"PI"
a baked dish containing fruit, cream, custard, or meat and vegetables, typically having a base
pie
This constant is approximately 1.618
pythagorean theorem
Find the number of ways to choose a subset committee of 3 people from a group of 10.
C(10,3)=120
Two lines in R2 are perpendicular when the product of their slopes is this number
-1
covid-19
epidemic
This prestigious annual US high school math competition serves as the first qualifying round for the AIME.
AMC
In right triangles, the ratio of the lengths of the sides is constant for a given angle
Law of sines
Numbers of distinct ways to rearrage the letters in MATHEMATICS.
11!/2!2!2! (4989600)
what are the asymptotes for y=1/x
x=0 y=0
this principle states that if n+1 objects are placed into n boxes, at least one box contains 2 or more objects.
pigeonhole
This ancient Greek mathematician is famously known as the "father of geometry"
Euclid
In graph theory, this theorem says that every planar graph can be colored with at most four colors.
four color theorem
The probability that a 5-card poker hand contains all cards of the same suit
4 × C(13,5) / C(52,5) ≈ 0.00198
The perpendicular distance from the point (x',y') to the line ax+by+c=0equals this.
|ax'+by'+c|/sqrt(a^2+b^2)
Deeply Religious
Pious
This sequence of numbers, where each is the sum of the two preceding ones, is closely related to the golden ratio.
Fibonacci Sequence
In analysis, this theorem guarantees that a continuous function on [a, b] takes on every value between f(a) and f(b)
intermediate value theorem
The expected number of coin tosses until you see the pattern Head tails head appear
10
This geometric curve is defined as the locus of all points in a plane such that the sum of their distances from two fixed foci is constant.
An ellipse
A sudden, striking realization or insight
epiphany
the answer to the ultimate question of life, the universe, and everything
42
How many pieces do you have to cut a circle into in order to resemble them into a square using only translations (no rotations)
about 10^50 pieces
The number of ways to arrange 8 rooks on a chessboard so that none can attack another
8! (40320)
This type of curve, defined by control points and Bernstein polynomials, is widely used in computer graphics and font design because of its smoothness and ease of manipulation
Bezier curve