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  2. Module (mathematics) - Wikipedia

    en.wikipedia.org/wiki/Module_(mathematics)

    In mathematics, a module is a generalization of the notion of vector space in which the field of scalars is replaced by a (not necessarily commutative) ring. The concept of a module also generalizes the notion of an abelian group , since the abelian groups are exactly the modules over the ring of integers .

  3. Mathematics education in the United States - Wikipedia

    en.wikipedia.org/wiki/Mathematics_education_in...

    Mathematics education in the United States varies considerably from one state to the next, and even within a single state. However, with the adoption of the Common Core Standards in most states and the District of Columbia beginning in 2010, mathematics content across the country has moved into closer agreement for each grade level.

  4. Glossary of module theory - Wikipedia

    en.wikipedia.org/wiki/Glossary_of_module_theory

    A module of finite length is a module that admits a (finite) composition series. finite presentation 1. A finite free presentation of a module M is an exact sequence where are finitely generated free modules. 2.

  5. Tenth grade - Wikipedia

    en.wikipedia.org/wiki/Tenth_grade

    Tenth grade (also 10th Grade or Grade 10) is the tenth year of formal or compulsory education. It is typically the second year of high school . In many parts of the world, students in tenth grade are usually 15 or 16 years of age.

  6. Absolute value - Wikipedia

    en.wikipedia.org/wiki/Absolute_value

    In 1806, Jean-Robert Argand introduced the term module, meaning unit of measure in French, specifically for the complex absolute value, [1] [2] and it was borrowed into English in 1866 as the Latin equivalent modulus. [1] The term absolute value has been used in this sense from at least 1806 in French [3] and 1857 in English. [4]

  7. Elementary mathematics - Wikipedia

    en.wikipedia.org/wiki/Elementary_mathematics

    Elementary mathematics, also known as primary or secondary school mathematics, is the study of mathematics topics that are commonly taught at the primary or secondary school levels around the world. It includes a wide range of mathematical concepts and skills, including number sense , algebra , geometry , measurement , and data analysis .

  8. List of theorems - Wikipedia

    en.wikipedia.org/wiki/List_of_theorems

    Swan's theorem (module theory) Sylow theorems (group theory) Sylvester's determinant theorem (determinants) Sylvester's theorem (number theory) Sylvester pentahedral theorem (invariant theory) Sylvester's law of inertia (quadratic forms) Sylvester–Gallai theorem (plane geometry) Symmetric hypergraph theorem (graph theory) Symphonic theorem ...

  9. Modular arithmetic - Wikipedia

    en.wikipedia.org/wiki/Modular_arithmetic

    Time-keeping on this clock uses arithmetic modulo 12. Adding 4 hours to 9 o'clock gives 1 o'clock, since 13 is congruent to 1 modulo 12. In mathematics, modular arithmetic is a system of arithmetic for integers, where numbers "wrap around" when reaching a certain value, called the modulus.