Question

inner product space proving $S_0 \subseteq S$ implies that $S^{\bot} \subseteq S_0^{\bot}$

score 118 · Answer 1 · 2020-03-06 18:29:38

118

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inner product space proving $S_0 \subseteq S$ implies that $S^{\bot} \subseteq S_0^{\bot}$

Published on 06 Mar 2020 - 18:29

score 56 · Answer 2 · 2020-03-06 19:49:54

56

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About Partial Derivatives of a function

Published on 06 Mar 2020 - 19:49

score 361 · Answer 3 · 2026-03-26 22:13:23

361

Views

The exponential map on a Lie algebra which is a direct sum

Published on 26 Mar 2026 - 22:13

score 232 · Answer 4 · 2026-03-30 17:00:24

232

Views

Two ways to prove the completeness theorem from corollary

Published on 30 Mar 2026 - 17:00

score 455 · Answer 5 · 2026-03-27 02:03:08

455

Views

Number of contiguous set partitions of $\{1,\dots,N\}$ is same as number of ordered arithmetic partitions of $N$? (Because of stars and bars?)

Published on 27 Mar 2026 - 2:03

score 1.2k · Answer 6 · 2026-02-23 01:06:12

1.2k

Views

Is this a valid proof for the reverse triangle inequality: Given $x,\,y\in\mathbb{R}^n$, $\|x-y\|\ge |\|x\| - \|y\||$.

Published on 23 Feb 2026 - 1:06

score 140 · Answer 7 · 2020-03-07 01:26:20

140

Views

What, in general, can one say about $f^{-1}(f(S))$ and $S$? What about $f(f^{-1}(U))$ and $U$?

Published on 07 Mar 2020 - 1:26

score 284 · Answer 8 · 2020-03-07 01:51:14

284

Views

Prove that $f:M(m \times n,F) \to Hom(F^n,F^m)$ is an isomorphism of vector spaces

Published on 07 Mar 2020 - 1:51

score 565 · Answer 9 · 2020-03-07 02:13:59

Let $A,B$ be two subsets of a set $X$, and let $f:X\rightarrow Y$ be a function. Show that $f(A)\backslash f(B) \subseteq f(A\backslash B)$

score 821 · Answer 10 · 2020-03-07 02:48:19

821

Views

Show that $f^{-1}(U\cup V) = f^{-1}(U)\cup f^{-1}(V)$

Published on 07 Mar 2020 - 2:48

score 126 · Answer 11 · 2020-03-07 06:26:35

126

Views

What is the difference between these two integrals of joint probabilities?

Published on 07 Mar 2020 - 6:26

score 65 · Answer 12 · 2020-03-07 10:39:39

65

Views

Find $\frac{d}{dx} \left ( \int_{a(x)}^{b(x)} f(x,t) dt \right )$

Published on 07 Mar 2020 - 10:39

score 103 · Answer 13 · 2020-03-07 14:08:10

103

Views

Is my conditional PDF calculation correct?

Published on 07 Mar 2020 - 14:08

score 138 · Answer 14 · 2020-03-07 19:31:37

138

Views

Prove or disprove: $f$ is an injection iff $\exists g \forall x\ g(f(x)) = x$ ($f$ and $g$ are total functions from D to D)

Published on 07 Mar 2020 - 19:31

score 475 · Answer 15 · 2026-03-27 10:40:26

475

Views

Global Error Bound for Implicit Euler

Published on 27 Mar 2026 - 10:40

List Question

inner product space proving $S_0 \subseteq S$ implies that $S^{\bot} \subseteq S_0^{\bot}$

About Partial Derivatives of a function

The exponential map on a Lie algebra which is a direct sum

Two ways to prove the completeness theorem from corollary

Number of contiguous set partitions of $\{1,\dots,N\}$ is same as number of ordered arithmetic partitions of $N$? (Because of stars and bars?)

Is this a valid proof for the reverse triangle inequality: Given $x,\,y\in\mathbb{R}^n$, $\|x-y\|\ge |\|x\| - \|y\||$.

What, in general, can one say about $f^{-1}(f(S))$ and $S$? What about $f(f^{-1}(U))$ and $U$?

Prove that $f:M(m \times n,F) \to Hom(F^n,F^m)$ is an isomorphism of vector spaces

Let $A,B$ be two subsets of a set $X$, and let $f:X\rightarrow Y$ be a function. Show that $f(A)\backslash f(B) \subseteq f(A\backslash B)$

Show that $f^{-1}(U\cup V) = f^{-1}(U)\cup f^{-1}(V)$

What is the difference between these two integrals of joint probabilities?

Find $\frac{d}{dx} \left ( \int_{a(x)}^{b(x)} f(x,t) dt \right )$

Is my conditional PDF calculation correct?

Prove or disprove: $f$ is an injection iff $\exists g \forall x\ g(f(x)) = x$ ($f$ and $g$ are total functions from D to D)

Global Error Bound for Implicit Euler

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