The modularity theorem (formerly called the Taniyama–Shimura conjecture, Taniyama–Shimura–Weil conjecture or modularity conjecture for elliptic curves) states that elliptic curves over the field of rational numbers are related to modular forms in a particular way.
This essay argues that mathematical knowl- edge can fruitfully be understood as having a modular structure, and explores the ways in which modularity in ...
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The concept of modularity spans an important set of principles in design theory: design rules, independent task blocks, clean interfaces, nested hierarchies ...
In mathematics, modular arithmetic is a system of arithmetic for integers, where numbers "wrap around" when reaching a certain value, called the modulus.
Sep 25, 2017 · This essay argues that mathematical knowledge can fruitfully be understood as having a modular structure, and explores the ways in which ...
Nov 30, 2022 · More generally, the term “modularity” is often applied to mean the question of whether a Galois representation comes from a modular form or one ...
Mar 9, 2023 · A modular form takes as its input complex numbers whose imaginary part is positive, corresponding to the upper half of the plane. (The upper ...
We are only interested in what the remainder is when we divide A by B. For these cases there is an operator called the modulo operator (abbreviated as mod).
Nov 29, 2021 · If you do modular arithmetic on a given modulus, say n, then you are dividing the set of integers into n discrete chunks, reminiscent of how a ...
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Aug 16, 2024 · Modular arithmetic, in its most elementary form, arithmetic done with a count that resets itself to zero every time a certain whole number N ...