Lesson plan
Hypergeometric
Hypergeometric may refer to several distinct concepts within mathematics: * The hypergeometric function, a solution to the Gaussian hypergeometric differential equation, which provides a general solution to every second-order ordinary differential equation ** Generalized hypergeometric functions, which generalize the hypergeometric function to specific higher orders ** General hypergeometric functions, which provide general solution spaces for whole systems of classical hypergeometric functions * The hypergeometric distribution, a probability distribution which describes the probability of drawing a certain number of successes without replacement from a finite population * Higher-dimensional geometry, which generalizes three-dimensional geometry into an arbitrary number of dimensions; in this context, the prefix hyper- means "n-dimensional" * Hypergeometric motives, a form of motive in algebraic geometry
Article summary
Hypergeometric may refer to several distinct concepts within mathematics: * The hypergeometric function, a solution to the Gaussian hypergeometric differential equation, which provides a general solution to every second-order ordinary differential equation ** Generalized hypergeometric functions, which generalize the hypergeometric function to specific higher orders ** General hypergeometric functions, which provide general solution spaces for whole systems of classical hypergeometric functions * The hypergeometric distribution, a probability distribution which describes the probability of drawing a certain number of successes without replacement from a finite population * Higher-dimensional geometry, which generalizes three-dimensional geometry into an arbitrary number of dimensions; in this context, the prefix hyper- means "n-dimensional" * Hypergeometric motives, a form of motive in algebraic geometry
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Discussion questions
- Summarise the article in your own words. Which single claim would you verify first, and why?
- Which claim in this article is most likely to be revised as the sources update? How would you check its current status?
- If two sources disagreed about one of these facts, what would you need in order to trust one over the other?
Bibliography
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Key claims and bibliography are generated from the same tracked claims and sources as the article page.