https://math.codidact.com/categories/41/tags/6339.rssNew Posts Tagged 'recreational-mathematics' - MathematicsMathematics - Codidact2023-06-22T18:19:51Zhttps://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/287063Show that $\forall n \in \mathbb{Z}^{+}$, $25^n \equiv 25 \bmod{100}$.Carefree Explorerhttps://math.codidact.com/users/568512022-09-24T14:21:59Z2022-10-03T08:24:13Z<blockquote>
<p>Show that $\forall n \in \mathbb{Z}^{+}$, $25^n \equiv 25 \bmod{100}$.</p>
</blockquote>
<p>This was a simple observation I made when playing around and I came up with the follow...https://math.codidact.com/posts/286991organizing a librarymsh210https://math.codidact.com/users/81062022-09-12T15:36:11Z2022-09-13T05:58:16Z<p>Suppose you have $n>1$ books lined up on a shelf, numbered $1$ to $n$, not in the correct order, and you wish to put them in order. Here's your method: Choose a misplaced book<sup>[1]</sup> a...