Search results
Results from the WOW.Com Content Network
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).
A basis (or reference frame) of a (universal) algebra is a function that takes some algebra elements as values () and satisfies either one of the following two equivalent conditions. Here, the set of all b ( i ) {\displaystyle b(i)} is called the basis set , whereas several authors call it the "basis".
In mathematics, a canonical basis is a basis of an algebraic structure that is canonical in a sense that depends on the precise context: In a coordinate space , and more generally in a free module , it refers to the standard basis defined by the Kronecker delta .
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.
Elementary mathematics, also known as primary or secondary school mathematics, is the study of mathematics topics that are commonly taught at the primary or secondary school levels around the world. It includes a wide range of mathematical concepts and skills, including number sense , algebra , geometry , measurement , and data analysis .
In mathematics, a basis function is an element of a particular basis for a function space. Every function in the function space can be represented as a linear combination of basis functions, just as every vector in a vector space can be represented as a linear combination of basis vectors .
is the change-of-basis matrix (also called transition matrix), which is the matrix whose columns are the coordinates of the new basis vectors on the old basis. A change of basis is sometimes called a change of coordinates, although it excludes many coordinate transformations.
In mathematics, particularly linear algebra, an orthogonal basis for an inner product space is a basis for whose vectors are mutually orthogonal. If the vectors of an orthogonal basis are normalized , the resulting basis is an orthonormal basis .