Question

Why does $x^{\log_a y} = y^{\log_a x}$ ? (intuitive reason)

score 151 · Answer 1 · 2024-01-23 15:19:33

151

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Why does $x^{\log_a y} = y^{\log_a x}$ ? (intuitive reason)

Published on 23 Jan 2024 - 15:19

score 268 · Answer 2 · 2026-03-29 12:05:30

268

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How to explain that area under the curve is real number?

Published on 29 Mar 2026 - 12:05

score 70 · Answer 3 · 2026-03-29 02:47:34

70

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Derivation and intuition of relative entropy

Published on 29 Mar 2026 - 2:47

score 125 · Answer 4 · 2026-03-29 03:36:36

125

Views

A square contains many random points. From each point, a disc grows until it hits the nearest neighboring point. What is the total area of the discs?

Published on 29 Mar 2026 - 3:36

score 315 · Answer 5 · 2026-03-30 03:17:24

315

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Projective spaces: why adding points to make linear intersections work make everything else work too?

Published on 30 Mar 2026 - 3:17

score 46 · Answer 6 · 2024-01-28 17:20:31

46

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Is it possible to give an ordering of concave sets?

Published on 28 Jan 2024 - 17:20

score 56 · Answer 7 · 2024-01-29 22:34:44

56

Views

Intuition behind dot product

Published on 29 Jan 2024 - 22:34

score 107 · Answer 8 · 2026-03-25 17:42:03

107

Views

What's the motivation or intuition of defining the regularity of measures in Measure Theory?

Published on 25 Mar 2026 - 17:42

score 47 · Answer 9 · 2026-03-27 07:46:56

47

Views

Developing visual intuition for proofs involving cartesian product and sets

Published on 27 Mar 2026 - 7:46

score 98 · Answer 10 · 2026-02-23 11:33:34

98

Views

Intuition for vector calculus

Published on 23 Feb 2026 - 11:33

score 104 · Answer 11 · 2024-02-07 06:27:20

104

Views

Geometrically, what does the linearity of an operator imply?

Published on 07 Feb 2024 - 6:27

score 85 · Answer 12 · 2026-02-23 03:59:17

85

Views

What Does It Mean to Say that Betti Numbers Count Holes?

Published on 23 Feb 2026 - 3:59

score 138 · Answer 13 · 2026-03-25 06:03:22

138

Views

Interpretation of "If A, then B" as "A coupled with B": Context and Applicability

Published on 25 Mar 2026 - 6:03

score 83 · Answer 14 · 2026-03-28 15:36:43

83

Views

I wonder why the author wrote $\phi_i:\mathbb{R}^n\to\mathbb{R}$ instead of $\phi_i:A\to\mathbb{R}$. ("Analysis on Manifolds" by James R. Munkres.)

Published on 28 Mar 2026 - 15:36

score 48 · Answer 15 · 2026-03-29 19:09:27

48

Views

Intuition behind statistical approach for Hypothesis testing

Published on 29 Mar 2026 - 19:09

List Question

Why does $x^{\log_a y} = y^{\log_a x}$ ? (intuitive reason)

How to explain that area under the curve is real number?

Derivation and intuition of relative entropy

A square contains many random points. From each point, a disc grows until it hits the nearest neighboring point. What is the total area of the discs?

Projective spaces: why adding points to make linear intersections work make everything else work too?

Is it possible to give an ordering of concave sets?

Intuition behind dot product

What's the motivation or intuition of defining the regularity of measures in Measure Theory?

Developing visual intuition for proofs involving cartesian product and sets

Intuition for vector calculus

Geometrically, what does the linearity of an operator imply?

What Does It Mean to Say that Betti Numbers Count Holes?

Interpretation of "If A, then B" as "A coupled with B": Context and Applicability

I wonder why the author wrote $\phi_i:\mathbb{R}^n\to\mathbb{R}$ instead of $\phi_i:A\to\mathbb{R}$. ("Analysis on Manifolds" by James R. Munkres.)

Intuition behind statistical approach for Hypothesis testing

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