Question

Let $(x_n)\subset\mathbb{R}^2.$ Is there a straight line $l\subset\mathbb{R}^2$ and a subsequence $(x_{k_n})$ of $(x_n)$ s.t. $d(x_{k_n},l){\to}0?$

score 58 · Answer 1 · 2026-04-16 04:00:05

58

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Let $(x_n)\subset\mathbb{R}^2.$ Is there a straight line $l\subset\mathbb{R}^2$ and a subsequence $(x_{k_n})$ of $(x_n)$ s.t. $d(x_{k_n},l){\to}0?$

Published on 16 Apr 2026 - 4:00

score 138 · Answer 2 · 2026-04-11 17:21:19

138

Views

Determining unique linear map

Published on 11 Apr 2026 - 17:21

score 165 · Answer 3 · 2026-04-12 15:53:36

165

Views

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Published on 12 Apr 2026 - 15:53

score 43 · Answer 4 · 2026-04-10 08:59:36

43

Views

Solution to given Integral equation

Published on 10 Apr 2026 - 8:59

score 525 · Answer 5 · 2026-04-13 21:43:01

525

Views

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Published on 13 Apr 2026 - 21:43

score 51 · Answer 6 · 2026-04-16 04:03:01

51

Views

Why is this recursively-defined permutation $\sigma:\mathbb{N}\to\mathbb{N}$ symmetrical in the sense that $\sigma(\sigma(n))=n\ $?

Published on 16 Apr 2026 - 4:03

score 86 · Answer 7 · 2026-04-11 23:13:00

86

Views

Are there any tricks to solving this sum?

Published on 11 Apr 2026 - 23:13

score 20 · Answer 8 · 2026-04-11 04:54:20

20

Views

Consider the following typographical error in the limit definition:...

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score 72 · Answer 9 · 2026-04-14 13:57:25

72

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Let $p : \mathbb R \to \mathbb R$ be a non-constant polynomial, that is, for all...

Published on 14 Apr 2026 - 13:57

score 77 · Answer 10 · 2026-04-14 06:44:52

77

Views

What does it mean that a function $f:\mathbb R \to \mathbb R$ is continuous on $c \in \mathbb R$?

Published on 14 Apr 2026 - 6:44

score 50 · Answer 11 · 2026-04-16 09:10:23

50

Views

Using the Bolzano–Cauchy Theorem, prove that the equation $x^2+x−\cos x=0$ has at least one solution in the interval $[0,1]$.

Published on 16 Apr 2026 - 9:10

score 50 · Answer 12 · 2026-04-08 20:33:20

50

Views

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Published on 08 Apr 2026 - 20:33

score 120 · Answer 13 · 2026-04-09 17:15:40

120

Views

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Published on 09 Apr 2026 - 17:15

score 34 · Answer 14 · 2026-04-12 16:28:01

34

Views

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Published on 12 Apr 2026 - 16:28

score 39 · Answer 15 · 2026-04-08 21:33:54

39

Views

How to evaluate the following contour integral?

Published on 08 Apr 2026 - 21:33

List Question

Let $(x_n)\subset\mathbb{R}^2.$ Is there a straight line $l\subset\mathbb{R}^2$ and a subsequence $(x_{k_n})$ of $(x_n)$ s.t. $d(x_{k_n},l){\to}0?$

Determining unique linear map

A problem given to high school students

Solution to given Integral equation

Coin Flipping with Bias

Why is this recursively-defined permutation $\sigma:\mathbb{N}\to\mathbb{N}$ symmetrical in the sense that $\sigma(\sigma(n))=n\ $?

Are there any tricks to solving this sum?

Consider the following typographical error in the limit definition:...

Let $p : \mathbb R \to \mathbb R$ be a non-constant polynomial, that is, for all...

What does it mean that a function $f:\mathbb R \to \mathbb R$ is continuous on $c \in \mathbb R$?

Using the Bolzano–Cauchy Theorem, prove that the equation $x^2+x−\cos x=0$ has at least one solution in the interval $[0,1]$.

A math logic problem

What kind of problem is the Potter Kata? Is there a general solution?

Solution of multi variables dependent first order differential equation?

How to evaluate the following contour integral?

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