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

 
(47 intermediate revisions by the same user not shown)
Line 19: Line 19:
 
<style>
 
<style>
 
.equation{
 
.equation{
−
font-size:20px;
+
font-size:0.1px;
  
 
}
 
}
Line 37: Line 37:
 
                         <p>&emsp;&emsp;The aim is to search for the best W that minimize the mean of e.</p>
 
                         <p>&emsp;&emsp;The aim is to search for the best W that minimize the mean of e.</p>
  
−
<span>\[{e^{{\rm{ - }}\Delta {\rm{r}}{G^{' \circ }}/RT}}\]</span>
+
<span>\[{e^{-\Delta{r}{G^{'\circ}}/RT}}\]</span>
 
<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>
  
−
<span>\begin{small}\[f{\rm{(r)  =  }}\frac{{{\rm{ }}{{\rm{e}}^{ - {\Delta _r}{G^{' \circ /RT}}}}}}{{{\rm{ 1  +  }}{{\rm{e}}^{ - {\Delta _r}{G^{' \circ /RT}}}} + {\rm{ }}\sum {{r^'} \in {R_N}\backslash {{\left\{ r \right\}}^{{\rm{ }}{{\rm{e}}^{ - {\Delta _r}{G^{' \circ /RT}}}}}}} }}\]</span>
+
<span>\[{\sum\nolimits_{{r^'}} {{{\rm{e}}^{ - {\Delta _{{r^'}}}{G^{' \circ /RT}}}}} }\]</span>
−
<span>% MathType!MTEF!2!1!+-
+
−
% feaagKart1ev2aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn
+
−
% hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr
+
−
% 4rNCHbWexLMBbXgBd9gzLbvyNv2CaeHbl7mZLdGeaGqiVu0Je9sqqr
+
−
% pepC0xbbL8F4rqqrFfpeea0xe9Lq-Jc9vqaqpepm0xbba9pwe9Q8fs
+
−
% 0-yqaqpepae9pg0FirpepeKkFr0xfr-xfr-xb9adbaqaaeGaciGaai
+
−
% aabeqaamaabaabauaakeaacaWGMbGaaeikaiaabkhacaqGPaGaaeii
+
−
% aiaab2dacaqGGaWaaSaaaeaacaqGGaGaaeyzamaaCaaaleqabaGaey
+
−
% OeI0IaeyiLdq0aaSbaaWqaaiaadkhaaeqaaSGaam4ramaaCaaameqa
+
−
% baGaai4jaiablIHiVjaac+cacaWGsbGaamivaaaaaaaakeaacaqGGa
+
−
% GaaeymaiaabccacaqGRaGaaeiiaiaabwgadaahaaWcbeqaaiabgkHi
+
−
% Tiabgs5aenaaBaaameaacaWGYbaabeaaliaadEeadaahaaadbeqaai
+
−
% aacEcacqWIyiYBcaGGVaGaamOuaiaadsfaaaaaaOGaey4kaSIaaeii
+
−
% amaaqaeabaGaamOCamaaCaaaleqabaGaai4jaaaakiabgIGiolaadk
+
−
% fadaWgaaWcbaGaamOtaaqabaGccaGGCbWaaiWaaeaacaWGYbaacaGL
+
−
% 7bGaayzFaaWaaWbaaSqabeaacaqGGaGaaeyzamaaCaaameqabaGaey
+
−
% OeI0IaeyiLdq0aaSbaaeaacaWGYbaabeaacaWGhbWaaWbaaeqabaGa
+
−
% ai4jaiablIHiVjaac+cacaWGsbGaamivaaaaaaaaaaWcbeqab0Gaey
+
−
% yeIuoaaaaaaa!738A!
+
−
\[f{\rm{(r)  =  }}\frac{{{\rm{ }}{{\rm{e}}^{ - {\Delta _r}{G^{' \circ /RT}}}}}}{{{\rm{ 1  +  }}{{\rm{e}}^{ - {\Delta _r}{G^{' \circ /RT}}}} + {\rm{ }}\sum {{r^'} \in {R_N}\backslash {{\left\{ r \right\}}^{{\rm{ }}{{\rm{e}}^{ - {\Delta _r}{G^{' \circ /RT}}}}}}} }}\]
+
−
</span>
+
 
</body>
 
</body>
 
</html>
 
</html>

Latest revision as of 17:00, 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.

\[{e^{-\Delta{r}{G^{'\circ}}/RT}}\] $$\hat p=\sigma(\theta^T \cdot x_b)=\frac{1}{1+\mathbf{e}^{-{\theta^{T \cdot x_b}}}}$$ \[{\sum\nolimits_{{r^'}} {{{\rm{e}}^{ - {\Delta _{{r^'}}}{G^{' \circ /RT}}}}} }\]