Sep 25, 2019 · Yes. Not only are one dimensional vectors a thing, "zero dimensional" vectors are too! An example of a one dimensional vector would just be any real number, as you observed. …

Oct 14, 2015 · I'm having trouble understanding the concept of dimensions. Here's what wikipedia has to say: In physics and mathematics, the dimension of a mathematical space (or object) is …

Jan 19, 2016 · Then the problem is to count the distinct one dimensional subspaces. $\mathbb R^3 $ has infinitely many one dimensional subspaces. If $v_1, v_2, v_3$ are a basis, any …

Nov 20, 2023 · Indeed, one may consider the cartesian product of a line (one-dimensional space) and a circle (two-dimensional space) as a cylindrical surface (one plus two, thus three …

Jan 20, 2019 · One-dimensional vector space and it's subspaces Ask Question Asked 6 years, 11 months ago Modified 6 years, 11 months ago

Poincaré inequality and Rellich Theorem in one dimensional weighted Sobolev space Ask Question Asked 12 years, 8 months ago Modified 12 years, 8 months ago

A circle is said to have a one-dimensional hole, and a sphere a two-dimensional hole for example. However I cannot see why the circle should be described to have a one-dimensional hole $-$ …

Jun 4, 2015 · $\mathbb C$ as an $\mathbb R$-vector space is two dimensional. A natural basis is $\ { 1, i \}$, as you suggest.

May 25, 2015 · So, lines and circles are one-dimensional, intuitively, since you have one degree of freedom at each point (you can only move along one direction). The sphere in three …

Feb 3, 2015 · 19 Officially, it's one-dimensional because at any point, the tangent space is a one-dimensional vector space. Unofficially, it's one-dimensional because if you zoom in enough on …