complex3.tex

\begin{array}{cc}
2\sum {a}{b} &  \\
{{x}}^{\prime 3} &  \\
{{f}}^{\prime }({x})+{sin}{cos}{\theta }=1 &  \\
{f}({z})=\underset{{n}=0}{\overset{{\infty }}{\sum }}{{a}}_{{n}}{{z}}^{{n}}\mathrm{,}\left| {z}\right| <{R}\operatorname{}({R}\neq 0) &  \\
{\int }_{{C}}\left( \underset{{n}=0}{\overset{{\infty }}{\sum }}{{a}}_{{n}}{{z}}^{{n}}\right) {z}=\underset{{n}=0}{\overset{{\infty }}{\sum }}{{a}}_{{n}}{\int }_{{C}}{{z}}^{{n}}{z} &  \\
{\lim}_{{n}\rightarrow {\infty }}\left| {\int }_{{C}}\left\lbrack  {f}({z})-\underset{{k}=0}{\overset{{n}}{\sum }}{{a}}_{{k}}{{z}}^{{k}}\right\rbrack  {z}\right| =0 &  \\
{n}\geq {N}({\varepsilon })\Rightarrow \left| {f}({z})-\underset{{k}=0}{\overset{{n}}{\sum }}{{a}}_{{k}}{{z}}^{{k}}\right| <{\varepsilon } &  \\
10\mathrm{\,\ Bq}+10\mathrm{\,\ Ci} &  \\
10\mathrm{\,\ amol}+10\mathrm{\,\ Emol}-10\mathrm{\,\ fmol}+10\mathrm{\,\ Gmol}-10\mathrm{\,\ kmol}+10\mathrm{\,\ Mmol} &  \\
10\mathrm{\,\ \mu\ mol}+10\mathrm{\,\ mmol}-10\mathrm{\,\ mol}+10\mathrm{\,\ nmol}-10\mathrm{\,\ Pmol}+10\mathrm{\,\ pmol}-10\mathrm{\,\ Tmol} &  \\
10\mathrm{\,\ acre}+10\mathrm{\,\ hectare}-10{\mathrm{\,\ ft}}^{2}+10{\mathrm{\,\ in}}^{2}-10{\mathrm{\,\ m}}^{2} &  \\
10\mathrm{\,\ A}+10\mathrm{\,\ kA}-10\mathrm{\,\ \mu\ A}+10\mathrm{\,\ mA}-10\mathrm{\,\ nA} &  \\
10\mathrm{\,\ F}+10\mathrm{\,\ \mu\ F}-10\mathrm{\,\ mF}+10\mathrm{\,\ nF}-10\mathrm{\,\ pF} &  \\
10\mathrm{\,\ C}+1.0\mathrm{\,\ m/s/s}-0.1\mathrm{\,\ m}/{\mathrm{s}}^{2} &  \\
10\mathrm{\,\ kS}+10\mathrm{\,\ \mu\ S}-10\mathrm{\,\ mS}+10\mathrm{\,\ S} &  \\
10\mathrm{\,\ kV}+10\mathrm{\,\ MV}-10\mathrm{\,\ \mu\ V}+10\mathrm{\,\ mV}-10\mathrm{\,\ nV}+10\mathrm{\,\ pV}-10\mathrm{\,\ V} &  \\
10\mathrm{\,\ G\Omega\ }+10\mathrm{\,\ k\Omega\ }-10\mathrm{\,\ M\Omega\ }+10\mathrm{\,\ m\Omega\ }-10\mathrm{\,\ \Omega\ } &  \\
10\mathrm{\,\ Btu}+10\mathrm{\,\ cal}-10\mathrm{\,\ eV}+10\mathrm{\,\ erg}-10\mathrm{\,\ GeV}+10\mathrm{\,\ GJ} &  \\
10\mathrm{\,\ J}+10\mathrm{\,\ kcal}-10\mathrm{\,\ kJ}+10\mathrm{\,\ MeV}-10\mathrm{\,\ MJ}+10\mathrm{\,\ \mu\ J}-10\mathrm{\,\ mJ}+10\mathrm{\,\ nJ} &  \\
10\mathrm{\,\ dyn}+10\mathrm{\,\ kN}-10\mathrm{\,\ MN}+10\mathrm{\,\ \mu\ N}-10\mathrm{\,\ mN}+10\mathrm{\,\ N}-10\mathrm{\,\ ozf}+10\mathrm{\,\ lbf} &  \\
10\mathrm{\,\ EHz}+10\mathrm{\,\ GHz}-10\mathrm{\,\ Hz}+10\mathrm{\,\ kHz}-10\mathrm{\,\ MHz}+10\mathrm{\,\ PHz}-10\mathrm{\,\ THz} &  \\
10\mathrm{\,\ fc}+10\mathrm{\,\ lx}-10\mathrm{\,\ phot} &  \\
10\mathrm{\,\ \mathring{\mathrm{A}}\ }+10\mathrm{\,\ am}-10\mathrm{\,\ cm}+10\mathrm{\,\ dm}-10\mathrm{\,\ fm}+10\mathrm{\,\ ft}-10\mathrm{\,\ in} &  \\
10\mathrm{\,\ km}+10\mathrm{\,\ m}-10\mathrm{\,\ \mu\ m}+10\mathrm{\,\ mi}-10\mathrm{\,\ mm}+10\mathrm{\,\ nm}-10\mathrm{\,\ pm} &  \\
10\mathrm{\,\ sb} &  \\
10\mathrm{\,\ lm} &  \\
10\mathrm{\,\ cd} &  \\
10\mathrm{\,\ Mx}+10\mathrm{\,\ \mu\ Wb}-10\mathrm{\,\ mWb}+10\mathrm{\,\ nWb}-10\mathrm{\,\ Wb} &  \\
10\mathrm{\,\ G}+10\mathrm{\,\ \mu\ T}-10\mathrm{\,\ mT}+10\mathrm{\,\ nT}-10\mathrm{\,\ pT}+10\mathrm{\,\ T} &  \\
10\mathrm{\,\ H}+10\mathrm{\,\ \mu\ H}-10\mathrm{\,\ mH} &  \\
10\mathrm{\,\ u}+10\mathrm{\,\ cg}-10\mathrm{\,\ dg}+10\mathrm{\,\ g}-10\mathrm{\,\ kg}+10\mathrm{\,\ \mu\ g}-10\mathrm{\,\ mg}+10\mathrm{\,\ lb}-10\mathrm{\,\ slug} &  \\
10\mathrm{\,\ }+10\mathrm{\,\ \mu\ rad}-10\mathrm{\,\ mrad}+10{\mathrm{}}^{\mathrm{\prime\ }}-10\mathrm{\,\ rad}+10{\mathrm{}}^{\mathrm{\prime\ \prime\ }} &  \\
10\mathrm{\,\ GW}+10\mathrm{\,\ hp}-10\mathrm{\,\ kW}+10\mathrm{\,\ MW}-10\mathrm{\,\ \mu\ W}+10\mathrm{\,\ mW}-10\mathrm{\,\ nW}+10\mathrm{\,\ W} &  \\
10\mathrm{\,\ atm}+10\mathrm{\,\ bar}-10\mathrm{\,\ kbar}+10\mathrm{\,\ kPa}-10\mathrm{\,\ MPa}+10\mathrm{\,\ \mu\ Pa}-10\mathrm{\,\ mbar}+10\mathrm{\,\ mmHg}-10\mathrm{\,\ Pa}+10\mathrm{\,\ torr} &  \\
10\mathrm{\,\ sr} &  \\
10\mathrm{\,\ C}+10\mathrm{\,\ F}-10\mathrm{\,\ K} &  \\
10\mathrm{\,\ as}+10\mathrm{\,\ d}-10\mathrm{\,\ fs}+10\mathrm{\,\ h}-10\mathrm{\,\ \mu\ s}+10\mathrm{\,\ ms}-10\mathrm{\,\ min}+10\mathrm{\,\ ns}-10\mathrm{\,\ ps}+10\mathrm{\,\ s}-10\mathrm{\,\ y} &  \\
10{\mathrm{\,\ ft}}^{3}+10{\mathrm{\,\ in}}^{3}-10{\mathrm{\,\ m}}^{3}+10\mathrm{\,\ gal}-10\mathrm{\,\ l} &  \\
10\mathrm{\,\ ml}+10\mathrm{\,\ pint}-10\mathrm{\,\ qt} &  \\
\frac{1}{{x}\left( {y}\right) } =\left( -\int {{e}}^{-\frac{1}{2} {{y}}^{2}}{sin}{y}{y}+{{C}}_{1}\right) {{e}}^{\frac{1}{2} {{y}}^{2}} &  \\
{}_{{x}}{y}-{y}={sin}{x} &  \\
\left( \genfrac{}{}{0.0mm}{}{1}{2} \right) \left( \genfrac{}{}{0.0mm}{}{1}{2} \right) \left( \genfrac{}{}{0.0mm}{}{1}{2} \right)  &  \\
\left\lbrack  \genfrac{}{}{0.0mm}{}{1}{2} \right\rbrack  \left( \genfrac{}{}{0.0mm}{}{1}{2} \right) \left\{  \genfrac{}{}{0.0mm}{}{1}{2} \right\}   &  \\
\left\langle  \frac{1}{2} \right\rangle  \left\lfloor  \frac{1}{2} \right\rfloor  \left\lceil  \frac{1}{2} \right\rceil   &  \\
\uparrow \frac{1}{2} \uparrow \downarrow \frac{1}{2} \downarrow \updownarrow \frac{1}{2} \updownarrow  &  \\
\frac{1}{2} \frac{1}{2} \frac{1}{2}  &  \\
\frac{1}{2} \frac{1}{2} \frac{1}{2}  &  \\
\genfrac{}{}{0.0mm}{}{1}{2} \genfrac{}{}{0.0mm}{}{1}{2} \genfrac{}{}{0.0mm}{}{1}{2}  &  \\
-({a}-{b})={b}-{a} &  \\
\frac{2}{5} +\frac{3}{7} =\frac{2\cdot 7+3\cdot 5}{35} =\frac{29}{35}  &  \\
\left| {a}\right| =\left\{  \begin{array}{ccc}
{a} & \mathrm{if} & {a}\geq 0 \\
-{a} & \mathrm{if} & {a}<0 \\
\end{array}\operatorname{}\right.  &  \\
{{a}}^{{n}}=\underset{{n}\mathrm{factors}}{\underbrace{{a}\cdot {a}\cdot {\cdots }\cdot {a}}} &  \\
{\left( \frac{{a}}{{b}} \right) }^{-{n}}={\left( \frac{{b}}{{a}} \right) }^{{n}} &  \\
\sqrt[{n}]{{a}} ={b}\mathrm{means}{{b}}^{{n}}={a}\mathrm{.} &  \\
\sqrt[4]{\frac{16}{81} } =\frac{\sqrt[4]{16} }{\sqrt[4]{81} } =\frac{2}{3}  &  \\
\left\{  {x}\mid {x}\neq 0,{x}\neq 1\right\}   &  \\
{{a}}_{{n}}{{x}}^{{n}}+{{a}}_{{n}-1}{{x}}^{{n}-1}+{\cdots }+{{a}}_{1}{x}+{{a}}_{0} &  \\
{{a}}^{3}-{{b}}^{3}=\left( {a}-{b}\right) \left( {{a}}^{2}+{a}{b}+{{b}}^{2}\right)  &  \\
{({x}+{y})}^{2} &  \\
{H}=\left\{  \left( \begin{array}{cc}
{a} & {b} \\
{c} & {d} \\
\end{array}\right) \in {G}\mid {a}{d}-{b}{c}=1\right\}   &  \\
|{x}|+||{y}||+\{ {z}\} -\lbrack {a}{c}\rbrack +({b})=\lbrack {a},{b}\rbrack  &  \\
{x}=1 &  \\
{x}=1 &  \\
{x}=1 &  \\
{x}=1 &  \\
\left\lbrack  -\frac{10}{3} ,-\frac{7}{3} \right) \cup \left( -\frac{7}{3} ,-\frac{4}{3} \right\rbrack   &  \\
{A}\frac{\partial {u}}{\partial {x}} +{B}\frac{\partial {u}}{\partial {y}} +{C}{u}={E} &  \\
\underset{\mathrm{}}{\overset{\mathrm{}}{\sum }}{x} &  \\
\underset{\begin{array}{c}
1<{i}<10 \\
1<{j}<10 \\
\end{array}}{\overset{\mathrm{}}{\sum }}{2}^{{i}+{j}} &  \\
{{\Gamma }}_{{1}_{{ }^{\begin{array}{c}
{2}_{{ }^{\begin{array}{c}
3 \\
4 \\
\end{array}}}^{\mathrm{}} \\
{5}_{{ }^{\begin{array}{c}
6 \\
7 \\
\end{array}}}^{\mathrm{}} \\
\end{array}}}^{\mathrm{}}}^{{1}^{\begin{array}{c}
{5}^{\begin{array}{c}
7 \\
6 \\
\end{array}} \\
{2}^{\begin{array}{c}
4 \\
3 \\
\end{array}} \\
\end{array}}} &  \\
{y}\left( {x}\right) =\frac{{x}{{e}}^{{x}}-{{e}}^{{x}}+2}{{{e}}^{{x}}} ={x}-1+\frac{2}{{{e}}^{{x}}}  &  \\
\begin{array}{r}
{}_{{x}\operatorname{}{x}}{y}-{y}=0 \\
{y}(0)=1 \\
{{y}}^{\prime }\left( 0\right) =0 \\
\end{array} &  \\
{y}\left( {x}\right) =\frac{1}{3} {{e}}^{-\sqrt[3]{\left( -1\right) } {x}}+\frac{2}{3} {{e}}^{\frac{1}{2} \sqrt[3]{\left( -1\right) } {x}}{cos}\frac{1}{2} \sqrt{3}\sqrt[3]{\left( -1\right) } {x} &  \\
{y}\left( {t}\right) =2{tan}\left( 2{t}-\frac{1}{4} {\pi }\right)  &  \\
{\mathcal{F} }\left( \begin{array}{c}
{{e}}^{2{\pi }{i}{x}} \\
2{\pi }{Dirac}\left( {x}-2{\pi }\right)  \\
\end{array},{x},{s}\right) =\left( \begin{array}{c}
2{\pi }{Dirac}\left( {s}-2{\pi }\right)  \\
2{\pi }{{e}}^{-2{i}{\pi }{s}} \\
\end{array}\right)  &  \\
\begin{array}{c}
{x}=1 \\
{x}+3=123 \\
\end{array} &  \\
\begin{array}{cccc}
{t} & {x} & {y} & {z} \\
0 & 1.0000 & 1.0000 & 1.0000 \\
.1 & 1.1158 & 1.0938 & .8842 \\
.2 & 1.2668 & 1.1695 & .7332 \\
.3 & 1.4582 & 1.2173 & .5418 \\
.4 & 1.6953 & 1.2253 & .3047 \\
.5 & 1.9830 & 1.1791 & .0170 \\
.6 & 2.3256 & 1.0619 & -.3256 \\
.7 & 2.7265 & .8542 & -.7265 \\
.8 & 3.1873 & .5344 & -1.1873 \\
.9 & 3.7077 & .0777 & -1.7077 \\
1.0 & 4.2842 & -.5424 & -2.2842 \\
\end{array} &  \\
{{K}}_{{v}}({z})={{BesselK}}_{{v}}\left( {z}\right)  &  \\
{{z}}^{2}\frac{{}^{2}{w}}{{{z}}^{2}} +{z}\frac{{w}}{{z}} -\left( {{z}}^{2}+{{v}}^{2}\right) {w}=0 &  \\
\frac{{\partial }^{2}{u}({x},{y})}{\partial {{x}}^{2}} -\frac{{\partial }^{2}{u}({x},{y})}{\partial {{y}}^{2}} =0 &  \\
{y}\left( {t},{x}\right) ={{F}}_{1}\left( -{x}-{a}{t}\right) +{{F}}_{2}\left( {x}-{a}{t}\right)  &  \\
\begin{array}{ccc}
1 & 2 & 3 \\
4 & 5 & 6 \\
\end{array} &  \\
2{x}+1=5 &  \\
\begin{array}{c}
1=3 \\
9=7 \\
\end{array} &  \\
\begin{array}{c}
{a}{b} \\
{c}{d} \\
{e}{f} \\
\end{array} &  \\
\begin{array}{c}
{x}+2{y}-3=5 \\
4{x}-{y}-5=98 \\
\end{array} &  \\
\begin{array}{c}
{x}={z} \\
1=3 \\
\end{array} &  \\
\begin{array}{c}
{{A}}_{1}={{N}}_{0}({\lambda };{{\Omega }}^{\prime })-{\varphi }({\lambda };{{\Omega }}^{\prime })\mathrm{,} \\
{{A}}_{2}={\varphi }({\lambda };{{\Omega }}^{\prime })-{\varphi }({\lambda };{\Omega })\mathrm{,} \\
{{A}}_{3}=\mathcal{N}({\lambda };{\omega })\mathrm{.} \\
\end{array} &  \\
\begin{array}{c}
{sin}{\theta } \\
{cos}{\gamma } \\
\end{array} &  \\
{x}=\left\{  \begin{array}{ll}
{x} & \mathrm{if}{x}<0 \\
-{x} & \mathrm{if}{x}\geq 0 \\
\end{array}\right.  &  \\
\begin{array}{c}
{L}{M}{R}{M} \\
{L}{M}{R}{M} \\
\end{array} &  \\
\begin{array}{c}
{M}{A}{T}{H} \\
{M}{A}{T}{H} \\
\end{array} &  \\
\mathrm{\vdots\ } &  \\
\operatorname{\nabla\ \times\ }{F}=0 &  \\
\operatorname{\nabla\ }{F} &  \\
\operatorname{\nabla\ \nabla\ }{F}={\nabla }^{2}{F}+7={A} &  \\
\operatorname{\nabla\ \times\ }({x}{y},{y}{z},{z}{x})=\left\lbrack  \begin{array}{c}
-{y} \\
-{z} \\
-{x} \\
\end{array}\right\rbrack   &  \\
\operatorname{\nabla\ \times\ }({y},{z},{x})=\left( -1,-1,-1\right) \neq 0 &  \\
{x}+{y}+{\alpha }=102 &  \\
\mathrm{a}+\mathrm{b}=\mathrm{c} &  \\
{x}+1 &  \\
{x}+{f}(\mathrm{x})-1=123 &  \\
\mathit{T}\mathit{h}\mathit{e}\mathit{q}\mathit{u}\mathit{i}\mathit{c}\mathit{k}{b}{r}{o}{w}{n}{f}{o}{x}{j}{u}{m}{p}{s}\mathrm{o}\mathrm{v}\mathrm{e}\mathrm{r}{t}{h}{e}\mathsf{l}\mathsf{a}\mathsf{z}\mathsf{y}\mathtt{d}\mathtt{o}\mathtt{g}\mathrm{.}{T}{h}{e}{e}{n}{d}\mathrm{.} &  \\
\left( \frac{\partial {f}}{\partial {{x}}_{1}} \left( {{c}}_{1},{{c}}_{2},{\ldots },{{c}}_{{n}}\right) ,\frac{\partial {f}}{\partial {{x}}_{2}} \left( {{c}}_{1},{{c}}_{2},{\ldots },{{c}}_{{n}}\right) ,{\ldots },\frac{\partial {f}}{\partial {{x}}_{{n}\operatorname{}1}} \left( {{c}}_{1},{{c}}_{2},{\ldots },{{c}}_{{n}}\right) \right)  &  \\
\nabla \left( {c}{u}{v}+{{v}}^{2}{w}\right) =\left( {u}{v},{c}{v},{c}{u}+2{v}{w},{{v}}^{2}\right)  &  \\
\begin{array}{c}
{{D}}_{{u}}{f}\left( {a},{b},{c}\right) =\nabla {f}\left( {a},{b},{c}\right) \cdot \mathrm{u} \\
=\frac{\partial {f}}{\partial {x}} \left( {a},{b},{c}\right) {{u}}_{1}+\frac{\partial {f}}{\partial {y}} \left( {a},{b},{c}\right) {{u}}_{2}+\frac{\partial {f}}{\partial {z}} \left( {a},{b},{c}\right) {{u}}_{3} \\
\end{array} &  \\
{\theta }\in \left\{  {\pi }+2{{X}}_{3}{\pi }-\left( {arccos}\frac{1}{7} \sqrt{14}\right) |{{X}}_{3}\in {\mathbb{Z}}\right\}  ,{\theta }\in \left\{  2{{X}}_{4}{\pi }-{\pi }+\left( {arccos}\frac{1}{7} \sqrt{14}\right) |{{X}}_{4}\in {\mathbb{Z}}\right\}   &  \\
{P}={A}{\left( {{A}}^{{T}}{A}\right) }^{-1}{{A}}^{{T}} &  \\
\det\left( \begin{array}{ccc}
{x} & {y} & 1 \\
{a} & {b} & 1 \\
{a} & {d} & 1 \\
\end{array}\right) ={x}{b}-{x}{d}+{a}{d}-{a}{b}=0 &  \\
{A}\left( {\theta }\right) {A}\left( -{\theta }\right) =\left\lbrack  \begin{array}{cc}
{cos}{\theta } & -{sin}{\theta } \\
{sin}{\theta } & {cos}{\theta } \\
\end{array}\right\rbrack  \left\lbrack  \begin{array}{cc}
{cos}{\theta } & {sin}{\theta } \\
-{sin}{\theta } & {cos}{\theta } \\
\end{array}\right\rbrack   &  \\
{J}({A})=\left\lbrack  \begin{array}{cccc}
{{J}}_{{{n}}_{1}}\left( {{\lambda }}_{1}\right)  & 0 & {\cdots } & 0 \\
0 & {{J}}_{{{n}}_{2}}\left( {{\lambda }}_{2}\right)  & {\cdots } & 0 \\
\mathrm{\vdots\ } & \mathrm{\vdots\ } & \mathrm{\ddots\ } & \mathrm{\vdots\ } \\
0 & 0 & {\cdots } & {{J}}_{{{n}}_{{k}}}\left( {{\lambda }}_{{k}}\right)  \\
\end{array}\right\rbrack   &  \\
\det\left( \begin{array}{ccc}
-4+{X} & -1 & 0 \\
0 & -4+{X} & 0 \\
0 & 0 & -4+{X} \\
\end{array}\right) ={\left( {X}-4\right) }^{3} &  \\
\left\{  \left( \begin{array}{c}
-\frac{1}{2} -\frac{1}{6} \sqrt{33} \\
1 \\
\end{array}\right) \right\}  \leftrightarrow \frac{5}{2} -\frac{1}{2} \sqrt{33} &  \\
\parallel {A}\parallel ={\max}_{{x}\neq 0}\frac{\parallel {A}{x}\parallel }{\parallel {x}\parallel }  &  \\
\left( \begin{array}{cc}
{{a}}_{1\operatorname{}1} & {{a}}_{1\operatorname{}2} \\
{{a}}_{2\operatorname{}1} & {{a}}_{2\operatorname{}2} \\
\end{array}\right) +\left( \begin{array}{cc}
{{b}}_{1\operatorname{}1} & {{b}}_{1\operatorname{}2} \\
{{b}}_{2\operatorname{}1} & {{b}}_{2\operatorname{}2} \\
\end{array}\right) =\left( \begin{array}{cc}
{{a}}_{1\operatorname{}1}+{{b}}_{1\operatorname{}1} & {{a}}_{1\operatorname{}2}+{{b}}_{1\operatorname{}2} \\
{{a}}_{2\operatorname{}1}+{{b}}_{2\operatorname{}1} & {{a}}_{2\operatorname{}2}+{{b}}_{2\operatorname{}2} \\
\end{array}\right)  &  \\
{f}\left( \left\lbrack  \begin{array}{cc}
1 & 2 \\
4 & 3 \\
\end{array}\right\rbrack  \right) ={\left\lbrack  \begin{array}{cc}
1 & 2 \\
4 & 3 \\
\end{array}\right\rbrack  }^{2}-5\left\lbrack  \begin{array}{cc}
1 & 2 \\
4 & 3 \\
\end{array}\right\rbrack  -2=\left\lbrack  \begin{array}{cc}
2 & -2 \\
-4 & 0 \\
\end{array}\right\rbrack   &  \\
{x}={\lim}_{{x}=1}\underset{1}{\overset{2}{\sum }}{a} &  \\
{\int }_{{a}}^{{b}}{f}({x}){x}={\lim}_{\parallel {P}\parallel \rightarrow 0}\underset{{i}=1}{\overset{{n}}{\sum }}{f}\left( {\overline{{x}}}_{{i}}\right) \operatorname{\Delta\ }{{x}}_{{i}} &  \\
{\int }_{{a}}^{{b}}{f}({x}){x}={\lim}_{{n}\rightarrow {\infty }}\frac{{b}-{a}}{{n}} \underset{{i}=1}{\overset{{n}}{\sum }}{f}\left( {a}+{i}\frac{{b}-{a}}{{n}} \right)  &  \\
{\int }_{0}^{2}{{x}}^{5}\sqrt{{{x}}^{3}+1}{x}={\int }_{1}^{3}\frac{2}{3} {u}\frac{\sqrt{\left( {{u}}^{2}\right) }}{{\left( {{u}}^{2}-1\right) }^{\frac{2}{3} }} \left( {{u}}^{2}{\left( {{u}}^{2}-1\right) }^{\frac{2}{3} }-{\left( {{u}}^{2}-1\right) }^{\frac{2}{3} }\right) {u} &  \\
\int {f}({g}({x})){{g}}^{\prime }({x}){x}=\int {f}({u}){u} &  \\
{x}=2\underset{{n}=1}{\overset{100}{\sum }}{n}({n}-1) &  \\
{\lim}_{{x}\rightarrow 0}{sin}\left( \frac{1}{{x}} \right) =-1..1 &  \\
{h}({i},{j})=(2-{j}){g}({i})+({j}-1){f}({g}({i})) &  \\
{\bigtriangleup }:\left\lbrack  0,1\right\rbrack  \rightarrow \left\lbrack  0,1\right\rbrack   &  \\
0\bigtriangledown {x}={x} &  \\
{x}\bigtriangleup {y}={{h}}^{-1}\left( {h}\left( {x}\right) {h}\left( {y}\right) \right)  &  \\
{x}\bigtriangleup {y}={{f}}^{-1}\left( \max\left\{  {f}\left( {x}\right) +{f}\left( {y}\right) -1,0\right\}  \right)  &  \\
{x}\bigtriangledown {y}={\eta }\left( {\eta }\left( {x}\right) \bigtriangleup {\eta }\left( {y}\right) \right)  &  \\
{x}{\bigtriangleup }_{0}{y}=\left\{  \begin{array}{ccc}
{x}\wedge {y} & \mathrm{if} & {x}\vee {y}=1 \\
0 & \mathrm{if} & {x}\vee {y}<1 \\
\end{array}\operatorname{}\right.  &  \\
{\lim}_{{a}\rightarrow {1}^{+}}{{log}}_{{a}}\left\lbrack  1+\frac{\left( {{a}}^{{x}}-1\right) \left( {{a}}^{{y}}-1\right) }{{a}-1} \right\rbrack  ={\lim}_{{a}\rightarrow {1}^{-}}{{log}}_{{a}}\left\lbrack  1+\frac{\left( {{a}}^{{x}}-1\right) \left( {{a}}^{{y}}-1\right) }{{a}-1} \right\rbrack  ={x}{y} &  \\
{g}({x})={exp}\left( -\frac{1-{\left( 1-{x}\right) }^{{a}}}{\left( {2}^{{a}}-1\right) {\left( 1-{x}\right) }^{{a}}} \right)  &  \\
\operatorname{Aut}(\mathrm{I})=\left\{  {f}:\left\lbrack  0,1\right\rbrack  \rightarrow \left\lbrack  0,1\right\rbrack   \left| \begin{array}{l}
{f}\mathrm{is\ one-to-one\ and\ onto,\ and} \\
{x}\leq {y}\mathrm{implies}{f}\left( {x}\right) \leq {f}\left( {y}\right)  \\
\end{array}\operatorname{}\right. \right\}   &  \\
{{x}}^{2}+{{y}}^{2}={{r}}^{2},\mathrm{}{tan}{\theta }=\frac{{y}}{{x}}  &  \\
\sqrt{2}\sqrt{1-{{t}}^{2}} &  \\
\left\lbrack  (2+{sin}{t})10{cos}{t},(2+{cos}{t})10{sin}{t},3{sin}3{t}\right\rbrack   &  \\
\left\{  {t}=0,{s}=0\right\}  ,\left\{  {t}={\pi },{s}={\pi }\right\}   &  \\
\begin{array}{c}
\begin{array}{cccccccccc}
1 & 2 & 3 & 4 & 5 & 6 & 7 & 8 & 9 & 10 \\
2 & 4 & 6 & 8 & 10 & 1 & 3 & 5 & 7 & 9 \\
3 & 6 & 9 & 1 & 4 & 7 & 10 & 2 & 5 & 8 \\
4 & 8 & 1 & 5 & 9 & 2 & 6 & 10 & 3 & 7 \\
5 & 10 & 4 & 9 & 3 & 8 & 2 & 7 & 1 & 6 \\
6 & 1 & 7 & 2 & 8 & 3 & 9 & 4 & 10 & 5 \\
7 & 3 & 10 & 6 & 2 & 9 & 5 & 1 & 8 & 4 \\
8 & 5 & 2 & 10 & 7 & 4 & 1 & 9 & 6 & 3 \\
9 & 7 & 5 & 3 & 1 & 10 & 8 & 6 & 4 & 2 \\
10 & 9 & 8 & 7 & 6 & 5 & 4 & 3 & 2 & 1 \\
\end{array} \\
\end{array} &  \\
\begin{array}{c}
\mathrm{testing}{{x}}^{2}\mathrm{end.} \\
\end{array} &  \\
\begin{array}{c}
\mathrm{x} \\
\end{array} &  \\
\begin{array}{c}
{x} \\
\end{array} &  \\
\begin{array}{c}
\mathrm{x} \\
\end{array} &  \\
\begin{array}{c}
{x} \\
\end{array} &  \\
\frac{{f}}{{x}} ({{x}}_{1})=5 &  \\
\int {x}{x}=\iint {x}{y}{x}{y}=\iiint {x}{y}{z}{x}{y}{z}=\iiiint {x}{y}{z}{t}{x}{y}{z}{t} &  \\
\operatorname{mod}{a} &  \\
5\operatorname{mod}3=2 &  \\
{f}(0)\operatorname{mod}3=1 &  \\
5{x}+4\equiv 8\operatorname{}\left( \operatorname{mod}13\right)  &  \\
{a}=(5-3)/5\operatorname{mod}7=6 &  \\
\left( 2{{x}}^{2}+{x}+2\right) +\left( 2{x}+1\right) \operatorname{mod}3=2{{x}}^{2} &  \\
\begin{array}{ccc}
+ & 0 & 1 \\
000 & 000 & 111 \\
1 & 1 & 0 \\
\end{array} &  \\
4.\, 974\, 9 &  \\
\frac{}{{x}} {F}({x}) &  \\
\left\lbrack  86.333,146.33,129.33\right\rbrack   &  \\
{BinomialDist}({x};{n},{p})=\underset{{k}=0}{\overset{{x}}{\sum }}\left( \genfrac{}{}{0.0mm}{}{{n}}{{k}} \right) {{p}}^{{k}}{{q}}^{{n}-{k}} &  \\
\Pr({X}\leq 54)={BinomialDist}(54;100,.55)=.45846 &  \\
{k}=\max\left\{  \left| \frac{\partial {f}}{\partial {y}} ({x},{y})\right| :({x},{y})\in {D}\right\}  \mathrm{.} &  \\
{m}={\lim}_{{x}\overset{}{\rightarrow }{a}}\frac{{f}({x})-{f}({a})}{{x}-{a}}  &  \\
\left| {A}\right| =\left| \begin{array}{cccccc}
{{a}}_{1\operatorname{}1} & {{a}}_{1\operatorname{}2} & \cdot  & \cdot  & \cdot  & {{a}}_{1\operatorname{}{n}} \\
{{a}}_{2\operatorname{}1} & {{a}}_{2\operatorname{}2} & \cdot  & \cdot  & \cdot  & {{a}}_{2\operatorname{}{n}} \\
\cdot  & \cdot  & \cdot  &   &   & \cdot  \\
\cdot  & \cdot  &   & \cdot  &   & \cdot  \\
\cdot  & \cdot  &   &   & \cdot  & \cdot  \\
{{a}}_{{n}\operatorname{}1} & {{a}}_{{n}\operatorname{}2} & \cdot  & \cdot  & \cdot  & {{a}}_{{n}\operatorname{}{n}} \\
\end{array}\right| ={{a}}_{1\operatorname{}1}{{A}}_{1\operatorname{}1}+{{a}}_{1\operatorname{}2}{{A}}_{1\operatorname{}2}+{\cdots }+{{a}}_{1\operatorname{}{n}}{{A}}_{1\operatorname{}{n}} &  \\
{x}=1(\mathrm{hl\ text}{x}\mathrm{end.}) &  \\
{x}=1(\mathrm{hl\ to\ URI}{x}\mathrm{end}) &  \\
{x}=1(\mathrm{sex}) &  \\
{x}=1(\mathrm{jbm}) &  \\
 &  \\
{f}({x}){g}\lbrack {y}\rbrack {h}\{ {z}\} +\lfloor {a}\rfloor \lceil {b}\rceil \langle {c}\rangle  &  \\
\left. \operatorname{}\frac{123}{\frac{456}{{A}} } \right| \parallel \frac{{A}}{\frac{{B}}{{A}} } \operatorname{}/\frac{1}{\frac{2}{{A}} } /\left( \frac{3}{\frac{4}{{A}} } \right) \updownarrow \frac{5}{\frac{6}{{A}} } \updownarrow \operatorname{}\frac{7}{\frac{8}{{A}} } \operatorname{}\Updownarrow \frac{\frac{9}{20} }{\frac{10}{{A}} } \Updownarrow \uparrow \frac{11}{\frac{12}{{A}} } \uparrow \Uparrow \frac{13}{\frac{14}{{A}} } \Uparrow \downarrow \frac{15}{\frac{16}{{A}} } \downarrow \Downarrow \frac{17}{\frac{18}{{A}} } \Downarrow  &  \\
{x}\begin{array}{cc}
{x} & {x} \\
{x} & {x} \\
\end{array}{x} &  \\
\left( {{a}}_{1},{{a}}_{2},{\ldots },{{a}}_{{n}}\right) \cdot \left( {{b}}_{1},{{b}}_{2},{\ldots },{{b}}_{{n}}\right) ={{a}}_{1}{{b}}_{1}^{*}+{{a}}_{2}{{b}}_{2}^{*}+{\cdots }+{{a}}_{{n}}{{b}}_{{n}}^{*} &  \\
\left\lfloor  \frac{{n}}{5} \right\rfloor  +\left\lfloor  \frac{{n}}{{5}^{2}} \right\rfloor  +\left\lfloor  \frac{{n}}{{5}^{3}} \right\rfloor  +\left\lfloor  \frac{{n}}{{5}^{4}} \right\rfloor  +{\cdots } &  \\
{{x}}_{1}+{\cdots }+{{x}}_{{n}} &  \\
\underset{{k}\mathrm{times}}{\underbrace{{x}+{\cdots }+{x}}} &  \\
\sqrt[{n}]{{{x}}_{1}{{x}}_{2}{\cdots }{{x}}_{{n}}}  &  \\
{n}!=1\times 2\times 3\times 4\times {\cdots }\times {n} &  \\
{P}:{a}={{x}}_{0}<{{x}}_{1}<{{x}}_{2}<{\cdots }<{{x}}_{{n}}={b} &  \\
{f}({x})=\frac{30}{13{cos}{x}} +\frac{10}{3} \sqrt{\left( 100+\frac{9}{{{cos}}^{2}{x}} -\frac{60}{{cos}{x}} {sin}\left( {x}+\frac{29}{90} {\pi }\right) \right) } &  \\
\int {cos}({A}{x}){sin}({B}{x}){x}=\frac{-{cos}({B}-{A}){x}}{2({B}-{A})} +\frac{-{cos}({B}+{A}){x}}{2({B}+{A})} +{C}\mathrm{.} &  \\
235.3+813=1048.\, 3 &  \\
{\max}_{-2\leq {x}\leq 2}\left( {{x}}^{3}-6{x}+3\right) =8.0 &  \\
{x}{decade}=2{century} &  \\
\frac{{}^{5}\left( {{x}}^{7}-3{{x}}^{6}\right) }{{{x}}^{5}} \mathrm{}\frac{{}^{{n}}{sin}{x}}{{{x}}^{{n}}} \mathrm{}\frac{{}^{3}}{{{x}}^{3}} {f}({x})\mathrm{}\frac{{}^{2}}{{{t}}^{2}} \left( 4{{t}}^{5}-3{t}\right)  &  \\
{f}({x})=\frac{30}{13{cos}{x}} +\frac{10}{3} \sqrt{\left( 100+\frac{9}{{{cos}}^{2}{x}} -\frac{60}{{cos}{x}} {sin}\left( {x}+\frac{29}{90} {\pi }\right) \right) } &  \\
{\int }_{{\mathrm{R}}^{3}}\left( \frac{{\left| {{u}}_{1}\right| }^{2}+{\left| \nabla {{u}}_{0}\right| }^{2}}{2} +\frac{{\left| {{u}}_{0}\right| }^{6}}{6} \right) {x}<{\infty } &  \\
\left( \operatorname{\nabla\ \times\ }\mathrm{F}\right) \cdot \mathrm{k}={z}+1 &  \\
{M}\frac{{{M}}^{\frac{{M}}{{M}} }}{{M}}  &  \\
{}_{{x}}{{x}}^{2}\mathrm{}{}_{{x}}\left( {{x}}^{2}\right) \mathrm{}{}_{{x}\operatorname{}{x}}\left( {{x}}^{2}\right) \mathrm{}{}_{{{x}}^{2}}\left( {{x}}^{2}\right) \mathrm{}{}_{{x}\operatorname{}{y}}\left( {{x}}^{2}{{y}}^{3}\right) \mathrm{}{}_{{{x}}^{{s}}\operatorname{}{{y}}^{{t}}}\left( {{x}}^{2}{{y}}^{3}\right)  &  \\
5 \quad24! \quad{{x}}^{6} &  \\
\begin{array}{c}
\begin{array}{cc}
{x}+\sqrt[2]{\frac{{{a}}^{{y}-1}}{12.34} }  & {sin}{\theta } \\
  & 1 \\
\end{array} \\
\end{array} &  \\
\begin{array}{cc}
0 & 1 \\
1 & 0 \\
\end{array} &  \\
\left( \begin{array}{cc}
0 & -{i} \\
{i} & 0 \\
\end{array}\right)  &  \\
\left\lbrack  \begin{array}{cc}
1 & 0 \\
0 & -1 \\
\end{array}\right\rbrack   &  \\
\left| \begin{array}{cc}
{a} & {b} \\
{c} & {d} \\
\end{array}\right|  &  \\
\parallel \begin{array}{ccc}
1 & 0 & 1 \\
0 & 11 &   \\
\end{array}\parallel  &  \\
\begin{array}{ccc}
1 & 2 & 3 \\
4 & 5 &   \\
\end{array} &  \\
\mathrm{testing}\begin{array}{c}
{sin}{\theta } \\
\end{array} &  \\
\widehat{{a}}+\check{{b}}+\widetilde{{c}}+\acute{{d}}+\grave{{e}}+\breve{{f}}+\overline{{g}}+{h}+\overset{}{{i}} +\overset{}{{j}} +\overset{"}{{k}} +\overset{\dddot{} }{{l}} +\overset{\ddddot{} }{{m}} +\overset{\rightarrow }{{n}}  &  \\
{f}({g}({x}))={{sin}}^{3}{{x}}^{2}+{sin}{{x}}^{2}{sin}\left( {sin}{{x}}^{2}\right)  &  \\
\left( {{x}}^{2}+12\right) +1234 &  \\
\begin{array}{ccc}
{x}=1 & \mathrm{not} & \mathrm{here} \\
{{x}}^{2} & \mathrm{merged} & {{y}}_{1} \\
\mathrm{jbm} & \mathrm{lowlife} & \mathrm{The\ end.} \\
\end{array} &  \\
{{x}}^{2}+{{y}}^{2}={{z}}^{2}-1 &  \\
\begin{array}{c}
{{x}}^{2}+{{y}}^{2}={{z}}^{2}-1 \\
{x}+{{y}}^{3}={{z}}^{3} \\
\end{array} &  \\
\begin{array}{c}
{{x}}^{2}+{{y}}^{2}={{z}}^{2}-1 \\
{x}+{{y}}^{3}={{z}}^{3} \\
\end{array} &  \\
\begin{array}{c}
{{x}}^{2}+{{y}}^{2}=1 \\
{x}=\sqrt{1-{{y}}^{2}} \\
\end{array} &  \\
\begin{array}{c}
{({a}+{b})}^{2}={{a}}^{2}+2{a}{b}+{{b}}^{2} \\
({a}+{b})\cdot ({a}-{b})={{a}}^{2}-{{b}}^{2} \\
\end{array} &  \\
\begin{array}{c}
\mathrm{First\ line\ of\ equation} \\
\mathrm{Middle\ line\ of\ equation} \\
\mathrm{Other\ middle\ line\ of\ equation} \\
\mathrm{Last\ line\ of\ equation} \\
\end{array} &  \\
\begin{array}{c}
{{L}}_{1}={{R}}_{1}\mathrm{}{{L}}_{2}={{R}}_{2} \\
{{L}}_{3}={{R}}_{3}\mathrm{}{{L}}_{4}={{R}}_{4} \\
\end{array} &  \\
\begin{array}{c}
{({a}+{b})}^{4}={({a}+{b})}^{2}{({a}+{b})}^{2} \\
=({{a}}^{2}+2{a}{b}+{{b}}^{2})({{a}}^{2}+2{a}{b}+{{b}}^{2}) \\
={{a}}^{4}+4{{a}}^{3}{b}+6{{a}}^{2}{{b}}^{2}+4{a}{{b}}^{3}+{{b}}^{4} \\
\end{array} &  \\
\begin{array}{c}
{{x}}^{2}+{{y}}^{2}=1 \\
{x}=\sqrt{1-{{y}}^{2}} \\
\end{array}\mathrm{}\begin{array}{c}
{({a}+{b})}^{2}={{a}}^{2}+2{a}{b}+{{b}}^{2} \\
({a}+{b})\cdot ({a}-{b})={{a}}^{2}-{{b}}^{2} \\
\end{array} &  \\
\begin{array}{cc}
\mathrm{Vertex} & {V}(0,0) \\
\mathrm{Focus} & {F}(0,{p}) \\
\mathrm{Directrix} & {y}=-{p} \\
\end{array} &  \\
\frac{}{{x}} \mathrm{\,\ \,\ }({{csc}}^{-1}{x})=-\frac{1}{\left| {x}\right| \sqrt{{{x}}^{2}-1}}  &  \\
{{tanh}}^{-1}{x}=\frac{1}{2} {ln}\left( \frac{1+{x}}{1-{x}} \right) \mathrm{}-1<{x}<1 &  \\
{\angle }{\alpha }+{\angle }{A}{B}{C}+{\angle }1={\vartriangle }{a}{b}{c} &  \\
{y}={{e}}^{-\int {P}{x}}\left\lbrack  \int {{e}}^{\int {P}{x}}{Q}{x}+{c}\right\rbrack   &  \\
{x}=1+{{y}}^{3} & {x}=1+{y} \\
\operatorname{\$\ }1.00+25\operatorname{C/}-3\operatorname{\pounds\ }+2.45\operatorname{}-0.7\operatorname{Y=}-{a}\operatorname{ECU}+20\operatorname{FF}+30\operatorname{L}-4.56\operatorname{Pts} &  \\
\begin{array}{c}
2{x}+{y}=3 \\
3{x}-4{y}=5 \\
{a}+{b}={c}+12345 \\
\end{array} &  \\
\begin{array}{ccccccc}
\mathrm{Unrestricted} & \mathrm{} & \mathrm{Symmetric} & \mathrm{} & \mathrm{Antisymmetric} & \mathrm{} & \mathrm{Triangular} \\
\end{array} &  \\
{a}\neq {b}\neq {x} &  \\
{c}\nless {d}\nless {y} &  \\
{e}\ngtr {f}\ngtr 11 &  \\
{g}\notin {h}\notin {Z} &  \\
{k}\nsim {l}\nsim 3 &  \\
{A}{B}\subset {C} &  \\
{A}\nsubseteq {B}\nsubseteq {C} &  \\
1011\equiv 12 &  \\
{x}\operatorname{\nleq\ {}}{y}\operatorname{\nleq\ {}}{z} &  \\
\overline{{lim}}{x} &  \\
\underset{\operatorname{\underline{}\ }}{{lim}}{x} &  \\
\underset{\rightarrow }{{lim}} {x} &  \\
\underset{\leftarrow }{{lim}} {x} &  \\
\begin{array}{c}
{x}={y}+{z} \\
={k}+{m} \\
\end{array} &  \\
\begin{array}{l}
\mathrm{College\ Algebra}\mathrm{Second\ Edition} \\
\mathrm{James\ Stewart}\mathrm{McMaster\ Universitiy} \\
\mathrm{Lothar\ Redlin}\mathrm{Pennsylvania\ State\ University} \\
\mathrm{Saleem\ Watson}\mathrm{California\ State\ University,\ Long\ Beach} \\
\mathrm{Copyright\ 1996,\ ISBN\ 0\ 534-33983-2} \\
\mathrm{Brooks/Cole\ Publishing\ Company} \\
\mathrm{An\ International\ Thomson\ Publishing\ Company} \\
\end{array}  &  \\
\left\{  \frac{\frac{1}{2} }{\frac{1}{2} } \uparrow \underset{1}{\overset{2}{\sum }}\right\}   &  \\
\left\langle  \frac{\frac{1}{2} }{\frac{1}{2} } |\underset{1}{\overset{2}{\sum }}\right\rangle   &  \\
\left\lceil  \frac{\frac{1}{2} }{\frac{1}{2} } |\underset{1}{\overset{2}{\sum }}\right\rceil   &  \\
\Downarrow \frac{\frac{1}{2} }{\frac{1}{2} } \updownarrow \underset{1}{\overset{2}{\sum }}\Downarrow  &  \\
\left\lbrack  \frac{\frac{1}{2} }{\frac{1}{2} } \right\rbrack   &  \\
\left( \frac{\frac{1}{2} }{\frac{1}{2} } \right)  &  \\
\left\{  \frac{\frac{1}{2} }{\frac{1}{2} } \right\}   &  \\
\left\langle  \frac{\frac{1}{2} }{\frac{1}{2} } \right\rangle   &  \\
\left\lfloor  \frac{\frac{1}{2} }{\frac{1}{2} } \right\rfloor   &  \\
\left\lceil  \frac{\frac{1}{2} }{\frac{1}{2} } \right\rceil   &  \\
\uparrow \frac{\frac{1}{2} }{\frac{1}{2} } \uparrow  &  \\
\downarrow \frac{\frac{1}{2} }{\frac{1}{2} } \downarrow  &  \\
\updownarrow \frac{\frac{1}{2} }{\frac{1}{2} } \updownarrow  &  \\
\Uparrow \frac{\frac{1}{2} }{\frac{1}{2} } \Uparrow  &  \\
\Downarrow \frac{\frac{1}{2} }{\frac{1}{2} } \Downarrow  &  \\
\Updownarrow \frac{\frac{1}{2} }{\frac{1}{2} } \Updownarrow  &  \\
\operatorname{}\frac{\frac{1}{2} }{\frac{1}{2} } \operatorname{} &  \\
\operatorname{\backslash\ arrowvert}\frac{\frac{1}{2} }{\frac{1}{2} } \operatorname{\backslash\ arrowvert} &  \\
\operatorname{\backslash\ Arrowvert}\frac{\frac{1}{2} }{\frac{1}{2} } \operatorname{\backslash\ Arrowvert} &  \\
\operatorname{\backslash\ bracevert}\frac{\frac{1}{2} }{\frac{1}{2} } \operatorname{\backslash\ bracevert} &  \\
\left| \frac{\frac{1}{2} }{\frac{1}{2} } \right|  &  \\
\left| \frac{\frac{1}{2} }{\frac{1}{2} } \right|  &  \\
\left| \frac{\frac{1}{2} }{\frac{1}{2} } \right|  &  \\
\parallel \frac{\frac{1}{2} }{\frac{1}{2} } \parallel  &  \\
\parallel \frac{\frac{1}{2} }{\frac{1}{2} } \parallel  &  \\
/\frac{\frac{1}{2} }{\frac{1}{2} } / &  \\
\backslash \frac{\frac{1}{2} }{\frac{1}{2} } \backslash  &  \\
\operatorname{}\frac{\frac{1}{2} }{\frac{1}{2} } \operatorname{} &  \\
\operatorname{\backslash\ lgroup}\frac{\frac{1}{2} }{\frac{1}{2} } \operatorname{\backslash\ rgroup} &  \\
\operatorname{}\frac{\frac{1}{2} }{\frac{1}{2} } \operatorname{} &  \\
\operatorname{}\frac{\frac{1}{2} }{\frac{1}{2} } \operatorname{} &  \\
{A}\underset{ }{\overset{{n}+{\mu }-1}{\leftarrow }}{B}\underset{{T}}{\overset{{n}\pm {i}-1}{\rightarrow }}{C} &  \\
\frac{1}{\sqrt{2}+\frac{1}{\sqrt{3}+\frac{1}{\sqrt{4}+\frac{1}{\sqrt{5}+\frac{1}{\sqrt{6}+{\ldots }} } } } }  &  \\
\frac{1}{\sqrt{2}+\frac{1}{\sqrt{3}+\frac{1}{\sqrt{4}+\frac{1}{\sqrt{5}+\frac{1}{\sqrt{6}+{\ldots }} } } } }  &  \\
\left( \genfrac{}{}{0.0mm}{}{{sin}{\theta }}{{M}} \right\rfloor   &  \\
\left( \genfrac{}{}{0.0mm}{}{{sin}{\theta }}{{M}} \right\rfloor   &  \\
\left( \genfrac{}{}{0.0mm}{}{{sin}{\theta }}{{M}} \right\rfloor   &  \\
\left( \frac{{sin}{\theta }}{{M}} \right\rfloor   &  \\
\left( \frac{{sin}{\theta }}{{M}} \right\rfloor   &  \\
\left( \frac{{sin}{\theta }}{{M}} \right\rfloor   &  \\
\left( \frac{{sin}{\theta }}{{M}} \right\rfloor   &  \\
\left( \frac{{sin}{\theta }}{{M}} \right\rfloor   &  \\
\left( \frac{{sin}{\theta }}{{M}} \right\rfloor   &  \\
\genfrac{}{}{0.0mm}{}{{sin}{\theta }}{{M}}  &  \\
\genfrac{}{}{0.0mm}{}{{sin}{\theta }}{{M}}  &  \\
\genfrac{}{}{0.0mm}{}{{sin}{\theta }}{{M}}  &  \\
\frac{{sin}{\theta }}{{M}}  &  \\
\frac{{sin}{\theta }}{{M}}  &  \\
\frac{{sin}{\theta }}{{M}}  &  \\
\frac{{sin}{\theta }}{{M}}  &  \\
\frac{{sin}{\theta }}{{M}}  &  \\
\frac{{sin}{\theta }}{{M}}  &  \\
\end{array}