Difference between revisions of "Math Diagnostic"

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Line 4: Line 4:
  
 
<math>\text{cost}= \text{base}  
 
<math>\text{cost}= \text{base}  
\times 2^{\text{level}-1}</math>
+
\times 2^{\text{level}-1}</math>  
  
 
+
<br> <math>
<math>
+
 
   \operatorname{erfc}(x) =
 
   \operatorname{erfc}(x) =
 
   \frac{2}{\sqrt{\pi}} \int_x^{\infty} e^{-t^2}\,dt =
 
   \frac{2}{\sqrt{\pi}} \int_x^{\infty} e^{-t^2}\,dt =
   \frac{e^{-x^2}}{x\sqrt{\pi}}\sum_{n=0}^\infty (-1)^n \frac{(2n)!}{n!(2x)^{2n}}
+
   \frac{e^{-x^2}}{x\sqrt{\pi}}\sum_{n=0}^\infty (-1)^n \frac{(2n)!}{n!(2x)^{2n}}</math>
</math>
+
 
 +
 
 +
<math>\begin{bmatrix}
 +
0      & \cdots & 0      \\
 +
\vdots & \ddots & \vdots \\
 +
0      & \cdots & 0
 +
\end{bmatrix}</math>
 +
 
 +
<math>
 +
\left . \frac{A}{B} \right \} \to X</math>
 +
 
 +
<math>{\color{Blue}x^2}+{\color{YellowOrange}2x}-{\color{OliveGreen}1}</math>
 +
 
 +
<math>x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}</math>
 +
 
 +
<math>\int_a^x \!\!\!\int_a^s f(y)\,dy\,ds
 +
= \int_a^x f(y)(x-y)\,dy</math>
 +
 
 +
<math>|\bar{z}| = |z|,
 +
|(\bar{z})^n| = |z|^n,
 +
\arg(z^n) = n \arg(z)</math>
 +
 
 +
<math>\lim_{z\rightarrow z_0} f(z)=f(z_0)</math>
 +
 
 +
<math>\phi_n(\kappa) =
 +
\frac{1}{4\pi^2\kappa^2} \int_0^\infty
 +
\frac{\sin(\kappa R)}{\kappa R}
 +
\frac{\partial}{\partial R}
 +
\left[R^2\frac{\partial D_n(R)}{\partial R}\right]\,dR</math>
 +
 
 +
<math>{}_pF_q(a_1,\dots,a_p;c_1,\dots,c_q;z)
 +
= \sum_{n=0}^\infty
 +
\frac{(a_1)_n\cdots(a_p)_n}{(c_1)_n\cdots(c_q)_n}
 +
\frac{z^n}{n!}</math>
 +
 
 +
<math>\varpi \varrho \varsigma \varphi</math>
 +
 
 +
<math>\left \uparrow \frac{a}{b} \right \downarrow \quad \left \Uparrow \frac{a}{b} \right \Downarrow \quad \left \updownarrow \frac{a}{b} \right \Updownarrow</math>

Revision as of 05:37, 28 May 2010

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