Mathematical theorems - Statistics

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  • This quiz has been taken 28 times
  • The average score is 4 of 15
Answer Stats
Hint Answer % Correct
Establishes a relationship between the sides of a right triangle. Pythagoras' Theorem
71%
Integration and differentiation are somewhat inverse processes. Fundamental Theorem of Calculus
62%
Every non-constant polynomial with complex coefficients has at least one complex root. Fundamental Theorem of Algebra
57%
Every integer greater than one has a unique factorization into prime numbers, up to order. Fundamental Theorem of Arithmetic
48%
More items than containers implies some container holds at least two items. Pigeonhole Principle
48%
he absolute value of an inner product is bounded by the product of the norms. Cauchy-Schwarz Inequality
33%
Generalizes the previous theorem to an arbitrary number of dimensions. Stokes' Theorem
33%
Relates a line integral around a simple curve to a double integral over the region it encloses. Green's Theorem
24%
Complete metric spaces cannot be countable unions of nowhere dense sets. Baire Category Theorem
14%
Every nonempty set of natural numbers has a least element. Well-Ordering Principle
14%
Every continuous map from a compact convex set to itself has a fixed point. Brouwer's Theorem
5%
Every simple closed curve in the plane divides the plane into exactly two regions. Jordan Curve Theorem
5%
Every proposition is either true or false in classical logic. Law of Excluded Middle
5%
Any sufficiently expressive formal system cannot be both complete and consistent. Gödel’s Incompleteness Theorems
0%
If a first-order theory has an infinite model, it has models of all infinite cardinalities. Löwenheim-Skolem Theorem
0%
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