https://math.codidact.com/categories/41/tags/6878.rssNew Posts Tagged 'applied-mathematics' - MathematicsMathematics - Codidact2023-10-16T17:29:16Zhttps://math.codidact.com/posts/290025Calculation of limitKlein Morettihttps://math.codidact.com/users/659562023-10-16T17:29:16Z2023-10-16T17:29:16Z<p>How to prove
$$\lim\limits_{n\to\infty}\frac{n^{\frac{m-1}2}\sum_{k=0}^m\left(C_n^k\right)^m}{2^{nm}}=\left(\frac2\pi\right)^{\frac m2}\sqrt{\frac\pi{2m}}.$$</p>
<!-- g: js, mdit -->https://math.codidact.com/posts/289536How can I choose a point from a uniform distribution within a regular polygon?Karl Knechtelhttps://math.codidact.com/users/646562023-08-26T14:59:15Z2023-08-27T19:37:51Z<p>Suppose I have a regular polygon in the Cartesian plane, centered at the origin with circumradius $1$, aligned with one vertex at $(1, 0)$. Given a source of independent, uniformly distributed r...https://math.codidact.com/posts/286926Inhomogenous differential equations in sciencesMissMulanhttps://math.codidact.com/users/541072022-08-24T17:14:46Z2022-08-24T17:15:04Z<p>A first order inhomogenous differential equation is :</p>
<p>$$ \frac{dy}{dx}+p(x)y(x) = q(x)$$</p>
<p>with $$ q(x)\neq0$$</p>
<p>I like studying applied math but I dont like pure math so im ...