Given an $n\times n$ sized grid of dots $\forall n>2$, find the minimal value of segments needed to draw through all points, not holding off the hand.

score 156 · Answer 7 · 2020-02-29 20:06:49

156

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Prove that the number of characters in a language is even, by structural induction

Published on 29 Feb 2020 - 20:06

score 277 · Answer 8 · 2026-03-30 01:46:36

277

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Recursively prove that two recursively defined sets are the same

Published on 30 Mar 2026 - 1:46

score 155 · Answer 9 · 2020-03-01 07:07:51

155

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Show that $\frac{1}{x_1^2}+\frac{1}{4\cdot x_2^2}+\ldots+\frac{1}{n^2\cdot x_n^2}\leq\frac{3n-2}{2n-1}$.

Published on 01 Mar 2020 - 7:07

score 180 · Answer 10 · 2026-04-05 19:14:12

180

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Ternary Strings Induction

Published on 05 Apr 2026 - 19:14

score 66 · Answer 11 · 2020-03-01 23:16:35

66

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How does one use induction to prove that $\displaystyle\sum\limits_{k=1}^{n}k2^{n-k+1} = 2^{n+2}-2(n+2)$

Published on 01 Mar 2020 - 23:16

score 50 · Answer 12 · 2020-03-02 06:10:14

50

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Inductive proof of inequality involving summation and nested exponents

Published on 02 Mar 2020 - 6:10

score 486 · Answer 13 · 2020-03-02 10:55:51

486

Views

Proof by induction: $P(n) \implies P(n+1)$ versus $P(n-1) \implies P(n)$

Published on 02 Mar 2020 - 10:55

score 2.8k · Answer 14 · 2026-04-08 17:49:35

2.8k

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Verification of induction proof for handshake lemma

Published on 08 Apr 2026 - 17:49

score 412 · Answer 15 · 2026-04-08 20:12:25

412

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Get the intuition behind proof by induction

Published on 08 Apr 2026 - 20:12

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Get the intuition behind proof by induction

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