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1d
answered Why do $n$ linearly independent vectors span $\mathbb{R}^{n}$?
1d
awarded  Announcer
2d
awarded  Vox Populi
2d
awarded  Suffrage
2d
comment Having trouble understanding enumerability
I know why you are having trouble.
Apr
22
awarded  Inquisitive
Apr
21
revised Existence of a continuous function which does not achieve a maximum.
corrected hypothesis, added details
Apr
21
asked Existence of a continuous function which does not achieve a maximum.
Apr
21
accepted What intuition do we have for a subalgebra of Lie to be abelian?
Apr
20
asked What intuition do we have for a subalgebra of Lie to be abelian?
Apr
20
comment What is the mathematics behind the two animations?
The math of the left is probably just the wave equation solved and being animated on an hexagonal grid.
Apr
20
awarded  Custodian
Apr
20
reviewed Reviewed Triple integral volume by equations
Apr
20
comment Prove that if $\lim_{n\to\infty}\frac{x_{n+1}}{x_n} = L < 1$ then $\lim_{n\to\infty} x_n = 0$
Well, in my opinion Did has a point... but I don't agree that the ratio test depends on this, as he says. It "comes off" in the proof of the ratio test, but the fact by itself is of no use in the test: knowing it makes no difference for the proof. It is the same as saying that we use the fact that $a_n \rightarrow 0$ to prove the cauchy criterion for series. Nevertheless, I agree that using a strictly more powerful result that "spits out" what you want to prove is not advisable, even more because OP is probably getting introduced to analysis.
Apr
19
answered Prove that if $\lim_{n\to\infty}\frac{x_{n+1}}{x_n} = L < 1$ then $\lim_{n\to\infty} x_n = 0$
Apr
10
accepted Is $\inf_{||x||=1}||T(x)||$ continuous?
Apr
10
accepted Why is $\frac{d}{dt}|\xi(t)|^2=2<\xi, \nabla \xi>$, when $\nabla$ is the covariant derivative?
Apr
9
answered Show that a subset $V$ of $X$ is open iff every point $x \in V$ has a neighborhood $V_x \subseteq V$
Apr
8
asked Is $\inf_{||x||=1}||T(x)||$ continuous?
Apr
7
accepted Good references on Riemannian Geometry