https://math.codidact.com/categories/41/tags/5642.rssNew Posts Tagged 'vector' - 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>
$$
s:{\mathbb...https://math.codidact.com/posts/288276how to mathematically express a relationship in which a vector can be any 3D unit vectorTrevorhttps://math.codidact.com/users/542402023-06-10T03:02:10Z2023-06-20T07:17:42Z<p>I'm currently doing some work with 3D rotations and exponential coordinates. Exponential coordinates $\mathbf{s} \in \mathbb{R}^3$ are a rotation parameterization defined as
$$\mathbf{s} = \the...https://math.codidact.com/posts/286985Given two angles of a triangle, finding an angle formed by a medianSnoopyhttps://math.codidact.com/users/568172022-09-11T21:44:35Z2022-11-21T13:53:05Z<blockquote>
<p><strong>Problem</strong>: Suppose in $\triangle ABC$, $\angle BAC = 30^\circ$ and $\angle BCA = 15^\circ$. Suppose $BM$ is a <a href="https://en.wikipedia.org/wiki/Median_(geometry...https://math.codidact.com/posts/285977Maximize Independent Variable of Matrix MultiplicationJosh Hyatthttps://math.codidact.com/users/536292022-02-17T20:47:41Z2022-02-18T20:23:40Z<p>Let $T$ be an $m\times n$ matrix with column vectors $\vec{T_i}$:</p>
<p>$$
\vec{T_i}=\begin{bmatrix}
\vec{T_1} & ... & \vec{T_n}
\end{bmatrix}
$$</p>
<p>Let $\vec{x}$ be an unknow...