Question

Prove the operator is positive

score 1.4k · Answer 1 · 2015-03-11 14:50:53

1.4k

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Prove the operator is positive

Published on 11 Mar 2015 - 14:50

score 89 · Answer 2 · 2015-03-14 21:59:56

89

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Solutions to the heat equation given certain growth conditions

Published on 14 Mar 2015 - 21:59

score 954 · Answer 3 · 2015-03-17 12:04:02

954

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Alternative proof that Harmonic sum is not an integer

Published on 17 Mar 2015 - 12:04

score 116 · Answer 4 · 2015-03-21 04:03:14

116

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Consider a linear operator $L$ and some polynomial of it, $L'=p(L)$. Show that the minimal polynomial of $L'$ has smaller degree than that of $L$.

Published on 21 Mar 2015 - 4:03

score 771 · Answer 5 · 2026-04-02 20:03:42

771

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adjoint of an operator. on $L^2(0,1)$, $Bf(x)=\int_0^x f(t)dt$

Published on 02 Apr 2026 - 20:03

score 478 · Answer 6 · 2015-03-23 06:17:34

478

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Geometric proof of this property of the ellipse

Published on 23 Mar 2015 - 6:17

score 5.3k · Answer 7 · 2026-03-25 20:42:29

5.3k

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Is there a memorable solution to Kirkman's School Girl Problem?

Published on 25 Mar 2026 - 20:42

score 71 · Answer 8 · 2026-04-07 01:42:42

71

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How to show that a function is continuous in the topology of weak convergence

Published on 07 Apr 2026 - 1:42

score 101 · Answer 9 · 2015-03-24 19:35:26

101

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Determine the values such that series converges $\sum\limits_{n = 1}^\infty \frac{(-1)^n}{2n+1}\left(\frac{1-x}{1+x}\right)^n$

Published on 24 Mar 2015 - 19:35

score 1.4k · Answer 10 · 2015-03-25 07:46:03

1.4k

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Proof that real multiplication distributes over addition using Dedekind cuts?

Published on 25 Mar 2015 - 7:46

score 1.1k · Answer 11 · 2026-04-02 23:37:04

1.1k

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Is there a much simpler proof for Euler factorial formula?

Published on 02 Apr 2026 - 23:37

score 70 · Answer 12 · 2015-04-02 22:33:29

70

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If $x>y$, then $x \bmod y < \frac{x}{2}$

Published on 02 Apr 2015 - 22:33

score 339 · Answer 13 · 2015-04-03 17:39:58

339

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Proving $2^{2^n}+3^{2^n}+5^{2^n}$ is divisible by $19$ for all $n\geq 1$ by induction

Published on 03 Apr 2015 - 17:39

score 429 · Answer 14 · 2015-04-03 23:28:47

429

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How can one prove the existence and uniqueness of solutions to linear differential equations?

Published on 03 Apr 2015 - 23:28

score 197 · Answer 15 · 2026-03-26 16:05:02

197

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Examples of proofs of irrationality without using contradiction

Published on 26 Mar 2026 - 16:05

List Question

Prove the operator is positive

Solutions to the heat equation given certain growth conditions

Alternative proof that Harmonic sum is not an integer

Consider a linear operator $L$ and some polynomial of it, $L'=p(L)$. Show that the minimal polynomial of $L'$ has smaller degree than that of $L$.

adjoint of an operator. on $L^2(0,1)$, $Bf(x)=\int_0^x f(t)dt$

Geometric proof of this property of the ellipse

Is there a memorable solution to Kirkman's School Girl Problem?

How to show that a function is continuous in the topology of weak convergence

Determine the values such that series converges $\sum\limits_{n = 1}^\infty \frac{(-1)^n}{2n+1}\left(\frac{1-x}{1+x}\right)^n$

Proof that real multiplication distributes over addition using Dedekind cuts?

Is there a much simpler proof for Euler factorial formula?

If $x>y$, then $x \bmod y < \frac{x}{2}$

Proving $2^{2^n}+3^{2^n}+5^{2^n}$ is divisible by $19$ for all $n\geq 1$ by induction

How can one prove the existence and uniqueness of solutions to linear differential equations?

Examples of proofs of irrationality without using contradiction

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