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Algebra is the branch of mathematics that studies certain 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 multiplication.
[1] Elementary algebra, also known as high school algebra or college algebra, [2] encompasses the basic concepts of algebra. It is often contrasted with arithmetic : arithmetic deals with specified numbers , [ 3 ] whilst algebra introduces variables (quantities without fixed values).
In mathematics, a basic algebraic operation is any one of the common operations of elementary algebra, which include addition, subtraction, multiplication, division, raising to a whole number power, and taking roots (fractional power). [1] These operations may be performed on numbers, in which case they are often called arithmetic operations.
2.1 Mathematics. 2.2 Physics. ... This is a list of equations, ... Dirac equation in the algebra of physical space; Dirac–Kähler equation;
Systems of equations – finite set of equations; Vectors – element of a vector space; Matrix – two dimensional array of numbers; Vector space – basic algebraic structure of linear algebra; Field – algebraic structure with addition, multiplication and division; Groups – algebraic structure with a single binary operation
Goldbach’s Conjecture. One of the greatest unsolved mysteries in math is also very easy to write. Goldbach’s Conjecture is, “Every even number (greater than two) is the sum of two primes ...