#proof by induction

[noelements-setempty]

Eating one cookie is fine.

If you've already had n cookies, just one more won't hurt.

Therefore, by induction...

[sqrt-73]

Interesting math fact of the day #80:

The recursive function f(n) where

f(0) = 0 and f(n) = 2 * f(n - 1) + 1

can be expressed also by

f(n) = 2^n - 1

[greetings-inferiors]

Since true for n=1 & if true for n=k is also true for n=k+1, is true for all natural numbers n. Since true for n=1 & if true for n=k is also true for n=k+1, is true for all natural numbers n. Since true for n=1 & if true for n=k is also true for n=k+1, is true for all natural numbers n. Since true for n=1 & if true for n=k is also true for n=k+1, is true for all natural numbers n. Since true for n=1 & if true for n=k is also true for n=k+1, is true for all natural numbers n. Since true for n=1 & if true for n=k is also true for n=k+1, is true for all natural numbers n. Since true for n=1 & if true for n=k is also true for n=k+1, is true for all natural numbers n. Since true for n=1 & if true for n=k is also true for n=k+1, is true for all natural numbers n. Since true for n=1 & if true for n=k is also true for n=k+1, is true for all natural numbers n. Since true for n=1 & if true for n=k is also true for n=k+1, is true for all natural numbers n. Since true for n=1 & if true for n=k is also true for n=k+1, is true for all natural numbers n. Since true for n=1 & if true for n=k is also true for n=k+1, is true for all natural numbers n. Since true for n=1 & if true for n=k is also true for n=k+1, is true for all natural numbers n. Since true for n=1 & if true for n=k is also true for n=k+1, is true for all natural numbers n. Since true for n=1 & if true for n=k is also true for n=k+1, is true for all natural numbers n. Since true for n=1 & if true for n=k is also true for n=k+1, is true for all natural numbers n. Since true for n=1 & if true for n=k is also true for n=k+1, is true for all natural numbers n. Since true for n=1 & if true for n=k is also true for n=k+1, is true for all natural numbers n. Since true for n=1 & if true for n=k is also true for n=k+1, is true for all natural numbers n. Since true for n=1 & if true for n=k is also true for n=k+1, is true for all natural numbers n. Since true for n=1 & if true for n=k is also true for n=k+1, is true for all natural numbers n. Since true for n=1 & if true for n=k is also true for n=k+1, is true for all natural numbers n. Since true for n=1 & if true for n=k is also true for n=k+1, is true for all natural numbers n. Since true for n=1 & if true for n=k is also true for n=k+1, is true for all natural numbers n.

[kwaifu]

Feeling compelled to learn proof by induction.

[ireallyneedthatgifinmylife]

scifi recs related to this^^ article i just read/the general concept of “ai after death”

1) [novel] The Tiger Flu by Larissa Lai

2) [short story] Proof by Induction by José Pablo Iriarte

Proof by Induction - Uncanny Magazine

Paulie rushes out the elevator doors the moment they part, only to skid to a halt at the sight of his father’s wife. She shakes her head, bu

[gilmans-calculations]

Was told to do some mechanics practise questions, proved something by contradiction instead. 🤷‍♂️

[hitbrother-blog]

Proof by Induction - Mathematical Preliminaries Part 4

Proof by Induction – Mathematical Preliminaries Part 4

A proof by induction is the powerful and important technique for proving theorems, in which every step must be justified.

For each positive integer n, let P(n) be a mathematical statement that depends on n. Assume we wish to prove that P(n) is true for all positive integers n.A proof by induction of such a statement is carried out as follows:

Basis: Prove that P(1) is true.

Induction Step: Prove…

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[existxntixl]

I FUCKING LOVE

writing proofs by induction because I feel literally so good when I finally get them right