List questions from alternative-proof

Published on 06 Sep 2020 - 13:46

943

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Loch Ness monster and Jacob's Ladder Surfaces are NOT homeomorphic

Published on 13 Apr 2026 - 4:34

59

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Find $f(x_0)$ if $f(x) = 0$ for all $x \gt x_0$

Published on 06 Sep 2020 - 16:07

47

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Solve the inequality $ a^{ab}c+b^{bc}a+c^{ca}b\leq 1-2abc$

Published on 01 Apr 2026 - 13:37

268

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Let $a, b, c$ be positive real numbers such that $abc=1$. Prove that an inequality holds true

Published on 11 Apr 2026 - 16:27

194

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Find all positive integers $N$ such that $N \cdot 2^{N+1}+1$ is a perfect square

Published on 08 Sep 2020 - 8:25

385

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Maximum of inversions

Published on 12 Apr 2026 - 2:17

124

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Finding the remainder of $7^{27}\mod 11$

Published on 31 Mar 2026 - 23:51

101

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A more efficient proof of associativity law for a given binary operation

Published on 12 Apr 2026 - 12:25

101

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Proof Verification: not set of all singletons

Published on 10 Apr 2026 - 13:27

224

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Prove that $\int_0^{2\pi} \lvert \sum_{n=0}^{\infty} A_n (re^{i\theta})^n \rvert^2=2\pi \sum_{n=0}^{\infty} \lvert A_n\rvert ^2 r^{2n}$

Published on 13 Sep 2020 - 10:28

1.7k

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Sum/multiplication of two circulant matrices is a circulant matrix

Published on 13 Sep 2020 - 18:24

69

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Other simple proofs to derive the rotation formulas (for students of an high school)

Published on 08 Apr 2026 - 4:15

88

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A tricky inequality: $n(n+1)^{\frac{1}{n}}+(n-2)n^{\frac{1}{n-2}}>2n,\ n\geq3.$

Published on 17 Sep 2020 - 10:21

51

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Solving recurrence relation in two variables and multinomial expansion

Published on 10 Apr 2026 - 20:33

List Question

Prove that $\sum_{i=1}^{n} |\sin a_i| +|\cos s_n|\ge 1$

Loch Ness monster and Jacob's Ladder Surfaces are NOT homeomorphic

Find $f(x_0)$ if $f(x) = 0$ for all $x \gt x_0$

Solve the inequality $ a^{ab}c+b^{bc}a+c^{ca}b\leq 1-2abc$

Let $a, b, c$ be positive real numbers such that $abc=1$. Prove that an inequality holds true

Find all positive integers $N$ such that $N \cdot 2^{N+1}+1$ is a perfect square

Maximum of inversions

Finding the remainder of $7^{27}\mod 11$

A more efficient proof of associativity law for a given binary operation

Proof Verification: not set of all singletons

Prove that $\int_0^{2\pi} \lvert \sum_{n=0}^{\infty} A_n (re^{i\theta})^n \rvert^2=2\pi \sum_{n=0}^{\infty} \lvert A_n\rvert ^2 r^{2n}$

Sum/multiplication of two circulant matrices is a circulant matrix

Other simple proofs to derive the rotation formulas (for students of an high school)

A tricky inequality: $n(n+1)^{\frac{1}{n}}+(n-2)n^{\frac{1}{n-2}}>2n,\ n\geq3.$

Solving recurrence relation in two variables and multinomial expansion

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