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Nonobvious examples of metric spaces that do not work like $\mathbb{R}^n$

score 8k · Answer 1 · 2026-03-25 08:09:27

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Nonobvious examples of metric spaces that do not work like $\mathbb{R}^n$

Published on 25 Mar 2026 - 8:09

score 345 · Answer 2 · 2026-03-26 02:41:32

345

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How to visualize(inside ones brain) the Four-dimensional_space

Published on 26 Mar 2026 - 2:41

score 143 · Answer 3 · 2014-12-12 20:09:47

143

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How do I close the gap between intuitively knowing something is true vs being able to prove it?

Published on 12 Dec 2014 - 20:09

score 675 · Answer 4 · 2014-12-12 23:08:32

675

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How to upgrade Category Theory skills for Algebraic Geometry?

Published on 12 Dec 2014 - 23:08

score 126 · Answer 5 · 2014-12-14 15:18:03

126

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Why is this intuitive method valid?

Published on 14 Dec 2014 - 15:18

score 6.4k · Answer 6 · 2014-12-14 21:25:48

Let $z_1$, $z_2$ and $z_3$ be complex vertices of an equilateral triangle. Show $z_1^2 + z_2^2 + z_3^2 = z_1 z_2 + z_2 z_3 + z_3 z_1$.

score 2.9k · Answer 7 · 2026-03-28 08:10:35

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How the cardinality of $\mathbb{R^+}$ and $\mathbb{R}$ same?

Published on 28 Mar 2026 - 8:10

score 349 · Answer 8 · 2026-03-27 00:06:33

349

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Why do repeated linear factors have to be dealt with in this way?

Published on 27 Mar 2026 - 0:06

score 722 · Answer 9 · 2026-03-25 14:25:15

722

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An elliptic integral of first kind expresses the time of motion along an elliptic phase curve in the corresponding Hamiltonian system

Published on 25 Mar 2026 - 14:25

score 1.2k · Answer 10 · 2026-03-25 21:45:52

1.2k

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How to prove this using natural deduction

Published on 25 Mar 2026 - 21:45

score 1k · Answer 11 · 2015-01-02 19:04:58

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How are long proofs "planned"?

Published on 02 Jan 2015 - 19:04

score 286 · Answer 12 · 2015-01-02 19:09:47

286

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Modern treatment of Topology that focuses on intuition and is full of explanations and visual insights.

Published on 02 Jan 2015 - 19:09

score 1k · Answer 13 · 2019-10-02 07:33:58

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In mathematical induction, why can we say if it is true for n=1, n=k and n=k+1 then it is true for all numbers?

Published on 02 Oct 2019 - 7:33

score 196 · Answer 14 · 2026-03-29 22:13:18

196

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Idea Of Ends On nLab

Published on 29 Mar 2026 - 22:13

score 2.4k · Answer 15 · 2026-03-28 03:34:42

2.4k

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What is the intuition behind a low-rank covariance matrix?

Published on 28 Mar 2026 - 3:34

List Question

Nonobvious examples of metric spaces that do not work like $\mathbb{R}^n$

How to visualize(inside ones brain) the Four-dimensional_space

How do I close the gap between intuitively knowing something is true vs being able to prove it?

How to upgrade Category Theory skills for Algebraic Geometry?

Why is this intuitive method valid?

Let $z_1$, $z_2$ and $z_3$ be complex vertices of an equilateral triangle. Show $z_1^2 + z_2^2 + z_3^2 = z_1 z_2 + z_2 z_3 + z_3 z_1$.

How the cardinality of $\mathbb{R^+}$ and $\mathbb{R}$ same?

Why do repeated linear factors have to be dealt with in this way?

An elliptic integral of first kind expresses the time of motion along an elliptic phase curve in the corresponding Hamiltonian system

How to prove this using natural deduction

How are long proofs "planned"?

Modern treatment of Topology that focuses on intuition and is full of explanations and visual insights.

In mathematical induction, why can we say if it is true for n=1, n=k and n=k+1 then it is true for all numbers?

Idea Of Ends On nLab

What is the intuition behind a low-rank covariance matrix?

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