Question

Cauchy inequalities in systems of equations

score 52 · Answer 1 · 2026-04-13 02:30:27

52

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Cauchy inequalities in systems of equations

Published on 13 Apr 2026 - 2:30

score 110 · Answer 2 · 2026-03-26 17:35:04

110

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How do I prove this? (Set Theory, Mathematical Logic)

Published on 26 Mar 2026 - 17:35

score 417 · Answer 3 · 2026-03-26 05:55:54

417

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On Hilbert space, for projections $P,Q$, $P+Q$ is a projection if and only if $\text{ran}P\perp \text{ran}Q$

Published on 26 Mar 2026 - 5:55

score 158 · Answer 4 · 2026-04-14 14:25:31

158

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Alternate approach on probability proof

Published on 14 Apr 2026 - 14:25

score 43 · Answer 5 · 2026-04-15 17:13:47

43

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Uniform boundedness of derivative and pointwise convergence implies uniform convergence

Published on 15 Apr 2026 - 17:13

score 49 · Answer 6 · 2026-04-15 04:15:38

49

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If $A\subset\mathbb{R}$ is nonempty, show that $A$ is not bounded above if $r\in A$ implies $\sqrt{r^2+1}\in A$.

Published on 15 Apr 2026 - 4:15

score 399 · Answer 7 · 2026-04-16 21:33:09

399

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$ X_n\stackrel{P}\rightarrow X\text{, }Y_n\stackrel{P}\rightarrow Y \Rightarrow X_nY_n\stackrel{P}\rightarrow XY $. How to show this?

Published on 16 Apr 2026 - 21:33

score 88 · Answer 8 · 2026-04-17 09:36:40

88

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Calculating $\int_A \frac{z}{y^2}$ with $A:=\{z\ge0,x\ge1,y\ge 0, x^2+z^2<\min(2x,y^2)\}$

Published on 17 Apr 2026 - 9:36

score 243 · Answer 9 · 2026-04-12 16:04:03

243

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Explaining a step in the proof of the Galois group of the composite field of two Galois fields with trivial intersection

Published on 12 Apr 2026 - 16:04

score 3.6k · Answer 10 · 2026-04-15 05:19:02

3.6k

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Find the values $a$ and $b$ such that the function is differentiable at $x=0$

Published on 15 Apr 2026 - 5:19

score 103 · Answer 11 · 2026-04-16 07:56:20

103

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Let $p \in (1, \infty)$. If $f \in L^p(\mathbb{R})$ then $\lim_{x \rightarrow \infty} \int_{x}^{x+1}f(x)dx=0$

Published on 16 Apr 2026 - 7:56

score 133 · Answer 12 · 2026-03-27 06:12:35

133

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Find linear transformations $U,T:\textbf{F}^{2}\to\textbf{F}^{2}$ such that $UT = T_{0}$ (the zero transformation), but $TU\neq T_{0}$.

Published on 27 Mar 2026 - 6:12

score 67 · Answer 13 · 2026-04-12 12:29:00

67

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Eigenvectors for the matrix

Published on 12 Apr 2026 - 12:29

score 80 · Answer 14 · 2026-04-16 10:43:17

80

Views

Proof Verification: Problem 20, Ch 3 from Baby Rudin

Published on 16 Apr 2026 - 10:43

score 71 · Answer 15 · 2026-04-10 22:47:04

71

Views

Equinumerosity: Proof Validation

Published on 10 Apr 2026 - 22:47

List Question

Cauchy inequalities in systems of equations

How do I prove this? (Set Theory, Mathematical Logic)

On Hilbert space, for projections $P,Q$, $P+Q$ is a projection if and only if $\text{ran}P\perp \text{ran}Q$

Alternate approach on probability proof

Uniform boundedness of derivative and pointwise convergence implies uniform convergence

If $A\subset\mathbb{R}$ is nonempty, show that $A$ is not bounded above if $r\in A$ implies $\sqrt{r^2+1}\in A$.

$ X_n\stackrel{P}\rightarrow X\text{, }Y_n\stackrel{P}\rightarrow Y \Rightarrow X_nY_n\stackrel{P}\rightarrow XY $. How to show this?

Calculating $\int_A \frac{z}{y^2}$ with $A:=\{z\ge0,x\ge1,y\ge 0, x^2+z^2<\min(2x,y^2)\}$

Explaining a step in the proof of the Galois group of the composite field of two Galois fields with trivial intersection

Find the values $a$ and $b$ such that the function is differentiable at $x=0$

Let $p \in (1, \infty)$. If $f \in L^p(\mathbb{R})$ then $\lim_{x \rightarrow \infty} \int_{x}^{x+1}f(x)dx=0$

Find linear transformations $U,T:\textbf{F}^{2}\to\textbf{F}^{2}$ such that $UT = T_{0}$ (the zero transformation), but $TU\neq T_{0}$.

Eigenvectors for the matrix

Proof Verification: Problem 20, Ch 3 from Baby Rudin

Equinumerosity: Proof Validation

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