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A projective basis is + points in general position, in a projective space of dimension n. A convex basis of a polytope is the set of the vertices of its convex hull. A cone basis [5] consists of one point by edge of a polygonal cone. See also a Hilbert basis (linear programming).
Basis (or cost basis), as used in United States tax law, is the original cost of property, adjusted for factors such as depreciation. When a property is sold, the taxpayer pays/(saves) taxes on a capital gain /(loss) that equals the amount realized on the sale minus the sold property's basis.
The need for day count conventions is a direct consequence of interest-earning investments. Different conventions were developed to address often conflicting requirements, including ease of calculation, constancy of time period (day, month, or year) and the needs of the accounting department.
Methods to calculate cost basis. The cost basis for stocks and mutual funds is generally the price you paid when you purchased the asset, plus any other trading costs. However, there are several ...
A change of basis consists of converting every assertion expressed in terms of coordinates relative to one basis into an assertion expressed in terms of coordinates relative to the other basis. [ 1 ] [ 2 ] [ 3 ]
The association of a dual basis with a basis gives a map from the space of bases of V to the space of bases of V ∗, and this is also an isomorphism. For topological fields such as the real numbers, the space of duals is a topological space , and this gives a homeomorphism between the Stiefel manifolds of bases of these spaces.
Gröbner basis theory was initially introduced for the lexicographical ordering. It was soon realised that the Gröbner basis for degrevlex is almost always much easier to compute, and that it is almost always easier to compute a lex Gröbner basis by first computing the degrevlex basis and then using a "change of ordering algorithm".
Then a basis with respect to which the matrix has the required form exists if and only if all eigenvalues of the matrix lie in K, or equivalently if the characteristic polynomial of the operator splits into linear factors over K. This condition is always satisfied if K is algebraically closed (for instance, if it is the field of complex numbers).