"PI"
a baked dish containing fruit, cream, custard, or meat and vegetables, typically having a base
pie
This constant is approximately 2.718
e
pythagorean theorem
Two lines in R2 are perpendicular when the product of their slopes is this number
-1
covid-19
epidemic
The name of the world’s largest mathematics competition, with over 6 million annual participants
hint: the object is in the classroom
Kangaroo
In right triangles, the ratio of the lengths of the sides is constant for a given angle
Law of sines
The probability that a 5-card poker hand contains all cards of the same suit
4 × C(13,5) / C(52,5) ≈ 0.00198
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.
capital
This 18th-century Swiss mathematician developed graph theory while solving the Königsberg bridges problem
Leonhard Euler
In graph theory, this theorem says that every planar graph can be colored with at most four colors.
four color theorem
this principle states that if n+1 objects are placed into n boxes, at least one box contains 2 or more objects.
pigeonhole principle
The perpendicular distance from the point (x',y') to the line ax+by+c=0ax+by+c=0ax+by+c=0 equals this.
|ax'+by'+c|/sqrt(a^2+b^2)
Deeply Religious
Pious
This constant, approximately 0.5772, is the Euler–Mascheroni constant
gamma
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
x=+-1, y=1
A sudden, striking realization or insight
epiphany
the answer to the ultimate question of life, the universe, and everything
42
This paradoxical theorem says you can cut up a solid ball into finitely many pieces and reassemble them into two balls of the same size
Banach–Tarski paradox
The number of ways to arrange 8 rooks on a chessboard so that none can attack another
8! (40,320)
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