List questions from alternative-proof

Published on 16 May 2014 - 14:32

707

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A Shorter Proof of Rosser's Theorem Without Using The Prime Number Theorem

Published on 17 May 2014 - 16:58

1.1k

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Prove that if $S$ has a greatest element $b$, then $b = lubS$.

Published on 17 May 2014 - 21:17

67

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Proving a simple claim concerning order without using LaGrange's Theorem

Published on 18 May 2014 - 2:00

373

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Prove that $4^n$ is not divisible by 3.

Published on 19 May 2014 - 18:38

187

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Fourier Series of $f(x)=e^x$ on $[0,\pi)$ as a function of period $\pi$

Published on 23 May 2014 - 12:13

2.8k

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Can some one explain me a easy alternate proof of rank nullity theorem?

Published on 24 May 2014 - 13:05

702

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Find a short formula for $\sin x+\sin (x+y)+\sin (x+2y)+. . .+\sin (x+(n-1)y)$

Published on 26 Mar 2026 - 13:00

171

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Force between two parallel wires?

Published on 24 May 2014 - 16:40

50

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Different way showing a subgroup is a subgroup of another subgroup

Published on 24 May 2014 - 19:40

4.5k

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A snappy proof of Fatou's lemma

Published on 27 May 2014 - 1:54

25.3k

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Characterization of positive definite matrix with principal minors

Published on 26 Mar 2026 - 20:40

3k

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Same characteristic polynomial $\iff$ same eigenvalues?

Published on 28 May 2014 - 10:15

3k

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Ended Competition: What is the shortest proof of $\exists x \forall y (D(x) \to D(y)) $?

Published on 25 Mar 2026 - 18:59

4.6k

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Proving the open interval $(0,1)$ is uncountable

Published on 29 May 2014 - 13:25

List Question

Union of finite linearly independent subsets of eigenspaces, is a lin-indep subset.

A Shorter Proof of Rosser's Theorem Without Using The Prime Number Theorem

Prove that if $S$ has a greatest element $b$, then $b = lubS$.

Proving a simple claim concerning order without using LaGrange's Theorem

Prove that $4^n$ is not divisible by 3.

Fourier Series of $f(x)=e^x$ on $[0,\pi)$ as a function of period $\pi$

Can some one explain me a easy alternate proof of rank nullity theorem?

Find a short formula for $\sin x+\sin (x+y)+\sin (x+2y)+. . .+\sin (x+(n-1)y)$

Force between two parallel wires?

Different way showing a subgroup is a subgroup of another subgroup

A snappy proof of Fatou's lemma

Characterization of positive definite matrix with principal minors

Same characteristic polynomial $\iff$ same eigenvalues?

Ended Competition: What is the shortest proof of $\exists x \forall y (D(x) \to D(y)) $?

Proving the open interval $(0,1)$ is uncountable

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