Download Mu. The simplest and easiest way to get Mu is via the official installer for Windows or Mac OSX (we no longer support 32bit Windows). We also have an experimental AppImage for …

2025年2月1日 · The paper "Fine Structure of Harmonic Measure" (available at https://m.mathnet.ru/php/archive.phtml?wshow=paper&jrnid=aa&paperid=980&option_lang=eng) …

To perform a hypothesis test for $\mu_1-\mu_2$, enter $H_0$ and $H_a$. Specify the null and alternative hypotheses with the drop-down boxes. The critical value, rejection region, test …

2021年5月1日 · let $\mu_1$ and $\mu_2$ be the two measures on $\mathbb R$ such that $\mu_1((a,b))= \mu_2((a,b))$ where $a,b \in \mathbb{R}$ for which $\mu_{1}(\{ a\})=0$, …

MRS1，2是 效用函数 某点 (a,b)的切线斜率dx2/dx1。 U (x_1, x_2) = u_0, (fixed). By the implicit function theorem， \frac {d x_2} {d x_1} = - \frac {\partial_ {x_1}U (x_1, x_2)} {\partial_ {x_2} U …

$$f(x,y|\mu_1,\mu_2,\sigma_1,\sigma_2,\rho)=\frac{1}{2\pi\sigma_1\sigma_2\sqrt{1-\rho^2}}exp\left\{-\frac{1}{2(1-\rho^2)}\left[\fra...

莫比乌斯反演是数论中的重要内容。 对于一些函数 ，如果很难直接求出它的值，而容易求出其倍数和或约数和 ，那么可以通过莫比乌斯反演简化运算，求得 的值。 开始学习莫比乌斯反演 …

2025年2月14日 · A measurable function $f$ is $\mu_i$-integrable for $i=1$ and $i=2$ if and only if $f$ is $\mu$-integrable, and then (2.7.1) holds. My try: 1.I have proved that this true for …

$$W_i=X_i-Y_i \sim N(\mu_1 - \mu_2, 2 \sigma^2)$$ n independent random variables and use it to show that $\bar{W} = \bar{X} - \bar{Y} $ is sufficient to the mean. Is that correct? Thanks

2019年4月12日 · Suppose I have three independent groups, with mean $\mu_1,~ \mu_2,~\mu_3$ respectively. How can I test whether $\mu_1 < \mu_2 <\mu_3$ or not using $n_1,~n_2,~n_3$ …