Question

A problem related to the composition: $f^{-2}\circ g^2$

score 49 · Answer 1 · 2018-01-23 11:41:08

49

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A problem related to the composition: $f^{-2}\circ g^2$

Published on 23 Jan 2018 - 11:41

score 83 · Answer 2 · 2026-03-31 22:08:05

83

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Let $A=\{1,2,…,6\} , B=\{1,2,…,20\}$. How many functions $f: B\to B$ are there, such that $I_A \subseteq f$ and $f$ is onto?

Published on 31 Mar 2026 - 22:08

score 344 · Answer 3 · 2026-03-25 11:04:54

344

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Find minimum cardinality of set of subsets of pairwise semi-independent vertices in directed graph

Published on 25 Mar 2026 - 11:04

score 279 · Answer 4 · 2026-03-25 01:15:32

279

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Probability problem involving geometric distribution and expected value

Published on 25 Mar 2026 - 1:15

score 74 · Answer 5 · 2026-03-29 10:55:45

74

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Define an equivalence relation on $\{ 1,2,3,4 \}^2$ by: (, )(, ) if ⋅ = ⋅ . How many equivalence classes are there?

Published on 29 Mar 2026 - 10:55

score 157 · Answer 6 · 2026-03-25 14:09:47

157

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Solving linear homogeneous difference equation

Published on 25 Mar 2026 - 14:09

score 171 · Answer 7 · 2026-03-26 14:12:12

171

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Number of possibilities to seat $3$ pairs of husbands and wives so that at least one husband and wife sit together

Published on 26 Mar 2026 - 14:12

score 142 · Answer 8 · 2026-03-20 01:56:35

142

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Let $ \ x_1 <x_2 < ... < x_8 \ $ be the eight ﬁxed points of $ \ G^3(x) \ $ where $ \ G(x)= 4x(1−x) \ $

Published on 20 Mar 2026 - 1:56

score 339 · Answer 9 · 2026-03-25 06:04:33

339

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Calculate $\sum_{k=1}^{10}k{{10}\choose{k}}{{20}\choose{10-k}}$

Published on 25 Mar 2026 - 6:04

score 242 · Answer 10 · 2026-03-25 07:45:46

242

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Express $f(n+2)=f(n+1)+f(n)+(n+1)$, where $f(0)=0,f(1)=1$, as a Fibonacci Function

Published on 25 Mar 2026 - 7:45

score 2.1k · Answer 11 · 2018-01-23 21:21:26

2.1k

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Using logic laws to verify the logical equivalences

Published on 23 Jan 2018 - 21:21

score 128 · Answer 12 · 2026-03-25 02:56:35

128

Views

Given is density - Create a random variable with it

Published on 25 Mar 2026 - 2:56

score 1.1k · Answer 13 · 2018-01-23 23:25:40

1.1k

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Prove that an isometry f maps the circle c with center P and radius r onto the circle c' with center f(P) and radius r.

Published on 23 Jan 2018 - 23:25

score 53 · Answer 14 · 2018-01-24 00:01:40

53

Views

Choosing n numbers from a set and finding their sum

Published on 24 Jan 2018 - 0:01

score 180 · Answer 15 · 2026-03-29 05:10:45

180

Views

Got stuck doing a proof with logical equivalences

Published on 29 Mar 2026 - 5:10

List Question

A problem related to the composition: $f^{-2}\circ g^2$

Let $A=\{1,2,…,6\} , B=\{1,2,…,20\}$. How many functions $f: B\to B$ are there, such that $I_A \subseteq f$ and $f$ is onto?

Find minimum cardinality of set of subsets of pairwise semi-independent vertices in directed graph

Probability problem involving geometric distribution and expected value

Define an equivalence relation on $\{ 1,2,3,4 \}^2$ by: (, )(, ) if ⋅ = ⋅ . How many equivalence classes are there?

Solving linear homogeneous difference equation

Number of possibilities to seat $3$ pairs of husbands and wives so that at least one husband and wife sit together

Let $ \ x_1 <x_2 < ... < x_8 \ $ be the eight ﬁxed points of $ \ G^3(x) \ $ where $ \ G(x)= 4x(1−x) \ $

Calculate $\sum_{k=1}^{10}k{{10}\choose{k}}{{20}\choose{10-k}}$

Express $f(n+2)=f(n+1)+f(n)+(n+1)$, where $f(0)=0,f(1)=1$, as a Fibonacci Function

Using logic laws to verify the logical equivalences

Given is density - Create a random variable with it

Prove that an isometry f maps the circle c with center P and radius r onto the circle c' with center f(P) and radius r.

Choosing n numbers from a set and finding their sum

Got stuck doing a proof with logical equivalences

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