac><mrow><mo>[</mo></mrow></mrow></math><texmath>[\frac{1}{x^2}[</texmath></formula></p>
<formula type='display'><math mode='display' xmlns='http://www.w3.org/1998/Math/MathML'><mrow><mfrac><mn>1</mn> <mn>2</mn></mfrac><mfenced open='[' close=']'><mstyle scriptlevel='1' displaystyle='false'><mfrac linethickness='2.0pt'><mrow><mi>a</mi><mi>a</mi><mi>a</mi></mrow> <mrow><mi>b</mi><mi>b</mi><mi>b</mi></mrow></mfrac></mstyle></mfenced><mfenced open='(' close=')'><mstyle scriptlevel='0' displaystyle='true'><mfrac linethickness='0.0pt'><mi>n</mi> <mi>m</mi></mfrac></mstyle></mfenced></mrow></math><texmath>\genfrac{}{}{}{}{1}{2}
\genfrac[]{2.0pt}2{aaa}{bbb}
\genfrac(){0.0pt}0{n}{m}
</texmath></formula>
<p><formula type='inline'><math xmlns='http://www.w3.org/1998/Math/MathML'><mrow><mi>a</mi><mspace width='0.166667em'/><msub><mi>b</mi> <mrow><mi>c</mi><mi>d</mi></mrow> </msub><mi>a</mi><mspace width='0.166667em'/><msub><mi>b</mi> <mstyle scriptlevel='0' displaystyle='false'><mrow><mi>c</mi><mspace width='0.166667em'/><mi>d</mi></mrow></mstyle> </msub></mrow></math><texmath>a\nonscript \,b_{c\nonscript \,d} a\nonscript \,b_{\textstyle c\nonscript \,d} </texmath></formula></p>
<formula type='display'><math mode='display' xmlns='http://www.w3.org/1998/Math/MathML'><mrow><mi>a</mi><mo>=</mo><mfrac><mi>b</mi> <mi>b</mi></mfrac><mo>=</mo><msub><mn>1</mn> <mrow><mi>c</mi><mfrac><mi>d</mi> <mi>d</mi></mfrac></mrow> </msub><mo>=</mo><msup><mn>2</mn> <mrow><mi>c</mi><mfrac><mi>d</mi> <mi>d</mi></mfrac></mrow> </msup></mrow></math><texmath>\mathchoice{a}{b}{c}{d}= \frac{\mathchoice{a}{b}{c}{d}}{\mathchoice{a}{b}{c}{d}} =
1_{\mathchoice{a}{b}{c}{d}\frac{\mathchoice{a}{b}{c}{d}}{\mathchoice{a}{b}{c}{d}}} = 2^ {\mathchoice{a}{b}{c}{d}\frac{\mathchoice{a}{b}{c}{d}}{\mathchoice{a}{b}{c}{d}}}</texmath></formula>
<p rend='center'><formula type='inline'><math xmlns='http://www.w3.org/1998/Math/MathML'><mrow><mi>b</mi><mo>=</mo><mfrac><mi>c</mi> <mi>c</mi></mfrac><mo>=</mo><msub><mn>1</mn> <mrow><mi>c</mi><mfrac><mi>d</mi> <mi>d</mi></mfrac></mrow> </msub><mo>=</mo><msup><mn>2</mn> <mrow><mi>c</mi><mfrac><mi>d</mi> <mi>d</mi></mfrac></mrow> </msup></mrow></math><texmath>\mathchoice{a}{b}{c}{d}= \frac{\mathchoice{a}{b}{c}{d}}{\mathchoice{a}{b}{c}{d}} =
1_{\mathchoice{a}{b}{c}{d}\frac{\mathchoice{a}{b}{c}{d}}{\mathchoice{a}{b}{c}{d}}} = 2^ {\mathchoice{a}{b}{c}{d}\frac{\mathchoice{a}{b}{c}{d}}{\mathchoice{a}{b}{c}{d}}}</texmath></formula></p>
<p><formula type='inline'><math xmlns='http://www.w3.org/1998/Math/MathML'><mrow><mfrac><mn>1</mn> <mn>2</mn></mfrac><mstyle scriptlevel='0' displaystyle='true'><mrow><mi>x</mi><mfrac><mn>1</mn> <mn>2</mn></mfrac></mrow></mstyle><mstyle scriptlevel='0' displaystyle='false'><mrow><mi>x</mi><mfrac><mn>1</mn> <mn>2</mn></mfrac></mrow></mstyle><mstyle scriptlevel='1' displaystyle='false'><mrow><mi>x</mi><mfrac><mn>1</mn> <mn>2</mn></mfrac></mrow></mstyle><mstyle scriptlevel='2' displaystyle='false'><mrow><mi>x</mi><mfrac><mn>1</mn> <mn>2</mn></mfrac></mrow></mstyle><mspace width='2.em'/><mstyle scriptlevel='0' displaystyle='true'><mrow><mi>x</mi><mi>a</mi></mrow></mstyle><mo>+</mo><mstyle scriptlevel='0' displaystyle='false'><mrow><mi>x</mi><mi>a</mi></mrow></mstyle><mo>+</mo><mstyle scriptlevel='1' displaystyle='false'><mrow><mi>x</mi><mi>a</mi></mrow></mstyle><mo>+</mo><mstyle scriptlevel='2' displaystyle='false'><mrow><mi>x</mi><mi>a</mi></mrow></mstyle><mspace width='2.em'/><mfrac><mstyle scriptlevel='0' displaystyle='true'><mrow><mi>x</mi><mi>a</mi></mrow></mstyle> <mstyle scriptlevel='0' displaystyle='false'><mrow><mi>x</mi><mi>b</mi></mrow></mstyle></mfrac><mo>+</mo><mfrac><mstyle scriptlevel='1' displaystyle='false'><mrow><mi>x</mi><mi>a</mi></mrow></mstyle> <mstyle scriptlevel='2' displaystyle='false'><mrow><mi>x</mi><mi>b</mi></mrow></mstyle></mfrac></mrow></math><texmath>{\frac{1}{2}}{x\displaystyle \frac{1}{2}}
{x\textstyle \frac{1}{2}}{x\scriptstyle \frac{1}{2}}{x\scriptscriptstyle \frac{1}{2}} \qquad {x\displaystyle a}+{x\textstyle a}+{x\scriptstyle a}+{x\scriptscriptstyle a}\qquad \frac{x\displaystyle a}{x\textstyle b}+\frac{x\scriptstyle a}{x\scriptscriptstyle b}</texmath></formula></p>
</div0>
<div0 id-text='4' id='cid4'><head>Environments</head>
</div0>
<div0 id-text='5' id='cid5'><head>Other</head>
<formula id-text='1' id='uid1' textype='equation' type='display'><math mode='display' xmlns='http://www.w3.org/1998/Math/MathML'><mtable displaystyle='true'><mtr><mtd columnalign='right'><mrow><msup><mi>x</mi> <mn>2</mn> </msup><mo>+</mo><msup><mi>y</mi> <mn>2</mn> </msup></mrow></mtd><mtd columnalign='left'><mrow><mo>=</mo><mn>1</mn></mrow></mtd><mtd columnalign='right'><mn>1</mn></mtd><mtd columnalign='left'><mrow><mo>=</mo><msup><mi>X</mi> <mn>2</mn> </msup><mo>+</mo><msup><mi>Y</mi> <mn>2</mn> </msup></mrow></mtd></mtr><mtr><mtd columnalign='right'><mi>x</mi></mtd><mtd columnalign='left'><mrow><mo>=</mo><mn>0</mn><mo>.</mo><mn>01</mn></mrow></mtd><mtd columnalign='right'><mrow><mn>0</mn><mo>.</mo><mn>001</mn></mrow></mtd><mtd columnalign='left'><mrow><mo>=</mo><mi>X</mi></mrow></mtd></mtr></mtable></math><texmath>
\begin{aligned}
x^2+y^2&amp;=1 &amp; 1 &amp;=X^2+Y^2\\
x &amp;=0.01&amp; 0.001&amp;=X
\end{aligned} 
</texmath></formula>
<formula id-text='5' id='uid2' textype='multline' type='display'><math mode='display' xmlns='http://www.w3.org/1998/Math/MathML'><mtable displaystyle='true'><mtr><mtd columnalign='left'><mrow><mo form='prefix'>sin</mo><mo>=</mo><mo form='prefix'>cos</mo></mrow></mtd></mtr><mtr><mtd><mi>c</mi></mtd></mtr><mtr><mtd columnalign='right' columnspan='1'><mo form='prefix'>cos</mo></mtd></mtr><mtr><mtd columnalign='left' columnspan='1'><mo form='prefix'>sin</mo></mtd></mtr><mtr><mtd columnalign='right'><mrow><mn>1</mn><mo>+</mo><mn>2</mn></mrow></mtd></mtr></mtable></math><texmath>
\sin =\cos \\
\multicolumn{a}{b}{c}\\
\multicolumn{1}{r}{\cos }\\
\multicolumn{1}{l}{\sin }\\
1+2
</texmath></formula>
<foo>ccaaAbbBaa</foo><formula type='display'><math mode='display' xmlns='http://www.w3.org/1998/Math/MathML'><mrow><mi>&beta;</mi><mi>A</mi><mtext>aaB</mtext><mspace width='4.pt'/><mrow><mi>&alpha;</mi><mi>C</mi></mrow><mi>D</mi></mrow></math><texmath>\beta  A\hbox{aaB $\alpha C$} D</texmath></formula>
<p noindent='true'><foo>AB</foo></p>
<formula type='display'><math mode='display' xmlns='http://www.w3.org/1998/Math/MathML'><mrow><mi>A</mi><mtext>B</mtext><mspace width='4.pt'/><mi>C</mi><mi>D</mi></mrow></math><texmath> A\hbox{B $C$} D</texmath></formula>
<p><formula type='inline'><math xmlns='http://www.w3.org/1998/Math/MathML'><mrow><mi>a</mi><mo>+</mo><mi>b</mi></mrow></math><texmath>a+b</texmath></formula> <formula type='inline'><math xmlns='http://www.w3.org/1998/Math/MathML'><mrow><mi>a</mi><mo>+</mo><mi>b</mi></mrow></math><texmath>a\mathbin +b</texmath></formula></p>
<formula id-text='3' id='uid3' textype='equation' type='display'><math mode='display' xmlns='http://www.w3.org/1998/Math/MathML'><mrow><mn>0</mn><mo>=</mo><mn>1</mn></mrow></math><texmath> 0=1 </texmath></formula>
<formula textype='equation*' type='display'><math mode='display' xmlns='http://www.w3.org/1998/Math/MathML'><mrow><mn>0</mn><mo>=</mo><mn>2</mn></mrow></math><texmath> 0=2 </texmath></formula>
<formula textype='displaymath' type='display'><math mode='display' xmlns='http://www.w3.org/1998/Math/MathML'><mrow><mn>0</mn><mo>=</mo><mn>3</mn></mrow></math><texmath> 0=3 </texmath></formula>
<formula type='display'><math mode='display' xmlns='http://www.w3.org/1998/Math/MathML'><mrow><mn>0</mn><mo>=</mo><mn>4</mn></mrow></math><texmath> 0=4 </texmath></formula>
<formula type='display'><math mode='display' xmlns='http://www.w3.org/1998/Math/MathML'><mrow><mn>0</mn><mo>=</mo><mn>5</mn></mrow></math><texmath> 0 = 5 </texmath></formula>
<formula id-text='4' id='uid4' textype='equation' type='display'><math mode='display' xmlns='http://www.w3.org/1998/Math/MathML'><mtable displaystyle='true'><mtr><mtd columnalign='right'><msup><mrow><mo>(</mo><mi>a</mi><mo>+</mo><mi>b</mi><mo>)</mo></mrow> <mn>4</mn> </msup></mtd><mtd columnalign='left'><mrow><mo>=</mo><msup><mrow><mo>(</mo><mi>a</mi><mo>+</mo><mi>b</mi><mo>)</mo></mrow> <mn>2</mn> </msup><msup><mrow><mo>(</mo><mi>a</mi><mo>+</mo><mi>b</mi><mo>)</mo></mrow> <mn>2</mn> </msup></mrow></mtd></mtr><mtr><mtd/><mtd columnalign='left'><mrow><mo>=</mo><mrow><mo>(</mo><msup><mi>a</mi> <mn>2</mn> </msup><mo>+</mo><mn>2</mn><mi>a</mi><mi>b</mi><mo>+</mo><msup><mi>b</mi> <mn>2</mn> </msup><mo>)</mo></mrow><mrow><mo>(</mo><msup><mi>a</mi> <mn>2</mn> </msup><mo>+</mo><mn>2</mn><mi>a</mi><mi>b</mi><mo>+</mo><msup><mi>b</mi> <mn>2</mn> </msup><mo>)</mo></mrow></mrow></mtd></mtr><mtr><mtd/><mtd columnalign='left'><mrow><mo>=</mo><msup><mi>a</mi> <mn>4</mn> </msup><mo>+</mo><mn>4</mn><msup><mi>a</mi> <mn>3</mn> </msup><mi>b</mi><mo>+</mo><mn>6</mn><msup><mi>a</mi> <mn>2</mn> </msup><msup><mi>b</mi> <mn>2</mn> </msup><mo>+</mo><mn>4</mn><mi>a</mi><msup><mi>b</mi> <mn>3</mn> </msup><mo>+</mo><msup><mi>b</mi> <mn>4</mn> </msup></mrow></mtd></mtr></mtable></math><texmath>
\begin{split}
(a+b)^4 &amp;= (a+b)^ 2 (a+b)^2 \\
&amp;= (a^2+2ab+b^2)(a^2+2ab+b^2) \\
&amp;= a^4+4a^3b+6a^2b^2+4ab^3+b^4 \\
\end{split}
</texmath></formula>
<formula id-text='5' id='uid5' textype='equation' type='display'><math mode='display' xmlns='http://www.w3.org/1998/Math/MathML'><mtable displaystyle='true'><mtr><mtd columnalign='right'><msup><mrow><mo>(</mo><mi>a</mi><mo>+</mo><mi>b</mi><mo>)</mo></mrow> <mn>4</mn> </msup></mtd><mtd columnalign='left'><mrow><mo>=</mo><msup><mrow><mo>(</mo><mi>a</mi><mo>+</mo><mi>b</mi><mo>)</mo></mrow> <mn>2</mn> </msup><msup><mrow><mo>(</mo><mi>a</mi><mo>+</mo><mi>b</mi><mo>)</mo></mrow> <mn>2</mn> </msup></mrow></mtd></mtr><mtr><mtd/><mtd columnalign='left'><mrow><mo>=</mo><mrow><mo>(</mo><msup><mi>a</mi> <mn>2</mn> </msup><mo>+</mo><mn>2</mn><mi>a</mi><mi>b</mi><mo>+</mo><msup><mi>b</mi> <mn>2</mn> </msup><mo>)</mo></mrow><mrow><mo>(</mo><msup><mi>a</mi> <mn>2</mn> </msup><mo>+</mo><mn>2</mn><mi>a</mi><mi>b</mi><mo>+</mo><msup><mi>b</mi> <mn>2</mn> </msup><mo>)</mo></mrow></mrow></mtd></mtr><mtr><mtd/><mtd columnalign='left'><mrow><mo>=</mo><msup><mi>a</mi> <mn>4</mn> </msup><mo>+</mo><mn>4</mn><msup><mi>a</mi> <mn>3</mn> </msup><mi>b</mi><mo>+</mo><mn>6</mn><msup><mi>a</mi> <mn>2</mn> </msup><msup><mi>b</mi> <mn>2</mn> </msup><mo>+</mo><mn>4</mn><mi>a</mi><msup><mi>b</mi> <mn>3</mn> </msup><mo>+</mo><msup><mi>b</mi> <mn>4</mn> </msup></mrow></mtd></mtr></mtable></math><texmath>
\begin{aligned}
(a+b)^4 &amp;= (a+b)^ 2 (a+b)^2 \\
&amp;= (a^2+2ab+b^2)(a^2+2ab+b^2) \\
&amp;= a^4+4a^3b+6a^2b^2+4ab^3+b^4 \\
\end{aligned}
</texmath></formula>
<formula id-text='5' id='uid6' textype='align' type='display'><math mode='display' xmlns='http://www.w3.org/1998/Math/MathML'><mtable displaystyle='true'><mtr><mtd columnalign='right'><mrow><msup><mi>x</mi> <mn>2</mn> </msup><mo>+</mo><msup><mi>y</mi> <mn>2</mn> </msup></mrow></mtd><mtd columnalign='left'><mrow><mo>=</mo><mn>1</mn></mrow></mtd></mtr><mtr><mtd columnalign='right'><mi>x</mi></mtd><mtd columnalign='left'><mrow><mo>=</mo><msqrt><mrow><mn>1</mn><mo>-</mo><msup><mi>y</mi> <mn>2</mn> </msup></mrow></msqrt></mrow></mtd></mtr></mtable></math><texmath>
x^2+y^2&amp;=1\\ x&amp;=\sqrt{1-y^2}
</texmath></formula>
<formula textype='eqnarray*' type='display'><math mode='display' xmlns='http://www.w3.org/1998/Math/MathML'><mtable displaystyle='true'><mtr><mtd columnalign='right'><mi>x</mi></mtd><mtd><mo>&ll;</mo></mtd><mtd columnalign='left'><mrow><msub><mi>y</mi> <mn>1</mn> </msub><mo>+</mo><mo>&ctdot;</mo><mo>+</mo><msub><mi>y</mi> <mi>n</mi> </msub></mrow></mtd></mtr><mtr><mtd/><mtd><mo>&le;</mo></mtd><mtd columnalign='left'><mi>z</mi></mtd></mtr></mtable></math><texmath>
x &amp; \ll &amp; y_{1} + \cdots + y_{n} \\
&amp; \le &amp;z
</texmath></formula>
<formula id-text='5' id='uid7' textype='eqnarray' type='display'><math mode='display' xmlns='http://www.w3.org/1998/Math/MathML'><mtable displaystyle='true'><mtr><mtd columnalign='right'><mi>x</mi></mtd><mtd><mo>=</mo></mtd><mtd columnalign='left'><mrow><mn>17</mn><mi>y</mi></mrow></mtd></mtr><mtr><mtd columnalign='right'><mi>y</mi></mtd><mtd><mo>&gt;</mo></mtd><mtd columnalign='left'><mrow><mi>a</mi><mo>+</mo><mi>b</mi><mo>+</mo><mi>c</mi><mo>+</mo><mi>d</mi><mo>+</mo><mi>e</mi><mo>+</mo><mi>f</mi><mo>+</mo><mi>g</mi><mo>+</mo><mi>h</mi><mo>+</mo><mi>i</mi><mo>+</mo><mi>j</mi><mo>+</mo></mrow></mtd></mtr><mtr><mtd/><mtd/><mtd columnalign='left'><mrow><mi>k</mi><mo>+</mo><mi>l</mi><mo>+</mo><mi>m</mi><mo>+</mo><mi>n</mi><mo>+</mo><mi>o</mi><mo>+</mo><mi>p</mi></mrow></mtd></mtr></mtable></math><texmath>
x &amp; = &amp;17y \\
y &amp; &gt; &amp; a + b + c+d+e+f+g+h+i+j+ \nonumber \\
&amp; &amp; k+l+m+n+o+p
</texmath></formula>
<formula type='display'><math mode='display' xmlns='http://www.w3.org/1998/Math/MathML'><mrow><mi>E</mi><mi>Q</mi><mn>1</mn></mrow></math><texmath>EQ1</texmath></formula>
<p noindent='true'>etc</p>
<formula type='display'><math mode='display' xmlns='http://www.w3.org/1998/Math/MathML'><mrow><mi>E</mi><mi>Q</mi><mn>2</mn></mrow></math><texmath>EQ2</texmath></formula>
<p>etc</p>
<formula type='display'><math mode='display' xmlns='http://www.w3.org/1998/Math/MathML'><mrow><mi>E</mi><mi>Q</mi><mn>3</mn></mrow></math><texmath>EQ3</texmath></formula>
<formula textype='align*' type='display'><math mode='display' xmlns='http://www.w3.org/1998/Math/MathML'><mtable displaystyle='true'><mtr><mtd columnalign='right'><mi>u</mi></mtd><mtd columnalign='left'><mrow><mo>&equiv;</mo><mi>v</mi><mo>+</mo><mn>1</mn><mspace width='3.33333pt'/><mo form='prefix'>mod</mo><mspace width='0.277778em'/><msup><mi>n</mi> <mn>2</mn> </msup></mrow></mtd></mtr><mtr><mtd columnalign='right'><mi>u</mi></mtd><mtd columnalign='left'><mrow><mo>&equiv;</mo><mi>v</mi><mo>+</mo><mn>1</mn><mspace width='0.277778em'/><mo form='prefix'>mod</mo><mspace width='0.277778em'/><msup><mi>n</mi> <mn>2</mn> </msup></mrow></mtd></mtr><mtr><mtd columnalign='right'><mi>u</mi></mtd><mtd columnalign='left'><mrow><mo>=</mo><mi>v</mi><mo>+</mo><mn>1</mn><mspace width='10.0pt'/><mo>(</mo><mo form='prefix'>mod</mo><mspace width='0.277778em'/><msup><mi>n</mi> <mn>2</mn> </msup><mo>)</mo></mrow></mtd></mtr><mtr><mtd columnalign='right'><mi>u</mi></mtd><mtd columnalign='left'><mrow><mo>=</mo><mi>v</mi><mo>+</mo><mn>1</mn><mspace width='10.0pt'/><mo>(</mo><msup><mi>n</mi> <mn>2</mn> </msup><mo>)</mo></mrow></mtd></mtr></mtable></math><texmath>
u&amp; \equiv v+1 \mod {n^2} \\
u&amp; \equiv v+1 \bmod {n^2} \\
u&amp; = v+1 \pmod {n^2} \\
u&amp; = v+1 \hspace{10.0pt}(n^2) \\
</texmath></formula>
<formula type='display'><math mode='display' xmlns='http://www.w3.org/1998/Math/MathML'><mrow><mfrac><mn>1</mn> <mn>2</mn></mfrac><mstyle scriptlevel='0' displaystyle='true'><mfrac><mn>1</mn> <mn>2</mn></mfrac></mstyle><mstyle scriptlevel='0' displaystyle='false'><mfrac><mn>1</mn> <mn>2</mn></mfrac></mstyle><mspace width='2.em'/><msup><mrow/> <mrow><mfrac><mn>1</mn> <mn>2</mn></mfrac><mstyle scriptlevel='0' displaystyle='true'><mfrac><mn>1</mn> <mn>2</mn></mfrac></mstyle><mstyle scriptlevel='0' displaystyle='false'><mfrac><mn>1</mn> <mn>2</mn></mfrac></mstyle></mrow> </msup></mrow></math><texmath>\frac{1}{2} \dfrac{1}{2} \tfrac{1}{2} \qquad {}^{\frac{1}{2} \dfrac{1}{2} \tfrac{1}{2}}</texmath></formula>
<formula type='display'><math mode='display' xmlns='http://www.w3.org/1998/Math/MathML'><mrow><mfrac><mrow><mi>b</mi><mfrac><mrow><mi>c</mi><mo>+</mo><mi>m</mi></mrow> <mn>2</mn></mfrac></mrow> <mi>b</mi></mfrac><mspace width='1.em'/><mstyle scriptlevel='0' displaystyle='false'><mfrac><mrow><mi>c</mi><mfrac><mrow><mi>d</mi><mo>+</mo><mi>m</mi></mrow> <mn>2</mn></mfrac></mrow> <mi>c</mi></mfrac></mstyle><mspace width='1.em'/><mstyle scriptlevel='0' displaystyle='true'><mfrac><mrow><mi>b</mi><mfrac><mrow><mi>c</mi><mo>+</mo><mi>m</mi></mrow> <mn>2</mn></mfrac></mrow> <mi>b</mi></mfrac></mstyle></mrow></math><texmath>\frac{\mathchoice{a}{b}{c}{d}\frac{\mathchoice{a}{b}{c}{d}+m}{2}}{\mathchoice{a}{b}{c}{d}}\quad \tfrac{\mathchoice{a}{b}{c}{d}\frac{\mathchoice{a}{b}{c}{d}+m}{2}}{\mathchoice{a}{b}{c}{d}}\quad \dfrac{\mathchoice{a}{b}{c}{d}\frac{\mathchoice{a}{b}{c}{d}+m}{2}}{\mathchoice{a}{b}{c}{d}}</texmath></formula>
<p><formula type='inline'><math xmlns='http://www.w3.org/1998/Math/MathML'><mover accent='true'><mover accent='true'><mi mathvariant='normal'>o</mi> <mo>&dot;</mo></mover> <mo>&OverBar;</mo></mover></math><texmath>\bar{\dot{\rm o}}</texmath></formula>
a - b &#x2013; c &#x2014; d</p>
<formula type='display'><math mode='display' xmlns='http://www.w3.org/1998/Math/MathML'><mrow><mfenced separators='' open='(' close=')'><mfrac linethickness='0pt'><mfrac><mrow><mi>c</mi><mo>+</mo><mi>m</mi></mrow> <mn>2</mn></mfrac> <mi>b</mi></mfrac></mfenced><mspace width='1.em'/><mfenced open='(' close=')'><mstyle scriptlevel='0' displaystyle='false'><mfrac linethickness='0pt'><mfrac><mrow><mi>d</mi><mo>+</mo><mi>m</mi></mrow> <mn>2</mn></mfrac> <mi>c</mi></mfrac></mstyle></mfenced><mspace width='1.em'/><mfenced open='(' close=')'><mstyle scriptlevel='0' displaystyle='true'><mfrac linethickness='0pt'><mfrac><mrow><mi>c</mi><mo>+</mo><mi>m</mi></mrow> <mn>2</mn></mfrac> <mi>b</mi></mfrac></mstyle></mfenced><mspace width='2.em'/><msup><mrow/> <mrow><mfenced separators='' open='(' close=')'><mfrac linethickness='0pt'><mfrac><mrow><mi>d</mi><mo>+</mo><mi>m</mi></mrow> <mn>2</mn></mfrac> <mi>d</mi></mfrac></mfenced><mspace width='1.em'/><mfenced open='(' close=')'><mstyle scriptlevel='0' displaystyle='false'><mfrac linethickness='0pt'><mfrac><mrow><mi>d</mi><mo>+</mo><mi>m</mi></mrow> <mn>2</mn></mfrac> <mi>c</mi></mfrac></mstyle></mfenced><mspace width='1.em'/><mfenced open='(' close=')'><mstyle scriptlevel='0' displaystyle='true'><mfrac linethickness='0pt'><mfrac><mrow><mi>c</mi><mo>+</mo><mi>m</mi></mrow> <mn>2</mn></mfrac> <mi>b</mi></mfrac></mstyle></mfenced></mrow> </msup></mrow></math><texmath>\binom{\frac{\mathchoice{a}{b}{c}{d}+m}{2}}{\mathchoice{a}{b}{c}{d}}\quad \tbinom{\frac{\mathchoice{a}{b}{c}{d}+m}{2}}{\mathchoice{a}{b}{c}{d}}\quad \dbinom{\frac{\mathchoice{a}{b}{c}{d}+m}{2}}{\mathchoice{a}{b}{c}{d}}\qquad {}^{\binom{\frac{\mathchoice{a}{b}{c}{d}+m}{2}}{\mathchoice{a}{b}{c}{d}}\quad \tbinom{\frac{\mathchoice{a}{b}{c}{d}+m}{2}}{\mathchoice{a}{b}{c}{d}}\quad \dbinom{\frac{\mathchoice{a}{b}{c}{d}+m}{2}}{\mathchoice{a}{b}{c}{d}}}</texmath></formula>
<formula type='display'><math mode='display' xmlns='http://www.w3.org/1998/Math/MathML'><mfrac><mi>a</mi> <mfrac><mi>b</mi> <mi>c</mi></mfrac></mfrac></math><texmath>a\over {b\over c}
</texmath></formula>
<p>y<formula type='inline'><math xmlns='http://www.w3.org/1998/Math/MathML'><mrow><msup><mi>x</mi> <mo>&apos;</mo> </msup><msup><mi>x</mi> <mrow><mo>&apos;</mo><mo>&apos;</mo></mrow> </msup><msup><mi>x</mi> <mrow><mo>&apos;</mo><mo>&apos;</mo><mo>&apos;</mo></mrow> </msup><msup><mi>x</mi> <mrow><mo>&apos;</mo><mo>&apos;</mo><mo>&apos;</mo><mo>&apos;</mo></mrow> </msup><msubsup><mi>u</mi> <mn>2</mn> <mo>&apos;</mo> </msubsup><msubsup><mi>v</mi> <mn>4</mn> <mrow><mo>&apos;</mo><mn>3</mn></mrow> </msubsup></mrow></math><texmath>x^{\prime } x^{\prime \prime } x^{\prime \prime \prime } x^{\prime \prime \prime \prime } u_2^{\prime } v^{\prime 3}_4</texmath></formula></p>
<p><formula type='inline'><math xmlns='http://www.w3.org/1998/Math/MathML'><mrow><msub><mo movablelimits='true' form='prefix'>min</mo> <mi>x</mi> </msub><mi>f</mi><mrow><mo>(</mo><mi>x</mi><mo>)</mo></mrow><mo>&gt;</mo><msub><mo form='prefix'>dmin</mo> <mi>x</mi> </msub><mi>f</mi><mrow><mo>(</mo><mi>x</mi><mo>)</mo></mrow></mrow></math><texmath>\min _xf(x) &gt;\operatorname{dmin}_xf(x)</texmath></formula>.</p>
<p><formula type='inline'><math xmlns='http://www.w3.org/1998/Math/MathML'><mrow><msub><mo movablelimits='true' form='prefix'>min</mo> <mi>x</mi> </msub><mi>f</mi><mrow><mo>(</mo><mi>x</mi><mo>)</mo></mrow><mo>&gt;</mo><msub><mo movablelimits='true' form='prefix'>dmin</mo> <mi>x</mi> </msub><mi>f</mi><mrow><mo>(</mo><mi>x</mi><mo>)</mo></mrow></mrow></math><texmath>\min _xf(x) &gt;\mathmo{dmin}\mathattribute{form}{prefix}\mathattribute{movablelimits}{true}_xf(x)</texmath></formula>.</p>
<formula id-text='8' id='uid8' textype='equation' type='display'><math mode='display' xmlns='http://www.w3.org/1998/Math/MathML'><mtable displaystyle='true'><mtr><mtd columnalign='right'><mrow><mi>&#x1D670;&#x1D68A;</mi><mi>&Ascr;</mi><mi>&#x1D400;&#x1D41A;</mi><mi> Aa </mi><mi>&#x1D434;&#x1D44E;</mi><mi>&Aopf;</mi><mi>&#x1D5A0;&#x1D5BA;</mi><mi>A</mi><mi>a</mi></mrow></mtd><mtd columnalign='left'><mrow><mi>&#x1D671;&#x1D68B;</mi><mi>&Bscr;</mi><mi>&#x1D401;&#x1D41B;</mi><mi> Bb </mi><mi>&#x1D435;&#x1D44F;</mi><mi>&Bopf;</mi><mi>&#x1D5A1;&#x1D5BB;</mi><mi>B</mi><mi>b</mi></mrow></mtd></mtr><mtr><mtd columnalign='right'><mrow><mi>&#x1D672;&#x1D68C;</mi><mi>&Cscr;</mi><mi>&#x1D402;&#x1D41C;</mi><mi> Cc </mi><mi>&#x1D436;&#x1D450;</mi><mi>&Copf;</mi><mi>&#x1D5A2;&#x1D5BC;</mi><mi>C</mi><mi>c</mi></mrow></mtd><mtd columnalign='left'><mrow><mi>&#x1D673;&#x1D68D;</mi><mi>&Dscr;</mi><mi>&#x1D403;&#x1D41D;</mi><mi> Dd </mi><mi>&#x1D437;&#x1D451;</mi><mi>&Dopf;</mi><mi>&#x1D5A3;&#x1D5BD;</mi><mi>D</mi><mi>d</mi></mrow></mtd></mtr><mtr><mtd columnalign='right'><mrow><mi>&#x1D674;&#x1D68E;</mi><mi>&Escr;</mi><mi>&#x1D404;&#x1D41E;</mi><mi> Ee </mi><mi>&#x1D438;&#x1D452;</mi><mi>&Eopf;</mi><mi>&#x1D5A4;&#x1D5BE;</mi><mi>E</mi><mi>e</mi></mrow></mtd><mtd columnalign='left'><mrow><mi>&#x1D675;&#x1D68F;</mi><mi>&Fscr;</mi><mi>&#x1D405;&#x1D41F;</mi><mi> Ff </mi><mi>&#x1D439;&#x1D453;</mi><mi>&Fopf;</mi><mi>&#x1D5A5;&#x1D5BF;</mi><mi>F</mi><mi>f</mi></mrow></mtd></mtr><mtr><mtd columnalign='right'><mrow><mi>&#x1D676;&#x1D690;</mi><mi>&Gscr;</mi><mi>&#x1D406;&#x1D420;</mi><mi> Gg </mi><mi>&#x1D43A;&#x1D454;</mi><mi>&Gopf;</mi><mi>&#x1D5A6;&#x1D5C0;</mi><mi>G</mi><mi>g</mi></mrow></mtd><mtd columnalign='left'><mrow><mi>&#x1D677;&#x1D691;</mi><mi>&Hscr;</mi><mi>&#x1D407;&#x1D421;</mi><mi> Hh </mi><mi>&#x1D43B;&#x210E;</mi><mi>&Hopf;</mi><mi>&#x1D5A7;&#x1D5C1;</mi><mi>H</mi><mi>h</mi></mrow></mtd></mtr><mtr><mtd columnalign='right'><mrow><mi>&#x1D678;&#x1D692;</mi><mi>&Iscr;</mi><mi>&#x1D408;&#x1D422;</mi><mi> Ii </mi><mi>&#x1D43C;&#x1D456;</mi><mi>&Iopf;</mi><mi>&#x1D5A8;&#x1D5C2;</mi><mi>I</mi><mi>i</mi></mrow></mtd><mtd columnalign='left'><mrow><mi>&#x1D679;&#x1D693;</mi><mi>&Jscr;</mi><mi>&#x1D409;&#x1D423;</mi><mi> Jj </mi><mi>&#x1D43D;&#x1D457;</mi><mi>&Jopf;</mi><mi>&#x1D5A9;&#x1D5C3;</mi><mi>J</mi><mi>j</mi></mrow></mtd></mtr><mtr><mtd columnalign='right'><mrow><mi>&#x1D67A;&#x1D694;</mi><mi>&Kscr;</mi><mi>&#x1D40A;&#x1D424;</mi><mi> Kk </mi><mi>&#x1D43E;&#x1D458;</mi><mi>&Kopf;</mi><mi>&#x1D5AA;&#x1D5C4;</mi><mi>K</mi><mi>k</mi></mrow></mtd><mtd columnalign='left'><mrow><mi>&#x1D67B;&#x1D695;</mi><mi>&Lscr;</mi><mi>&#x1D40B;&#x1D425;</mi><mi> Ll </mi><mi>&#x1D43F;&#x1D459;</mi><mi>&Lopf;</mi><mi>&#x1D5AB;&#x1D5C5;</mi><mi>L</mi><mi>l</mi></mrow></mtd></mtr><mtr><mtd columnalign='right'><mrow><mi>&#x1D67C;&#x1D696;</mi><mi>&Mscr;</mi><mi>&#x1D40C;&#x1D426;</mi><mi> Mm </mi><mi>&#x1D440;&#x1D45A;</mi><mi>&Mopf;</mi><mi>&#x1D5AC;&#x1D5C6;</mi><mi>M</mi><mi>m</mi></mrow></mtd><mtd columnalign='left'><mrow><mi>&#x1D67D;&#x1D697;</mi><mi>&Nscr;</mi><mi>&#x1D40D;&#x1D427;</mi><mi> Nn </mi><mi>&#x1D441;&#x1D45B;</mi><mi>&Nopf;</mi><mi>&#x1D5AD;&#x1D5C7;</mi><mi>N</mi><mi>n</mi></mrow></mtd></mtr><mtr><mtd columnalign='right'><mrow><mi>&#x1D67E;&#x1D698;</mi><mi>&Oscr;</mi><mi>&#x1D40E;&#x1D428;</mi><mi> Oo </mi><mi>&#x1D442;&#x1D45C;</mi><mi>&Oopf;</mi><mi>&#x1D5AE;&#x1D5C8;</mi><mi>O</mi><mi>o</mi></mrow></mtd><mtd columnalign='left'><mrow><mi>&#x1D67F;&#x1D699;</mi><mi>&Pscr;</mi><mi>&#x1D40F;&#x1D429;</mi><mi> Pp </mi><mi>&#x1D443;&#x1D45D;</mi><mi>&Popf;</mi><mi>&#x1D5AF;&#x1D5C9;</mi><mi>P</mi><mi>p</mi></mrow></mtd></mtr><mtr><mtd columnalign='right'><mrow><mi>&#x1D680;&#x1D69A;</mi><mi>&Qscr;</mi><mi>&#x1D410;&#x1D42A;</mi><mi> Qq </mi><mi>&#x1D444;&#x1D45E;</mi><mi>&Qopf;</mi><mi>&#x1D5B0;&#x1D5CA;</mi><mi>Q</mi><mi>q</mi></mrow></mtd><mtd columnalign='left'><mrow><mi>&#x1D681;&#x1D69B;</mi><mi>&Rscr;</mi><mi>&#x1D411;&#x1D42B;</mi><mi> Rr </mi><mi>&#x1D445;&#x1D45F;</mi><mi>&Ropf;</mi><mi>&#x1D5B1;&#x1D5CB;</mi><mi>R</mi><mi>r</mi></mrow></mtd></mtr><mtr><mtd columnalign='right'><mrow><mi>&#x1D682;&#x1D69C;</mi><mi>&Sscr;</mi><mi>&#x1D412;&#x1D42C;</mi><mi> Ss </mi><mi>&#x1D446;&#x1D460;</mi><mi>&Sopf;</mi><mi>&#x1D5B2;&#x1D5CC;</mi><mi>S</mi><mi>s</mi></mrow></mtd><mtd columnalign='left'><mrow><mi>&#x1D683;&#x1D69D;</mi><mi>&Tscr;</mi><mi>&#x1D413;&#x1D42D;</mi><mi> Tt </mi><mi>&#x1D447;&#x1D461;</mi><mi>&Topf;</mi><mi>&#x1D5B3;&#x1D5CD;</mi><mi>T</mi><mi>t</mi></mrow></mtd></mtr><mtr><mtd columnalign='right'><mrow><mi>&#x1D684;&#x1D69E;</mi><mi>&Uscr;</mi><mi>&#x1D414;&#x1D42E;</mi><mi> Uu </mi><mi>&#x1D448;&#x1D462;</mi><mi>&Uopf;</mi><mi>&#x1D5B4;&#x1D5CE;</mi><mi>U</mi><mi>u</mi></mrow></mtd><mtd columnalign='left'><mrow><mi>&#x1D685;&#x1D69F;</mi><mi>&Vscr;</mi><mi>&#x1D415;&#x1D42F;</mi><mi> Vv </mi><mi>&#x1D449;&#x1D463;</mi><mi>&Vopf;</mi><mi>&#x1D5B5;&#x1D5CF;</mi><mi>V</mi><mi>v</mi></mrow></mtd></mtr><mtr><mtd columnalign='right'><mrow><mi>&#x1D686;&#x1D6A0;</mi><mi>&Wscr;</mi><mi>&#x1D416;&#x1D430;</mi><mi> Ww </mi><mi>&#x1D44A;&#x1D464;</mi><mi>&Wopf;</mi><mi>&#x1D5B6;&#x1D5D0;</mi><mi>W</mi><mi>w</mi></mrow></mtd><mtd columnalign='left'><mrow><mi>&#x1D687;&#x1D6A1;</mi><mi>&Xscr;</mi><mi>&#x1D417;&#x1D431;</mi><mi> Xx </mi><mi>&#x1D44B;&#x1D465;</mi><mi>&Xopf;</mi><mi>&#x1D5B7;&#x1D5D1;</mi><mi>X</mi><mi>x</mi></mrow></mtd></mtr><mtr><mtd columnalign='right'><mrow><mi>&#x1D688;&#x1D6A2;</mi><mi>&Yscr;</mi><mi>&#x1D418;&#x1D432;</mi><mi> Yy </mi><mi>&#x1D44C;&#x1D466;</mi><mi>&Yopf;</mi><mi>&#x1D5B8;&#x1D5D2;</mi><mi>Y</mi><mi>y</mi></mrow></mtd><mtd columnalign='left'><mrow><mi>&#x1D689;&#x1D6A3;</mi><mi>&Zscr;</mi><mi>&#x1D419;&#x1D433;</mi><mi> Zz </mi><mi>&#x1D44D;&#x1D467;</mi><mi>&Zopf;</mi><mi>&#x1D5B9;&#x1D5D3;</mi><mi>Z</mi><mi>z</mi></mrow></mtd></mtr></mtable></math><texmath>\begin{split}
\mathtt {Aa}\mathcal {A}\mathbf {Aa}\mathrm {Aa}
\mathit {Aa}\mathbb {A}\mathsf {Aa}\mathnormal {Aa} &amp;\mathtt {Bb}\mathcal {B}\mathbf {Bb}\mathrm {Bb}
\mathit {Bb}\mathbb {B}\mathsf {Bb}\mathnormal {Bb}\\
\mathtt {Cc}\mathcal {C}\mathbf {Cc}\mathrm {Cc}
\mathit {Cc}\mathbb {C}\mathsf {Cc}\mathnormal {Cc} &amp;\mathtt {Dd}\mathcal {D}\mathbf {Dd}\mathrm {Dd}
\mathit {Dd}\mathbb {D}\mathsf {Dd}\mathnormal {Dd}\\
\mathtt {Ee}\mathcal {E}\mathbf {Ee}\mathrm {Ee}
\mathit {Ee}\mathbb {E}\mathsf {Ee}\mathnormal {Ee} &amp;\mathtt {Ff}\mathcal {F}\mathbf {Ff}\mathrm {Ff}
\mathit {Ff}\mathbb {F}\mathsf {Ff}\mathnormal {Ff}\\
\mathtt {Gg}\mathcal {G}\mathbf {Gg}\mathrm {Gg}
\mathit {Gg}\mathbb {G}\mathsf {Gg}\mathnormal {Gg} &amp;\mathtt {Hh}\mathcal {H}\mathbf {Hh}\mathrm {Hh}
\mathit {Hh}\mathbb {H}\mathsf {Hh}\mathnormal {Hh}\\
\mathtt {Ii}\mathcal {I}\mathbf {Ii}\mathrm {Ii}
\mathit {Ii}\mathbb {I}\mathsf {Ii}\mathnormal {Ii} &amp;\mathtt {Jj}\mathcal {J}\mathbf {Jj}\mathrm {Jj}
\mathit {Jj}\mathbb {J}\mathsf {Jj}\mathnormal {Jj}\\
\mathtt {Kk}\mathcal {K}\mathbf {Kk}\mathrm {Kk}
\mathit {Kk}\mathbb {K}\mathsf {Kk}\mathnormal {Kk} &amp;\mathtt {Ll}\mathcal {L}\mathbf {Ll}\mathrm {Ll}
\mathit {Ll}\mathbb {L}\mathsf {Ll}\mathnormal {Ll}\\
\mathtt {Mm}\mathcal {M}\mathbf {Mm}\mathrm {Mm}
\mathit {Mm}\mathbb {M}\mathsf {Mm}\mathnormal {Mm} &amp;\mathtt {Nn}\mathcal {N}\mathbf {Nn}\mathrm {Nn}
\mathit {Nn}\mathbb {N}\mathsf {Nn}\mathnormal {Nn}\\
\mathtt {Oo}\mathcal {O}\mathbf {Oo}\mathrm {Oo}
\mathit {Oo}\mathbb {O}\mathsf {Oo}\mathnormal {Oo} &amp;\mathtt {Pp}\mathcal {P}\mathbf {Pp}\mathrm {Pp}
\mathit {Pp}\mathbb {P}\mathsf {Pp}\mathnormal {Pp}\\
\mathtt {Qq}\mathcal {Q}\mathbf {Qq}\mathrm {Qq}
\mathit {Qq}\mathbb {Q}\mathsf {Qq}\mathnormal {Qq} &amp;\mathtt {Rr}\mathcal {R}\mathbf {Rr}\mathrm {Rr}
\mathit {Rr}\mathbb {R}\mathsf {Rr}\mathnormal {Rr}\\
\mathtt {Ss}\mathcal {S}\mathbf {Ss}\mathrm {Ss}
\mathit {Ss}\mathbb {S}\mathsf {Ss}\mathnormal {Ss} &amp;\mathtt {Tt}\mathcal {T}\mathbf {Tt}\mathrm {Tt}
\mathit {Tt}\mathbb {T}\mathsf {Tt}\mathnormal {Tt}\\
\mathtt {Uu}\mathcal {U}\mathbf {Uu}\mathrm {Uu}
\mathit {Uu}\mathbb {U}\mathsf {Uu}\mathnormal {Uu} &amp;\mathtt {Vv}\mathcal {V}\mathbf {Vv}\mathrm {Vv}
\mathit {Vv}\mathbb {V}\mathsf {Vv}\mathnormal {Vv}\\
\mathtt {Ww}\mathcal {W}\mathbf {Ww}\mathrm {Ww}
\mathit {Ww}\mathbb {W}\mathsf {Ww}\mathnormal {Ww} &amp;\mathtt {Xx}\mathcal {X}\mathbf {Xx}\mathrm {Xx}
\mathit {Xx}\mathbb {X}\mathsf {Xx}\mathnormal {Xx}\\
\mathtt {Yy}\mathcal {Y}\mathbf {Yy}\mathrm {Yy}
\mathit {Yy}\mathbb {Y}\mathsf {Yy}\mathnormal {Yy} &amp;\mathtt {Zz}\mathcal {Z}\mathbf {Zz}\mathrm {Zz}
\mathit {Zz}\mathbb {Z}\mathsf {Zz}\mathnormal {Zz}\\
\end{split}
</texmath></formula>
<p><formula type='inline'><math xmlns='http://www.w3.org/1998/Math/MathML'><mi>&Ascr;&Bscr;&Cscr;&Dscr;&Escr;&Fscr;&Gscr;&Hscr;&Iscr;&Jscr;&Kscr;&Lscr;&Mscr;&Nscr;&Oscr;&Pscr;&Qscr;&Rscr;&Sscr;&Tscr;&Uscr;&Vscr;&Wscr;&Xscr;&Yscr;&Zscr;</mi></math><texmath>{\cal ABCDEFGHIJKLMNOPQRSTUVWXYZ}</texmath></formula></p>
<p><formula type='inline'><math xmlns='http://www.w3.org/1998/Math/MathML'><mrow><mi>&#x1D41A;</mi><mi mathvariant='normal'>a</mi><mi>&cscr;</mi><mi mathvariant='normal'>d</mi></mrow></math><texmath> \bf a \mathrm {a \mathcal {c} d}</texmath></formula></p>
<p><formula type='inline'><math xmlns='http://www.w3.org/1998/Math/MathML'><msubsup><mi>a</mi> <mi>b</mi> <mi>c</mi> </msubsup></math><texmath>a^c_b</texmath></formula>
<formula type='inline'><math xmlns='http://www.w3.org/1998/Math/MathML'><msubsup><mi>a</mi> <mi>b</mi> <mi>c</mi> </msubsup></math><texmath>a_b^c</texmath></formula></p>
<p><formula type='inline'><math xmlns='http://www.w3.org/1998/Math/MathML'><mrow><mi>x</mi><mo>&#x25A1;</mo></mrow></math><texmath>x\Box </texmath></formula></p>
<formula type='display'><math mode='display' xmlns='http://www.w3.org/1998/Math/MathML'><mfenced separators='' open='&vert;' close='&vert;'><mtable><mtr><mtd columnalign='left'><mrow><mi>A</mi><mi>A</mi><mi>A</mi><mi>A</mi><mi>A</mi><mi>A</mi><mi>A</mi></mrow></mtd><mtd><mrow><mi>B</mi><mi>B</mi><mi>B</mi><mi>B</mi><mi>B</mi><mi>C</mi><mi>C</mi></mrow></mtd><mtd columnalign='right'><mrow><mi>C</mi><mi>C</mi><mi>C</mi><mi>C</mi><mi>C</mi><mi>C</mi><mi>C</mi></mrow></mtd></mtr><mtr><mtd columnalign='left'><mi>A</mi></mtd><mtd><mi>B</mi></mtd><mtd columnalign='right'><mi>C</mi></mtd></mtr><mtr><mtd columnspan='1'><mi>A</mi></mtd><mtd columnspan='1'><mi>B</mi></mtd><mtd columnspan='1'><mi>C</mi></mtd></mtr><mtr><mtd columnalign='right' columnspan='1'><mi>A</mi></mtd><mtd columnalign='right' columnspan='1'><mi>B</mi></mtd><mtd><mi>C</mi></mtd></mtr><mtr><mtd columnalign='left' columnspan='1'><mi>A</mi></mtd><mtd columnalign='left' columnspan='1'><mi>B</mi></mtd><mtd><mi>C</mi></mtd></mtr><mtr><mtd columnalign='left'><mtable><mtr><mtd><mn>1</mn></mtd><mtd columnalign='left'><mn>22</mn></mtd></mtr><mtr><mtd><mn>3</mn></mtd><mtd columnalign='left'><mn>4</mn></mtd></mtr></mtable></mtd><mtd><mtable><mtr><mtd><mn>1</mn></mtd><mtd><mn>22</mn></mtd></mtr><mtr><mtd><mn>3</mn></mtd><mtd><mn>4</mn></mtd></mtr></mtable></mtd><mtd columnalign='right'><mtable><mtr><mtd><mn>1</mn></mtd><mtd columnalign='right'><mn>22</mn></mtd></mtr><mtr><mtd><mn>3</mn></mtd><mtd columnalign='right'><mn>4</mn></mtd></mtr></mtable></mtd></mtr><mtr><mtd columnspan='2'><mrow><mn>0123456789</mn><mi>a</mi><mi>b</mi><mi>c</mi><mi>d</mi><mi>e</mi><mi>f</mi></mrow></mtd><mtd columnalign='right'><mi>C</mi></mtd></mtr><mtr><mtd columnalign='left'><mi>A</mi></mtd><mtd columnspan='2'><mrow><mn>0123456789</mn><mi>a</mi><mi>b</mi><mi>c</mi><mi>d</mi><mi>e</mi><mi>f</mi></mrow></mtd></mtr><mtr><mtd columnalign='right' columnspan='2'><mrow><mn>0123456789</mn><mi>a</mi><mi>b</mi><mi>c</mi><mi>d</mi><mi>e</mi><mi>f</mi></mrow></mtd><mtd columnalign='right'><mi>C</mi></mtd></mtr><mtr><mtd columnalign='left'><mi>A</mi></mtd><mtd columnalign='left' columnspan='2'><mrow><mn>0123456789</mn><mi>a</mi><mi>b</mi><mi>c</mi><mi>d</mi><mi>e</mi><mi>f</mi></mrow></mtd></mtr><mtr><mtd columnalign='left'><mi>A</mi></mtd><mtd><mi>B</mi></mtd><mtd columnalign='right'><mi>C</mi></mtd></mtr></mtable></mfenced></math><texmath>\left|
\begin{array}{lcr}
AAAAAAA&amp;BBBBBCC&amp;CCCCCCC\\
A&amp;B&amp;C\\
\multicolumn{1}{c}{A}&amp;\multicolumn{1}{c}{B}&amp;\multicolumn{1}{c}{C}\\
\multicolumn{1}{r}{A}&amp;\multicolumn{1}{r}{B}&amp;\multicolumn{r}{c}{C}\\
\multicolumn{1}{l}{A}&amp;\multicolumn{1}{l}{B}&amp;\multicolumn{l}{c}{C}\\
\begin{array}{cl}1&amp;22\\3&amp;4\end{array}&amp;\begin{array}{cc}1&amp;22\\3&amp;4\end{array}&amp;\begin{array}{cr}1&amp;22\\3&amp;4\end{array}\\
\multicolumn{2}{c}{0123456789abcdef}&amp;C\\
A&amp;\multicolumn{2}{c}{0123456789abcdef}\\
\multicolumn{2}{r}{0123456789abcdef}&amp;C\\
A&amp;\multicolumn{2}{l}{0123456789abcdef}\\
A&amp;B&amp;C\\
\end{array}
\right|</texmath></formula>
<formula textype='eqnarray*' type='display'><math mode='display' xmlns='http://www.w3.org/1998/Math/MathML'><mtable displaystyle='true'><mtr><mtd columnalign='right'><mfenced separators='' open='&lbrace;' close=''><mtable><mtr><mtd columnalign='left'><mover accent='true'><mi>x</mi> <mo>&dot;</mo></mover></mtd><mtd><mo>=</mo></mtd><mtd columnalign='left'><mrow><mi>A</mi><mi>x</mi><mo>+</mo><mi>g</mi><mo>(</mo><mi>x</mi><mo>,</mo><mi>u</mi><mo>)</mo></mrow></mtd></mtr><mtr><mtd columnalign='left'><mi>y</mi></mtd><mtd><mo>=</mo></mtd><mtd columnalign='left'><mrow><mi>C</mi><mi>x</mi></mrow></mtd></mtr><mtr><mtd columnalign='left' columnspan='3'><mrow><mi>x</mi><mo>&Element;</mo><msup><mi>&#x1D411;</mi> <mi>n</mi> </msup></mrow></mtd></mtr></mtable></mfenced></mtd></mtr></mtable></math><texmath>
\left\lbrace \begin{array}{lcl}
\dot{x} &amp; = &amp; Ax+g(x,u)\\
y &amp; = &amp; Cx \\
\multicolumn{3}{l}{x\in \mathbf {R}^n}
\end{array}
\right.
</texmath></formula>
<p>a) <formula textype='math' type='inline'><math xmlns='http://www.w3.org/1998/Math/MathML'><mrow><mi>x</mi><mn>1</mn></mrow></math><texmath> x1 </texmath></formula>
b) <formula type='inline'><math xmlns='http://www.w3.org/1998/Math/MathML'><mrow><mi>x</mi><mn>2</mn></mrow></math><texmath> x2 </texmath></formula>
c)</p>
<formula textype='displaymath' type='display'><math mode='display' xmlns='http://www.w3.org/1998/Math/MathML'><mrow><mi>x</mi><mn>3</mn></mrow></math><texmath> x3 </texmath></formula>
<p noindent='true'>d)</p>
<formula type='display'><math mode='display' xmlns='http://www.w3.org/1998/Math/MathML'><mrow><mi>x</mi><mn>4</mn></mrow></math><texmath> x4 </texmath></formula>
<p noindent='true'>e)</p>
<formula id-text='9' id='uid9' textype='equation' type='display'><math mode='display' xmlns='http://www.w3.org/1998/Math/MathML'><mrow><mi>x</mi><mn>5</mn></mrow></math><texmath> x5 </texmath></formula>
<p>text A</p>
<p noindent='true'>text B</p>
<p noindent='true' spacebefore='8.53581pt'>text C</p>
<p rend='center'>line one</p>
<p rend='center'>this is the second line</p>
<p>1<font-super>e</font-super><font-overline>foo</font-overline><font-underline>bar</font-underline>.</p>
<p>1<font-super>e</font-super><font-overline>foo</font-overline><font-underline>bar</font-underline>.
<font-small-caps-shape>Foo</font-small-caps-shape><font-small-caps-shape>Bar</font-small-caps-shape></p>
<formula id-text='10' id='uid10' textype='equation' type='display'><math mode='display' xmlns='http://www.w3.org/1998/Math/MathML'><mtable><mtr><mtd columnalign='left'><mover accent='true'><mi>x</mi> <mo>&dot;</mo></mover></mtd><mtd><mo>=</mo></mtd><mtd columnalign='left'><mrow><mi>A</mi><mi>x</mi><mo>+</mo><mi>g</mi><mo>(</mo><mi>x</mi><mo>,</mo><mi>u</mi><mo>)</mo></mrow></mtd></mtr><mtr><mtd columnalign='left'><mi>y</mi></mtd><mtd><mo>=</mo></mtd><mtd columnalign='left'><mrow><mi>C</mi><mi>x</mi></mrow></mtd></mtr><mtr><mtd columnalign='left' columnspan='3'><mrow><mi>x</mi><mo>&Element;</mo><msup><mi>R</mi> <mi>n</mi> </msup></mrow></mtd></mtr></mtable></math><texmath>
\begin{array}{lcl}
\dot{x} &amp; = &amp; Ax+g(x,u)\\[2mm]
y &amp; = &amp; Cx \\
\multicolumn{3}{l}{x\in R^n}
\end{array}
</texmath></formula>
<table rend='inline'><row top-border='true'><cell halign='left' left-border='true'>a</cell>
<cell right-border='true' halign='left'>b</cell>
<cell halign='right'>c</cell>
<cell right-border='true' halign='right'>d</cell>
<cell halign='center'>e</cell>
<cell right-border='true' halign='center'>f</cell>
</row><row bottom-border='true' spaceafter='8.53581pt'><cell halign='left' left-border='true'>aaa</cell>
<cell right-border='true' halign='left'>bbb</cell>
<cell halign='right'>ccc</cell>
<cell right-border='true' halign='right'>ddd</cell>
<cell halign='center'>eee</cell>
<cell right-border='true' halign='center'>fff</cell>
</row><row><cell halign='left' left-border='true'>A</cell>
<cell halign='left' cols='3'>BCD</cell>
<cell halign='center'>E</cell>
<cell right-border='true' halign='center'>F</cell>
</row><row><cell top-border='true'/>
<cell top-border='true'/>
<cell top-border='true'/>
</row><row><cell/>
<cell/>
<cell/>
<cell/>
<cell/>
<cell top-border='true'/>
</row><row bottom-border='true'><cell halign='left' left-border='true'>aaa</cell>
<cell right-border='true' halign='left'>bbb</cell>
<cell halign='right'>ccc</cell>
<cell right-border='true' halign='right'>ddd</cell>
<cell halign='center'>eee</cell>
<cell right-border='true' halign='center'>fff</cell>
</row></table>
<formula type='display'><math mode='display' xmlns='http://www.w3.org/1998/Math/MathML'><mrow><msup><mo form='prefix'>arccos</mo> <mn>2</mn> </msup><mrow><mo>(</mo><mi>x</mi><mo>)</mo></mrow><mo>,</mo><mspace width='0.166667em'/><msup><mo form='prefix'>arcsin</mo> <mn>2</mn> </msup><mrow><mo>(</mo><mi>x</mi><mo>)</mo></mrow><mo>,</mo><mspace width='0.166667em'/><msup><mo form='prefix'>arctan</mo> <mn>2</mn> </msup><mrow><mo>(</mo><mi>x</mi><mo>)</mo></mrow><mo>,</mo><mspace width='0.166667em'/><msup><mo form='prefix'>arg</mo> <mn>2</mn> </msup><mrow><mo>(</mo><mi>x</mi><mo>)</mo></mrow><mo>,</mo><mspace width='0.166667em'/><msup><mo form='prefix'>cos</mo> <mn>2</mn> </msup><mrow><mo>(</mo><mi>x</mi><mo>)</mo></mrow><mo>,</mo><mspace width='0.166667em'/><msup><mo form='prefix'>cosh</mo> <mn>2</mn> </msup><mrow><mo>(</mo><mi>x</mi><mo>)</mo></mrow><mo>,</mo><mspace width='0.166667em'/><msup><mo form='prefix'>cot</mo> <mn>2</mn> </msup><mrow><mo>(</mo><mi>x</mi><mo>)</mo></mrow></mrow></math><texmath> \arccos ^2 (x),\, \arcsin ^2(x) ,\, \arctan ^2(x) ,\, \arg ^2(x),\,
\cos ^2(x) ,\, \cosh ^2(x) ,\, \cot ^2(x)</texmath></formula>
<formula type='display'><math mode='display' xmlns='http://www.w3.org/1998/Math/MathML'><mrow><msup><mo form='prefix'>coth</mo> <mn>2</mn> </msup><mrow><mo>(</mo><mi>x</mi><mo>)</mo></mrow><mo>,</mo><mspace width='0.166667em'/><msup><mo form='prefix'>csc</mo> <mn>2</mn> </msup><mrow><mo>(</mo><mi>x</mi><mo>)</mo></mrow><mo>,</mo><mspace width='0.166667em'/><msup><mo form='prefix'>deg</mo> <mn>2</mn> </msup><mrow><mo>(</mo><mi>x</mi><mo>)</mo></mrow><mo>,</mo><mspace width='0.166667em'/><msup><mo form='prefix'>dim</mo> <mn>2</mn> </msup><mrow><mo>(</mo><mi>x</mi><mo>)</mo></mrow><mo>,</mo><mspace width='0.166667em'/><msup><mo form='prefix'>exp</mo> <mn>2</mn> </msup><mrow><mo>(</mo><mi>x</mi><mo>)</mo></mrow><mo>,</mo><mspace width='0.166667em'/><msup><mo form='prefix'>hom</mo> <mn>2</mn> </msup><mrow><mo>(</mo><mi>x</mi><mo>)</mo></mrow><mo>,</mo><mspace width='0.166667em'/><msup><mo form='prefix'>ker</mo> <mn>2</mn> </msup><mrow><mo>(</mo><mi>x</mi><mo>)</mo></mrow><mo>,</mo><mspace width='0.166667em'/><msup><mo form='prefix'>lg</mo> <mn>2</mn> </msup><mrow><mo>(</mo><mi>x</mi><mo>)</mo></mrow></mrow></math><texmath> \coth ^2(x) ,\, \csc ^2(x),\, \deg ^2(x),\, \dim ^2(x),\, \exp ^2(x),\,
\hom ^2(x),\, \ker ^2(x) ,\, \lg ^2(x)</texmath></formula>
<formula type='display'><math mode='display' xmlns='http://www.w3.org/1998/Math/MathML'><mrow><msup><mo form='prefix'>ln</mo> <mn>2</mn> </msup><mrow><mo>(</mo><mi>x</mi><mo>)</mo></mrow><mo>,</mo><mspace width='0.166667em'/><msup><mo form='prefix'>log</mo> <mn>2</mn> </msup><mrow><mo>(</mo><mi>x</mi><mo>)</mo></mrow><mo>,</mo><mspace width='0.166667em'/><msup><mo form='prefix'>Pr</mo> <mn>2</mn> </msup><mrow><mo>(</mo><mi>x</mi><mo>)</mo></mrow><mo>,</mo><mspace width='0.166667em'/><msup><mo form='prefix'>sec</mo> <mn>2</mn> </msup><mrow><mo>(</mo><mi>x</mi><mo>)</mo></mrow><mo>,</mo><mspace width='0.166667em'/><msup><mo form='prefix'>sin</mo> <mn>2</mn> </msup><mrow><mo>(</mo><mi>x</mi><mo>)</mo></mrow><mo>,</mo><mspace width='0.166667em'/><msup><mo form='prefix'>sinh</mo> <mn>2</mn> </msup><mrow><mo>(</mo><mi>x</mi><mo>)</mo></mrow><mo>,</mo><mspace width='0.166667em'/><msup><mo form='prefix'>tan</mo> <mn>2</mn> </msup><mrow><mo>(</mo><mi>x</mi><mo>)</mo></mrow><mo>,</mo><mspace width='0.166667em'/><msup><mo form='prefix'>tanh</mo> <mn>2</mn> </msup><mrow><mo>(</mo><mi>x</mi><mo>)</mo></mrow></mrow></math><texmath> \ln ^2(x),\, \log ^2(x),\, \Pr ^2(x),\, \sec ^2(x),\, \sin ^2(x) ,\,
\sinh ^2(x),\, \tan ^2(x),\, \tanh ^2(x)</texmath></formula>
<formula type='display'><math mode='display' xmlns='http://www.w3.org/1998/Math/MathML'><mrow><munder><mo movablelimits='true' form='prefix'>det</mo> <mrow><mi>x</mi><mo>=</mo><mn>1</mn></mrow> </munder><mo>,</mo><mspace width='0.166667em'/><munder><mo movablelimits='true' form='prefix'>gcd</mo> <mrow><mi>x</mi><mo>=</mo><mn>1</mn></mrow> </munder><mo>,</mo><mspace width='0.166667em'/><munder><mo movablelimits='true' form='prefix'>inf</mo> <mrow><mi>x</mi><mo>=</mo><mn>1</mn></mrow> </munder><mo>,</mo><mspace width='0.166667em'/><munder><mo movablelimits='true' form='prefix'>inj lim</mo> <mrow><mi>x</mi><mo>=</mo><mn>1</mn></mrow> </munder><mo>,</mo><mspace width='0.166667em'/><munder><mo movablelimits='true' form='prefix'>lim</mo> <mrow><mi>x</mi><mo>=</mo><mn>1</mn></mrow> </munder><mo>,</mo><mspace width='0.166667em'/><munder><mo movablelimits='true' form='prefix'>lim inf</mo> <mrow><mi>x</mi><mo>=</mo><mn>1</mn></mrow> </munder><mo>,</mo><mspace width='0.166667em'/><munder><mo movablelimits='true' form='prefix'>lim sup</mo> <mrow><mi>x</mi><mo>=</mo><mn>1</mn></mrow> </munder><mo>,</mo><mspace width='0.166667em'/><munder><mo movablelimits='true' form='prefix'>max</mo> <mrow><mi>x</mi><mo>=</mo><mn>1</mn></mrow> </munder><mo>,</mo><mspace width='0.166667em'/><munder><mo movablelimits='true' form='prefix'>min</mo> <mrow><mi>x</mi><mo>=</mo><mn>1</mn></mrow> </munder><mo>,</mo><mspace width='0.166667em'/><munder><mo movablelimits='true' form='prefix'>proj lim</mo> <mrow><mi>x</mi><mo>=</mo><mn>1</mn></mrow> </munder><mo>,</mo><mspace width='0.166667em'/><munder><mo movablelimits='true' form='prefix'>sup</mo> <mrow><mi>x</mi><mo>=</mo><mn>1</mn></mrow> </munder></mrow></math><texmath> \det _{x=1},\, \gcd _{x=1},\, \inf _{x=1},\, \injlim _{x=1},\,
\lim _{x=1},\, \liminf _{x=1},\,\limsup _{x=1},\,
\max _{x=1},\, \min _{x=1},\, \projlim _{x=1},\, \sup _{x=1}
</texmath></formula>
<p><formula type='inline'><math xmlns='http://www.w3.org/1998/Math/MathML'><mrow><mover><mo>&longrightarrow;</mo> <mi>j</mi></mover><mover><mi>X</mi> <mo>*</mo></mover><munder><mi>X</mi> <mo>*</mo></munder><msqrt><mrow><mi>a</mi><mi>b</mi><mi>c</mi></mrow></msqrt><mroot><mrow><mi>a</mi><mi>b</mi><mi>c</mi></mrow> <mi>n</mi></mroot><mroot><mrow><mi>a</mi><mi>b</mi><mi>c</mi></mrow> <mi>n</mi></mroot><mfrac><mrow><mi>a</mi><mi>b</mi><mi>c</mi></mrow> <mrow><mi>x</mi><mi>y</mi><mi>z</mi></mrow></mfrac><mstyle scriptlevel='0' displaystyle='true'><mfrac><mrow><mi>a</mi><mi>b</mi><mi>c</mi></mrow> <mrow><mi>x</mi><mi>y</mi><mi>z</mi></mrow></mfrac></mstyle></mrow></math><texmath>\stackrel{j}{\longrightarrow } \overset{*}{X} \underset{*}{X}
\sqrt{abc} \@root n \of {abc} \@root n  \of {abc}
\frac{abc}{xyz} \dfrac{abc}{xyz}
</texmath></formula></p>
<formula type='display'><math mode='display' xmlns='http://www.w3.org/1998/Math/MathML'><mrow><mfenced separators='' open='(' close=')'><mfrac linethickness='0pt'><mfrac><mrow><mi>n</mi><mo>+</mo><mi>m</mi></mrow> <mn>2</mn></mfrac> <mi>n</mi></mfrac></mfenced><mspace width='1.em'/><mfenced open='(' close=')'><mstyle scriptlevel='0' displaystyle='false'><mfrac linethickness='0pt'><mfrac><mrow><mi>n</mi><mo>+</mo><mi>m</mi></mrow> <mn>2</mn></mfrac> <mi>n</mi></mfrac></mstyle></mfenced><mspace width='1.em'/><mfenced open='(' close=')'><mstyle scriptlevel='0' displaystyle='true'><mfrac linethickness='0pt'><mfrac><mrow><mi>n</mi><mo>+</mo><mi>m</mi></mrow> <mn>2</mn></mfrac> <mi>n</mi></mfrac></mstyle></mfenced><mspace width='2.em'/><msup><mrow/> <mrow><mfenced separators='' open='(' close=')'><mfrac linethickness='0pt'><mfrac><mrow><mi>n</mi><mo>+</mo><mi>m</mi></mrow> <mn>2</mn></mfrac> <mi>n</mi></mfrac></mfenced><mspace width='1.em'/><mfenced open='(' close=')'><mstyle scriptlevel='0' displaystyle='false'><mfrac linethickness='0pt'><mfrac><mrow><mi>n</mi><mo>+</mo><mi>m</mi></mrow> <mn>2</mn></mfrac> <mi>n</mi></mfrac></mstyle></mfenced><mspace width='1.em'/><mfenced open='(' close=')'><mstyle scriptlevel='0' displaystyle='true'><mfrac linethickness='0pt'><mfrac><mrow><mi>n</mi><mo>+</mo><mi>m</mi></mrow> <mn>2</mn></mfrac> <mi>n</mi></mfrac></mstyle></mfenced></mrow> </msup></mrow></math><texmath>\binom{\frac{n+m}{2}}{n} \quad \tbinom{\frac{n+m}{2}}{n} \quad \dbinom{\frac{n+m}{2}}{n}\qquad {}^{\binom{\frac{n+m}{2}}{n} \quad \tbinom{\frac{n+m}{2}}{n} \quad \dbinom{\frac{n+m}{2}}{n}}</texmath></formula>
<p><formula type='inline'><math xmlns='http://www.w3.org/1998/Math/MathML'><mo>&Leftrightarrow;</mo></math><texmath>\Leftrightarrow </texmath></formula></p>
<p>1<font-super>st</font-super> x<font-super>ime</font-super> y<font-sub>some text</font-sub>.</p>
<formula type='display'><math mode='display' xmlns='http://www.w3.org/1998/Math/MathML'><mrow><mfrac><mn>1</mn> <mn>2</mn></mfrac><mfenced open='[' close=']'><mstyle scriptlevel='1' displaystyle='false'><mfrac linethickness='2.0pt'><mrow><mi>a</mi><mi>a</mi><mi>a</mi></mrow> <mrow><mi>b</mi><mi>b</mi><mi>b</mi></mrow></mfrac></mstyle></mfenced><mfenced open='(' close=')'><mstyle scriptlevel='0' displaystyle='true'><mfrac linethickness='0.0pt'><mi>n</mi> <mi>m</mi></mfrac></mstyle></mfenced></mrow></math><texmath>\genfrac{}{}{}{}{1}{2}
\genfrac[]{2.0pt}2{aaa}{bbb}
\genfrac(){0.0pt}0{n}{m}
</texmath></formula>
<p><formula type='inline'><math xmlns='http://www.w3.org/1998/Math/MathML'><mrow><mstyle scriptlevel='0' displaystyle='true'><mfrac><mi>a</mi> <mi>b</mi></mfrac></mstyle><mstyle scriptlevel='0' displaystyle='false'><mfrac><mi>a</mi> <mi>b</mi></mfrac></mstyle><mstyle scriptlevel='1' displaystyle='false'><mfrac><mi>a</mi> <mi>b</mi></mfrac></mstyle><mstyle scriptlevel='2' displaystyle='false'><mfrac><mi>a</mi> <mi>b</mi></mfrac></mstyle></mrow></math><texmath>\genfrac{}{}{}0{a}{b}
\genfrac{}{}{}1{a}{b}
\genfrac{}{}{}2{a}{b}
\genfrac{}{}{}3{a}{b} </texmath></formula></p>
<p><formula type='inline'><math xmlns='http://www.w3.org/1998/Math/MathML'><mrow><mfrac><mi>a</mi> <mi>b</mi></mfrac><mspace width='1.em'/><mfrac linethickness='1pt'><mi>a</mi> <mi>b</mi></mfrac><mspace width='1.em'/><mfrac linethickness='0pt'><mi>a</mi> <mi>b</mi></mfrac></mrow></math><texmath>{a\over b}\quad {a\above 1pt b}\quad {a\atop b}</texmath></formula>
<formula type='inline'><math xmlns='http://www.w3.org/1998/Math/MathML'><mrow><mfenced separators='' open='(' close=')'><mfrac><mi>a</mi> <mi>b</mi></mfrac></mfenced><mspace width='1.em'/><mfenced separators='' open='(' close=')'><mfrac linethickness='1pt'><mi>a</mi> <mi>b</mi></mfrac></mfenced><mspace width='1.em'/><mfenced separators='' open='(' close=')'><mfrac linethickness='0pt'><mi>a</mi> <mi>b</mi></mfrac></mfenced></mrow></math><texmath>{a\overwithdelims () b}\quad {a\abovewithdelims ()1pt b}\quad {a\atopwithdelims () b}</texmath></formula>
<formula type='inline'><math xmlns='http://www.w3.org/1998/Math/MathML'><mfenced separators='' open='(' close=')'><mfrac linethickness='2.0pt'><mrow><mi>f</mi><mi>o</mi><mi>o</mi></mrow> <mrow><mi>b</mi><mi>a</mi><mi>r</mi></mrow></mfrac></mfenced></math><texmath>\genfrac(){2.0pt}{}{foo}{bar}</texmath></formula></p>
<formula type='display'><math mode='display' xmlns='http://www.w3.org/1998/Math/MathML'><mrow><mfrac><mfrac><mrow><mi>n</mi><mo>+</mo><mi>m</mi></mrow> <mn>2</mn></mfrac> <mi>n</mi></mfrac><mspace width='1.em'/><mstyle scriptlevel='0' displaystyle='false'><mfrac><mfrac><mrow><mi>n</mi><mo>+</mo><mi>m</mi></mrow> <mn>2</mn></mfrac> <mi>n</mi></mfrac></mstyle><mspace width='1.em'/><mstyle scriptlevel='0' displaystyle='true'><mfrac><mfrac><mrow><mi>n</mi><mo>+</mo><mi>m</mi></mrow> <mn>2</mn></mfrac> <mi>n</mi></mfrac></mstyle></mrow></math><texmath>\frac{\frac{n+m}{2}}{n} \quad \tfrac{\frac{n+m}{2}}{n} \quad \dfrac{\frac{n+m}{2}}{n}</texmath></formula>
<formula type='display'><math mode='display' xmlns='http://www.w3.org/1998/Math/MathML'><mrow><munder><mo movablelimits='true' form='prefix'>sup</mo> <mrow><mi>x</mi><mo>=</mo><mn>2</mn></mrow> </munder><mi>y</mi><mspace width='3.33333pt'/><mfrac><mn>1</mn> <mi>k</mi></mfrac><msub><mo form='prefix'>log</mo> <mn>2</mn> </msub><mi>c</mi><mrow><mo>(</mo><mi>f</mi><mo>)</mo></mrow><mspace width='0.277778em'/><mstyle scriptlevel='0' displaystyle='false'><mfrac><mn>1</mn> <mi>k</mi></mfrac></mstyle><msub><mo form='prefix'>log</mo> <mn>2</mn> </msub><mi>c</mi><mrow><mo>(</mo><mi>f</mi><mo>)</mo></mrow><mspace width='0.277778em'/><msqrt><mrow><mfrac><mn>1</mn> <mi>k</mi></mfrac><msub><mo form='prefix'>log</mo> <mn>2</mn> </msub><mi>c</mi><mrow><mo>(</mo><mi>f</mi><mo>)</mo></mrow></mrow></msqrt><mspace width='0.277778em'/><msqrt><mrow><mstyle scriptlevel='0' displaystyle='true'><mfrac><mn>1</mn> <mi>k</mi></mfrac></mstyle><msub><mo form='prefix'>log</mo> <mn>2</mn> </msub><mi>c</mi><mrow><mo>(</mo><mi>f</mi><mo>)</mo></mrow></mrow></msqrt></mrow></math><texmath>
\sup _{x=2}y~
\frac{1}{k}\log _2 c(f)\;
\tfrac{1}{k}\log _2 c(f)\;
\sqrt{\frac{1}{k}\log _2 c(f)}\;
\sqrt{\dfrac{1}{k}\log _2 c(f)}
</texmath></formula>
<p><formula type='inline'><math xmlns='http://www.w3.org/1998/Math/MathML'><mfenced open='(' close=')'><mstyle scriptlevel='2' displaystyle='false'><mfrac linethickness='2.84526pt'><mrow><mi>a</mi><mi>a</mi><mi>a</mi><mi>a</mi><mi>a</mi><mi>a</mi><mi>a</mi><mi>a</mi><mi>a</mi><mi>a</mi><mi>a</mi><mi>a</mi><mi>a</mi><mi>a</mi><mi>a</mi><mi>a</mi><mi>a</mi><mi>a</mi></mrow> <mn>111111111</mn></mfrac></mstyle></mfenced></math><texmath>\genfrac(){2.84526pt}3{aaaaaaaaaaaaaaaaaa}{111111111}</texmath></formula>
<formula type='inline'><math xmlns='http://www.w3.org/1998/Math/MathML'><mfenced open='(' close=')'><mstyle scriptlevel='2' displaystyle='false'><mfrac linethickness='0.0pt'><mrow><mi>a</mi><mi>a</mi><mi>a</mi><mi>a</mi><mi>a</mi><mi>a</mi><mi>a</mi><mi>a</mi><mi>a</mi><mi>a</mi><mi>a</mi><mi>a</mi><mi>a</mi><mi>a</mi><mi>a</mi><mi>a</mi><mi>a</mi><mi>a</mi></mrow> <mn>111111111</mn></mfrac></mstyle></mfenced></math><texmath>\genfrac(){0.0pt}3{aaaaaaaaaaaaaaaaaa}{111111111}</texmath></formula>
<formula type='inline'><math xmlns='http://www.w3.org/1998/Math/MathML'><mstyle scriptlevel='0' displaystyle='true'><mfrac><mrow><mi>a</mi><mi>b</mi><mi>c</mi></mrow> <mrow><mi>d</mi><mi>e</mi><mi>f</mi></mrow></mfrac></mstyle></math><texmath>\genfrac{}{}{}0{abc}{def}</texmath></formula>
<formula type='inline'><math xmlns='http://www.w3.org/1998/Math/MathML'><mstyle scriptlevel='0' displaystyle='false'><mfrac><mrow><mi>a</mi><mi>b</mi><mi>c</mi></mrow> <mrow><mi>d</mi><mi>e</mi><mi>f</mi></mrow></mfrac></mstyle></math><texmath>\genfrac{}{}{}1{abc}{def}</texmath></formula>
<formula type='inline'><math xmlns='http://www.w3.org/1998/Math/MathML'><mstyle scriptlevel='1' displaystyle='false'><mfrac><mrow><mi>a</mi><mi>b</mi><mi>c</mi></mrow> <mrow><mi>d</mi><mi>e</mi><mi>f</mi></mrow></mfrac></mstyle></math><texmath>\genfrac{}{}{}2{abc}{def}</texmath></formula>
<formula type='inline'><math xmlns='http://www.w3.org/1998/Math/MathML'><mstyle scriptlevel='2' displaystyle='false'><mfrac><mrow><mi>a</mi><mi>b</mi><mi>c</mi></mrow> <mrow><mi>d</mi><mi>e</mi><mi>f</mi></mrow></mfrac></mstyle></math><texmath>\genfrac{}{}{}3{abc}{def}</texmath></formula></p>
<p><formula type='inline'><math xmlns='http://www.w3.org/1998/Math/MathML'><mrow><mover accent='true'><mi>a</mi> <mo>&tilde;</mo></mover><mo>,</mo><mover accent='true'><mi>z</mi> <mo>&tilde;</mo></mover><mo>,</mo><mover accent='true'><mrow><mi>a</mi><mo>+</mo><mi>b</mi></mrow> <mo>&tilde;</mo></mover></mrow></math><texmath>\tilde{a},\tilde{z}, \tilde{a+b}</texmath></formula></p>
<p><formula type='inline'><math xmlns='http://www.w3.org/1998/Math/MathML'><mrow><mover><mi>&#x1D67F;</mi> <mo>&OverBar;</mo></mover><mi>P</mi></mrow></math><texmath>\overline{\tt P} P</texmath></formula></p>
<p>   &#xE1; &aacute;
<formula type='inline'><math xmlns='http://www.w3.org/1998/Math/MathML'><mrow><mover accent='true'><mi>a</mi> <mo>&Hat;</mo></mover><mover accent='true'><mi>a</mi> <mo>&acute;</mo></mover><mover accent='true'><mi>a</mi> <mo>&OverBar;</mo></mover><mover accent='true'><mi>a</mi> <mo>&dot;</mo></mover><mover accent='true'><mi>a</mi> <mo>&breve;</mo></mover><mover accent='true'><mi>a</mi> <mo>&Hacek;</mo></mover><mover accent='true'><mi>a</mi> <mo>&grave;</mo></mover><mover accent='true'><mi>a</mi> <mo>&rightarrow;</mo></mover><mover accent='true'><mi>a</mi> <mo>&die;</mo></mover><mover accent='true'><mi>a</mi> <mo>&tilde;</mo></mover></mrow></math><texmath>\hat{a} \acute{a} \bar{a} \dot{a} \breve{a}
\check{a} \grave{a} \vec{a} \ddot{a} \tilde{a}
</texmath></formula></p>
<formula type='display'><math mode='display' xmlns='http://www.w3.org/1998/Math/MathML'><mrow><mi>d</mi><mo>=</mo><msup><mi>z</mi> <mn>2</mn> </msup><mo>=</mo><msup><mrow><mo>(</mo><msub><mi>I</mi> <mi>t</mi> </msub><mo>+</mo><mi>&nabla;</mi><mi>I</mi><mover accent='true'><mrow><mi>v</mi><mi>v</mi><mi>v</mi><mi>v</mi></mrow> <mo>&rightarrow;</mo></mover><mo>+</mo><mi>I</mi><mi>d</mi><mi>i</mi><mi>v</mi><mrow><mo>(</mo><mover accent='true'><mrow><mi>v</mi><mi>v</mi><mi>v</mi><mi>v</mi><mi>v</mi></mrow> <mo>&rightarrow;</mo></mover><mo>)</mo></mrow><mo>)</mo></mrow> <mn>2</mn> </msup><mo>,</mo></mrow></math><texmath>d=z^2=( I_t + \nabla I\vec{vvvv} +I div(\vec{vvvvv}) )^2,</texmath></formula>
<p><formula type='inline'><math xmlns='http://www.w3.org/1998/Math/MathML'><mrow><mi>a</mi><mtext>b=1</mtext><mi>c</mi></mrow></math><texmath>a\hbox{b=1} c</texmath></formula>
<formula type='inline'><math xmlns='http://www.w3.org/1998/Math/MathML'><mrow><mi>a</mi><mtext>b</mtext><mspace width='4.pt'/><mtext>1</mtext><mspace width='3.33333pt'/><mi>c</mi></mrow></math><texmath>a\hbox{b~1}~c</texmath></formula></p>
<p><formula type='inline'><math xmlns='http://www.w3.org/1998/Math/MathML'><msup><mi>x</mi> <msubsup><mi>y</mi> <mi>&varepsilon;</mi> <mi>&straightepsilon;</mi> </msubsup> </msup></math><texmath>x^{y^\epsilon _\varepsilon }</texmath></formula></p>
<formula id-text='11' id='uid11' textype='equation' type='display'><math mode='display' xmlns='http://www.w3.org/1998/Math/MathML'><mrow><mover accent='true'><mi>B</mi> <mo>&rightarrow;</mo></mover><mrow><mo>(</mo><mover accent='true'><mi>r</mi> <mo>&rightarrow;</mo></mover><mo>)</mo></mrow><mo>=</mo><mfrac><msub><mi>&mu;</mi> <mn>0</mn> </msub> <mrow><mn>4</mn><mi>&pi;</mi></mrow></mfrac><mfenced separators='' open='&lbrace;' close='&rbrace;'><mfrac><mrow><mn>3</mn><mover accent='true'><mi>m</mi> <mo>&rightarrow;</mo></mover><mrow><mo>(</mo><msup><mrow><mover accent='true'><mi>r</mi> <mo>&rightarrow;</mo></mover></mrow> <mo>&apos;</mo> </msup><mo>)</mo></mrow><mo>&middot;</mo><mrow><mo>(</mo><mover accent='true'><mi>r</mi> <mo>&rightarrow;</mo></mover><mo>-</mo><msup><mrow><mover accent='true'><mi>r</mi> <mo>&rightarrow;</mo></mover></mrow> <mo>&apos;</mo> </msup><mo>)</mo></mrow></mrow> <mrow><mrow><mo>|</mo></mrow><mover accent='true'><mi>r</mi> <mo>&rightarrow;</mo></mover><mo>-</mo><msup><mrow><mover accent='true'><mi>r</mi> <mo>&rightarrow;</mo></mover></mrow> <mo>&apos;</mo> </msup><msup><mrow><mo>|</mo></mrow> <mn>5</mn> </msup></mrow></mfrac><mrow><mo>(</mo><mover accent='true'><mi>r</mi> <mo>&rightarrow;</mo></mover><mo>-</mo><msup><mrow><mover accent='true'><mi>r</mi> <mo>&rightarrow;</mo></mover></mrow> <mo>&apos;</mo> </msup><mo>)</mo></mrow><mo>-</mo><mfrac><mrow><mover accent='true'><mi>m</mi> <mo>&rightarrow;</mo></mover><mrow><mo>(</mo><msup><mrow><mover accent='true'><mi>r</mi> <mo>&rightarrow;</mo></mover></mrow> <mo>&apos;</mo> </msup><mo>)</mo></mrow></mrow> <mrow><mrow><mo>|</mo></mrow><mover accent='true'><mi>r</mi> <mo>&rightarrow;</mo></mover><mo>-</mo><msup><mrow><mover accent='true'><mi>r</mi> <mo>&rightarrow;</mo></mover></mrow> <mo>&apos;</mo> </msup><msup><mrow><mo>|</mo></mrow> <mn>3</mn> </msup></mrow></mfrac></mfenced><mo>.</mo></mrow></math><texmath>
\vec{B}(\vec{r}) = \frac{\mu _0}{4\pi }\left\lbrace 
\frac{3\vec{m}({\vec{r}}^{\prime })\cdot (\vec{r}-{\vec{r}}^{\prime })}{|\vec{r}-{\vec{r}}^{\prime }|^5}
(\vec{r}-{\vec{r}}^{\prime }) - \frac{\vec{m}({\vec{r}}^{\prime })}{|\vec{r}-{\vec{r}}^{\prime }|^3}
\right\rbrace . 
</texmath></formula>
<p><formula type='inline'><math xmlns='http://www.w3.org/1998/Math/MathML'><mrow><mfenced open='&parallel;' close='&parallel;'><mfenced open='&vert;' close='&vert;'><mfenced open='[' close=']'><mfenced open='(' close=')'><mfenced separators='' open='&lbrace;' close='&rbrace;'><mfrac><msubsup><mi>x</mi> <mn>2</mn> <mn>1</mn> </msubsup> <msubsup><mi>y</mi> <mn>4</mn> <mn>3</mn> </msubsup></mfrac></mfenced></mfenced></mfenced></mfenced></mfenced><mfenced open='&vert;' close='&vert;'><mfenced open='&vert;' close='&vert;'><mfenced open='&langle;' close='&rangle;'><mfenced separators='' open='&langle;' close='&rangle;'><mfrac><msubsup><mi>x</mi> <mn>2</mn> <mn>1</mn> </msubsup> <msubsup><mi>y</mi> <mn>4</mn> <mn>3</mn> </msubsup></mfrac></mfenced></mfenced></mfenced></mfenced><mfenced open='&lbrace;' close='&rbrace;'><mfenced open='&lceil;' close='&rceil;'><mfenced separators='' open='&lfloor;' close='&rfloor;'><mfrac><msubsup><mi>x</mi> <mn>2</mn> <mn>1</mn> </msubsup> <msubsup><mi>y</mi> <mn>4</mn> <mn>3</mn> </msubsup></mfrac></mfenced></mfenced></mfenced><mrow><mo>[</mo><mo>]</mo></mrow><mi>a</mi><mspace width='0.55542pt'/><mi>b</mi><mspace width='1.111pt'/><mi>c</mi><mspace width='2.22214pt'/><mi>d</mi><mspace width='4.44443pt'/><mi>e</mi><mspace width='8.88885pt'/><mi>f</mi></mrow></math><texmath>

\left\Vert \left|\left[\left(\left\lbrace  \frac{x^1_2}{y^3_4}\right\rbrace \right)\right]\right|\right\Vert \left|\left|\left&lt;\left\langle \frac{x^1_2}{y^3_4}\right\rangle \right&gt;\right|\right|\left\lbrace \left\lceil \left\lfloor \frac{x^1_2}{y^3_4}\right\rfloor \right\rceil \right\rbrace []a\hspace{0.55542pt}b\hspace{1.111pt}c \hspace{2.22214pt}d \hspace{4.44443pt}e \hspace{8.88885pt}f
</texmath></formula></p>
<p><formula type='inline'><math xmlns='http://www.w3.org/1998/Math/MathML'><mfenced open='&lmoustache;' close='&rmoustache;'><mfenced open='&uparrow;' close='&downarrow;'><mfenced open='&Uparrow;' close='&Downarrow;'><mfenced open='&updownarrow;' close='&Updownarrow;'><mfenced separators='' open='&#x3014;' close='&#x3015;'><mfrac><msubsup><mi>x</mi> <mn>2</mn> <mn>1</mn> </msubsup> <msubsup><mi>y</mi> <mn>4</mn> <mn>3</mn> </msubsup></mfrac></mfenced></mfenced></mfenced></mfenced></mfenced></math><texmath>
\left\moustache \left\uparrow \left\Uparrow \left\updownarrow \left\lgroup \frac{x^1_2}{y^3_4}\right\rgroup \right\Updownarrow \right\Downarrow \right\downarrow \right\moustache </texmath></formula>
<formula type='inline'><math xmlns='http://www.w3.org/1998/Math/MathML'><mrow><mo>&lmoustache;</mo><mo>&uparrow;</mo><mo>&Uparrow;</mo><mo>&updownarrow;</mo><mrow><mo>&#x3014;</mo><mfrac><msubsup><mi>x</mi> <mn>2</mn> <mn>1</mn> </msubsup> <msubsup><mi>y</mi> <mn>4</mn> <mn>3</mn> </msubsup></mfrac><mo>&#x3015;</mo></mrow><mo>&Updownarrow;</mo><mo>&Downarrow;</mo><mo>&downarrow;</mo><mo>&rmoustache;</mo></mrow></math><texmath>
\left \lmoustache \left \uparrow \left \Uparrow \left \updownarrow \left \lgroup \frac{x^1_2}{y^3_4}\right \rgroup \right \Updownarrow \right \Downarrow \right \downarrow \right \rmoustache </texmath></formula>
<formula type='inline'><math xmlns='http://www.w3.org/1998/Math/MathML'><mfenced open='&lmoustache;' close='&rmoustache;'><mfenced open='&uparrow;' close='&downarrow;'><mfenced open='&Uparrow;' close='&Downarrow;'><mfenced open='&updownarrow;' close='&Updownarrow;'><mfenced separators='' open='&#x3014;' close='&#x3015;'><msubsup><mo>&int;</mo> <mn>0</mn> <mfrac><msubsup><mi>x</mi> <mn>2</mn> <mn>1</mn> </msubsup> <msubsup><mi>y</mi> <mn>4</mn> <mn>3</mn> </msubsup></mfrac> </msubsup></mfenced></mfenced></mfenced></mfenced></mfenced></math><texmath> 
\left\moustache \left\uparrow \left\Uparrow \left\updownarrow \left\lgroup \int _0^{\frac{x^1_2}{y^3_4}}\right\rgroup \right\Updownarrow \right\Downarrow \right\downarrow \right\moustache </texmath></formula></p>
<p><formula type='inline'><math xmlns='http://www.w3.org/1998/Math/MathML'><mo>&Longrightarrow;</mo></math><texmath>\Longrightarrow </texmath></formula>

<formula type='inline'><math xmlns='http://www.w3.org/1998/Math/MathML'><msub><mi>&Xscr;</mi> <mi>&yscr;</mi> </msub></math><texmath>\cal X_y</texmath></formula>and <formula type='inline'><math xmlns='http://www.w3.org/1998/Math/MathML'><mrow><msub><mi>&Xscr;</mi> <mi>&yscr;</mi> </msub><mi>&Zscr;</mi></mrow></math><texmath>\cal X_yZ</texmath></formula>
<formula type='inline'><math xmlns='http://www.w3.org/1998/Math/MathML'><mrow><mo form='prefix'>sin</mo><mrow><mo>(</mo><mi>x</mi><mo>)</mo></mrow><mo>+</mo><msup><mo form='prefix'>cos</mo> <mn>2</mn> </msup><mrow><mo>(</mo><mi>x</mi><mo>)</mo></mrow></mrow></math><texmath>\sin (x) + \cos ^2(x) </texmath></formula> and <formula type='inline'><math xmlns='http://www.w3.org/1998/Math/MathML'><msup><mover accent='true'><mrow><mi>x</mi><mi>y</mi><mi>z</mi></mrow> <mo>&OverBrace;</mo></mover> <mi>t</mi> </msup></math><texmath>\overbrace{xyz} ^t </texmath></formula></p>
<p><formula type='inline'><math xmlns='http://www.w3.org/1998/Math/MathML'><mfenced open='[' close='['><mfrac><mn>1</mn> <msup><mi>a</mi> <mn>2</mn> </msup></mfrac></mfenced></math><texmath>\bigl [\frac{1}{a^2}\bigr [</texmath></formula>
<formula type='inline'><math xmlns='http://www.w3.org/1998/Math/MathML'><mfenced separators='' open='[' close='['><mfrac><mn>1</mn> <msup><mi>b</mi> <mn>2</mn> </msup></mfrac></mfenced></math><texmath>\left[\frac{1}{b^2}\right[</texmath></formula>
<formula type='inline'><math xmlns='http://www.w3.org/1998/Math/MathML'><mrow><mrow><mo>[</mo></mrow><mfrac><mn>1</mn> <msup><mi>x</mi> <mn>2</mn> </msup></mfrac><mrow><mo>[</mo></mrow></mrow></math><texmath>[\frac{1}{x^2}[</texmath></formula></p>
<p noindent='true'><formula type='inline'><math xmlns='http://www.w3.org/1998/Math/MathML'><mrow><mo>&int;</mo><mi>f</mi><mo>)</mo><mi>a</mi><mo>+</mo><mi>b</mi><mo>(</mo><mo>=</mo><mi>c</mi><mo>+</mo><mi>d</mi></mrow></math><texmath>\int f\mathopen )a+b\mathclose (=c+d</texmath></formula>
<formula type='inline'><math xmlns='http://www.w3.org/1998/Math/MathML'><mrow><mo>&int;</mo><mi>f</mi><mo>(</mo><mi>a</mi><mo>+</mo><mi>b</mi><mo>)</mo><mo>=</mo><mi>c</mi><mo>+</mo><mi>d</mi></mrow></math><texmath>\int f(a+b)=c+d</texmath></formula></p>
<p><formula type='inline'><math xmlns='http://www.w3.org/1998/Math/MathML'><mrow><mi>a</mi><mi>b</mi></mrow></math><texmath>a\limits \displaylimits \nolimits b</texmath></formula></p>
<p>wwwwwwwwwwwwa...b...cde f$g%h&amp;ijk{l}m&#x131;n&#x266F;o&#x266E;p&#x266D;q_</p>
<p noindent='true'><formula type='inline'><math xmlns='http://www.w3.org/1998/Math/MathML'><mrow><mi>a</mi><mo>&ctdot;</mo><mi>b</mi><mo>...</mo><mi>c</mi><mspace width='1.em'/><mi>d</mi><mspace width='2.em'/><mi>e</mi><mi>f</mi><mi>$</mi><mi>g</mi><mo>%</mo><mi>h</mi><mo>&amp;</mo><mi>i</mi><mspace width='-0.166667em'/><mi>j</mi><mspace width='0.166667em'/><mi>k</mi><mo>&lbrace;</mo><mi>l</mi><mo>&rbrace;</mo><mi>m</mi><mo>&inodot;</mo><mi>n</mi><mo>&sharp;</mo><mi>o</mi><mo>&natur;</mo><mi>p</mi><mo>&flat;</mo><mi>q</mi><mo>_</mo></mrow></math><texmath>a\dots b\ldots c\quad d\qquad e f\$g\%h\&amp;i\!j\,k\lbrace l\rbrace m\i n\sharp o\natural p\flat q\_</texmath></formula></p>
<p>Math spacing</p>
<p noindent='true'><formula type='inline'><math xmlns='http://www.w3.org/1998/Math/MathML'><mrow><mi>x</mi><mi>x</mi><mi>x</mi><mi>x</mi><mi>x</mi></mrow></math><texmath>xxxxx</texmath></formula></p>
<p noindent='true'><formula type='inline'><math xmlns='http://www.w3.org/1998/Math/MathML'><mrow><mi>x</mi><mspace width='0.166667em'/><mi>x</mi><mspace width='0.222222em'/><mi>x</mi><mspace width='0.277778em'/><mi>x</mi><mspace width='-0.166667em'/><mi>x</mi></mrow></math><texmath>x\,x\:x\;x\!x</texmath></formula></p>
<p noindent='true'><formula type='inline'><math xmlns='http://www.w3.org/1998/Math/MathML'><mrow><mi>a</mi><mspace width='0.166667em'/><mspace width='0.166667em'/><mspace width='0.166667em'/><mspace width='0.166667em'/><mspace width='0.166667em'/><mi>a</mi><mspace width='0.222222em'/><mspace width='0.222222em'/><mspace width='0.222222em'/><mspace width='0.222222em'/><mspace width='0.222222em'/><mi>a</mi></mrow></math><texmath>a\,\,\,\,\,a\:\:\:\:\:a</texmath></formula></p>
<p noindent='true'><formula type='inline'><math xmlns='http://www.w3.org/1998/Math/MathML'><mrow><mi>a</mi><mspace width='0.277778em'/><mspace width='0.277778em'/><mspace width='0.277778em'/><mi>a</mi><mspace width='0.277778em'/><mspace width='0.277778em'/><mspace width='0.277778em'/><mspace width='0.277778em'/><mi>a</mi></mrow></math><texmath>a\;\;\;a\;\;\;\;a</texmath></formula></p>
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\mathop {\mathop {arg\,min}\nolimits _\Psi }\limits _{\theta \in \Theta }
\Delta \left( {\mathop \Phi \nolimits _\theta \left( {\Omega _s }
\right)-\Omega _t } \right)
\qquad x_{y_z} = {x_y}_z=
x^{y_z} = {x^y}_z=
x_{y^z} = {x_y}^z=
x^{y^z} = {x^y}^z
\left\lbrace \lbrace \frac{2}{3}\rbrace \right\rbrace 
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&#x1E6D; &#x1EE4; &#x1EE5; &#x1EF0; &#x1EF1; &#x1E7E;
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&#x1E00; &#x1E01;
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&#x1E1A; &#x1E1B; &#x1E2C; &#x1E2D; &#x1E74; &#x1E75;
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&#x100; &#x101; &#x1DE; &#x1DF; &#x1E0; &#x1E1; &#x1E2;&#x1E3;&#x112; &#x113; &#x1E16; &#x1E17;
&#x1E14; &#x1E15; &#x1E20; &#x1E21; &#x126; &#x127;</texmath></formula>
<formula type='inline'><math xmlns='http://www.w3.org/1998/Math/MathML'><mrow><mi>&#x12A;</mi><mi>&#x12B;</mi><mi>&#x1E38;</mi><mi>&#x1E39;</mi><mi>&#x14C;</mi><mi>&#x14D;</mi><mi>&#x1EC;</mi><mi>&#x1ED;</mi><mi>&#x22A;</mi><mi>&#x22B;</mi><mi>&#x22C;</mi><mi>&#x22D;</mi><mi>&#x230;</mi><mi>&#x231;</mi><mi>&#x1E50;</mi><mi>&#x1E51;</mi><mi>&#x1E52;</mi><mi>&#x1E53;</mi></mrow></math><texmath>
&#x12A; &#x12B; &#x1E38; &#x1E39; &#x14C; &#x14D; &#x1EC; &#x1ED; &#x22A; &#x22B; &#x22C;
&#x22D; &#x230; &#x231; &#x1E50; &#x1E51; &#x1E52; &#x1E53;</texmath></formula>
<formula type='inline'><math xmlns='http://www.w3.org/1998/Math/MathML'><mrow><mi>&#x1E5C;</mi><mi>&#x1E5D;</mi><mi>&#x166;</mi><mi>&#x167;</mi><mi>&#x16A;</mi><mi>&#x16B;</mi><mi>&#x1E7A;</mi><mi>&#x1E7B;</mi><mi>&#x232;</mi><mi>&#x233;</mi><mi>&#x226;</mi><mi>&#x227;</mi><mi>&#x1E0;</mi><mi>&#x1E1;</mi><mi>&#x1E02;</mi><mi>&#x1E03;</mi><mi>&#x10A;</mi><mi>&#x10B;</mi><mi>&#x1E0A;</mi><mi>&#x1E0B;</mi><mi>&#x116;</mi><mi>&#x117;</mi><mi>&#x1E1E;</mi><mi>&#x1E1F;</mi><mi>&#x120;</mi><mi>&#x121;</mi><mi>&#x1E22;</mi><mi>&#x1E23;</mi><mi>&#x130;</mi></mrow></math><texmath> &#x1E5C; &#x1E5D;
&#x166; &#x167; &#x16A; &#x16B; &#x1E7A; &#x1E7B; &#x232; &#x233;
&#x226; &#x227; &#x1E0; &#x1E1; &#x1E02; &#x1E03; &#x10A; &#x10B; &#x1E0A; &#x1E0B; &#x116; &#x117; &#x1E1E; &#x1E1F; &#x120; &#x121; &#x1E22;
&#x1E23; &#x130; </texmath></formula>
<formula type='inline'><math xmlns='http://www.w3.org/1998/Math/MathML'><mrow><mi>&#x13F;</mi><mi>&#x140;</mi><mi>&#x1E40;</mi><mi>&#x1E41;</mi><mi>&#x1E44;</mi><mi>&#x1E45;</mi><mi>&#x22E;</mi><mi>&#x22F;</mi><mi>&#x230;</mi><mi>&#x231;</mi><mi>&#x1E56;</mi><mi>&#x1E57;</mi><mi>&#x1E58;</mi><mi>&#x1E59;</mi></mrow></math><texmath>&#x13F; &#x140; &#x1E40; &#x1E41; &#x1E44; &#x1E45; &#x22E; &#x22F; &#x230; &#x231; &#x1E56; &#x1E57; &#x1E58; &#x1E59; </texmath></formula>
<formula type='inline'><math xmlns='http://www.w3.org/1998/Math/MathML'><mrow><mi>&#x1E60;</mi><mi>&#x1E61;</mi><mi>&#x1E68;</mi><mi>&#x1E69;</mi><mi>&#x1E66;</mi><mi>&#x1E67;</mi><mi>&#x1E64;</mi><mi>&#x1E65;</mi><mi>&#x1E6A;</mi><mi>&#x1E6B;</mi><mi>&#x1E86;</mi><mi>&#x1E87;</mi><mi>&#x1E8A;</mi><mi>&#x1E8B;</mi><mi>&#x1E8E;</mi><mi>&#x1E8F;</mi><mi>&#x17B;</mi><mi>&#x17C;</mi></mrow></math><texmath>
&#x1E60;
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&#x1E8B; &#x1E8E; &#x1E8F; &#x17B; &#x17C;
</texmath></formula></p>
<p><formula type='inline'><math xmlns='http://www.w3.org/1998/Math/MathML'><mi>B</mi></math><texmath>B</texmath></formula></p>
<p><formula type='inline'><math xmlns='http://www.w3.org/1998/Math/MathML'><mrow><mi>a</mi><mi>b</mi><mo>+</mo><mn>2</mn><mi>c</mi><mo>=</mo><mi>D</mi><mi>E</mi><mi> ab </mi><mo>+</mo><mn>2</mn><mi mathvariant='normal'>c</mi><mo>=</mo><mi> DE </mi><mi>&#x1D41A;&#x1D41B;</mi><mo>+</mo><mn mathvariant='bold'>2</mn><mi>&#x1D41C;</mi><mo>=</mo><mi>&#x1D403;&#x1D404;</mi><mi>&#x1D44E;&#x1D44F;</mi><mo>+</mo><mn mathvariant='italic'>2</mn><mi>&#x1D450;</mi><mo>=</mo><mi>&#x1D437;&#x1D438;</mi><mi>&#x1D482;&#x1D483;</mi><mo>+</mo><mn mathvariant='bold-italic'>2</mn><mi>&#x1D484;</mi><mo>=</mo><mi>&#x1D46B;&#x1D46C;</mi><mi>&ascr;&bscr;</mi><mo>+</mo><mn mathvariant='script'>2</mn><mi>&cscr;</mi><mo>=</mo><mi>&Dscr;&Escr;</mi><mi>&#x1D4EA;&#x1D4EB;</mi><mo>+</mo><mn mathvariant='bold-script'>2</mn><mi>&#x1D4EC;</mi><mo>=</mo><mi>&#x1D4D3;&#x1D4D4;</mi><mi>&afr;&bfr;</mi><mo>+</mo><mn mathvariant='fraktur'>2</mn><mi>&cfr;</mi><mo>=</mo><mi>&Dfr;&Efr;</mi><mi>&aopf;&bopf;</mi><mo>+</mo><mn mathvariant='double-struck'>2</mn><mi>&copf;</mi><mo>=</mo><mi>&Dopf;&Eopf;</mi><mi>&#x1D586;&#x1D587;</mi><mo>+</mo><mn mathvariant='bold-fraktur'>2</mn><mi>&#x1D588;</mi><mo>=</mo><mi>&#x1D56F;&#x1D570;</mi><mi>&#x1D5BA;&#x1D5BB;</mi><mo>+</mo><mn mathvariant='sans-serif'>2</mn><mi>&#x1D5BC;</mi><mo>=</mo><mi>&#x1D5A3;&#x1D5A4;</mi><mi>&#x1D5EE;&#x1D5EF;</mi><mo>+</mo><mn mathvariant='bold-sans-serif'>2</mn><mi>&#x1D5F0;</mi><mo>=</mo><mi>&#x1D5D7;&#x1D5D8;</mi><mi>&#x1D622;&#x1D623;</mi><mo>+</mo><mn mathvariant='sans-serif-italic'>2</mn><mi>&#x1D624;</mi><mo>=</mo><mi>&#x1D60B;&#x1D60C;</mi><mi>&#x1D656;&#x1D657;</mi><mo>+</mo><mn mathvariant='sans-serif-bold-italic'>2</mn><mi>&#x1D658;</mi><mo>=</mo><mi>&#x1D63F;&#x1D640;</mi><mi>&#x1D68A;&#x1D68B;</mi><mo>+</mo><mn mathvariant='monospace'>2</mn><mi>&#x1D68C;</mi><mo>=</mo><mi>&#x1D673;&#x1D674;</mi></mrow></math><texmath> \mml@font@normal  ab+2c=DE\mml@font@upright  ab+2c=DE\mml@font@bold  ab+2c=DE\mml@font@italic  ab+2c=DE\mml@font@bolditalic  ab+2c=DE\mml@font@script  ab+2c=DE\mml@font@boldscript  ab+2c=DE\mml@font@fraktur  ab+2c=DE\mml@font@doublestruck  ab+2c=DE\mml@font@boldfraktur  ab+2c=DE\mml@font@sansserif  ab+2c=DE\mml@font@boldsansserif  ab+2c=DE\mml@font@sansserifitalic  ab+2c=DE\mml@font@sansserifbolditalic  ab+2c=DE\mml@font@monospace  ab+2c=DE</texmath></formula></p>
<p><formula type='inline'><math xmlns='http://www.w3.org/1998/Math/MathML'><mrow><mi>X</mi><mi>x</mi><mi>&Cscr;&ascr;&lscr;</mi><mi> Rm </mi><mi>&#x1D401;&#x1D41F;</mi><mi>&#x1D5B2;&#x1D5BF;</mi><mi>&#x1D683;&#x1D69D;</mi><mi>&#x1D6A1;</mi><mi>&#x1D6A2;</mi><mo>+</mo><mn mathvariant='monospace'>1</mn><mi>N</mi><mi>o</mi><mi>&#x1D43C;&#x1D461;</mi><mi>&Ffr;&rfr;</mi></mrow></math><texmath>Xx\mathcal {Cal}\mathrm {Rm}\mathbf {Bf}\mathsf {Sf}\mathtt {Tt}\mathtt {x}\mathtt {y+1}\mathnormal {No} \mathit {It}\mathfrak {Fr}</texmath></formula>
<formula type='inline'><math xmlns='http://www.w3.org/1998/Math/MathML'><mrow><mi>&#x1D417;&#x1D431;</mi><mi>&#x1D4D2;&#x1D4EA;&#x1D4F5;</mi><mi> Rm </mi><mi>&#x1D401;&#x1D41F;</mi><mi>&#x1D5E6;&#x1D5F3;</mi><mi>&#x1D683;&#x1D69D;</mi><mi>&#x1D6A1;</mi><mi>&#x1D6A2;</mi><mo>+</mo><mn mathvariant='monospace'>1</mn><mi>&#x1D40D;&#x1D428;</mi><mi>&#x1D470;&#x1D495;</mi><mi>&#x1D571;&#x1D597;</mi></mrow></math><texmath>Xx\mathcal {Cal}\mathrm {Rm}\mathbf {Bf}\mathsf {Sf}\mathtt {Tt}\mathtt {x}\mathtt {y+1}\mathnormal {No} \mathit {It}\mathfrak {Fr}</texmath></formula>

<formula type='inline'><math xmlns='http://www.w3.org/1998/Math/MathML'><mrow><mfrac><mi>&#x1D41F;&#x1D428;&#x1D428;</mi> <mrow><mi> bar </mi><mo>+</mo><mn mathvariant='bold'>1</mn></mrow></mfrac><mo>=</mo><mn mathvariant='bold'>3</mn></mrow></math><texmath>\frac{\mathit {\mathbf {foo}}}{\mathrm {bar}+1}=3</texmath></formula>

<formula type='inline'><math xmlns='http://www.w3.org/1998/Math/MathML'><mrow><mi>&#x1D41A;</mi><mtext mathvariant='bold'>b=1</mtext><mi>&#x1D41C;</mi></mrow></math><texmath>a\text{b=1} c</texmath></formula></p>
<p>oooooooooooooo
<formula type='inline'><math xmlns='http://www.w3.org/1998/Math/MathML'><mrow><mi>a</mi><mtext>b=1</mtext><mi>c</mi></mrow></math><texmath>a\myhbox{b=1} c</texmath></formula>
<formula type='inline'><math xmlns='http://www.w3.org/1998/Math/MathML'><mrow><mi>a</mi><mtext>b=1</mtext><mi>c</mi></mrow></math><texmath>a\text{b=1} c</texmath></formula>
<formula type='inline'><math xmlns='http://www.w3.org/1998/Math/MathML'><mrow><mi>a</mi><mtext>b=1</mtext><mi>c</mi></mrow></math><texmath>a\mbox{b=1} c</texmath></formula>
<formula type='inline'><math xmlns='http://www.w3.org/1998/Math/MathML'><mrow><mi>a</mi><mtext>b=1</mtext><mi>c</mi></mrow></math><texmath>a\hbox{b=1} c</texmath></formula></p>
<p><formula type='inline' tag='8-2-3'><math xmlns='http://www.w3.org/1998/Math/MathML'><mrow><mi>a</mi><mtext>b=1</mtext><mi>c</mi></mrow></math><texmath tag='8-2-3'>a\mbox{b=1} c</texmath></formula></p>
<p><formula type='inline'><math xmlns='http://www.w3.org/1998/Math/MathML'><mfenced open='(' close=')'><mtable><mtr><mtd><mfenced separators='' open='(' close=')'><mfrac linethickness='0pt'><mn>1</mn> <mn>2</mn></mfrac></mfenced></mtd><mtd><mrow><msubsup><mo>&int;</mo> <mn>0</mn> <mi>&infin;</mi> </msubsup><mi>f</mi><mrow><mo>(</mo><mi>x</mi><mo>)</mo></mrow><mi>d</mi><mi>x</mi></mrow></mtd></mtr><mtr><mtd><msub><mi>&Wfr;</mi> <mn>2</mn> </msub></mtd><mtd><mrow><mtext>xyz</mtext><mo>=</mo><msqrt><mrow><mi>x</mi><mi>x</mi><mi>y</mi><mi>y</mi><mi>z</mi><mi>z</mi></mrow></msqrt></mrow></mtd></mtr></mtable></mfenced></math><texmath>\begin{pmatrix}
\binom{1}{2}&amp;\int _0^\infty f(x)dx\\[2cm]
\mathfrak {W}_2&amp;\text{xyz}=\sqrt{xxyyzz}
\end{pmatrix}</texmath></formula></p>
<p>signal <formula type='inline'><math xmlns='http://www.w3.org/1998/Math/MathML'><mrow><mover accent='true'><mi>x</mi> <mo>&OverBar;</mo></mover><mo>&Element;</mo><mi>&Fscr;</mi><mrow><mo>(</mo><mi>y</mi><mo>)</mo></mrow></mrow></math><texmath>\bar{x }\in \mathcal {F} (y )</texmath></formula> with smallest support.</p>
<p><formula type='inline'><math xmlns='http://www.w3.org/1998/Math/MathML'><mrow><mtext>(</mtext><mref target='uid11'/><mtext>)</mtext><mo>=</mo><mo>(</mo><mref target='uid11'/><mo>)</mo><mo>=</mo><mtext>(</mtext><mref target='uid11'/><mtext>)</mtext></mrow></math><texmath>\mbox{(\ref {W102})}=(\ref {W102})=\mbox{(\ref {W102})}</texmath></formula></p>
<formula id-text='5' id='uid13' textype='eqnarray' type='display'><math mode='display' xmlns='http://www.w3.org/1998/Math/MathML'><mtable displaystyle='true'><mtr><mtd columnalign='right'><mi>a</mi></mtd><mtd><mo>=</mo></mtd><mtd columnalign='left'><mi>b</mi></mtd></mtr><mtr><mtd/><mtd><mo>=</mo></mtd><mtd columnalign='left'><mrow><mi>c</mi><mtext>by</mtext><mspace width='4.pt'/><mtext>(</mtext><mref target='uid1'/><mtext>)</mtext></mrow></mtd></mtr></mtable></math><texmath>
a &amp; = &amp; b \\
&amp; = &amp; c
\mbox{by (\ref {eqn:main2})} </texmath></formula>
<formula id-text='5' id='uid14' type='display'><math mode='display' xmlns='http://www.w3.org/1998/Math/MathML'><mn>1234</mn></math><texmath>1234</texmath></formula>
<p>Non math version
Is upper case : BAR</p>
<p noindent='true'>Is lower case : bar</p>
<p noindent='true'>Is upper case : FOO</p>
<p noindent='true'>Is lower case : foo</p>
<p noindent='true'>Is upper case : BAR</p>
<p noindent='true'>Is upper case : BAR</p>
<p noindent='true'>Is lower case : bar</p>
<p noindent='true'>Is lower case : bar</p>
<p noindent='true'>Is upper case : <formula type='inline'><math xmlns='http://www.w3.org/1998/Math/MathML'><mrow><mi>B</mi><mi>A</mi><mi>R</mi></mrow></math><texmath>BAR</texmath></formula></p>
<p noindent='true'>Is lower case : <formula type='inline'><math xmlns='http://www.w3.org/1998/Math/MathML'><mrow><mi>b</mi><mi>a</mi><mi>r</mi></mrow></math><texmath>bar</texmath></formula></p>
<p noindent='true'>Is upper case : <formula type='inline'><math xmlns='http://www.w3.org/1998/Math/MathML'><mrow><mi>F</mi><mi>O</mi><mi>O</mi></mrow></math><texmath>FOO</texmath></formula></p>
<p noindent='true'>Is lower case : <formula type='inline'><math xmlns='http://www.w3.org/1998/Math/MathML'><mrow><mi>f</mi><mi>o</mi><mi>o</mi></mrow></math><texmath>foo</texmath></formula></p>
<p noindent='true'>Is upper case : <formula type='inline'><math xmlns='http://www.w3.org/1998/Math/MathML'><mrow><mi>B</mi><mi>A</mi><mi>R</mi></mrow></math><texmath>BAR</texmath></formula></p>
<p noindent='true'>Is upper case : <formula type='inline'><math xmlns='http://www.w3.org/1998/Math/MathML'><mrow><mi>B</mi><mi>A</mi><mi>R</mi></mrow></math><texmath>BAR</texmath></formula></p>
<p noindent='true'>Is lower case : <formula type='inline'><math xmlns='http://www.w3.org/1998/Math/MathML'><mrow><mi>b</mi><mi>a</mi><mi>r</mi></mrow></math><texmath>bar</texmath></formula></p>
<p noindent='true'>Is lower case : <formula type='inline'><math xmlns='http://www.w3.org/1998/Math/MathML'><mrow><mi>b</mi><mi>a</mi><mi>r</mi></mrow></math><texmath>bar</texmath></formula></p>
<p noindent='true'><formula type='inline'><math xmlns='http://www.w3.org/1998/Math/MathML'><mrow><mrow/><mfenced separators='' open='&lbrace;' close=''><mtable><mtr><mtd columnalign='left'><mrow><mn>2</mn><mi>h</mi><mo>(</mo><mi>n</mi><mo>)</mo></mrow></mtd><mtd columnalign='left'><mrow><mspace width='4.pt'/><mtext>for</mtext><mspace width='4.pt'/><mrow><mn>0</mn><mo>&le;</mo><mi>n</mi><mo>&le;</mo><mi>N</mi><mo>/</mo><mn>2</mn><mo>-</mo><mn>1</mn></mrow><mspace width='4.pt'/></mrow></mtd></mtr><mtr><mtd columnalign='left'><mn>0</mn></mtd><mtd columnalign='left'><mrow><mspace width='4.pt'/><mtext>otherwise</mtext><mspace width='4.pt'/></mrow></mtd></mtr></mtable></mfenced></mrow></math><texmath>{}\left\lbrace \begin{array}{ll} 2 h(n) &amp;\text{ for $0 \le n \le N/2-1$ }\\0 &amp;\text{ otherwise }\\\end{array}\right. </texmath></formula></p>
<formula type='display' label='1'><math mode='display' xmlns='http://www.w3.org/1998/Math/MathML'><mi>x</mi></math><texmath label='1'>x</texmath></formula>
<formula type='display'><math mode='display' xmlns='http://www.w3.org/1998/Math/MathML'><mrow><mfenced separators='' open='(' close=')'><mfrac linethickness='0pt'><mfrac><mrow><mrow><mo>\</mo><mi mathvariant='normal'>s</mi><mi mathvariant='normal'>c</mi><mi mathvariant='normal'>r</mi><mi mathvariant='normal'>i</mi><mi mathvariant='normal'>p</mi><mi mathvariant='normal'>t</mi><mi mathvariant='normal'>s</mi><mi mathvariant='normal'>t</mi><mi mathvariant='normal'>y</mi><mi mathvariant='normal'>l</mi><mi mathvariant='normal'>e</mi><mo>+</mo></mrow><mi mathvariant='normal'>m</mi></mrow> <mn>2</mn></mfrac> <mrow><mo>\</mo><mi mathvariant='normal'>t</mi><mi mathvariant='normal'>e</mi><mi mathvariant='normal'>x</mi><mi mathvariant='normal'>t</mi><mi mathvariant='normal'>s</mi><mi mathvariant='normal'>t</mi><mi mathvariant='normal'>y</mi><mi mathvariant='normal'>l</mi><mi mathvariant='normal'>e</mi><mn>0</mn></mrow></mfrac></mfenced><mspace width='1.em'/><mfenced open='(' close=')'><mstyle scriptlevel='0' displaystyle='false'><mfrac linethickness='0pt'><mfrac><mrow><mrow><mo>\</mo><mi mathvariant='normal'>s</mi><mi mathvariant='normal'>c</mi><mi mathvariant='normal'>r</mi><mi mathvariant='normal'>i</mi><mi mathvariant='normal'>p</mi><mi mathvariant='normal'>t</mi><mi mathvariant='normal'>s</mi><mi mathvariant='normal'>c</mi><mi mathvariant='normal'>r</mi><mi mathvariant='normal'>i</mi><mi mathvariant='normal'>p</mi><mi mathvariant='normal'>t</mi><mi mathvariant='normal'>s</mi><mi mathvariant='normal'>t</mi><mi mathvariant='normal'>y</mi><mi mathvariant='normal'>l</mi><mi mathvariant='normal'>e</mi><mo>+</mo></mrow><mi mathvariant='normal'>m</mi></mrow> <mn>2</mn></mfrac> <mrow><mo>\</mo><mi mathvariant='normal'>s</mi><mi mathvariant='normal'>c</mi><mi mathvariant='normal'>r</mi><mi mathvariant='normal'>i</mi><mi mathvariant='normal'>p</mi><mi mathvariant='normal'>t</mi><mi mathvariant='normal'>s</mi><mi mathvariant='normal'>t</mi><mi mathvariant='normal'>y</mi><mi mathvariant='normal'>l</mi><mi mathvariant='normal'>e</mi><mn>0</mn></mrow></mfrac></mstyle></mfenced><mspace width='1.em'/><mfenced open='(' close=')'><mstyle scriptlevel='0' displaystyle='true'><mfrac linethickness='0pt'><mfrac><mrow><mrow><mo>\</mo><mi mathvariant='normal'>s</mi><mi mathvariant='normal'>c</mi><mi mathvariant='normal'>r</mi><mi mathvariant='normal'>i</mi><mi mathvariant='normal'>p</mi><mi mathvariant='normal'>t</mi><mi mathvariant='normal'>s</mi><mi mathvariant='normal'>t</mi><mi mathvariant='normal'>y</mi><mi mathvariant='normal'>l</mi><mi mathvariant='normal'>e</mi><mo>+</mo></mrow><mi mathvariant='normal'>m</mi></mrow> <mn>2</mn></mfrac> <mrow><mo>\</mo><mi mathvariant='normal'>t</mi><mi mathvariant='normal'>e</mi><mi mathvariant='normal'>x</mi><mi mathvariant='normal'>t</mi><mi mathvariant='normal'>s</mi><mi mathvariant='normal'>t</mi><mi mathvariant='normal'>y</mi><mi mathvariant='normal'>l</mi><mi mathvariant='normal'>e</mi><mn>0</mn></mrow></mfrac></mstyle></mfenced><mspace width='2.em'/><msup><mrow/> <mrow><mfenced separators='' open='(' close=')'><mfrac linethickness='0pt'><mfrac><mrow><mrow><mo>\</mo><mi mathvariant='normal'>s</mi><mi mathvariant='normal'>c</mi><mi mathvariant='normal'>r</mi><mi mathvariant='normal'>i</mi><mi mathvariant='normal'>p</mi><mi mathvariant='normal'>t</mi><mi mathvariant='normal'>s</mi><mi mathvariant='normal'>c</mi><mi mathvariant='normal'>r</mi><mi mathvariant='normal'>i</mi><mi mathvariant='normal'>p</mi><mi mathvariant='normal'>t</mi><mi mathvariant='normal'>s</mi><mi mathvariant='normal'>t</mi><mi mathvariant='normal'>y</mi><mi mathvariant='normal'>l</mi><mi mathvariant='normal'>e</mi><mo>+</mo></mrow><mi mathvariant='normal'>m</mi></mrow> <mn>2</mn></mfrac> <mrow><mo>\</mo><mi mathvariant='normal'>s</mi><mi mathvariant='normal'>c</mi><mi mathvariant='normal'>r</mi><mi mathvariant='normal'>i</mi><mi mathvariant='normal'>p</mi><mi mathvariant='normal'>t</mi><mi mathvariant='normal'>s</mi><mi mathvariant='normal'>c</mi><mi mathvariant='normal'>r</mi><mi mathvariant='normal'>i</mi><mi mathvariant='normal'>p</mi><mi mathvariant='normal'>t</mi><mi mathvariant='normal'>s</mi><mi mathvariant='normal'>t</mi><mi mathvariant='normal'>y</mi><mi mathvariant='normal'>l</mi><mi mathvariant='normal'>e</mi><mn>0</mn></mrow></mfrac></mfenced><mspace width='1.em'/><mfenced open='(' close=')'><mstyle scriptlevel='0' displaystyle='false'><mfrac linethickness='0pt'><mfrac><mrow><mrow><mo>\</mo><mi mathvariant='normal'>s</mi><mi mathvariant='normal'>c</mi><mi mathvariant='normal'>r</mi><mi mathvariant='normal'>i</mi><mi mathvariant='normal'>p</mi><mi mathvariant='normal'>t</mi><mi mathvariant='normal'>s</mi><mi mathvariant='normal'>c</mi><mi mathvariant='normal'>r</mi><mi mathvariant='normal'>i</mi><mi mathvariant='normal'>p</mi><mi mathvariant='normal'>t</mi><mi mathvariant='normal'>s</mi><mi mathvariant='normal'>t</mi><mi mathvariant='normal'>y</mi><mi mathvariant='normal'>l</mi><mi mathvariant='normal'>e</mi><mo>+</mo></mrow><mi mathvariant='normal'>m</mi></mrow> <mn>2</mn></mfrac> <mrow><mo>\</mo><mi mathvariant='normal'>s</mi><mi mathvariant='normal'>c</mi><mi mathvariant='normal'>r</mi><mi mathvariant='normal'>i</mi><mi mathvariant='normal'>p</mi><mi mathvariant='normal'>t</mi><mi mathvariant='normal'>s</mi><mi mathvariant='normal'>t</mi><mi mathvariant='normal'>y</mi><mi mathvariant='normal'>l</mi><mi mathvariant='normal'>e</mi><mn>0</mn></mrow></mfrac></mstyle></mfenced><mspace width='1.em'/><mfenced open='(' close=')'><mstyle scriptlevel='0' displaystyle='true'><mfrac linethickness='0pt'><mfrac><mrow><mrow><mo>\</mo><mi mathvariant='normal'>s</mi><mi mathvariant='normal'>c</mi><mi mathvariant='normal'>r</mi><mi mathvariant='normal'>i</mi><mi mathvariant='normal'>p</mi><mi mathvariant='normal'>t</mi><mi mathvariant='normal'>s</mi><mi mathvariant='normal'>t</mi><mi mathvariant='normal'>y</mi><mi mathvariant='normal'>l</mi><mi mathvariant='normal'>e</mi><mo>+</mo></mrow><mi mathvariant='normal'>m</mi></mrow> <mn>2</mn></mfrac> <mrow><mo>\</mo><mi mathvariant='normal'>t</mi><mi mathvariant='normal'>e</mi><mi mathvariant='normal'>x</mi><mi mathvariant='normal'>t</mi><mi mathvariant='normal'>s</mi><mi mathvariant='normal'>t</mi><mi mathvariant='normal'>y</mi><mi mathvariant='normal'>l</mi><mi mathvariant='normal'>e</mi><mn>0</mn></mrow></mfrac></mstyle></mfenced></mrow> </msup></mrow></math><texmath>\rm \binom{\frac{\mathchoice{\displaystyle+}{\textstyle+}{\scriptstyle+}{\scriptscriptstyle+}m}{2}}{\mathchoice{\displaystyle0}{\textstyle0}{\scriptstyle0}{\scriptscriptstyle0}} \quad \tbinom{\frac{\mathchoice{\displaystyle+}{\textstyle+}{\scriptstyle+}{\scriptscriptstyle+}m}{2}}{\mathchoice{\displaystyle0}{\textstyle0}{\scriptstyle0}{\scriptscriptstyle0}} \quad \dbinom{\frac{\mathchoice{\displaystyle+}{\textstyle+}{\scriptstyle+}{\scriptscriptstyle+}m}{2}}{\mathchoice{\displaystyle0}{\textstyle0}{\scriptstyle0}{\scriptscriptstyle0}}\qquad {}^{\binom{\frac{\mathchoice{\displaystyle+}{\textstyle+}{\scriptstyle+}{\scriptscriptstyle+}m}{2}}{\mathchoice{\displaystyle0}{\textstyle0}{\scriptstyle0}{\scriptscriptstyle0}} \quad \tbinom{\frac{\mathchoice{\displaystyle+}{\textstyle+}{\scriptstyle+}{\scriptscriptstyle+}m}{2}}{\mathchoice{\displaystyle0}{\textstyle0}{\scriptstyle0}{\scriptscriptstyle0}} \quad \dbinom{\frac{\mathchoice{\displaystyle+}{\textstyle+}{\scriptstyle+}{\scriptscriptstyle+}m}{2}}{\mathchoice{\displaystyle0}{\textstyle0}{\scriptstyle0}{\scriptscriptstyle0}}}</texmath></formula>
<p>Additional tests
<formula type='inline'><math xmlns='http://www.w3.org/1998/Math/MathML'><mrow><mspace width='20.0pt'/><mo>,</mo><mspace width='56.9055pt'/><mn>12</mn><mo>&gt;</mo><mn>10</mn><mspace width='0.166667em'/><mi>$</mi></mrow></math><texmath>\hspace{20.0pt}, \hspace*{56.9055pt} 12&gt;10\,\$</texmath></formula>
<formula type='inline'><math xmlns='http://www.w3.org/1998/Math/MathML'><mfenced separators='' open='[' close='&lbrace;'><msubsup><mi>&#x1D465;</mi> <mn>2</mn> <mn>1</mn> </msubsup><msubsup><mi>y</mi> <mn>33</mn> <mn>22</mn> </msubsup></mfenced></math><texmath>\left[\mathit {x}^1_2 y^{22}_{33}\right\lbrace </texmath></formula>
<formula type='inline'><math xmlns='http://www.w3.org/1998/Math/MathML'><mrow><mover><mi>x</mi> <mo>&OverBar;</mo></mover><mfrac><mn>1</mn> <mn>2</mn></mfrac><mi A='B'>c</mi></mrow></math><texmath>\overline{x}\frac{1}{2} \mathmi[A='B']{c}</texmath></formula>
<formula type='inline'><math xmlns='http://www.w3.org/1998/Math/MathML'><mrow><mstyle scriptlevel='2' displaystyle='false'><mfrac linethickness='2.0pt'><mi>u</mi> <mi>v</mi></mfrac></mstyle><mfenced separators='' open='[' close=']'><mfrac><mi>u</mi> <mi>v</mi></mfrac></mfenced></mrow></math><texmath>\genfrac{}{}{2.0pt}3{u}{v} \genfrac[]{}{}{u}{v}</texmath></formula>
<formula type='inline'><math xmlns='http://www.w3.org/1998/Math/MathML'><mrow><msqrt><mn>10</mn></msqrt><mroot><mn>4</mn> <mn>3</mn></mroot><mroot><mn>7</mn> <mn>6</mn></mroot></mrow></math><texmath>\sqrt{10} \@root 3  \of {4} \@root 6 \of {7}</texmath></formula>
If <formula type='inline'><math xmlns='http://www.w3.org/1998/Math/MathML'><mrow><mi>x</mi><mo>&Element;</mo><mi>&emptyset;</mi></mrow></math><texmath>x\in \emptyset </texmath></formula> then <formula type='inline'><math xmlns='http://www.w3.org/1998/Math/MathML'><mrow><mo>&forall;</mo><mi>n</mi><mo>&gt;</mo><mn>0</mn><mo>,</mo><mstyle scriptlevel='0' displaystyle='true'><mfrac><mn>1</mn> <msup><mi>n</mi> <mn>2</mn> </msup></mfrac></mstyle><mo>&lt;</mo><mn>0</mn></mrow></math><texmath>\forall n&gt;0, \dfrac{1}{n^2}&lt;0</texmath></formula></p>
<p>Kumar test
<formula type='inline'><math xmlns='http://www.w3.org/1998/Math/MathML'><msub><mi>x</mi> <mrow><mtext>H</mtext><mspace width='0.166667em'/><mtext>i</mtext></mrow> </msub></math><texmath>x_{\mbox{{\scriptsize {H\,{\sc i}}}}}</texmath></formula>
<formula type='inline'><math xmlns='http://www.w3.org/1998/Math/MathML'><msub><mi>x</mi> <mrow><mtext>H</mtext><mspace width='0.166667em'/><mspace width='1.em'/><mspace width='2.em'/><mspace width='-0.166667em'/><mspace width='0.166667em'/><mspace width='0.222222em'/><mspace width='0.277778em'/><mtext>i</mtext></mrow> </msub></math><texmath>x_{\mbox{{\scriptsize {H\,\quad \qquad \!\,\:\;{\sc i}}}}}</texmath></formula>
Testing references <ref target='uid14'/> <ref target='uid1'/>
<formula type='inline' tag='8-2-3'><math xmlns='http://www.w3.org/1998/Math/MathML' xx='yy'><mrow><mi>a</mi><mtext>b=1</mtext><mi>c</mi></mrow></math><texmath xx='yy' tag='8-2-3'>a\mbox{b=1} c</texmath></formula>


<formula type='inline'><math xmlns='http://www.w3.org/1998/Math/MathML'><mrow><mi>&Pi;</mi><mo>=</mo><mi>&Psi;</mi></mrow></math><texmath>\varPi =\varPsi </texmath></formula></p>
<formula id-text='5' id='uid15' textype='align' type='display'><math mode='display' xmlns='http://www.w3.org/1998/Math/MathML'><mtable displaystyle='true'><mtr><mtd columnalign='right'><mn>123</mn></mtd><mtd columnalign='left'><mn>34</mn></mtd></mtr><mtr><mtd columnalign='right'><mn>56</mn></mtd><mtd columnalign='left'><mn>78</mn></mtd></mtr></mtable></math><texmath> 123&amp;34\\56&amp;78</texmath></formula>
<formula textype='align*' type='display'><math mode='display' xmlns='http://www.w3.org/1998/Math/MathML'><mtable displaystyle='true'><mtr><mtd columnalign='right'><mn>123</mn></mtd><mtd columnalign='left'><mn>34</mn></mtd></mtr><mtr><mtd columnalign='right'><mn>56</mn></mtd><mtd columnalign='left'><mn>78</mn></mtd></mtr></mtable></math><texmath> 123&amp;34\\56&amp;78</texmath></formula>
<formula id-text='5' id='uid16' textype='flalign' type='display'><math mode='display' xmlns='http://www.w3.org/1998/Math/MathML'><mtable displaystyle='true'><mtr><mtd columnalign='right'><mn>123</mn></mtd><mtd columnalign='left'><mn>34</mn></mtd></mtr><mtr><mtd columnalign='right'><mn>56</mn></mtd><mtd columnalign='left'><mn>78</mn></mtd></mtr></mtable></math><texmath> 123&amp;34\\56&amp;78</texmath></formula>
<formula textype='flalign*' type='display'><math mode='display' xmlns='http://www.w3.org/1998/Math/MathML'><mtable displaystyle='true'><mtr><mtd columnalign='right'><mn>123</mn></mtd><mtd columnalign='left'><mn>34</mn></mtd></mtr><mtr><mtd columnalign='right'><mn>56</mn></mtd><mtd columnalign='left'><mn>78</mn></mtd></mtr></mtable></math><texmath> 123&amp;34\\56&amp;78</texmath></formula>
<formula id-text='5' id='uid17' textype='alignat' type='display'><math mode='display' xmlns='http://www.w3.org/1998/Math/MathML'><mtable displaystyle='true'><mtr><mtd columnalign='right'><mn>23</mn></mtd><mtd columnalign='left'><mn>34</mn></mtd></mtr><mtr><mtd columnalign='right'><mn>56</mn></mtd><mtd columnalign='left'><mn>78</mn></mtd></mtr></mtable></math><texmath>23&amp;34\\56&amp;78</texmath></formula>
<formula textype='alignat*' type='display'><math mode='display' xmlns='http://www.w3.org/1998/Math/MathML'><mtable displaystyle='true'><mtr><mtd columnalign='right'><mn>23</mn></mtd><mtd columnalign='left'><mn>34</mn></mtd></mtr><mtr><mtd columnalign='right'><mn>56</mn></mtd><mtd columnalign='left'><mn>78</mn></mtd></mtr></mtable></math><texmath>23&amp;34\\56&amp;78</texmath></formula>
<formula id-text='5' id='uid18' textype='xalignat' type='display'><math mode='display' xmlns='http://www.w3.org/1998/Math/MathML'><mtable displaystyle='true'><mtr><mtd columnalign='right'><mn>23</mn></mtd><mtd columnalign='left'><mn>34</mn></mtd></mtr><mtr><mtd columnalign='right'><mn>56</mn></mtd><mtd columnalign='left'><mn>78</mn></mtd></mtr></mtable></math><texmath>23&amp;34\\56&amp;78</texmath></formula>
<formula textype='xalignat*' type='display'><math mode='display' xmlns='http://www.w3.org/1998/Math/MathML'><mtable displaystyle='true'><mtr><mtd columnalign='right'><mn>23</mn></mtd><mtd columnalign='left'><mn>34</mn></mtd></mtr><mtr><mtd columnalign='right'><mn>56</mn></mtd><mtd columnalign='left'><mn>78</mn></mtd></mtr></mtable></math><texmath>23&amp;34\\56&amp;78</texmath></formula>
<formula id-text='5' id='uid19' textype='xxalignat' type='display'><math mode='display' xmlns='http://www.w3.org/1998/Math/MathML'><mtable displaystyle='true'><mtr><mtd columnalign='right'><mn>23</mn></mtd><mtd columnalign='left'><mn>34</mn></mtd></mtr><mtr><mtd columnalign='right'><mn>56</mn></mtd><mtd columnalign='left'><mn>78</mn></mtd></mtr></mtable></math><texmath>23&amp;34\\56&amp;78</texmath></formula>
<formula textype='xxalignat*' type='display'><math mode='display' xmlns='http://www.w3.org/1998/Math/MathML'><mtable displaystyle='true'><mtr><mtd columnalign='right'><mn>23</mn></mtd><mtd columnalign='left'><mn>34</mn></mtd></mtr><mtr><mtd columnalign='right'><mn>56</mn></mtd><mtd columnalign='left'><mn>78</mn></mtd></mtr></mtable></math><texmath>23&amp;34\\56&amp;78</texmath></formula>
<p noindent='true'>
ok</p>
<p noindent='true'>AT_DOC_END</p></div0>
</ramain>