Diophantine geometry | Polynomials | Abelian varieties | Algebra | Elliptic curves | Algebraic number theory

Height function

A height function is a function that quantifies the complexity of mathematical objects. In Diophantine geometry, height functions quantify the size of solutions to Diophantine equations and are typically functions from a set of points on algebraic varieties (or a set of algebraic varieties) to the real numbers. For instance, the classical or naive height over the rational numbers is typically defined to be the maximum of the numerators and denominators of the coordinates (e.g. 7 for the coordinates (3/7, 1/2)), but in a logarithmic scale. (Wikipedia).

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From playlist Cool Science Tricks

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From playlist How to videos!

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From playlist Applications of Quadratic Equations

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From playlist Applications of Quadratic Equations

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From playlist Machine Learning

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From playlist Arithmetic dynamics

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From playlist MIT 18.085 Computational Science & Engineering I, Fall 2008

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