List questions from parity

Published on 06 Sep 2015 - 8:40

2.2k

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Prove that it is not possible to completely cover a 6 × 6 chessboard by tiles which have dimensions 1 × 4.

Published on 07 Sep 2015 - 12:27

240

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$n^2 + 7n + 1$ is odd

Published on 24 Mar 2026 - 18:43

1.5k

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How to prove $\frac xy + \frac yx \ge 2$

Published on 24 Oct 2015 - 5:15

722

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Prove that sum $(\sqrt2+1)^n+(\sqrt2-1)^n$ is rational for even numbers

Published on 24 Oct 2015 - 12:38

1k

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Induction to prove parity

Published on 24 Mar 2026 - 22:02

314

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8-puzzle which has the numbers in order but has gap in between

Published on 15 Dec 2015 - 4:01

283

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decoding a block code in non systematic form

Published on 21 Mar 2026 - 4:00

470

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Find all permutations such that $\sigma=a\tau a^{-1}$

Published on 24 Mar 2026 - 15:27

184

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Determine the parity and the inverse for each of the following permutation of {1, 2, . . . , 9}:

Published on 25 Mar 2026 - 16:35

110

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Even-odd multiplicative algebraic structure with idempotency?

Published on 13 Feb 2016 - 16:27

2.2k

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Prove that an odd integer is always of the form $2m+1$

Published on 23 Mar 2026 - 23:32

397

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Regular grammar with parity

Published on 03 Mar 2016 - 2:19

51

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Why is $\int_{-∞}^∞ x^k*e^x/(e^x +1)^2 dx = 0$ for odd k?

Published on 06 Mar 2016 - 21:50

96

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is A an even number?

Published on 25 Mar 2026 - 22:36

List Question

Maximal $k$ such that ${{n+k+1}\choose{n+1}}$ is odd

Prove that it is not possible to completely cover a 6 × 6 chessboard by tiles which have dimensions 1 × 4.

$n^2 + 7n + 1$ is odd

How to prove $\frac xy + \frac yx \ge 2$

Prove that sum $(\sqrt2+1)^n+(\sqrt2-1)^n$ is rational for even numbers

Induction to prove parity

8-puzzle which has the numbers in order but has gap in between

decoding a block code in non systematic form

Find all permutations such that $\sigma=a\tau a^{-1}$

Determine the parity and the inverse for each of the following permutation of {1, 2, . . . , 9}:

Even-odd multiplicative algebraic structure with idempotency?

Prove that an odd integer is always of the form $2m+1$

Regular grammar with parity

Why is $\int_{-∞}^∞ x^k*e^x/(e^x +1)^2 dx = 0$ for odd k?

is A an even number?

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