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Apr
9
revised Why does closedness and boundedness for $S = \{ v \in V : || v||_{\infty} = 1\}$ imply that $S$ is compact in a finite dimensional vector space $V$?
added 1 character in body
Mar
27
revised Why the column space of a matrix is useful?
added 393 characters in body
Mar
26
revised Let $X$ be a topological space. Prove that for any $x $ in the intersection of all opens sets $=\{x \}$, the space $X$ need not be Hausdorff.
edited body
Mar
19
revised Compact Projections to $S^1$
added 190 characters in body
Mar
12
revised what can you conclude about the number of solutions of the linear system Ax = b?
added 98 characters in body
Mar
9
revised Measure of $E$ is the limit of the measure of the open set $\mathcal{O}_n$
added 5 characters in body
Mar
9
revised Measure of $E$ is the limit of the measure of the open set $\mathcal{O}_n$
added 483 characters in body
Sep
12
revised Why is differential geometry called differential geometry?
[Edit removed during grace period]
May
13
revised Proving that there is no norm for the space of real-valued sequences making it a complete metric space.
edited tags
May
13
revised Motivation of vector bundle of a manifold
edited tags
May
11
revised Equivalent definitions of vector field
added 84 characters in body
Apr
27
revised If $f$ is uniformly continuous on $\mathbb{R}$, $f(x) \ge a >0$ and $g(x) = 1/f(x)^2$, then $g(x)$ is uniformly continuous
edited tags
Apr
11
revised Why do some series converge and others diverge?
added 146 characters in body
Apr
11
revised Why do some series converge and others diverge?
added 146 characters in body
Apr
10
revised How to use Hölder's inequality to show $L_q$ is a subspace of $L_p$?
deleted 21 characters in body
Apr
10
revised Homotopy on the unit circle
added 190 characters in body
Dec
6
revised Cardinalities of power sets, $\mathbb{N}$, and $\mathbb{R}$.
tex edits
Dec
6
revised for any $A\subseteq X$, $f(\overline{A})\subseteq\overline{f(A)}$ , if and only if $f: X \to Y$ is continuous.
tex edits
Sep
24
revised How to apply Borel-Cantelli Lemma here?
edited tags
Aug
23
revised When is the logarithm of this function square integrable?
edited title