List questions from self-learning

Published on 15 Mar 2014 - 7:54

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Periodic absolute value function

Published on 27 Mar 2026 - 23:38

144

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Does $\int_1^\infty \frac{\log x}{x^{3}} \sin x \,dx $ exist?

Published on 15 Mar 2014 - 15:22

5k

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How to prove the supremum of this set is 1

Published on 15 Mar 2014 - 15:30

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Proof Verification: Show sequence is bounded and find limit: $x_1 \gt 1$ and $x_{n + 1} = 2 - \frac{1}{x_n}$

Published on 16 Mar 2014 - 1:26

77

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primitive root of residue modulo p

Published on 16 Mar 2014 - 8:38

1.3k

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Derivatives of sine and cosine at $x=0$ give all values of $\frac{d}{dx}\sin x$ and $\frac{d}{dx}\cos x$?

Published on 16 Mar 2014 - 10:57

445

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Prove that the empirical measure is a measurable fucntion

Published on 16 Mar 2014 - 17:28

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$a, z_1 \gt 0$ and $z_{n + 1} = (a + z_n)^{\frac 1 2}$ then $(z_n)$ is monotone and bounded?

Published on 17 Mar 2014 - 1:40

162

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circular differentiation

Published on 17 Mar 2014 - 8:05

5.9k

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Why can't you pick socks using coin flips?

Published on 17 Mar 2014 - 15:39

365

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Books (and supporting material) that are useful in deconstructing one's intuition?

Published on 17 Mar 2014 - 18:19

34.6k

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Proof Verification - Every sequence in $\Bbb R$ contains a monotone sub-sequence

Published on 18 Mar 2014 - 5:31

61

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Could you please show some hints about the proof

Published on 18 Mar 2014 - 7:10

90

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Where am I going wrong? Converging sequence

Published on 18 Mar 2014 - 14:47

List Question

A question about outer measure.

Periodic absolute value function

Does $\int_1^\infty \frac{\log x}{x^{3}} \sin x \,dx $ exist?

How to prove the supremum of this set is 1

Proof Verification: Show sequence is bounded and find limit: $x_1 \gt 1$ and $x_{n + 1} = 2 - \frac{1}{x_n}$

primitive root of residue modulo p

Derivatives of sine and cosine at $x=0$ give all values of $\frac{d}{dx}\sin x$ and $\frac{d}{dx}\cos x$?

Prove that the empirical measure is a measurable fucntion

$a, z_1 \gt 0$ and $z_{n + 1} = (a + z_n)^{\frac 1 2}$ then $(z_n)$ is monotone and bounded?

circular differentiation

Why can't you pick socks using coin flips?

Books (and supporting material) that are useful in deconstructing one's intuition?

Proof Verification - Every sequence in $\Bbb R$ contains a monotone sub-sequence

Could you please show some hints about the proof

Where am I going wrong? Converging sequence

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