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

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<span>\[{e^{{\rm{ - }}\Delta {\rm{r}}{G^{' \circ }}/RT}}\]</span>
 
<span>\[{e^{{\rm{ - }}\Delta {\rm{r}}{G^{' \circ }}/RT}}\]</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>
 +
<math display='block'>
 +
<semantics>
 +
  <mi>f</mi><mtext>(r)&#x00A0;=&#x00A0;</mtext><mfrac>
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  <mrow>
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    <msup>
 +
    <mrow>
 +
      <mtext>&#x00A0;e</mtext></mrow>
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      <mo>&#x2212;</mo><msub>
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      <mi>&#x0394;</mi>
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      <mi>r</mi>
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      <msup>
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      <mi>G</mi>
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      <mrow>
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        <mo>&#x0027;</mo><mo>&#x2218;</mo><mo>/</mo><mi>R</mi><mi>T</mi></mrow>
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      </msup>
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      </mrow>
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    </msup>
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  <mrow>
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    <msup>
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    <mrow>
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      <mtext>&#x00A0;1&#x00A0;+&#x00A0;e</mtext></mrow>
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    <mrow>
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      <mo>&#x2212;</mo><msub>
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      <mi>&#x0394;</mi>
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      <mi>r</mi>
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      </msub>
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      <msup>
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      <mi>G</mi>
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      <mrow>
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        <mo>&#x0027;</mo><mo>&#x2218;</mo><mo>/</mo><mi>R</mi><mi>T</mi></mrow>
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      </msup>
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      </mrow>
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    </msup>
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    <mo>+</mo><mtext>&#x00A0;</mtext><mstyle displaystyle='true'>
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    <mo>&#x2211;</mo> <mrow>
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      <msup>
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      <mi>r</mi>
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      <mo>&#x0027;</mo>
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      </msup>
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      <mo>&#x2208;</mo><msub>
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      <mi>R</mi>
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      <mi>N</mi>
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      </msub>
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      <mo>&#x005C;</mo><msup>
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      <mrow>
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        <mrow><mo>{</mo> <mi>r</mi> <mo>}</mo></mrow></mrow>
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      <mrow>
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        <msup>
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        <mrow>
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          <mtext>&#x00A0;e</mtext></mrow>
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        <mrow>
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          <mo>&#x2212;</mo><msub>
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          <mi>&#x0394;</mi>
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          <mi>r</mi>
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          <msup>
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          <mi>G</mi>
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          <mrow>
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            <mo>&#x0027;</mo><mo>&#x2218;</mo><mo>/</mo><mi>R</mi><mi>T</mi></mrow>
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  </mfrac>
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  <annotation encoding='MathType-MTEF'>MathType@MTEF@5@5@+=
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  yeIuoaaaaaaa@738A@
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  </annotation>
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</semantics>
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</math>
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</body>
 
</body>
 
</html>
 
</html>

Revision as of 12:17, 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.

\[{e^{{\rm{ - }}\Delta {\rm{r}}{G^{' \circ }}/RT}}\] $$\hat p=\sigma(\theta^T \cdot x_b)=\frac{1}{1+\mathbf{e}^{-{\theta^{T \cdot x_b}}}}$$ f(r) =   e − Δ r G '∘/RT  1 + e − Δ r G '∘/RT +  ∑ r ' ∈ R N \ { r }  e − Δ r G '∘/RT MathType@MTEF@5@5@+= 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@