Question

Show there are $2^n$ forms a $n \times n$ matrix can take, preferably via Pascal's triangle

score 152 · Answer 1 · 2026-03-28 07:00:08

152

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Show there are $2^n$ forms a $n \times n$ matrix can take, preferably via Pascal's triangle

Published on 28 Mar 2026 - 7:00

score 41 · Answer 2 · 2018-11-29 03:35:06

41

Views

Prove if $s<x$ and $t<z$, then $st<xz$.

Published on 29 Nov 2018 - 3:35

score 101 · Answer 3 · 2026-03-26 09:51:27

101

Views

Explain this derivative identity: $ \frac{1}{2^n} \frac{d^n}{dy^n} \frac{(1+y)^{2n+3}(1-y)}{((1+y)^2 -2yx)^2} \bigg|_{y=0} = (n+1)! x^n $

Published on 26 Mar 2026 - 9:51

score 318 · Answer 4 · 2018-11-29 16:33:20

318

Views

Prove by induction $7^n$ is an odd number for every natural number n

Published on 29 Nov 2018 - 16:33

score 248 · Answer 5 · 2026-03-25 06:11:55

248

Views

Prove that Dyck language is subset of grammar

Published on 25 Mar 2026 - 6:11

score 269 · Answer 6 · 2018-11-30 21:10:49

269

Views

How to incorporate induction into the logic system?

Published on 30 Nov 2018 - 21:10

score 283 · Answer 7 · 2018-12-01 07:53:41

283

Views

Use complete induction to prove that $a_n < 2^n$ for every integer $n \geq 2$

Published on 01 Dec 2018 - 7:53

score 926 · Answer 8 · 2018-12-01 16:15:33

926

Views

How to normalize Dirichlet distribution?

Published on 01 Dec 2018 - 16:15

score 169 · Answer 9 · 2026-03-25 08:07:04

169

Views

Induction with two variables in PA

Published on 25 Mar 2026 - 8:07

score 46 · Answer 10 · 2018-12-03 08:34:34

46

Views

Prove $x \geq 2$ implies $x^{n} \geq 2^{n}$

Published on 03 Dec 2018 - 8:34

score 346 · Answer 11 · 2018-12-05 02:11:34

346

Views

Summation equivalence

Published on 05 Dec 2018 - 2:11

score 657 · Answer 12 · 2018-12-05 16:04:01

657

Views

Help with a proof by induction on polynomial roots

Published on 05 Dec 2018 - 16:04

score 133 · Answer 13 · 2026-03-26 06:25:31

133

Views

Proof Ideas - Strong Induction, Pascal's Triangle and Fibonacci Numbers

Published on 26 Mar 2026 - 6:25

score 82 · Answer 14 · 2018-12-07 01:11:00

82

Views

Algebraic proof that $\binom{n+k-1}{k} = \sum\limits_{i=0}^k \binom{(n-1)+(k-i)-1}{k-i}$

Published on 07 Dec 2018 - 1:11

score 157 · Answer 15 · 2026-03-25 18:45:09

157

Views

Recurrence proof by induction

Published on 25 Mar 2026 - 18:45

List Question

Show there are $2^n$ forms a $n \times n$ matrix can take, preferably via Pascal's triangle

Prove if $s<x$ and $t<z$, then $st<xz$.

Explain this derivative identity: $ \frac{1}{2^n} \frac{d^n}{dy^n} \frac{(1+y)^{2n+3}(1-y)}{((1+y)^2 -2yx)^2} \bigg|_{y=0} = (n+1)! x^n $

Prove by induction $7^n$ is an odd number for every natural number n

Prove that Dyck language is subset of grammar

How to incorporate induction into the logic system?

Use complete induction to prove that $a_n < 2^n$ for every integer $n \geq 2$

How to normalize Dirichlet distribution?

Induction with two variables in PA

Prove $x \geq 2$ implies $x^{n} \geq 2^{n}$

Summation equivalence

Help with a proof by induction on polynomial roots

Proof Ideas - Strong Induction, Pascal's Triangle and Fibonacci Numbers

Algebraic proof that $\binom{n+k-1}{k} = \sum\limits_{i=0}^k \binom{(n-1)+(k-i)-1}{k-i}$

Recurrence proof by induction

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