using as a basis

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• Basis set (chemistry) — A basis set in chemistry is a set of functions used to create the molecular orbitals, which are expanded as a linear combination of such functions with the weights or coefficients to be determined. Usually these functions are atomic orbitals, in… …   Wikipedia

• Basis set superposition error — In quantum chemistry, calculations of interaction energies are susceptible to basis set superposition error (BSSE) if they use finite basis sets. As the atoms of interacting molecules (or of different parts of the same molecule) or two molecules… …   Wikipedia

• Basis (linear algebra) — Basis vector redirects here. For basis vector in the context of crystals, see crystal structure. For a more general concept in physics, see frame of reference. In linear algebra, a basis is a set of linearly independent vectors that, in a linear… …   Wikipedia

• Basis risk — in finance is the risk associated with imperfect hedging using futures. It could arise because of the difference between the asset whose price is to be hedged and the asset underlying the derivative, or because of a mismatch between the… …   Wikipedia

• Basis swap — A basis swap is an interest rate swap which involves the exchange of two floating rate financial instruments. A floating floating interest rate swap under which the floating rate payments is referenced to different bases. Usage of basis swaps for …   Wikipedia

• basis risk — The risk to a holder of financial instruments that a change in prevailing interest rates will not affect the prices of or yields on similar instruments in exactly equal amounts. For example, an increase in prevailing interest rates might raise 3… …   Financial and business terms

• Polynomial basis — In mathematics, the polynomial basis is a basis for finite extensions of finite fields.Let α ∈ GF( p m ) be the root of a primitive polynomial of degree m over GF( p ). The polynomial basis of GF( p m ) is then:{ 0, 1, alpha, ldots, alpha^{m… …   Wikipedia

• Dual basis in a field extension — In mathematics, the linear algebra concept of dual basis can be applied in the context of a finite extension L/K, by using the field trace. This requires the property that the field trace TrL/K provides a non degenerate quadratic form over K.… …   Wikipedia

• STO-nG basis sets — STO nG basis sets are the minimal basis sets, where n represents the number of primitive Gaussian functions comprising a single basis set. For minimal basis sets, the core and valence orbitals are represented by same number primitive Gaussian fu …   Wikipedia

• Gröbner basis — In computer algebra, computational algebraic geometry, and computational commutative algebra, a Gröbner basis is a particular kind of generating subset of an ideal I in a polynomial ring R. One can view it as a multivariate, non linear… …   Wikipedia

• on an accruals basis — ► using the accruals basis of accounting: »The costs are charged on an accruals basis. Main Entry: ↑accruals basis …   Financial and business terms