Question

Proving (without using complex numbers) that a real polynomial has a quadratic factor

score 1k · Answer 1 · 2016-02-29 16:47:31

1k

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Proving (without using complex numbers) that a real polynomial has a quadratic factor

Published on 29 Feb 2016 - 16:47

score 509 · Answer 2 · 2026-03-29 02:36:06

509

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Does the functional equation $p(x^2)=p(x)p(x+1)$ have a combinatorial interpretation?

Published on 29 Mar 2026 - 2:36

score 285 · Answer 3 · 2016-03-03 03:35:29

285

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Looking for the most elementary proof that $48X^4+12X^2+1=Y^2$ has no non-trivial integer solution.

Published on 03 Mar 2016 - 3:35

score 208 · Answer 4 · 2026-03-27 08:41:22

208

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square matrix $\mathbf{A}$ with $\mathbf{A}^\intercal = -\mathbf{A}$, proof $\mathbf{A}$ is not invertible.

Published on 27 Mar 2026 - 8:41

score 811 · Answer 5 · 2016-03-07 20:55:01

811

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Intuition behind orthogonal sin functions

Published on 07 Mar 2016 - 20:55

score 75 · Answer 6 · 2026-04-01 08:03:51

75

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Proving that $z^4-6z^2+4z-3 = y^2$ has only one integer solution

Published on 01 Apr 2026 - 8:03

score 26 · Answer 7 · 2016-03-04 09:22:11

26

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How to prove mathematically these two different definitions of background-position property as equivalent?

Published on 04 Mar 2016 - 9:22

score 117 · Answer 8 · 2016-03-09 12:37:19

117

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proof - $\gcd(a, m) = \gcd(b, m) = 1 \implies \gcd(ab, m^2) =1$

Published on 09 Mar 2016 - 12:37

score 1.1k · Answer 9 · 2016-03-09 15:48:48

1.1k

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Reference request for "Elementary" Proofs of Picard's Great Theorem

Published on 09 Mar 2016 - 15:48

score 329 · Answer 10 · 2026-02-23 15:32:45

329

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Improving the proof for: $A$ is equicontinuous, show that $\overline A$ is equicontinuous

Published on 23 Feb 2026 - 15:32

score 212 · Answer 11 · 2016-03-12 12:52:59

212

Views

How to prove this complex inequality elegantly?

Published on 12 Mar 2016 - 12:52

score 373 · Answer 12 · 2026-04-08 06:34:55

373

Views

Proof of Sophomore's Dream using Contour Integration

Published on 08 Apr 2026 - 6:34

score 528 · Answer 13 · 2016-03-16 09:46:59

528

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Determinant of $n\times n$ matrix with parameter

Published on 16 Mar 2016 - 9:46

score 205 · Answer 14 · 2016-03-17 06:51:44

205

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Show $\binom{a}{b}\binom{b}{c}=\binom{a}{a-c}\binom{a-c}{a-b}$

Published on 17 Mar 2016 - 6:51

score 1k · Answer 15 · 2016-03-17 17:25:22

1k

Views

If $f,g: X\to Y$ be two functions continuous on $X$ then show that $\{x:f(x)=g(x)\}$ is closed in $X$

Published on 17 Mar 2016 - 17:25

List Question

Proving (without using complex numbers) that a real polynomial has a quadratic factor

Does the functional equation $p(x^2)=p(x)p(x+1)$ have a combinatorial interpretation?

Looking for the most elementary proof that $48X^4+12X^2+1=Y^2$ has no non-trivial integer solution.

square matrix $\mathbf{A}$ with $\mathbf{A}^\intercal = -\mathbf{A}$, proof $\mathbf{A}$ is not invertible.

Intuition behind orthogonal sin functions

Proving that $z^4-6z^2+4z-3 = y^2$ has only one integer solution

How to prove mathematically these two different definitions of background-position property as equivalent?

proof - $\gcd(a, m) = \gcd(b, m) = 1 \implies \gcd(ab, m^2) =1$

Reference request for "Elementary" Proofs of Picard's Great Theorem

Improving the proof for: $A$ is equicontinuous, show that $\overline A$ is equicontinuous

How to prove this complex inequality elegantly?

Proof of Sophomore's Dream using Contour Integration

Determinant of $n\times n$ matrix with parameter

Show $\binom{a}{b}\binom{b}{c}=\binom{a}{a-c}\binom{a-c}{a-b}$

If $f,g: X\to Y$ be two functions continuous on $X$ then show that $\{x:f(x)=g(x)\}$ is closed in $X$

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