Question

Maximum standard deviation of $n$ positive integers with set mean

score 169 · Answer 1 · 2019-03-10 01:41:41

169

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Maximum standard deviation of $n$ positive integers with set mean

Published on 10 Mar 2019 - 1:41

score 288 · Answer 2 · 2019-03-10 17:09:01

288

Views

Prove that for every $n$, the binary representation of $n + 1$ contains exactly one bit that flips from $0$ to $1$

Published on 10 Mar 2019 - 17:09

score 40 · Answer 3 · 2019-03-11 06:12:43

40

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Proof that square of sum equal to sum of cubes of N.

Published on 11 Mar 2019 - 6:12

score 31 · Answer 4 · 2019-03-16 02:46:04

31

Views

$3n = 8x+4$ control flag inside of a function

Published on 16 Mar 2019 - 2:46

score 67 · Answer 5 · 2019-03-17 08:35:53

67

Views

Q: Prove that for any natural number, there exists a multiple that (in decimal form) only uses digits 0 and 1

Published on 17 Mar 2019 - 8:35

score 51 · Answer 6 · 2019-03-17 17:13:05

51

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$f,g: \mathbb{N} \rightarrow \mathbb{N} $, where $f(n)=g(2n)$. Prove that if $f$ is surjective, $g$ is not injective.

Published on 17 Mar 2019 - 17:13

score 146 · Answer 7 · 2019-03-17 18:45:55

146

Views

For any natural $m \neq n$ show that $|\sqrt[n]{m} - \sqrt[m]{n}| > \frac{1}{mn}$.

Published on 17 Mar 2019 - 18:45

score 45 · Answer 8 · 2019-03-18 03:19:53

45

Views

Prove that $p:\omega \times \omega \to \omega$ defined by $p(i,j)=2^i(2j+1)-1$ is one-to-one and onto.

Published on 18 Mar 2019 - 3:19

score 248 · Answer 9 · 2026-03-26 04:36:36

248

Views

Does the Axiom schema of Replacement imply the Axiom of Infinity?

Published on 26 Mar 2026 - 4:36

score 85 · Answer 10 · 2019-03-18 21:32:10

85

Views

Let $n \in \omega$. Suppose $f:n \to A$ is onto $A$. Prove that $A$ is finite.

Published on 18 Mar 2019 - 21:32

score 34 · Answer 11 · 2019-03-20 13:35:49

34

Views

formal definition of operations in the ring of integers $\mathbb{Z}$

Published on 20 Mar 2019 - 13:35

score 67 · Answer 12 · 2019-03-24 12:46:11

67

Views

Existence of 3 natural numbers that divide each other when squared and have 1 taken away from them

Published on 24 Mar 2019 - 12:46

score 448 · Answer 13 · 2019-03-25 20:08:28

448

Views

Proving that addition in $\mathbb{N}$ is associative and commutative

Published on 25 Mar 2019 - 20:08

score 85 · Answer 14 · 2019-03-29 08:01:02

85

Views

Is this problem solvable with positive integer linear programming?

Published on 29 Mar 2019 - 8:01

score 177 · Answer 15 · 2019-03-29 17:23:52

177

Views

How to determine the smallest value of $N=n^4+6n^3+11n^2+6n$ if 13 and 19 both divide N?

Published on 29 Mar 2019 - 17:23

List Question

Maximum standard deviation of $n$ positive integers with set mean

Prove that for every $n$, the binary representation of $n + 1$ contains exactly one bit that flips from $0$ to $1$

Proof that square of sum equal to sum of cubes of N.

$3n = 8x+4$ control flag inside of a function

Q: Prove that for any natural number, there exists a multiple that (in decimal form) only uses digits 0 and 1

$f,g: \mathbb{N} \rightarrow \mathbb{N} $, where $f(n)=g(2n)$. Prove that if $f$ is surjective, $g$ is not injective.

For any natural $m \neq n$ show that $|\sqrt[n]{m} - \sqrt[m]{n}| > \frac{1}{mn}$.

Prove that $p:\omega \times \omega \to \omega$ defined by $p(i,j)=2^i(2j+1)-1$ is one-to-one and onto.

Does the Axiom schema of Replacement imply the Axiom of Infinity?

Let $n \in \omega$. Suppose $f:n \to A$ is onto $A$. Prove that $A$ is finite.

formal definition of operations in the ring of integers $\mathbb{Z}$

Existence of 3 natural numbers that divide each other when squared and have 1 taken away from them

Proving that addition in $\mathbb{N}$ is associative and commutative

Is this problem solvable with positive integer linear programming?

How to determine the smallest value of $N=n^4+6n^3+11n^2+6n$ if 13 and 19 both divide N?

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