List questions from alternative-proof

Published on 16 Apr 2026 - 14:21

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How to proof the mid-point theorem without triangle congruence theorems?

Published on 25 Mar 2026 - 19:02

44

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$M_n(\mathfrak{A})'=\{T^{(n)}:T\in \mathfrak{A}'\}$; where $T^{(n)}:=T\oplus\dots\oplus T$ ($n$ times)

Published on 17 Apr 2026 - 9:36

84

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Find the maximum value $P=x^{2}(y-z)+y^{2}(z-y)+z^{2}(1-z)$

Published on 15 Apr 2026 - 11:26

294

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An alternative solution for $\displaystyle \int_0^{\pi/2}\sin (2nx)\cot x dx$

Published on 14 Apr 2026 - 3:44

436

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Proof of the eyeball theorem.

Published on 09 Apr 2026 - 8:54

94

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Using Abel's Theorem show that $\sum_{n=0}^{\infty} \frac{(-1)^{n+1}}{n}=\log 2$

Published on 14 Apr 2026 - 21:05

85

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Perpendicular lines in Isoceles triangle

Published on 09 Apr 2026 - 18:47

68

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Are There Proofs of Bertrand's Postulate that Don't Use Case Work?

Published on 13 Apr 2026 - 9:03

155

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How do I solve this integral $\displaystyle\int_{0}^{2\pi}e^{-\sin^{2}(x)}\cos\left(6x-\frac{\sin(2x)}{2}\right)\,dx$?

Published on 16 Apr 2026 - 19:26

63

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How do we find out the discriminant for this quadratic equation?

Published on 11 Apr 2026 - 4:53

127

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The reciprocal of Abel's Theorem for Limits

Published on 17 Apr 2026 - 23:35

79

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Proof involving fractions

Published on 09 Apr 2026 - 19:27

92

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ODE-separation of variables proof

Published on 11 Apr 2026 - 3:31

595

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In A a PID, $d=\gcd(a,b) \iff ax+by=d$

Published on 14 Apr 2026 - 0:19

List Question

If $f''(x) \le 0, \, \forall x \neq 0$ and $f$ is minimum at $0$, prove $f'(0)$ doesn't exist.

How to proof the mid-point theorem without triangle congruence theorems?

$M_n(\mathfrak{A})'=\{T^{(n)}:T\in \mathfrak{A}'\}$; where $T^{(n)}:=T\oplus\dots\oplus T$ ($n$ times)

Find the maximum value $P=x^{2}(y-z)+y^{2}(z-y)+z^{2}(1-z)$

An alternative solution for $\displaystyle \int_0^{\pi/2}\sin (2nx)\cot x dx$

Proof of the eyeball theorem.

Using Abel's Theorem show that $\sum_{n=0}^{\infty} \frac{(-1)^{n+1}}{n}=\log 2$

Perpendicular lines in Isoceles triangle

Are There Proofs of Bertrand's Postulate that Don't Use Case Work?

How do I solve this integral $\displaystyle\int_{0}^{2\pi}e^{-\sin^{2}(x)}\cos\left(6x-\frac{\sin(2x)}{2}\right)\,dx$?

How do we find out the discriminant for this quadratic equation?

The reciprocal of Abel's Theorem for Limits

Proof involving fractions

ODE-separation of variables proof

In A a PID, $d=\gcd(a,b) \iff ax+by=d$

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