List questions from intuition

Published on 25 Mar 2026 - 5:04

476

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if $g$ is continuous at $c$ and $g(c)\neq 0$, there exists an open interval containing $c$ on which $f(x)/g(x)$ is defined (Abbott p 113 q4.3.5)

Published on 02 May 2014 - 11:36

2k

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What is the intuition behind the name "Flat modules"?

Published on 02 May 2014 - 12:30

245

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Intuition. Equivalence of Characterization of Limits and Continuity (Abbott p106 t4.2.3, p110 t4.3.2)

Published on 25 Mar 2026 - 19:51

329

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A sequence converges $\iff$ it's Cauchy. Proof of ($\Leftarrow$) (Abbott p 59 t2.6.4)

Published on 03 May 2014 - 19:22

551

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Gradient and Swiftest Ascent

Published on 03 May 2014 - 19:28

149

Views

Geometric intuition behind subspaces in $\mathbb C^n$

Published on 25 Mar 2026 - 19:51

167

Views

Why does $ 1+2+3+\cdots+p = {(1⁄2)}\cdots(p+1) $

Published on 06 May 2014 - 7:45

410

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Ramanujan's personification of small positive integers

Published on 29 Mar 2026 - 16:49

1.3k

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How can one visualize a homomorphic mapping.

Published on 08 May 2014 - 9:42

150

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Natural example where $\ell_\infty$ distance appears.

Published on 09 May 2014 - 7:58

435

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odd prime $\,p\mid x^2+1\Rightarrow p\equiv 1\pmod{\! 4}$

Published on 09 May 2014 - 15:09

2.6k

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Fermat's Little Theorem fails for composite instead of prime numbers.

Published on 10 May 2014 - 20:37

196

Views

Intuition - Linear Congruence Theorem

Published on 25 Mar 2026 - 17:29

95

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Why must an inner function of a compound function be linear in order to integrate it using the power rule?

Published on 11 May 2014 - 12:21

List Question

Why study integrality?

if $g$ is continuous at $c$ and $g(c)\neq 0$, there exists an open interval containing $c$ on which $f(x)/g(x)$ is defined (Abbott p 113 q4.3.5)

What is the intuition behind the name "Flat modules"?

Intuition. Equivalence of Characterization of Limits and Continuity (Abbott p106 t4.2.3, p110 t4.3.2)

A sequence converges $\iff$ it's Cauchy. Proof of ($\Leftarrow$) (Abbott p 59 t2.6.4)

Gradient and Swiftest Ascent

Geometric intuition behind subspaces in $\mathbb C^n$

Why does $ 1+2+3+\cdots+p = {(1⁄2)}\cdots(p+1) $

Ramanujan's personification of small positive integers

How can one visualize a homomorphic mapping.

Natural example where $\ell_\infty$ distance appears.

odd prime $\,p\mid x^2+1\Rightarrow p\equiv 1\pmod{\! 4}$

Fermat's Little Theorem fails for composite instead of prime numbers.

Intuition - Linear Congruence Theorem

Why must an inner function of a compound function be linear in order to integrate it using the power rule?

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