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We ought never to allow ourselves to be persuaded of the truth of anything unless on the evidence of our own reason
– René Descartes
Proof

A Rational Number With a Finite Number of Digits

Roth vs Traditional, which one is better?

Sample Standard Deviation In Terms of Sum and Square Sum of Samples

Proof: Uniqueness of multiplicative inverse

Proof: The sum of any three singledigit numbers is at most two digits long

Proof: a natural number n is a prime if b^(n−1) = 1 (mod n) for every integer b between 1 and n1

Euler's formula for Planar Graph

A number is divisible by 3 iff sum of its digits are divisible by 3

証明:文字列長が素数の文字列集は非正規言語

Proof: An Equivalence Relation Defines A Partition

Proof: The language consisting of strings whose lengths are prime is not regular

Algorithm to Count the Number of OnBits

Given a rational preference show that indifference relation is also transitive

Show that P(A) is a subset of P(B) if A is a subset of B

Prove that b  a iff every multiple of a is multiple of b

Proof: every consistent heuristic is also admissible

A totally ordered bijective mapping from string to integer

A word cannot be described within the same language

A complete bipartite graph is a tree only if the order of one of partite sets is 1

Prove or disprove if a+b=2 then b+z=3 for some z

The Second Proof of the Catalan Numbers

The Number of Rcombinations Repetition Allowed
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