In mathematics, orthogonality is the generalization of the geometric notion of perpendicularity. Orthogonality is also used with various meanings that...

not true; having a determinant of ±1 is no guarantee of orthogonality, even with orthogonal columns, as shown by the following counterexample. [ 2 0...

orthogonality in the usual way, namely that two polynomials are orthogonal if their inner product is zero. Then the sequence (Pn)∞ n=0 of orthogonal polynomials...

the orthogonality principle is a necessary and sufficient condition for the optimality of a Bayesian estimator. Loosely stated, the orthogonality principle...

number λn. The interval of orthogonality is bounded by whatever roots Q has. The root of L is inside the interval of orthogonality. Letting R ( x ) = e ∫...

most-frequently used regarding assembly instruction sets, as orthogonal instruction set. Orthogonality in a programming language means that a relatively small...

1/m and the slopes of hyperbolic orthogonal lines are reciprocals of each other. The relation of hyperbolic orthogonality actually applies to classes of...

In mathematics, the orthogonal group in dimension n, denoted O(n), is the group of distance-preserving transformations of a Euclidean space of dimension...

form ⟨ ⋅ , ⋅ ⟩ {\displaystyle \langle \cdot ,\cdot \rangle } , where orthogonality of two vectors v {\displaystyle v} and w {\displaystyle w} means ⟨ v...

the unit disk and have orthogonality of both radial and angular parts. Walsh functions and Haar wavelets are examples of orthogonal functions with discrete...

\langle f,g\rangle _{w}=0.} Orthogonality of two functions with respect to one inner product does not imply orthogonality with respect to another inner...

In mathematics, an orthogonal array (more specifically, a fixed-level orthogonal array) is a "table" (array) whose entries come from a fixed finite set...

wavelet mask. A necessary condition for the orthogonality of the wavelets is that the scaling sequence is orthogonal to any shifts of it by an even number of...

circle orthogonal to the circle of ideal points bounding the disk. Orthogonality Radical axis Power center (geometry) Apollonian circles Bipolar coordinates...

In mathematics, the Schur orthogonality relations, which were proven by Issai Schur through Schur's lemma, express a central fact about representations...

Orthogonal is a science fiction trilogy by Australian author Greg Egan taking place in a universe where, rather than three dimensions of space and one...

the concept of orthogonality can be used. A projection P {\displaystyle P} on a Hilbert space V {\displaystyle V} is called an orthogonal projection if...

In mathematics, orthogonal coordinates are defined as a set of d coordinates q = ( q 1 , q 2 , … , q d ) {\displaystyle \mathbf {q} =(q^{1},q^{2},\dots...

significantly reversed the trend against more orthogonality. Modern CPUs often simulate orthogonality in a preprocessing step before performing the actual...

in 1971 with the introduction of a guard interval, providing better orthogonality in transmission channels affected by multipath propagation. Each subcarrier...

definitions of intuitive geometric notions, such as lengths, angles, and orthogonality (zero inner product) of vectors. Inner product spaces generalize Euclidean...

Orthogonal array testing is a systematic and statistically-driven black-box testing technique employed in the field of software testing. This method is...

In linear algebra, an orthogonal transformation is a linear transformation T : V → V on a real inner product space V, that preserves the inner product...

mathematics, an orthogonal trajectory is a curve which intersects any curve of a given pencil of (planar) curves orthogonally. For example, the orthogonal trajectories...

the mathematical fields of linear algebra and functional analysis, the orthogonal complement of a subspace W {\displaystyle W} of a vector space V {\displaystyle...

The proper orthogonal decomposition is a numerical method that enables a reduction in the complexity of computer intensive simulations such as computational...

mathematics, a sequence of discrete orthogonal polynomials is a sequence of polynomials that are pairwise orthogonal with respect to a discrete measure...

the method of empirical orthogonal function (EOF) analysis is a decomposition of a signal or data set in terms of orthogonal basis functions which are...

order, all pairs of which are orthogonal is called a set of mutually orthogonal Latin squares. This concept of orthogonality in combinatorics is strongly...

orthogonality to P 0 {\displaystyle P_{0}} and P 1 {\displaystyle P_{1}} , and so on. P n {\displaystyle P_{n}} is fixed by demanding orthogonality to...