Question

Show that the three sets $A\setminus B$, $A\cap B$, and $B\setminus A$ are disjoint and that their union is $A\cup B$

score 160 · Answer 1 · 2026-04-16 14:06:34

160

Views

Show that the three sets $A\setminus B$, $A\cap B$, and $B\setminus A$ are disjoint and that their union is $A\cup B$

Published on 16 Apr 2026 - 14:06

score 59 · Answer 2 · 2026-04-11 04:15:10

59

Views

Proving a special case of Bézout’s Identity

Published on 11 Apr 2026 - 4:15

score 17 · Answer 3 · 2026-04-17 09:05:57

Given pedersen commitments of some elements, how to prove that the sum of only one subset of these elements is equal to the given element θ？

score 312 · Answer 4 · 2026-05-11 03:10:18

312

Views

Prove or disprove: the average of any two odd integers is always odd

Published on 11 May 2026 - 3:10

score 73 · Answer 5 · 2026-04-16 03:23:12

73

Views

A box has 10 cards numbered 1 to 10. If 3 cards are drawn(without replacement), Find probability that sum of numbers on cards drawn is divisible by 3?

Published on 16 Apr 2026 - 3:23

score 30 · Answer 6 · 2026-04-14 05:13:23

30

Views

The convergence of a sub-additive sequence of real numbers

Published on 14 Apr 2026 - 5:13

score 41 · Answer 7 · 2026-04-17 01:56:38

41

Views

If $T ◦ R$ and $T ◦ S$ are disjoint, then so are $R$ and $S$.

Published on 17 Apr 2026 - 1:56

score 45 · Answer 8 · 2026-04-11 17:36:01

45

Views

Am I thinking correct in the proof of $C(a) \subseteq C(a^k)$

Published on 11 Apr 2026 - 17:36

score 53 · Answer 9 · 2026-04-15 01:21:31

53

Views

Brezis' exercise 6.23.7: prove that $\|T^n\| \le \frac{1}{n!}$

Published on 15 Apr 2026 - 1:21

score 25 · Answer 10 · 2026-04-11 19:14:16

25

Views

Infinite Intersection of closed subintervals

Published on 11 Apr 2026 - 19:14

score 32 · Answer 11 · 2026-04-09 21:59:43

32

Views

Correctness of proof of uniqueness of Fitting decomposition

Published on 09 Apr 2026 - 21:59

score 48 · Answer 12 · 2026-04-13 14:18:45

48

Views

Nature of the set of deltas in limit definition

Published on 13 Apr 2026 - 14:18

score 75 · Answer 13 · 2026-04-15 00:21:23

75

Views

Sequence convergence proof $\frac{n}{n+1}$ =1

Published on 15 Apr 2026 - 0:21

score 92 · Answer 14 · 2026-04-15 09:09:12

92

Views

Brezis' exercise 6.24.1: prove that $T$ is positive IFF $\sigma (T) \subset [0, \infty)$

Published on 15 Apr 2026 - 9:09

score 72 · Answer 15 · 2026-04-16 12:33:46

72

Views

define $f:(0,1]\to(0,1)$ by: if $x=\frac{1}{n}$ for $n\in\mathbb{N}$, then $f(x)=\frac{1}{n+1}$, else $f(x)=x$. Is this a bijection?

Published on 16 Apr 2026 - 12:33

List Question

Show that the three sets $A\setminus B$, $A\cap B$, and $B\setminus A$ are disjoint and that their union is $A\cup B$

Proving a special case of Bézout’s Identity

Given pedersen commitments of some elements, how to prove that the sum of only one subset of these elements is equal to the given element θ？

Prove or disprove: the average of any two odd integers is always odd

A box has 10 cards numbered 1 to 10. If 3 cards are drawn(without replacement), Find probability that sum of numbers on cards drawn is divisible by 3?

The convergence of a sub-additive sequence of real numbers

If $T ◦ R$ and $T ◦ S$ are disjoint, then so are $R$ and $S$.

Am I thinking correct in the proof of $C(a) \subseteq C(a^k)$

Brezis' exercise 6.23.7: prove that $\|T^n\| \le \frac{1}{n!}$

Infinite Intersection of closed subintervals

Correctness of proof of uniqueness of Fitting decomposition

Nature of the set of deltas in limit definition

Sequence convergence proof $\frac{n}{n+1}$ =1

Brezis' exercise 6.24.1: prove that $T$ is positive IFF $\sigma (T) \subset [0, \infty)$

define $f:(0,1]\to(0,1)$ by: if $x=\frac{1}{n}$ for $n\in\mathbb{N}$, then $f(x)=\frac{1}{n+1}$, else $f(x)=x$. Is this a bijection?

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