Question

Prove a surface with $K<0$ has no umbilic points

score 718 · Answer 1 · 2026-03-26 12:06:42

718

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Prove a surface with $K<0$ has no umbilic points

Published on 26 Mar 2026 - 12:06

score 475 · Answer 2 · 2019-12-01 18:12:28

475

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Prob. 2, Sec. 6.3, in Bartle & Sherbert's INTRO TO REAL ANALYSIS, 4th ed: If $f\to A>0$, $g>0$, and $g\to 0$, then $f/g\to +\infty$; ...

Published on 01 Dec 2019 - 18:12

score 4.1k · Answer 3 · 2019-12-01 20:31:57

4.1k

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How to show that f(x) = x is uniformly continuous on R

Published on 01 Dec 2019 - 20:31

score 38 · Answer 4 · 2019-12-02 01:26:11

38

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$f,f_n \in C[-1,1]$, $f_n \rightrightarrows f \implies \lim_{n \to \infty} \Vert f_n-f \Vert_{1} = 0$

Published on 02 Dec 2019 - 1:26

score 139 · Answer 5 · 2019-12-02 03:34:25

139

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If $\int_\mathbb{R} |f_n| \le \frac{1}{n^2}$, then $f_n \to 0 \lambda$-a.e.

Published on 02 Dec 2019 - 3:34

score 272 · Answer 6 · 2019-12-02 20:59:04

272

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A contest-math inequality: $(a+b)^2+(a+b+4c)^2 \geq \frac{100abc}{a+b+c}$

Published on 02 Dec 2019 - 20:59

score 1.9k · Answer 7 · 2026-03-29 03:36:29

1.9k

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Linear independence of tensor product basis $\{ v_i \otimes w_j\}$ for $\{v_i\}$ and $\{w_j\}$ linearly independent.

Published on 29 Mar 2026 - 3:36

score 84 · Answer 8 · 2019-12-05 01:43:13

84

Views

Proof Verification - divisibility through induction

Published on 05 Dec 2019 - 1:43

score 668 · Answer 9 · 2026-03-28 00:49:16

668

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Prove $\liminf(a_n+b_n) \geq \liminf(a_n)+\liminf(b_n)$ for bounded sequences $a_n$ and $b_n$

Published on 28 Mar 2026 - 0:49

score 384 · Answer 10 · 2026-03-26 06:21:47

384

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Deleting a column from echelon form of a matrix is still in echelon form?

Published on 26 Mar 2026 - 6:21

score 80 · Answer 11 · 2026-03-28 11:13:35

80

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Prove that the system $x\equiv a \pmod m$, $x\equiv b \pmod n$ has a solution iff $\gcd(m,n) \mid (a-b)$

Published on 28 Mar 2026 - 11:13

score 91 · Answer 12 · 2019-12-11 01:37:35

91

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$f_n\rightharpoonup f$ in $L^P(E)$ iff $\lim_{n\to \infty}\int_A f_n d\mu= \int_A f d\mu$

Published on 11 Dec 2019 - 1:37

score 159 · Answer 13 · 2019-12-11 18:38:44

159

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Shoenfield's Mathematical Logic : Chapter 3 Problem 1

Published on 11 Dec 2019 - 18:38

score 215 · Answer 14 · 2026-03-25 11:16:14

215

Views

Need help interpreting this formula for the number of Goldbach partitions

Published on 25 Mar 2026 - 11:16

score 606 · Answer 15 · 2026-03-28 10:35:19

606

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Prime elements in the subring $R = \mathbb Z + x \mathbb Q[x]$ of $ \mathbb Q[x]$

Published on 28 Mar 2026 - 10:35

List Question

Prove a surface with $K<0$ has no umbilic points

Prob. 2, Sec. 6.3, in Bartle & Sherbert's INTRO TO REAL ANALYSIS, 4th ed: If $f\to A>0$, $g>0$, and $g\to 0$, then $f/g\to +\infty$; ...

How to show that f(x) = x is uniformly continuous on R

$f,f_n \in C[-1,1]$, $f_n \rightrightarrows f \implies \lim_{n \to \infty} \Vert f_n-f \Vert_{1} = 0$

If $\int_\mathbb{R} |f_n| \le \frac{1}{n^2}$, then $f_n \to 0 \lambda$-a.e.

A contest-math inequality: $(a+b)^2+(a+b+4c)^2 \geq \frac{100abc}{a+b+c}$

Linear independence of tensor product basis $\{ v_i \otimes w_j\}$ for $\{v_i\}$ and $\{w_j\}$ linearly independent.

Proof Verification - divisibility through induction

Prove $\liminf(a_n+b_n) \geq \liminf(a_n)+\liminf(b_n)$ for bounded sequences $a_n$ and $b_n$

Deleting a column from echelon form of a matrix is still in echelon form?

Prove that the system $x\equiv a \pmod m$, $x\equiv b \pmod n$ has a solution iff $\gcd(m,n) \mid (a-b)$

$f_n\rightharpoonup f$ in $L^P(E)$ iff $\lim_{n\to \infty}\int_A f_n d\mu= \int_A f d\mu$

Shoenfield's Mathematical Logic : Chapter 3 Problem 1

Need help interpreting this formula for the number of Goldbach partitions

Prime elements in the subring $R = \mathbb Z + x \mathbb Q[x]$ of $ \mathbb Q[x]$

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