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      \[X = 2 \left( x+23 \right) \]


 









\begin{dmath*}CFA=\frac{\partial \left(CTh(D)\right)}{\partial z} \mathop{\int} \limits_{0}^{D} \left(\uplambda _{234} \times Def(z)\right)dz+\uplambda _{234} \times Def(D)\times CTh(D)

\end{dmath*}



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\hspace*{-3dm}\displaystyle X \left( t \right) &= \left(- 87.5 \left(0.0009549 t - 1\right)^{2} + \left(16 \left(\left(\left(\sin{\left(4 \left(1.0 t \bmod 6.283\right) \right)}\right) + 1\right)^{1.2}\right)\right) + \left(0.8106 \left(\operatorname{acos}^{2}{\left(\cos{\left(- 0.0191 t + \left(2.935 \cos{\left(0.00382 t \right)} \left(\cos{\left(5 \left(1.0 t \b mod 6.283\right) \right)}\right)\right) + \left(6.875 \cos{\left(0.008594 t \right)} \left(\cos{\left(4 \left(1.0 t \bmod 6.283\right) \right)}\right)\right) + \left(0.3222 \cos{\left(0.01337 t \right)} \left(\cos{\left(3 \left(1.0 t \bmod 6.283\right) \right)}\right)\right) - \left(40.0 \left(1.0 t \bmod 6.283\right)\right) \right)} \right)}\right)\right) + 300\right) \cos{\left(t \right)}





 


 


 


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\hspace*{-3em}</span><span class="hljs-keyword">\displaystyle</span></code>  <code class="hljs language-latex" data-highlighted="yes"> P<span class="hljs-built_in">^</span>{}<span class="hljs-built_in">_</span>{5,<span class="hljs-keyword">\,</span><span class="hljs-keyword">\mathrm</span>{avg},<span class="hljs-keyword">\,</span> <span class="hljs-keyword">\mathrm</span>{var}1}(T<span class="hljs-built_in">_</span>1)  = ( <span class="hljs-keyword">\lambda</span> <span class="hljs-built_in">_</span>{DU}+<span class="hljs-keyword">\lambda</span> <span class="hljs-built_in">_</span>{DD} ) <span class="hljs-keyword">\lambda</span> <span class="hljs-built_in">_</span>{DR}T<span class="hljs-built_in">_</span>{1} +<span class="hljs-keyword">\biggl</span>(  <span class="hljs-keyword">\biggl</span>( -<span class="hljs-keyword">\frac</span>{1}{2}<span class="hljs-keyword">\mu</span> <span class="hljs-built_in">_</span>{0}<span class="hljs-keyword">\lambda</span> <span class="hljs-built_in">_</span>{DD}-<span class="hljs-keyword">\frac</span>{1}{3}{<span class="hljs-keyword">\lambda</span> <span class="hljs-built_in">_</span>{DD}}<span class="hljs-built_in">^</span>{2} -<span class="hljs-keyword">\lambda</span> <span class="hljs-built_in">_</span>{DU}<span class="hljs-keyword">\lambda</span> <span class="hljs-built_in">_</span>{DD}-<span class="hljs-keyword">\frac</span>{1}{4}<span class="hljs-keyword">\lambda</span> <span class="hljs-built_in">_</span>{DD}<span class="hljs-keyword">\mu</span> <span class="hljs-built_in">_</span>{DR} -<span class="hljs-keyword">\frac</span>{1}{5}{<span class="hljs-keyword">\lambda</span> <span class="hljs-built_in">_</span>{DU}}<span class="hljs-built_in">^</span>{2}-<span class="hljs-keyword">\frac</span>{1}{6}<span class="hljs-keyword">\lambda</span> <span class="hljs-built_in">_</span>{DU}<span class="hljs-keyword">\mu</span> <span class="hljs-built_in">_</span>{DR} -<span class="hljs-keyword">\frac</span>{1}{7}<span class="hljs-keyword">\mu</span> <span class="hljs-built_in">_</span>{LT}<span class="hljs-keyword">\lambda</span> <span class="hljs-built_in">_</span>{DU} <span class="hljs-keyword">\biggr</span>) <span class="hljs-keyword">\lambda</span> <span class="hljs-built_in">_</span>{DR} -<span class="hljs-keyword">\biggl</span>( <span class="hljs-keyword">\frac</span>{1}{8}<span class="hljs-keyword">\lambda</span> <span class="hljs-built_in">_</span>{DU}+<span class="hljs-keyword">\frac</span>{1}{9}<span class="hljs-keyword">\lambda</span> <span class="hljs-built_in">_</span>{DD} <span class="hljs-keyword">\biggr</span>)   {<span class="hljs-keyword">\lambda</span> <span class="hljs-built_in">_</span>{DR}}<span class="hljs-built_in">^</span>{2} <span class="hljs-keyword">\biggr</span>) {T<span class="hljs-built_in">_</span>{1}}<span class="hljs-built_in">^</span>{2} + <span class="hljs-keyword">\biggl</span>(  <span class="hljs-keyword">\biggl</span>( <span class="hljs-keyword">\frac</span>{1}{10}<span class="hljs-keyword">\lambda</span> <span class="hljs-built_in">_</span>{DD}{<span class="hljs-keyword">\mu</span> <span class="hljs-built_in">_</span>{0}}<span class="hljs-built_in">^</span>{2} +<span class="hljs-keyword">\frac</span>{1}{20}<span class="hljs-keyword">\mu</span> <span class="hljs-built_in">_</span>{0}{<span class="hljs-keyword">\lambda</span> <span class="hljs-built_in">_</span>{DD}}<span class="hljs-built_in">^</span>{2}  +<span class="hljs-keyword">\frac</span>{1}{30}<span class="hljs-keyword">\mu</span> <span class="hljs-built_in">_</span>{0}<span class="hljs-keyword">\lambda</span> <span class="hljs-built_in">_</span>{DU}<span class="hljs-keyword">\lambda</span> <span class="hljs-built_in">_</span>{DD}+<span class="hljs-keyword">\frac</span>{1}{40}{<span class="hljs-keyword">\lambda</span> <span class="hljs-built_in">_</span>{DD}}<span class="hljs-built_in">^</span>{3} +<span class="hljs-keyword">\frac</span>{1}{50}<span class="hljs-keyword">\lambda</span> <span class="hljs-built_in">_</span>{DU}{<span class="hljs-keyword">\lambda</span> <span class="hljs-built_in">_</span>{DD}}<span class="hljs-built_in">^</span>{2}+<span class="hljs-keyword">\frac</span>{1}{60}{<span class="hljs-keyword">\lambda</span> <span class="hljs-built_in">_</span>{DD}}<span class="hljs-built_in">^</span>{2}<span class="hljs-keyword">\mu</span> <span class="hljs-built_in">_</span>{DR}  +<span class="hljs-keyword">\frac</span>{1}{70}{<span class="hljs-keyword">\lambda</span> <span class="hljs-built_in">_</span>{DU}}<span class="hljs-built_in">^</span>{2}<span class="hljs-keyword">\lambda</span> <span class="hljs-built_in">_</span>{DD}+<span class="hljs-keyword">\frac</span>{1}{80}<span class="hljs-keyword">\lambda</span> <span class="hljs-built_in">_</span>{DU}<span class="hljs-keyword">\lambda</span> <span class="hljs-built_in">_</span>{DD}<span class="hljs-keyword">\mu</span> <span class="hljs-built_in">_</span>{DR} +<span class="hljs-keyword">\frac</span>{1}{90}<span class="hljs-keyword">\lambda</span> <span class="hljs-built_in">_</span>{DD}<span class="hljs-keyword">\mu</span> <span class="hljs-built_in">_</span>{LT}<span class="hljs-keyword">\lambda</span> <span class="hljs-built_in">_</span>{DU}+<span class="hljs-keyword">\frac</span>{1}{100}<span class="hljs-keyword">\lambda</span> <span class="hljs-built_in">_</span>{DD}{<span class="hljs-keyword">\mu</span> <span class="hljs-built_in">_</span>{DR}}<span class="hljs-built_in">^</span>{2}  +<span class="hljs-keyword">\frac</span>{1}{110}{<span class="hljs-keyword">\lambda</span> <span class="hljs-built_in">_</span>{DU}}<span class="hljs-built_in">^</span>{3}+<span class="hljs-keyword">\frac</span>{1}{120}{<span class="hljs-keyword">\lambda</span> <span class="hljs-built_in">_</span>{DU}}<span class="hljs-built_in">^</span>{2}<span class="hljs-keyword">\mu</span> <span class="hljs-built_in">_</span>{DR}  +<span class="hljs-keyword">\frac</span>{1}{130}<span class="hljs-keyword">\mu</span> <span class="hljs-built_in">_</span>{LT}{<span class="hljs-keyword">\lambda</span> <span class="hljs-built_in">_</span>{DU}}<span class="hljs-built_in">^</span>{2}+<span class="hljs-keyword">\frac</span>{1}{140}<span class="hljs-keyword">\lambda</span> <span class="hljs-built_in">_</span>{DU}{<span class="hljs-keyword">\mu</span> <span class="hljs-built_in">_</span>{DR}}<span class="hljs-built_in">^</span>{2}   +<span class="hljs-keyword">\frac</span>{1}{150}{<span class="hljs-keyword">\mu</span> <span class="hljs-built_in">_</span>{LT}}<span class="hljs-built_in">^</span>{2}<span class="hljs-keyword">\lambda</span> <span class="hljs-built_in">_</span>{DU} <span class="hljs-keyword">\biggr</span>) <span class="hljs-keyword">\lambda</span> <span class="hljs-built_in">_</span>{DR}  +<span class="hljs-keyword">\biggl</span>( <span class="hljs-keyword">\frac</span>{1}{160}<span class="hljs-keyword">\lambda</span> <span class="hljs-built_in">_</span>{DD}<span class="hljs-keyword">\mu</span> <span class="hljs-built_in">_</span>{0}+<span class="hljs-keyword">\frac</span>{1}{170}{<span class="hljs-keyword">\lambda</span> <span class="hljs-built_in">_</span>{DD}}<span class="hljs-built_in">^</span>{2} +<span class="hljs-keyword">\frac</span>{1}{180}<span class="hljs-keyword">\lambda</span> <span class="hljs-built_in">_</span>{DU}<span class="hljs-keyword">\lambda</span> <span class="hljs-built_in">_</span>{DD}+<span class="hljs-keyword">\frac</span>{1}{190}<span class="hljs-keyword">\lambda</span> <span class="hljs-built_in">_</span>{DD}<span class="hljs-keyword">\mu</span> <span class="hljs-built_in">_</span>{DR}  +<span class="hljs-keyword">\frac</span>{1}{200}{<span class="hljs-keyword">\lambda</span> <span class="hljs-built_in">_</span>{DU}}<span class="hljs-built_in">^</span>{2}+<span class="hljs-keyword">\frac</span>{1}{210}<span class="hljs-keyword">\lambda</span> <span class="hljs-built_in">_</span>{DU}<span class="hljs-keyword">\mu</span> <span class="hljs-built_in">_</span>{DR}  +<span class="hljs-keyword">\frac</span>{1}{220}<span class="hljs-keyword">\mu</span> <span class="hljs-built_in">_</span>{LT}<span class="hljs-keyword">\lambda</span> <span class="hljs-built_in">_</span>{DU} <span class="hljs-keyword">\biggr</span>) {<span class="hljs-keyword">\lambda</span> <span class="hljs-built_in">_</span>{DR}}<span class="hljs-built_in">^</span>{2}  +<span class="hljs-keyword">\biggl</span>(<span class="hljs-keyword">\frac</span>{1}{230} <span class="hljs-keyword">\lambda</span> <span class="hljs-built_in">_</span>{DU}+<span class="hljs-keyword">\frac</span>{1}{240}<span class="hljs-keyword">\lambda</span> <span class="hljs-built_in">_</span>{DD}<span class="hljs-keyword">\biggr</span>)   {<span class="hljs-keyword">\lambda</span> <span class="hljs-built_in">_</span>{DR}}<span class="hljs-built_in">^</span>{3} <span class="hljs-keyword">\biggr</span>) {T<span class="hljs-built_in">_</span>{1}}<span class="hljs-built_in">^</span>{3}. <span class="hljs-built_in">




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LaTex2HTML


\begin{rem}

X \left( t \right) &= \left(- 87.5 \left(0.0009549 t - 1\right)^{2} + \left(16 \left(\left(\left(\sin{\left(4 \left(1.0 t \bmod 6.283\right) \right)}\right) + 1\right)^{1.2}\right)\right) + \left(0.8106 \left(\operatorname{acos}^{2}{\left(\cos{\left(- 0.0191 t + \left(2.935 \cos{\left(0.00382 t \right)} \left(\cos{\left(5 \left(1.0 t \bmod 6.283\right) \right)}\right)\right) + \left(6.875 \cos{\left(0.008594 t \right)} \left(\cos{\left(4 \left(1.0 t \bmod 6.283\right) \right)}\right)\right) + \left(0.3222 \cos{\left(0.01337 t \right)} \left(\cos{\left(3 \left(1.0 t \bmod 6.283\right) \right)}\right)\right) - \left(40.0 \left(1.0 t \bmod 6.283\right)\right) \right)} \right)}\right)\right) + 300\right) \cos{\left(t \right)} \$ \end{rem} <h1>YoungWhan's Simple LaTex</h1> <img src="https://redshaw.consulting/wp-content/ql-cache/quicklatex.com-720c379763bd8bff965e8b7d9d8d70c5_l3.png" class="ql-img-inline-formula quicklatex-auto-format" alt=" X \left( t \right) &= \left(- 87.5 \left(0.0009549 t - 1\right)^{2} " title="Rendered by QuickLaTeX.com" height="57" width="455" style="vertical-align: -21px;"/> <img src="https://redshaw.consulting/wp-content/ql-cache/quicklatex.com-a1b141ca80abf39ea2cdc54db561c26c_l3.png" class="ql-img-inline-formula quicklatex-auto-format" alt="+ \left(16 \left(\left(\left(\sin{\left(4 \left(1.0 t \bmod 6.283\right) \right)}\right) " title="Rendered by QuickLaTeX.com" height="32" width="442" style="vertical-align: -8px;"/> <img src="https://redshaw.consulting/wp-content/ql-cache/quicklatex.com-bc135e3f56edb5634056a0a9178e5852_l3.png" class="ql-img-inline-formula quicklatex-auto-format" alt="+ 1\right)^{1.2}\right)\right) + \left(0.8106 \left(\operatorname{acos}^{2}{\left(\cos{\left(- 0.0191 t " title="Rendered by QuickLaTeX.com" height="37" width="507" style="vertical-align: -10px;"/> <img src="https://redshaw.consulting/wp-content/ql-cache/quicklatex.com-8849aeb431e12dcb45e4a53e354d9e20_l3.png" class="ql-img-inline-formula quicklatex-auto-format" alt="+ \left(2.935 \cos{\left(0.00382 t \right)} \left(\cos{\left(5 \left(1.0 t \bmod 6.283\right) \right)}\right)\right) " title="Rendered by QuickLaTeX.com" height="32" width="666" style="vertical-align: -8px;"/> <img src="https://redshaw.consulting/wp-content/ql-cache/quicklatex.com-84ce765c73c446c6c460e1b32f9e1b62_l3.png" class="ql-img-inline-formula quicklatex-auto-format" alt="+ \left(6.875 \cos{\left(0.008594 t \right)} \left(\cos{\left(4 \left(1.0 t \bmod 6.283\right) \right)}\right)\right) " title="Rendered by QuickLaTeX.com" height="32" width="682" style="vertical-align: -8px;"/> <img src="https://redshaw.consulting/wp-content/ql-cache/quicklatex.com-24f62d89b82dddd73a8abe7846f37d16_l3.png" class="ql-img-inline-formula quicklatex-auto-format" alt="+ \left(0.3222 \cos{\left(0.01337 t \right)} \left(\cos{\left(3 \left(1.0 t \bmod 6.283\right) \right)}\right)\right) " title="Rendered by QuickLaTeX.com" height="32" width="682" style="vertical-align: -8px;"/> <img src="https://redshaw.consulting/wp-content/ql-cache/quicklatex.com-3dbb4f3777d66cff642f17a0cb8f0aa1_l3.png" class="ql-img-inline-formula quicklatex-auto-format" alt="- \left(40.0 \left(1.0 t \bmod 6.283\right)\right) \right)} \right)}\right)\right) + 300\right) \cos{\left(t \right)} \\ " title="Rendered by QuickLaTeX.com" height="32" width="514" style="vertical-align: 31px;"/> <h1>Built-In LaTex Support</h1>latex i\hbar\frac{\partial}{\partial t}\left|\Psi(t)\right>=H\left|\Psi(t)\right>$