List questions from proof-explanation

Published on 25 Apr 2026 - 11:28

43

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For all $a,b,n \in \mathbb N$, $0 \leq n(a+b+1)-n^2 +b$

Published on 15 Apr 2026 - 20:30

269

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Leinster's proof of "Representables preserve limits"

Published on 10 May 2026 - 20:51

89

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Reflection of light from a vertex of of a cube to another

Published on 13 Apr 2026 - 3:32

133

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A proof of existence of canonical divisors

Published on 11 May 2026 - 5:25

192

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Littlewood's Second Principle : Simple function is continuous on restricted domain

Published on 16 Apr 2026 - 6:36

235

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Adjoint functors preserve limits/colimits

Published on 26 Mar 2026 - 4:49

63

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Why is $\sum_{k = n^{3/4}}^{n/2} (e/n^{1/4})^k \leq n^{-n^{3/4}/5}$ for $n \to \infty$?

Published on 15 Apr 2026 - 20:43

46

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Why is $\sum_{k=1}^{n^{3/4}} e^{(1-\omega(n))k}k^{-k}e^{2k^2(\log n)/n} \leq 3e^{-\omega(n)}$?

Published on 15 Apr 2026 - 16:52

71

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How do I prove that a sequence of functions is convergent?

Published on 12 Apr 2026 - 4:11

260

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Chebyshev's Inequality Proof Step

Published on 13 Apr 2026 - 21:40

67

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Derivation of M step in Gaussian EM-Algorithm (Maximize a given function for 2 parameters).

Published on 11 Apr 2026 - 11:40

63

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Proof of the limit for the sequence of function.

Published on 13 Apr 2026 - 15:54

117

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Understanding proof of L'Hopital's Rule

Published on 09 Apr 2026 - 11:35

168

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Added angle formula to solve this indefinite integral $\int\frac{2\cos x-\sin x}{3\sin x+5\cos x }\,dx$

Published on 15 Apr 2026 - 19:49

List Question

Cardinality of Set of All Sequences on $\omega$.

For all $a,b,n \in \mathbb N$, $0 \leq n(a+b+1)-n^2 +b$

Leinster's proof of "Representables preserve limits"

Reflection of light from a vertex of of a cube to another

A proof of existence of canonical divisors

Littlewood's Second Principle : Simple function is continuous on restricted domain

Adjoint functors preserve limits/colimits

Why is $\sum_{k = n^{3/4}}^{n/2} (e/n^{1/4})^k \leq n^{-n^{3/4}/5}$ for $n \to \infty$?

Why is $\sum_{k=1}^{n^{3/4}} e^{(1-\omega(n))k}k^{-k}e^{2k^2(\log n)/n} \leq 3e^{-\omega(n)}$?

How do I prove that a sequence of functions is convergent?

Chebyshev's Inequality Proof Step

Derivation of M step in Gaussian EM-Algorithm (Maximize a given function for 2 parameters).

Proof of the limit for the sequence of function.

Understanding proof of L'Hopital's Rule

Added angle formula to solve this indefinite integral $\int\frac{2\cos x-\sin x}{3\sin x+5\cos x }\,dx$

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