List questions from alternative-proof

Published on 14 Apr 2026 - 23:06

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Calculate the value of $ abc \cdot (a + b + c) $

Published on 14 Apr 2026 - 23:13

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I need help verifying a few linear algebra proofs for trace of a matrix transposed and scalar distribution

Published on 11 Apr 2026 - 20:18

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How solve with a short way a problem on the sequences for students of a high school?

Published on 12 Apr 2026 - 15:12

79

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Is there a name for this theorem: if the angle between two vectors goes to zero, then all norms give the vectors the same ordering?

Published on 14 Apr 2026 - 8:00

170

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Elegant/streamlined proof of lattice isomorphism/correspondence theorem for groups?

Published on 11 Apr 2026 - 11:53

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show that $ker(T) ⊆ (M ∩ N) × (M ∩ N)$ and $ker(T) ∼= M ∩ N$.

Published on 16 Apr 2026 - 2:12

137

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Different ways to prove $\cos A+\cos B + \cos C=1+4\sin \frac A2 \sin \frac B2\sin \frac C2$

Published on 17 Apr 2026 - 15:59

173

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$im(P) ⊆ ker(P − I)$ iff $P^2 (x) = P(x)$ for all $x ∈ V$

Published on 16 Apr 2026 - 15:59

66

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Show $\ker(F) \cong A \cap B$

Published on 13 Apr 2026 - 20:32

167

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How to prove $\frac{ab^2}{1+2b^2+c^2}+\frac{bc^2}{1+2c^2+a^2}+\frac{ca^2}{1+2a^2+b^2} \le \frac{3}{4}$ if $a+b+c=3$

Published on 25 Mar 2026 - 23:42

61

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Prove that successive differences between square roots of integers decreases without using limits or derivatives

Published on 17 Apr 2026 - 1:22

195

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Induction inequality/ n in exponential

Published on 14 Apr 2026 - 9:21

171

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Geometric proof for harmonic form?

Published on 12 Apr 2026 - 21:39

45

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Connectedness of a set covered by connected sets

Published on 14 Apr 2026 - 16:18

List Question

$\arg(\frac{1+z}{1-z})$

Calculate the value of $ abc \cdot (a + b + c) $

I need help verifying a few linear algebra proofs for trace of a matrix transposed and scalar distribution

How solve with a short way a problem on the sequences for students of a high school?

Is there a name for this theorem: if the angle between two vectors goes to zero, then all norms give the vectors the same ordering?

Elegant/streamlined proof of lattice isomorphism/correspondence theorem for groups?

show that $ker(T) ⊆ (M ∩ N) × (M ∩ N)$ and $ker(T) ∼= M ∩ N$.

Different ways to prove $\cos A+\cos B + \cos C=1+4\sin \frac A2 \sin \frac B2\sin \frac C2$

$im(P) ⊆ ker(P − I)$ iff $P^2 (x) = P(x)$ for all $x ∈ V$

Show $\ker(F) \cong A \cap B$

How to prove $\frac{ab^2}{1+2b^2+c^2}+\frac{bc^2}{1+2c^2+a^2}+\frac{ca^2}{1+2a^2+b^2} \le \frac{3}{4}$ if $a+b+c=3$

Prove that successive differences between square roots of integers decreases without using limits or derivatives

Induction inequality/ n in exponential

Geometric proof for harmonic form?

Connectedness of a set covered by connected sets

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