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Combinations

n^nCr_r = C(nn,rr) = (nr)(^r_n) = n!(n−r)!r!\frac{n!}{(n-r)!r!}
Combinatorics

Addition

1 + 1 = 2
Arithmetic

Average

Average of [2, 3, 5, 6] = 4
ArithmeticList

Base conversion

1010102_2 = 4210_{10} = 2A16_{16}
Conversion

Distance between 2 points

| From (1,1) to (4,5) | = 5
2D Plane

Dot product

<1, 2> ⋅ <3, 4> = 11
Vectors

Factorial

5! = 5*4*3*2*1 = 120
Arithmetic

Median

Median of [2, 2, 3, 9] = 2.5
List

Multiplication

11 * 11 = 121
Arithmetic

Permutations

n^nPr_r = P(n,r)(n,r) = n!(n−r)!\frac{n!}{(n-r)!}
Combinatorics

Points to vector

From (1,1) to (7,4) = <6,3>
2D PlaneVectors

Power

23^3 = 8
Arithmetic

Substraction

100 - 1 = 99
Arithmetic

Vector Norm

| <3,4> | = 5
Vectors