Question

Verifying simplification of simple logic expressions

score 28 · Answer 1 · 2020-04-12 09:29:42

28

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Verifying simplification of simple logic expressions

Published on 12 Apr 2020 - 9:29

score 38 · Answer 2 · 2020-04-12 11:33:25

38

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how would I go about proving that a set of sets is a subset of a power set?

Published on 12 Apr 2020 - 11:33

score 186 · Answer 3 · 2020-04-12 11:42:34

186

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Let $n > 1$ be a natural number and $p$ be a prime such that $p\mid n^3-1$ and $n\mid p-1$. Prove that $4p-3$ is a perfect square.

Published on 12 Apr 2020 - 11:42

score 262 · Answer 4 · 2020-04-12 13:13:29

262

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Conjecture Prove that : $\sum_{cyc}\frac{a}{a^n+1}\leq \sum_{cyc}\frac{a}{a^2+1}\leq \frac{3}{2}$

Published on 12 Apr 2020 - 13:13

score 1.1k · Answer 5 · 2020-04-12 14:21:11

1.1k

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Prove that if $0 \leq a < b$ and $0 \leq c < d$, then $ac < bd$.

Published on 12 Apr 2020 - 14:21

score 49 · Answer 6 · 2026-03-29 03:36:24

49

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What is the inverse of the parabolic mapping given by $F(\sigma, \tau) = (\sigma\tau, (\tau^2-\sigma^2)/2) $

Published on 29 Mar 2026 - 3:36

score 1.2k · Answer 7 · 2020-04-12 17:52:52

1.2k

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A box contains some red and yellow balls. If one red ball is removed ...

Published on 12 Apr 2020 - 17:52

score 61 · Answer 8 · 2026-03-27 22:53:56

61

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Prove that $V = W_{1}\oplus W_{2}$ iff each vector in $V$ can be uniquely written as $w_{1}+w_{2}$ where $w_{1}\in W_{1}$ and $w_{2}\in W_{2}$.

Published on 27 Mar 2026 - 22:53

score 332 · Answer 9 · 2020-04-12 20:34:16

332

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Show that, if $S_{1}\subseteq S_{2}$, then $\text{span}(S_{1})\subseteq\text{span}(S_{2})$.

Published on 12 Apr 2020 - 20:34

score 662 · Answer 10 · 2026-03-28 01:46:22

662

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Surface integral of vector field over a parametric surface

Published on 28 Mar 2026 - 1:46

score 250 · Answer 11 · 2020-04-12 21:03:01

250

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Let S,T be sets, satisfying the property : $\forall x \in T$, $x \notin S$. Prove that $S \cap T = \varnothing$

Published on 12 Apr 2020 - 21:03

score 89 · Answer 12 · 2020-04-12 21:23:29

89

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Pinter's Abstract Algebra, Chapter 28, Exercise B2.

Published on 12 Apr 2020 - 21:23

score 53 · Answer 13 · 2020-04-12 22:30:58

53

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Pinter's Abstract Algebra, Chapter 28, Exercise B4.

Published on 12 Apr 2020 - 22:30

score 634 · Answer 14 · 2026-04-02 20:58:31

634

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$\phi : R \to R’$ is an onto ring homomorphism. $1 \in R$. Then $\phi(1) \in R’$ is the unit element of $R’$.

Published on 02 Apr 2026 - 20:58

score 141 · Answer 15 · 2020-04-13 05:01:55

141

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Limit points of $\frac{1}{n}+\frac{1}{m}$ where $n$, $m$ are non-zero integers

Published on 13 Apr 2020 - 5:01

List Question

Verifying simplification of simple logic expressions

how would I go about proving that a set of sets is a subset of a power set?

Let $n > 1$ be a natural number and $p$ be a prime such that $p\mid n^3-1$ and $n\mid p-1$. Prove that $4p-3$ is a perfect square.

Conjecture Prove that : $\sum_{cyc}\frac{a}{a^n+1}\leq \sum_{cyc}\frac{a}{a^2+1}\leq \frac{3}{2}$

Prove that if $0 \leq a < b$ and $0 \leq c < d$, then $ac < bd$.

What is the inverse of the parabolic mapping given by $F(\sigma, \tau) = (\sigma\tau, (\tau^2-\sigma^2)/2) $

A box contains some red and yellow balls. If one red ball is removed ...

Prove that $V = W_{1}\oplus W_{2}$ iff each vector in $V$ can be uniquely written as $w_{1}+w_{2}$ where $w_{1}\in W_{1}$ and $w_{2}\in W_{2}$.

Show that, if $S_{1}\subseteq S_{2}$, then $\text{span}(S_{1})\subseteq\text{span}(S_{2})$.

Surface integral of vector field over a parametric surface

Let S,T be sets, satisfying the property : $\forall x \in T$, $x \notin S$. Prove that $S \cap T = \varnothing$

Pinter's Abstract Algebra, Chapter 28, Exercise B2.

Pinter's Abstract Algebra, Chapter 28, Exercise B4.

$\phi : R \to R’$ is an onto ring homomorphism. $1 \in R$. Then $\phi(1) \in R’$ is the unit element of $R’$.

Limit points of $\frac{1}{n}+\frac{1}{m}$ where $n$, $m$ are non-zero integers

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