Some articles on orthogonal:
Cubes - Orthogonal Projections
... The cube has four special orthogonal projections, centered, on a vertex, edges, face and normal to its vertex figure ... Orthogonal projections Centered by Face Vertex Coxeter planes B2 A2 Projective symmetry Tilted views ...
... The cube has four special orthogonal projections, centered, on a vertex, edges, face and normal to its vertex figure ... Orthogonal projections Centered by Face Vertex Coxeter planes B2 A2 Projective symmetry Tilted views ...
Stieltjes Transformation - Relationships To Orthogonal Polynomials
... If {Pn} is a sequence of orthogonal polynomials for this product, we can create the sequence of associated secondary polynomials by the formula It appears ... from the density ρ an effective measure for transforming the secondary polynomials into an orthogonal system ...
... If {Pn} is a sequence of orthogonal polynomials for this product, we can create the sequence of associated secondary polynomials by the formula It appears ... from the density ρ an effective measure for transforming the secondary polynomials into an orthogonal system ...
Classical Group - Relationship With Bilinear Forms
... Bn = SO(2n + 1), the special orthogonal group of orthogonal (2n + 1)-by-(2n + 1) real matrices with determinant 1 ... Dn = SO(2n), the special orthogonal group of orthogonal 2n-by-2n real matrices with determinant 1 ... that the determinant be 1 and consider unitary groups and (disconnected) orthogonal groups ...
... Bn = SO(2n + 1), the special orthogonal group of orthogonal (2n + 1)-by-(2n + 1) real matrices with determinant 1 ... Dn = SO(2n), the special orthogonal group of orthogonal 2n-by-2n real matrices with determinant 1 ... that the determinant be 1 and consider unitary groups and (disconnected) orthogonal groups ...
Matrix (mathematics) - Square Matrices - Main Types - Orthogonal Matrix
... An orthogonal matrix is a square matrix with real entries whose columns and rows are orthogonal unit vectors (i.e ... Equivalently, a matrix A is orthogonal if its transpose is equal to its inverse which entails where I is the identity matrix ... An orthogonal matrix A is necessarily invertible (with inverse A−1 = AT), unitary (A−1 = A*), and normal (A*A = AA*) ...
... An orthogonal matrix is a square matrix with real entries whose columns and rows are orthogonal unit vectors (i.e ... Equivalently, a matrix A is orthogonal if its transpose is equal to its inverse which entails where I is the identity matrix ... An orthogonal matrix A is necessarily invertible (with inverse A−1 = AT), unitary (A−1 = A*), and normal (A*A = AA*) ...
Lauricella's Theorem
... In the theory of orthogonal functions, Lauricella's theorem provides a condition for checking the closure of a set of orthogonal functions, namely Theorem ... A necessary and sufficient condition that a normal orthogonal set be closed is that the formal series for each function of a known closed normal orthogonal set in terms of converge in ...
... In the theory of orthogonal functions, Lauricella's theorem provides a condition for checking the closure of a set of orthogonal functions, namely Theorem ... A necessary and sufficient condition that a normal orthogonal set be closed is that the formal series for each function of a known closed normal orthogonal set in terms of converge in ...
More definitions of "orthogonal":
- (adj): Not pertinent to the matter under consideration.
Synonyms: extraneous, immaterial, impertinent
- (adj): Statistically unrelated.
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