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Famous Mathematician's Theorems Quiz Stats

Quiz Updated Nov 12, 2014

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Summary of Result Name % Correct
In a right angled triangle, the square of the hypotenuse, equals the sum of the squares of the two right angled edges of the triangle.Pythagorean Theorem
For n > 2, no three integers a, b, c satisfy: a^n + b^n = c^n.Fermat's Last Theorem
Any convex polyhedron with V vertices, F faces, and E edges is such that: V - E + F = 2.Euler's Formula
There are infinitely many prime numbers. If there were finitely many, then the number obtained from multiplying all the primes then adding 1, would be divisible by a new prime.Euclid's Proof of Infinitely Many Primes
A conjecture concerning the distribution of the zeros of the classical zeta function.Riemann Hypothesis
Used to prove that there are uncountably many irrational numbers.Cantor's Diagonalisation Argument
No consistent system of axioms whose theorems can be listed by an 'effective procedure' is capable of proving all facts about the natural numbers.Gödel's Incompleteness Theorem
Every even integer greater than 2 can be expressed as the sum of two primes.Goldbach's Conjecture
If two paths connect the same two points, and a function is holomorphic everywhere between them, then the two path integrals of the function are equal.Cauchy's Theorem
The number of elements in any subgroup of a finite group, divides the number of elements in the group.Lagrange's Theorem
Given events A and B, and a probability measure P, then: P(A | B) P(B) = P(B | A) P(A).Bayes' Theorem
Every simply connected closed 3-manifold is homeomorphic to the 3-sphere.Poincare Conjecture
There does not exist a set whose members are exactly those sets that are not members of themselvesRussell's Paradox
(cos(x) + i sin(x) )^n = cos(nx) + i sin(nx)De Moivre's Formula
The complement of the union of sets A and B, is the same as the intersection of the complements of A and B.De Morgan's Rule
Summary of Result Name % Correct
The sequence of prime numbers contains arithmetic progressions of arbitrary length.Green-Tao Theorem
Every non self intersecting loop in the plane divides the plane into an inside region and an outside region.Jordan Curve Theorem
Every partially ordered set in which every totally ordered subset has an upper bound, contains at least one maximal element.Zorn's Lemma
For sufficiently large n, then the number of distinct prime factors of n has the normal distribution with mean and variance log ( log (n) ).Erdős- Kac Theorem
A subset of euclidean n-space is compact if and only if it is closed and bounded.Heine Borel Theorem
Every continuous function from a closed ball in Euclidean space, into itself, has a fixed point.Brouwer Fixed Point Theorem
Given an integer n, if n is even divide it by 2. If it is odd, multiply by 3 and then add 1. Continuing in this way, you always eventually reach 1.Collatz Conjecture
If A and B are complete measure spaces, f an integrable function on A x B, then the integral of f with respect to the product measure, is the iterated integral of f on A, then B.Fubini's Theorem
Any coloring of a sufficiently large complete graph contains a monochromatic complete subgraph of a given size.Ramsey's Theorem
If parallel lines are drawn at a distance t apart, and a needle of length L < t is dropped, then with probability 2L /(pi)t, the needle will intersect a line.Buffon's Needle
There are exactly n^(n-2) distinct trees on a set of n labeled vertices.Cayley's Formula
Given a sequence of independent identically distributed random variables, then a tail event determined by this sequence either surely happens, or surely does not happen.Kolmogorov's Zero - One Law
Given sets A, B then if |A| ≤ |B|, and |B| ≤ |A|, then: |A| = |B|.Cantor Schroeder Bernstein Theorem
L^p is a complete normed vector space.Riesz Fischer Theorem
Given an ergodic dynamical system, then the space average equals the time average almost everywhere.Birkhoff's Ergodic Theorem

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