Difference between revisions of "Team:Tongji-Software/Template:Example Math"

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<span>$$\hat p=\sigma(\theta^T \cdot x_b)=\frac{1}{1+\mathbf{e}^{-{\theta^{T \cdot x_b}}}}$$</span>
 
<span>$$\hat p=\sigma(\theta^T \cdot x_b)=\frac{1}{1+\mathbf{e}^{-{\theta^{T \cdot x_b}}}}$$</span>
  
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<span>\[f{\rm{(r) = }}\frac{{{{\rm{e}}^{ - {\Delta _r}{G^{' \circ /RT}}}}}}{{{\rm{ 1  +  }}{{\rm{e}}^{ - {\Delta _r}{G^{' \circ /RT}}}} + \sum\nolimits_{{r^'} \in {R_N}} {{{\rm{e}}^{ - {\Delta _{{r^'}}}{G^{' \circ /RT}}}}} }}\begin{array}{*{20}{c}}{}&{}\end{array}{r^'} \ne r\]</span>
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\[{\sum\nolimits_{{r^'} \in {\complement _{{{\text{R}}_N}}}\{ r\} } {{{\text{e}}^{ - {\Delta _{{r^'}}}{G^{' \circ /RT}}}}} }\]]</span>
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</body>
 
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</html>
 
</html>

Revision as of 16:48, 13 October 2018

Get the power of blast

Where:

$$X=[x_1,\ x_2,\ x_3,\ ...,\ x_n]^T$$ $$W=[w_1,\ w_2,\ w_3,\ ...,\ w_n]^T$$ $$\varepsilon=[\varepsilon_1,\ \varepsilon_2,\ \varepsilon_3,\ ...,\ \varepsilon_n]^T$$

  The aim is to search for the best W that minimize the mean of e.

\[{e^{-\Delta{r}{G^{'\circ}}/RT}}\] $$\hat p=\sigma(\theta^T \cdot x_b)=\frac{1}{1+\mathbf{e}^{-{\theta^{T \cdot x_b}}}}$$ \[f{\rm{(r) = }}\frac{{{{\rm{e}}^{ - {\Delta _r}{G^{' \circ /RT}}}}}}{{{\rm{ 1 + }}{{\rm{e}}^{ - {\Delta _r}{G^{' \circ /RT}}}} + \sum\nolimits_{{r^'} \in {R_N}} {{{\rm{e}}^{ - {\Delta _{{r^'}}}{G^{' \circ /RT}}}}} }}\begin{array}{*{20}{c}}{}&{}\end{array}{r^'} \ne r\]