Question

What form does the Law of Total Probability take if the partition you use is generated by the random variable Y?

score 82 · Answer 1 · 2026-03-22 08:57:23

82

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What form does the Law of Total Probability take if the partition you use is generated by the random variable Y?

Published on 22 Mar 2026 - 8:57

score 561 · Answer 2 · 2026-03-20 00:35:21

561

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Permutation induced by a partition

Published on 20 Mar 2026 - 0:35

score 3.5k · Answer 3 · 2026-03-22 07:10:41

3.5k

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Number of positive integral solutions of $a+b+c+d+e=20$ such that $a<b<c<d<e$ and $(a,b,c,d,e)$ is distinct

Published on 22 Mar 2026 - 7:10

score 203 · Answer 4 · 2026-03-20 03:37:47

203

Views

On a theorem (1.7) in Macdonald's Symmetric Functions and Hall Polynomials

Published on 20 Mar 2026 - 3:37

score 40 · Answer 5 · 2026-03-19 23:15:49

40

Views

Asymptotic behavior of the number of ways a real plane curve of degree $n$ can intersect a real line

Published on 19 Mar 2026 - 23:15

score 448 · Answer 6 · 2026-03-19 21:45:23

448

Views

Sum of the hook-lengths of a partition $\lambda$

Published on 19 Mar 2026 - 21:45

score 51 · Answer 7 · 2026-03-20 06:38:38

51

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On an example in Macdonald's Symmetric Functions and Hall Polynomials on Paritions and their Frobenius Notation

Published on 20 Mar 2026 - 6:38

score 278 · Answer 8 · 2026-03-20 04:25:19

To show that $\sum_{x \in \lambda}(h(x)^2 - c(x)^2)=|\lambda|^2$, $h(x)$ is hook-length & $c(x)$ content of $x$, a block in the diagram of $\lambda$

score 275 · Answer 9 · 2026-03-20 01:15:53

275

Views

Decompose the permutation module $M^{(2, 2)}$ into irreducible representations.

Published on 20 Mar 2026 - 1:15

score 91 · Answer 10 · 2026-03-21 14:44:21

91

Views

What does s(n) = s(n) mean?

Published on 21 Mar 2026 - 14:44

score 86 · Answer 11 · 2026-03-22 05:47:00

86

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Maximizing $\sum\left(\lfloor \frac{n_i}{2} \rfloor+1\right)$ for a partition $\{n_i\}$ of $N$

Published on 22 Mar 2026 - 5:47

score 42 · Answer 12 · 2026-03-25 04:44:04

42

Views

Modified HRR partition function to detect primes without factorisation

Published on 25 Mar 2026 - 4:44

score 106 · Answer 13 · 2026-03-25 04:42:42

106

Views

Number of combinations to draw the sum $n$ from set of $\{1,\dots,n\}$

Published on 25 Mar 2026 - 4:42

score 106 · Answer 14 · 2026-03-17 07:39:34

$M \lambda=\mu \implies \lambda \geq \mu$, where $\lambda, \mu$ are partitions of $n$, and $M$ is a $n \times n$ double stochastic matrix

score 191 · Answer 15 · 2026-03-25 04:36:27

191

Views

Uniqueness of a P-measurable random variable

Published on 25 Mar 2026 - 4:36

List Question

What form does the Law of Total Probability take if the partition you use is generated by the random variable Y?

Permutation induced by a partition

Number of positive integral solutions of $a+b+c+d+e=20$ such that $a<b<c<d<e$ and $(a,b,c,d,e)$ is distinct

On a theorem (1.7) in Macdonald's Symmetric Functions and Hall Polynomials

Asymptotic behavior of the number of ways a real plane curve of degree $n$ can intersect a real line

Sum of the hook-lengths of a partition $\lambda$

On an example in Macdonald's Symmetric Functions and Hall Polynomials on Paritions and their Frobenius Notation

To show that $\sum_{x \in \lambda}(h(x)^2 - c(x)^2)=|\lambda|^2$, $h(x)$ is hook-length & $c(x)$ content of $x$, a block in the diagram of $\lambda$

Decompose the permutation module $M^{(2, 2)}$ into irreducible representations.

What does s(n) = s(n) mean?

Maximizing $\sum\left(\lfloor \frac{n_i}{2} \rfloor+1\right)$ for a partition $\{n_i\}$ of $N$

Modified HRR partition function to detect primes without factorisation

Number of combinations to draw the sum $n$ from set of $\{1,\dots,n\}$

$M \lambda=\mu \implies \lambda \geq \mu$, where $\lambda, \mu$ are partitions of $n$, and $M$ is a $n \times n$ double stochastic matrix

Uniqueness of a P-measurable random variable

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