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Basis (linear algebra): In mathematics, a set B of elements in a vector space V is called a basis, if every element of V may be written in a unique way as a (finite) linear combination of elements of B. The coefficients of this linear combination are referred to as components or coordinates on B of the vector. The elements of a basis are called basis vectors.
Basis point: A basis point is (a difference of) one hundredth of a percent or equivalently one percent of one percent or one ten thousandth. A very rarely used term, permyriad, means parts per ten thousand, differing in meaning only in that basis points are normally used to express differences in parts per ten thousand.
Basis of accounting: A basis of accounting is the time various financial transactions are recorded. The cash basis and the accrual basis are the two primary methods of tracking income and expenses in accounting.
Basis set (chemistry): A basis set in theoretical and computational chemistry is a set of functions that is used to represent the electronic wave function in the Hartree–Fock method or density-functional theory in order to turn the partial differential equations of the model into algebraic equations suitable for efficient implementation on a computer. The use of basis sets is equivalent to the use of an approximate resolution of the identity.