What is eruption
@anand
Hii
Hru??
Answers
Answer:
x = \frac{-b \pm \sqrt{b^2-4ac}}{2a}
F(x) = \int^a_b \frac{1}{3}x^3
|x| =
\begin{cases}
x & \text{ if } x\ge 0 \\
-x & \text{ if } x \lt 0
\end{cases}
\left( \sum_{k=1}^n a_k b_k \right)^2
\leq
\left( \sum_{k=1}^n a_k^2 \right)
\left( \sum_{k=1}^n b_k^2 \right)
A = \pmatrix{
a_{11} & a_{12} & \ldots & a_{1n} \cr
a_{21} & a_{22} & \ldots & a_{2n} \cr
\vdots & \vdots & \ddots & \vdots \cr
a_{m1} & a_{m2} & \ldots & a_{mn} \cr
}
\sin A \cos B = \frac{1}{2}\left[ \sin(A-B)+\sin(A+B) \right] \\
\sin A \sin B = \frac{1}{2}\left[ \sin(A-B)-\cos(A+B) \right] \\
\cos A \cos B = \frac{1}{2}\left[ \cos(A-B)+\cos(A+B) \right]
\frac{d}{dx}\left( \int_{0}^{x} f(u)\,du\right)=f(x)
{\frac {d}{dx}}\arctan(\sin({x}^{2}))=-2\,{\frac {\cos({x}^{2})x}
{-2+\left (\cos({x}^{2})\right )^{2}}}
\begin{cases}
\lim\limits_{x \to \infty} \exp(-x) = 0\\
k_{n+1} = n^2 + k_n^2 - k_{n-1}\\
a \bmod b,x \equiv a \pmod{b}\\
\frac{n!}{k!(n-k)!} = \binom{n}{k}\\
\end{cases}
\frac{
\begin{array}[b]{r}
\left( x_1 x_2 \right)\\
\times \left( x'_1 x'_2 \right)
\end{array}
}{ \left( y_1y_2y_3y_4 \right) }
\int\limits_a^bP\left(A=2\middle|\frac{A^2}
{B}>4\right)>\int_0^\infty \mathrm{e}^{-x}\,\mathrm{d}x
\left\{\frac{x^2}{y^3}\right\}\to
\left.\frac{x^3}{3}\right|_0^1\to
\big( \Big( \bigg( \Bigg(
\frac{\mathrm d}{\mathrm d x} \left( k g(x) \right)
\Bigg) \bigg) \Big) \big)
M = \begin{bmatrix}
\frac{5}{6} & \frac{1}{6} & 0 \\[0.3em]
\frac{5}{6} & 0 & \frac{1}{6} \\[0.3em]
0 & \frac{5}{6} & \frac{1}{6}
\end{bmatrix}
\left(
\begin{array}{c} n \\ r
\end{array}
\right) = \frac{n!}{r!(n-r)!}
\begin{bmatrix} xz & xw \\ yz & yw \end{bmatrix} = \left[
\begin{array}{c} x \\ y \end{array} \right] \times \left[
\begin{array}{cc} z & w \end{array} \right]
f(x) = \int_{-\infty}^\infty \hat f(\xi),e^{2 \pi i \xi x} \,d\xi
\begin{cases}
B'=-\nabla \times E,\\
E'=\nabla \times B - 4\pi j,\\
F\colon X \rightarrow Y \\
x \mapsto 2x
\end{cases}