Question

Determine in how many ways the amount of 50 can be paid by bank notes of 1, 2, 5, 10, and 20

score 104 · Answer 1 · 2021-02-25 15:03:27

104

Views

Determine in how many ways the amount of 50 can be paid by bank notes of 1, 2, 5, 10, and 20

Published on 25 Feb 2021 - 15:03

score 76 · Answer 2 · 2021-03-01 16:30:57

76

Views

How to obtain the equality between two integrals with different integrands?

Published on 01 Mar 2021 - 16:30

score 111 · Answer 3 · 2026-03-28 22:37:26

111

Views

Van der Waerden Theorem - Deducing Ackermann function Upper bound

Published on 28 Mar 2026 - 22:37

score 353 · Answer 4 · 2026-03-30 12:38:45

353

Views

Dimensions of Orthogonal Group Representations

Published on 30 Mar 2026 - 12:38

score 126 · Answer 5 · 2021-03-19 03:55:46

126

Views

Counting the number of partitions such that every part is divisible by $k$.

Published on 19 Mar 2021 - 3:55

score 693 · Answer 6 · 2021-03-25 21:22:09

693

Views

Partitions of $n$ into even number of parts versus into odd number of parts

Published on 25 Mar 2021 - 21:22

score 122 · Answer 7 · 2026-03-29 20:21:30

122

Views

Show that the Stirling numbers of the second kind satisfy the recurrence:

Published on 29 Mar 2026 - 20:21

score 53 · Answer 8 · 2021-03-31 10:22:18

53

Views

$k$ ordered sums of a natural number

Published on 31 Mar 2021 - 10:22

score 57 · Answer 9 · 2026-03-30 13:54:29

57

Views

The number of binary sequences generated by a parity map from all integer partitions of $n$ and their permutations

Published on 30 Mar 2026 - 13:54

score 52 · Answer 10 · 2021-04-07 03:25:30

52

Views

Convergent Infinite Product in Proof of Partitions Identity

Published on 07 Apr 2021 - 3:25

score 1k · Answer 11 · 2026-03-25 16:09:12

1k

Views

Proving that odd partitions and distinct partitions are equal

Published on 25 Mar 2026 - 16:09

score 82 · Answer 12 · 2026-03-25 23:08:06

82

Views

Partition of integer and its conjugate

Published on 25 Mar 2026 - 23:08

score 230 · Answer 13 · 2021-04-14 01:35:44

230

Views

Prove that $\prod_{i\geq 1}\frac{1}{1-xy^{2i-1}} = \sum_{n\geq 0} \frac{(xy)^{n}}{\prod_{i=1}^{n}\left( 1-y^{2i} \right)}.$

Published on 14 Apr 2021 - 1:35

score 84 · Answer 14 · 2021-04-19 05:56:27

84

Views

Given $n\in\mathbb{N}_{\geqslant 2}$, find the partition $(a_1,...,a_k)\in\mathbb{N}^k:\sum_{i=1}^k a_i=n$ of $n$ that maximizes $\prod_{i=1}^k a_i$

Published on 19 Apr 2021 - 5:56

score 53 · Answer 15 · 2021-04-23 06:58:55

53

Views

Partition of $2r$ in $k$ summands of given product

Published on 23 Apr 2021 - 6:58

List Question

Determine in how many ways the amount of 50 can be paid by bank notes of 1, 2, 5, 10, and 20

How to obtain the equality between two integrals with different integrands?

Van der Waerden Theorem - Deducing Ackermann function Upper bound

Dimensions of Orthogonal Group Representations

Counting the number of partitions such that every part is divisible by $k$.

Partitions of $n$ into even number of parts versus into odd number of parts

Show that the Stirling numbers of the second kind satisfy the recurrence:

$k$ ordered sums of a natural number

The number of binary sequences generated by a parity map from all integer partitions of $n$ and their permutations

Convergent Infinite Product in Proof of Partitions Identity

Proving that odd partitions and distinct partitions are equal

Partition of integer and its conjugate

Prove that $\prod_{i\geq 1}\frac{1}{1-xy^{2i-1}} = \sum_{n\geq 0} \frac{(xy)^{n}}{\prod_{i=1}^{n}\left( 1-y^{2i} \right)}.$

Given $n\in\mathbb{N}_{\geqslant 2}$, find the partition $(a_1,...,a_k)\in\mathbb{N}^k:\sum_{i=1}^k a_i=n$ of $n$ that maximizes $\prod_{i=1}^k a_i$

Partition of $2r$ in $k$ summands of given product

Trending Questions

Popular # Hahtags

Popular Questions