https://math.codidact.com/categories/41/tags/4846.rssNew Posts Tagged 'analysis' - 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/288658Properties of distances between adjacent vector elements and related functionsstofredhttps://math.codidact.com/users/598172023-06-22T17:13:40Z2023-06-22T18:19:51Z<p>I'm exploring a function that takes a non-negative integer vector $$ \theta\in {\mathbb{N}_0}^4$$ and returns the modulus of each adjacent vector components, wrapping around:</p>
$$
s:{\mathbb...https://math.codidact.com/posts/286561Optimising a 3 value problem (well 2 really)KalleMPhttps://math.codidact.com/users/81142022-06-06T15:01:52Z2022-06-09T14:07:49Z<p>I have tried to find a way to optimise value selections so a range of results based on 3 values will be as evenly spaced as possible as close as possible to a geometric series.</p>
<p>I have a ...https://math.codidact.com/posts/281010De-mystifying tricks – If $\{x_n\}$ converges, then Cesaro Mean converges.TextKithttps://math.codidact.com/users/536962021-03-09T06:12:46Z2021-06-05T16:19:25Z<blockquote>
<p><strong>Exercise 2.3.11 (Cesaro Means).</strong> (a) Show if ${x_n}$ is a convergent sequence, then the sequences given by the averages ${\dfrac{x_1 + x_2 + ... + x_n}{n}}$ converg...