Question

Proof for Division Algorithm, from the book Contemporary Abstract Algebra by Joseph A. Gallian

score 116 · Answer 1 · 2026-04-09 04:01:40

116

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Proof for Division Algorithm, from the book Contemporary Abstract Algebra by Joseph A. Gallian

Published on 09 Apr 2026 - 4:01

score 125 · Answer 2 · 2026-04-11 13:04:14

125

Views

Some doubts about proof of Strong Law of Large Numbers

Published on 11 Apr 2026 - 13:04

score 30 · Answer 3 · 2026-04-13 19:17:38

30

Views

Variance of $X$, an uniformly random sum from a finite set $S$.

Published on 13 Apr 2026 - 19:17

score 123 · Answer 4 · 2026-04-16 10:22:46

123

Views

Doubt regarding the proof of row rank = column rank

Published on 16 Apr 2026 - 10:22

score 38 · Answer 5 · 2026-04-17 15:49:01

38

Views

m pages are printed, and the number of pages misprinted is never even. Why is any of the m-1 events $E_i =$ {misprint in the ith page} are m.i.?

Published on 17 Apr 2026 - 15:49

score 325 · Answer 6 · 2026-04-10 23:54:46

325

Views

Proof of uniqueness of Laplace Transform

Published on 10 Apr 2026 - 23:54

score 73 · Answer 7 · 2026-04-23 01:37:54

73

Views

Explain a section of Euclid's Theorem on an infinite number of prime numbers.

Published on 23 Apr 2026 - 1:37

score 33 · Answer 8 · 2026-03-25 17:42:05

33

Views

For $G \sim G(n, 0.5)$, $I$ a $k$-set of vertices, and event $E_I = \{G[I] \cong K_k \text{ or } K_k^c \}$, how many events does $E_I$ depend on?

Published on 25 Mar 2026 - 17:42

score 124 · Answer 9 · 2026-04-14 09:53:52

124

Views

Countability of the set $(0,1)$

Published on 14 Apr 2026 - 9:53

score 50 · Answer 10 · 2026-04-16 09:33:10

50

Views

Maximum $n$ such that $e2^{1 - {k \choose 2}}{k \choose 2}{{n-2} \choose {k-2}} \leq 1$, as $k \to \infty$.

Published on 16 Apr 2026 - 9:33

score 35 · Answer 11 · 2026-04-13 21:34:06

35

Views

Understanding transitivity of set elements

Published on 13 Apr 2026 - 21:34

score 18 · Answer 12 · 2026-04-11 22:53:53

18

Views

Help to understand a possible misunderstanding mine concerning to the proof that the resolvent of the Laplacian is compact

Published on 11 Apr 2026 - 22:53

score 2.5k · Answer 13 · 2026-04-12 23:32:32

2.5k

Views

Probability: proving $E(X)=np$

Published on 12 Apr 2026 - 23:32

score 2k · Answer 14 · 2026-04-13 00:56:20

2k

Views

How do you prove that given propositions are inconsistent?

Published on 13 Apr 2026 - 0:56

score 100 · Answer 15 · 2026-04-29 23:06:52

100

Views

Understanding the proof of: $p$ is prime and $a \in \mathbb{Z}_p \implies x^p - a \in \mathbb{Z}_p$ is reducible.

Published on 29 Apr 2026 - 23:06

List Question

Proof for Division Algorithm, from the book Contemporary Abstract Algebra by Joseph A. Gallian

Some doubts about proof of Strong Law of Large Numbers

Variance of $X$, an uniformly random sum from a finite set $S$.

Doubt regarding the proof of row rank = column rank

m pages are printed, and the number of pages misprinted is never even. Why is any of the m-1 events $E_i =$ {misprint in the ith page} are m.i.?

Proof of uniqueness of Laplace Transform

Explain a section of Euclid's Theorem on an infinite number of prime numbers.

For $G \sim G(n, 0.5)$, $I$ a $k$-set of vertices, and event $E_I = \{G[I] \cong K_k \text{ or } K_k^c \}$, how many events does $E_I$ depend on?

Countability of the set $(0,1)$

Maximum $n$ such that $e2^{1 - {k \choose 2}}{k \choose 2}{{n-2} \choose {k-2}} \leq 1$, as $k \to \infty$.

Understanding transitivity of set elements

Help to understand a possible misunderstanding mine concerning to the proof that the resolvent of the Laplacian is compact

Probability: proving $E(X)=np$

How do you prove that given propositions are inconsistent?

Understanding the proof of: $p$ is prime and $a \in \mathbb{Z}_p \implies x^p - a \in \mathbb{Z}_p$ is reducible.

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