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As this example shows, when like terms exist in an expression, they may be combined by adding or subtracting (whatever the expression indicates) the coefficients, and maintaining the common factor of both terms. Such combination is called combining like terms or collecting like terms, and it is an important tool used for solving equations.
Let V be a finite-dimensional vector space over k....Let (e i) 1≤ i ≤ n be a basis for V....There is an isomorphism of the polynomial algebra k[T ij] 1≤ i, j ≤ n onto the algebra Sym k (V ⊗ V *)....It extends to an isomorphism of k[GL n] to the localized algebra Sym k (V ⊗ V *) D, where D = det(e i ⊗ e j *)....We write k[GL(V ...
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Domain-specific terms must be recategorized into the corresponding mathematical domain. If the domain is unclear, but reasonably believed to exist, it is better to put the page into the root category:mathematics, where it will have a better chance of spotting and classification. See also: Glossary of mathematics
def – define or definition. deg – degree of a polynomial, or other recursively-defined objects such as well-formed formulas. (Also written as ∂.) del – del, a differential operator. (Also written as.) det – determinant of a matrix or linear transformation. DFT – discrete Fourier transform.
Colleges review a student's score by subject – math, English, science, etc. – and compare that score to the school's cutoff. [27] For example, a college might use a score of 19 on the ACT math section as the threshold for determining whether a student must enroll in a remedial math course or college-level math course.
Also called infinitesimal calculus A foundation of calculus, first developed in the 17th century, that makes use of infinitesimal numbers. Calculus of moving surfaces an extension of the theory of tensor calculus to include deforming manifolds. Calculus of variations the field dedicated to maximizing or minimizing functionals. It used to be called functional calculus. Catastrophe theory a ...
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.