Question

Number Theory - Method of Proof explanation

score 42 · Answer 1 · 2016-09-20 17:25:25

42

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Number Theory - Method of Proof explanation

Published on 20 Sep 2016 - 17:25

score 83 · Answer 2 · 2016-09-29 04:47:57

83

Views

Sum of products simplification, boolean algebra

Published on 29 Sep 2016 - 4:47

score 415 · Answer 3 · 2016-10-09 12:22:48

415

Views

About the parity of the product $(a_1-1)(a_2-2)\cdots(a_n-n)$

Published on 09 Oct 2016 - 12:22

score 189 · Answer 4 · 2016-10-13 06:14:15

189

Views

Question about how they get forms in proof of "The square of any odd int has the form 8m+1 for some int m"

Published on 13 Oct 2016 - 6:14

score 216 · Answer 5 · 2016-10-21 16:15:14

Prove that the following statements are equivalent. $n^3$ is odd, $n^2$ is odd, $1-n$ is even, $n^2+1$ is even

score 125 · Answer 6 · 2016-10-22 14:09:35

125

Views

Prove that $f(x)=3\sin⁡(3\pi \ x/4)\ + \ 2 \cos(\pi \ x/3)$ is neither odd or even function

Published on 22 Oct 2016 - 14:09

score 29 · Answer 7 · 2016-11-10 07:40:01

29

Views

The edge parity of the 4n vertex subgraphs of a 4n+1 vertex graph

Published on 10 Nov 2016 - 7:40

score 1.3k · Answer 8 · 2016-11-19 17:42:05

1.3k

Views

Do more numbers from 1 to 10000 inclusive have an even or odd sum of their digits?

Published on 19 Nov 2016 - 17:42

score 140 · Answer 9 · 2026-03-23 07:08:10

140

Views

How can I check the parity of transcendental functions?

Published on 23 Mar 2026 - 7:08

score 1.3k · Answer 10 · 2016-12-09 00:28:12

1.3k

Views

Negation of a quantified statement about odd integers

Published on 09 Dec 2016 - 0:28

score 390 · Answer 11 · 2016-12-22 11:53:59

390

Views

Solutions of: $P(x)=\displaystyle x^{2016}+(2016!+1!) x^{2015}+(2015!+2!) x^{2014}+ \cdots + (1!+2016!)$

Published on 22 Dec 2016 - 11:53

score 645 · Answer 12 · 2017-01-10 03:07:20

645

Views

How do I check the parity of a function using Maple's symbolic math?

Published on 10 Jan 2017 - 3:07

score 2.2k · Answer 13 · 2017-01-18 14:02:50

2.2k

Views

Is it widely-known that "every odd number can be expressed as a sum of consecutive odd numbers except the odd primes"?

Published on 18 Jan 2017 - 14:02

score 2.1k · Answer 14 · 2017-01-24 04:28:23

2.1k

Views

Prove the following: If $m$ and $n$ are even integers, then so are $m+n$

Published on 24 Jan 2017 - 4:28

score 382 · Answer 15 · 2017-02-12 23:33:34

382

Views

Let $n$ be an integer. Prove that there exist $k, m$ integers such that $n=2^km$

Published on 12 Feb 2017 - 23:33

List Question

Number Theory - Method of Proof explanation

Sum of products simplification, boolean algebra

About the parity of the product $(a_1-1)(a_2-2)\cdots(a_n-n)$

Question about how they get forms in proof of "The square of any odd int has the form 8m+1 for some int m"

Prove that the following statements are equivalent. $n^3$ is odd, $n^2$ is odd, $1-n$ is even, $n^2+1$ is even

Prove that $f(x)=3\sin⁡(3\pi \ x/4)\ + \ 2 \cos(\pi \ x/3)$ is neither odd or even function

The edge parity of the 4n vertex subgraphs of a 4n+1 vertex graph

Do more numbers from 1 to 10000 inclusive have an even or odd sum of their digits?

How can I check the parity of transcendental functions?

Negation of a quantified statement about odd integers

Solutions of: $P(x)=\displaystyle x^{2016}+(2016!+1!) x^{2015}+(2015!+2!) x^{2014}+ \cdots + (1!+2016!)$

How do I check the parity of a function using Maple's symbolic math?

Is it widely-known that "every odd number can be expressed as a sum of consecutive odd numbers except the odd primes"?

Prove the following: If $m$ and $n$ are even integers, then so are $m+n$

Let $n$ be an integer. Prove that there exist $k, m$ integers such that $n=2^km$

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