Question

Let $f : [0,1] \to \mathbb R$ satisfy $\sum_1^n |f(t_i) - f(t_{i-1})|^2 < 100$ for any $ \leq t_0 < t_1 < ...< t_n \leq 1$. Prove $f$ is integrable

score 59 · Answer 1 · 2026-03-29 08:15:55

59

Views

Let $f : [0,1] \to \mathbb R$ satisfy $\sum_1^n |f(t_i) - f(t_{i-1})|^2 < 100$ for any $ \leq t_0 < t_1 < ...< t_n \leq 1$. Prove $f$ is integrable

Published on 29 Mar 2026 - 8:15

score 91 · Answer 2 · 2026-03-27 04:59:17

91

Views

Prove $\sup(A^2) = (\sup(A))^2$

Published on 27 Mar 2026 - 4:59

score 48 · Answer 3 · 2026-03-25 12:23:55

48

Views

Finding All Four-Digit Palindrome Pairs

Published on 25 Mar 2026 - 12:23

score 276 · Answer 4 · 2023-09-10 01:43:10

276

Views

Integral Calculus Question: $ g\left(x\right)=\int\frac{x^2-12}{\left(x^2-6x+k^2\right)^2}dx $ where $k \in \Bbb N$

Published on 10 Sep 2023 - 1:43

score 123 · Answer 5 · 2023-09-11 22:50:27

123

Views

Help Needed with Counting Votes for Candidates A and B

Published on 11 Sep 2023 - 22:50

score 73 · Answer 6 · 2026-02-23 04:51:48

73

Views

Marginal Posterior Distribution for Multinomial/Dirichlet Variables

Published on 23 Feb 2026 - 4:51

score 97 · Answer 7 · 2023-09-13 14:20:40

97

Views

Proof for $\sum_{k=0}^{n}\frac{(-1)^k}{k+1}\binom{n}{k}=\frac{1}{n+1}$ using induction.

Published on 13 Sep 2023 - 14:20

score 50 · Answer 8 · 2026-03-25 19:03:19

50

Views

Arithmetic Geometric Mean inequality, Book "Problem Solving Strategies" by Arthur Engel.

Published on 25 Mar 2026 - 19:03

score 34 · Answer 9 · 2023-09-20 04:17:36

Showing that $\bigvee\limits_{i\in I}\mathcal A_i=\bigcup\limits_{I_0\subset I,\text{ countable}}\bigvee\limits_{i\in I_0}\mathcal A_i$.

score 106 · Answer 10 · 2023-09-20 12:59:17

106

Views

Cannot solve an trigonometric equation

Published on 20 Sep 2023 - 12:59

score 35 · Answer 11 · 2023-09-22 03:24:07

35

Views

Question about a product with connections to geometry

Published on 22 Sep 2023 - 3:24

score 102 · Answer 12 · 2026-02-23 07:47:41

102

Views

If $\mathbb{N}$ is partitioned into finitely many subsets, must one of the subsets be a finite basis?

Published on 23 Feb 2026 - 7:47

score 772 · Answer 13 · 2026-03-29 11:42:28

772

Views

Evaluating a value from symmetric polynomials

Published on 29 Mar 2026 - 11:42

score 79 · Answer 14 · 2023-09-26 03:25:43

79

Views

What is the probability of grabbing two socks of the same color when selecting three socks at random from the drawer?

Published on 26 Sep 2023 - 3:25

score 124 · Answer 15 · 2023-09-30 11:35:56

124

Views

Inequality problem involving sine function

Published on 30 Sep 2023 - 11:35

List Question

Let $f : [0,1] \to \mathbb R$ satisfy $\sum_1^n |f(t_i) - f(t_{i-1})|^2 < 100$ for any $ \leq t_0 < t_1 < ...< t_n \leq 1$. Prove $f$ is integrable

Prove $\sup(A^2) = (\sup(A))^2$

Finding All Four-Digit Palindrome Pairs

Integral Calculus Question: $ g\left(x\right)=\int\frac{x^2-12}{\left(x^2-6x+k^2\right)^2}dx $ where $k \in \Bbb N$

Help Needed with Counting Votes for Candidates A and B

Marginal Posterior Distribution for Multinomial/Dirichlet Variables

Proof for $\sum_{k=0}^{n}\frac{(-1)^k}{k+1}\binom{n}{k}=\frac{1}{n+1}$ using induction.

Arithmetic Geometric Mean inequality, Book "Problem Solving Strategies" by Arthur Engel.

Showing that $\bigvee\limits_{i\in I}\mathcal A_i=\bigcup\limits_{I_0\subset I,\text{ countable}}\bigvee\limits_{i\in I_0}\mathcal A_i$.

Cannot solve an trigonometric equation

Question about a product with connections to geometry

If $\mathbb{N}$ is partitioned into finitely many subsets, must one of the subsets be a finite basis?

Evaluating a value from symmetric polynomials

What is the probability of grabbing two socks of the same color when selecting three socks at random from the drawer?

Inequality problem involving sine function

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