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Mathematical theorems - Statistics
General Stats
- This quiz has been taken 33 times
- The average score is 5 of 15
Answer Stats
| Hint | Answer | % Correct |
|---|---|---|
| Establishes a relationship between the sides of a right triangle. | Pythagoras' Theorem | 77%
|
| Integration and differentiation are somewhat inverse processes. | Fundamental Theorem of Calculus | 65%
|
| Every non-constant polynomial with complex coefficients has at least one complex root. | Fundamental Theorem of Algebra | 58%
|
| More items than containers implies some container holds at least two items. | Pigeonhole Principle | 54%
|
| Every integer greater than one has a unique factorization into prime numbers, up to order. | Fundamental Theorem of Arithmetic | 50%
|
| he absolute value of an inner product is bounded by the product of the norms. | Cauchy-Schwarz Inequality | 42%
|
| Generalizes the previous theorem to an arbitrary number of dimensions. | Stokes' Theorem | 38%
|
| Relates a line integral around a simple curve to a double integral over the region it encloses. | Green's Theorem | 27%
|
| Every proposition is either true or false in classical logic. | Law of Excluded Middle | 19%
|
| Every nonempty set of natural numbers has a least element. | Well-Ordering Principle | 19%
|
| Complete metric spaces cannot be countable unions of nowhere dense sets. | Baire Category Theorem | 15%
|
| Every simple closed curve in the plane divides the plane into exactly two regions. | Jordan Curve Theorem | 12%
|
| Every continuous map from a compact convex set to itself has a fixed point. | Brouwer's Theorem | 4%
|
| If a first-order theory has an infinite model, it has models of all infinite cardinalities. | Löwenheim-Skolem Theorem | 4%
|
| Any sufficiently expressive formal system cannot be both complete and consistent. | Gödel’s Incompleteness Theorems | 0%
|
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