Question

Evaluation of the limit $\displaystyle\lim_{x\to\infty}x-\sqrt{(x-a)(x-b)}$

score 241 · Answer 1 · 2026-04-14 22:20:25

241

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Evaluation of the limit $\displaystyle\lim_{x\to\infty}x-\sqrt{(x-a)(x-b)}$

Published on 14 Apr 2026 - 22:20

score 154 · Answer 2 · 2026-04-17 07:17:54

154

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if $f,g$ are linear transformations, find basis of $ \operatorname{im}(f) \cap \ker(f \circ g) $ and $ \operatorname{im}(g \circ f) + \ker(f) $

Published on 17 Apr 2026 - 7:17

score 138 · Answer 3 · 2026-04-15 03:20:57

138

Views

Constructing a bivariate normal from three univariate normals

Published on 15 Apr 2026 - 3:20

score 70 · Answer 4 · 2026-04-16 09:56:53

70

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If $q \equiv k \equiv 1 \pmod 4$, is it necessarily true that $\gcd\bigg(\sigma(q^k),\sigma(q^{(k-1)/2})\bigg)=1$?

Published on 16 Apr 2026 - 9:56

score 396 · Answer 5 · 2026-04-15 04:58:37

396

Views

Does $(1+\frac12-\frac13) + (\frac14+\frac15-\frac16)+(\frac17+\frac18-\frac19)+\cdots$ converge?

Published on 15 Apr 2026 - 4:58

score 61 · Answer 6 · 2026-04-12 08:21:02

61

Views

The possible size of two sets intersection

Published on 12 Apr 2026 - 8:21

score 598 · Answer 7 · 2026-04-16 01:11:41

598

Views

Proof Verification- Prove that $(a+b,a-b) \geq (a,b)$ for any two integers.

Published on 16 Apr 2026 - 1:11

score 79 · Answer 8 · 2026-04-10 22:38:48

79

Views

Proof that $e$ is irrational. (Proof verification)

Published on 10 Apr 2026 - 22:38

score 248 · Answer 9 · 2026-04-25 01:49:34

248

Views

Linearization of a tensor?

Published on 25 Apr 2026 - 1:49

score 742 · Answer 10 · 2026-04-12 21:20:10

742

Views

Intermediate Value Theorem in point-set topology.

Published on 12 Apr 2026 - 21:20

score 41 · Answer 11 · 2026-04-14 10:29:26

41

Views

Discuss the existence and uniqueness of the following operator equation

Published on 14 Apr 2026 - 10:29

score 944 · Answer 12 · 2026-04-14 20:17:19

944

Views

Is $f(x,y) = d(x,y)$ a continuous function from a Metric space $X \times X$ to $\mathbb R$?

Published on 14 Apr 2026 - 20:17

score 63 · Answer 13 · 2026-04-17 01:21:59

63

Views

Prove that image and preimage of $\Sigma_1$-sets under a function with a $\Sigma_1$-graph are $\Sigma_1$-sets

Published on 17 Apr 2026 - 1:21

score 1k · Answer 14 · 2026-04-11 22:59:00

1k

Views

My proof that the empty set is unique

Published on 11 Apr 2026 - 22:59

score 35 · Answer 15 · 2026-04-25 03:42:00

35

Views

On a special vector field on Riemannian Manifolds?

Published on 25 Apr 2026 - 3:42

List Question

Evaluation of the limit $\displaystyle\lim_{x\to\infty}x-\sqrt{(x-a)(x-b)}$

if $f,g$ are linear transformations, find basis of $ \operatorname{im}(f) \cap \ker(f \circ g) $ and $ \operatorname{im}(g \circ f) + \ker(f) $

Constructing a bivariate normal from three univariate normals

If $q \equiv k \equiv 1 \pmod 4$, is it necessarily true that $\gcd\bigg(\sigma(q^k),\sigma(q^{(k-1)/2})\bigg)=1$?

Does $(1+\frac12-\frac13) + (\frac14+\frac15-\frac16)+(\frac17+\frac18-\frac19)+\cdots$ converge?

The possible size of two sets intersection

Proof Verification- Prove that $(a+b,a-b) \geq (a,b)$ for any two integers.

Proof that $e$ is irrational. (Proof verification)

Linearization of a tensor?

Intermediate Value Theorem in point-set topology.

Discuss the existence and uniqueness of the following operator equation

Is $f(x,y) = d(x,y)$ a continuous function from a Metric space $X \times X$ to $\mathbb R$?

Prove that image and preimage of $\Sigma_1$-sets under a function with a $\Sigma_1$-graph are $\Sigma_1$-sets

My proof that the empty set is unique

On a special vector field on Riemannian Manifolds?

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