Question

Help with mathematical induction!

score 42 · Answer 1 · 2019-04-25 14:46:39

42

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Help with mathematical induction!

Published on 25 Apr 2019 - 14:46

score 1.8k · Answer 2 · 2026-03-26 17:53:54

1.8k

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Finding an equivalence classes for the relation $(x_1,y_1)\sim(x_2,y_2)\ \iff\ x_1^2+y_1^2=x_2^2+y_2^2$.

Published on 26 Mar 2026 - 17:53

score 1.5k · Answer 3 · 2019-04-29 22:49:19

1.5k

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Prove that for any integer $a$, $9\nmid(a^2-3)$.

Published on 29 Apr 2019 - 22:49

score 34 · Answer 4 · 2026-03-26 14:23:07

34

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Proof of $\sum_{i=0}^{N_s - 1} e^{-j2\pi n(k'-k)/N_s} = N_s\delta(k'-k)$

Published on 26 Mar 2026 - 14:23

score 58 · Answer 5 · 2019-04-30 07:29:28

58

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Power of $2$ that divides $\lceil(3+\sqrt5)^{2n}\rceil$

Published on 30 Apr 2019 - 7:29

score 85 · Answer 6 · 2019-05-01 15:32:54

85

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Is the following result true? Or Is there any known result about fractions like this?

Published on 01 May 2019 - 15:32

score 71 · Answer 7 · 2019-05-02 17:15:33

71

Views

$a^{m+n} = a^m*a^n$ where $m,n \in \mathbb{Z}$

Published on 02 May 2019 - 17:15

score 59 · Answer 8 · 2026-03-27 05:15:49

59

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Find the recursive definition for these two sets of numbers

Published on 27 Mar 2026 - 5:15

score 684 · Answer 9 · 2026-03-25 09:30:28

684

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Period of a particular Cycle for a Bessel Function

Published on 25 Mar 2026 - 9:30

score 70 · Answer 10 · 2026-03-26 12:58:26

70

Views

Can even/odd classes be applied in triples, quadruples, etc., and have any uses?

Published on 26 Mar 2026 - 12:58

score 131 · Answer 11 · 2019-05-08 09:10:26

131

Views

Show that $a^3 - b^3 = c! - 18$ does not have a solution

Published on 08 May 2019 - 9:10

score 191 · Answer 12 · 2019-05-10 19:12:39

191

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Non-collinear integral coordinates in a plane.

Published on 10 May 2019 - 19:12

score 124 · Answer 13 · 2019-05-11 07:51:16

124

Views

How many triangles are there with whole number side?

Published on 11 May 2019 - 7:51

score 129 · Answer 14 · 2019-05-12 18:12:23

129

Views

Find all positive integer numbers $a_1$ such that $a_n$ is a integer number for all $n \in \mathbb{Z^+}$

Published on 12 May 2019 - 18:12

score 244 · Answer 15 · 2019-05-12 22:24:44

244

Views

With this expression, which values of n gives integer results?

Published on 12 May 2019 - 22:24

List Question

Help with mathematical induction!

Finding an equivalence classes for the relation $(x_1,y_1)\sim(x_2,y_2)\ \iff\ x_1^2+y_1^2=x_2^2+y_2^2$.

Prove that for any integer $a$, $9\nmid(a^2-3)$.

Proof of $\sum_{i=0}^{N_s - 1} e^{-j2\pi n(k'-k)/N_s} = N_s\delta(k'-k)$

Power of $2$ that divides $\lceil(3+\sqrt5)^{2n}\rceil$

Is the following result true? Or Is there any known result about fractions like this?

$a^{m+n} = a^m*a^n$ where $m,n \in \mathbb{Z}$

Find the recursive definition for these two sets of numbers

Period of a particular Cycle for a Bessel Function

Can even/odd classes be applied in triples, quadruples, etc., and have any uses?

Show that $a^3 - b^3 = c! - 18$ does not have a solution

Non-collinear integral coordinates in a plane.

How many triangles are there with whole number side?

Find all positive integer numbers $a_1$ such that $a_n$ is a integer number for all $n \in \mathbb{Z^+}$

With this expression, which values of n gives integer results?

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