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q-analog.

q-analogs

noun

plural of q-analog

There are many q-analogs in mathematics.

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q-analog

noun

(mathematics) A generalization of a theorem, identity or expression that involves a new parameter q that returns the original theorem, identity or expression in the limit as q → 1. They have applications in the study of fractals and the entropy of chaotic dynamical systems.

The q-analog of the Pythagorean theorem states that in a right triangle, the sum of the squares of the two shorter sides is equal to the square of the hypotenuse.

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