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Mathematics is a field of study that discovers and organizes methods, theories and theorems that are developed and proved for the needs of empirical sciences and mathematics itself. There are many areas of mathematics, which include number theory (the study of numbers), algebra (the study of formulas and related struct... | Wikipedia/math |
Algebra is a branch of mathematics that deals with abstract systems, known as algebraic structures, and the manipulation of expressions within those systems. It is a generalization of arithmetic that introduces variables and algebraic operations other than the standard arithmetic operations, such as addition and multip... | Wikipedia/algebra |
In mathematics, an algebraic expression is an expression built up from constants (usually, algebraic numbers), variables, and the basic algebraic operations:
addition (+), subtraction (-), multiplication (×), division (÷), whole number powers, and roots (fractional powers).. For example,
3
... | Wikipedia/Algebraic_expression |
A solution in radicals or algebraic solution is an expression of a solution of a polynomial equation that is algebraic, that is, relies only on addition, subtraction, multiplication, division, raising to integer powers, and extraction of nth roots (square roots, cube roots, etc.).
A well-known example is the quadratic ... | Wikipedia/Solution_in_radicals |
Multilinear algebra is the study of functions with multiple vector-valued arguments, with the functions being linear maps with respect to each argument. It involves concepts such as matrices, tensors, multivectors, systems of linear equations, higher-dimensional spaces, determinants, inner and outer products, and dual ... | Wikipedia/Multilinear_algebra |
"In mathematics and theoretical computer science, a type theory is the formal presentation of a spec(...TRUNCATED) | Wikipedia/Type_theory |
"In mathematics, a polynomial is a mathematical expression consisting of indeterminates (also called(...TRUNCATED) | Wikipedia/Polynomial_function |
"In mathematics, an algebra over a field (often simply called an algebra) is a vector space equipped(...TRUNCATED) | Wikipedia/Algebra_over_a_field |
"In mathematics, a quartic equation is one which can be expressed as a quartic function equaling zer(...TRUNCATED) | Wikipedia/Quartic_equation |
"Commutative algebra, first known as ideal theory, is the branch of algebra that studies commutative(...TRUNCATED) | Wikipedia/Commutative_algebra |
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