Leysa {l}{3x+2s+z+2u+3v=7}{r+2s+7+5u+4v=-5}{r+2s+2r+3u+5v=-1}{3r+2s+3t+2u+3v=17}{4r+2s+3v+4u-3v=36}

\left\{ \begin{array} { l } { 3 x + 2 s + z + 2 u + 3 v = 7 } \\ { r + 2 s + 7 + 5 u + 4 v = - 5 } \\ { r + 2 s + 2 r + 3 u + 5 v = - 1 } \\ { 3 r + 2 s + 3 t + 2 u + 3 v = 17 } \\ { 4 r + 2 s + 3 v + 4 u - 3 v = 36 } \end{array} \right.

Leystu fyrir x

x=\frac{46t}{19}-\frac{z}{3}+\frac{110}{57}

s=\frac{346-40r}{9}\text{ and }r=\frac{27t+100}{19}\text{ and }u=\frac{11r-92}{9}\text{ and }v=\frac{4r-85}{9}

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Is the distribution of the minimum of two other distributions a mixture distribution? Or is there a better term?

https://stats.stackexchange.com/questions/114948/is-the-distribution-of-the-minimum-of-two-other-distributions-a-mixture-distribu

I don't think that counts as a mixture, no. A mixture distribution draws from among a collection of distributions according to a random variable from another distribution (as in your first example, ...

Let W_{1},W_{2} be sub-spaces of \mathbb{R}^{4}, find a subspace W_{3} s.t W_3\subset W_{2} and W_{1}\oplus W_{3}=W_{1}+W_{2}

https://math.stackexchange.com/questions/2876077/let-w-1-w-2-be-sub-spaces-of-mathbbr4-find-a-subspace-w-3-s-t

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Suppose \mu is a finite measure on the Borel sets of R such that f(x) = \int_R f(x + t) \mu(dt) a.e., show \mu(\{0\}) = 1.

https://math.stackexchange.com/q/1402437

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https://math.stackexchange.com/q/1330062

It took me a while but I realized how to do. So, let's define the generic closest point as p (x_0, y_0) and then let's call d_i the generic i_{th} distance from the line_i to p We have to ...

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https://math.stackexchange.com/q/1401032

The definition of the Riemann-Stieltjes integral is \int_a^b f d\omega(x) = \lim_{n\to \infty} \sum_{i=0}^{n-1} f(x_i^*)[\omega(x_{i+1})-\omega(x_i)] where x_i^*\in I_i = [x_i,x_{i+1}] and the ...

Intepolate from linear to step function, and one application for shading colors

https://math.stackexchange.com/questions/871317/intepolate-from-linear-to-step-function-and-one-application-for-shading-colors

Here are several equivalent definitions: \begin{align} f_a(x) &= \tanh(a\tanh^{-1}x) \\ &= \frac{(1+x)^a-(1-x)^a}{(1+x)^a+(1-x)^a} \\ &= \frac{\binom a1x+\binom a3x^3+\binom a5x^5+\cdots}{\binom a0+\binom a2x^2+\binom a4x^4+\cdots}. \end{align} ...

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