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More accurately, the general orthogonality principle states the following: Given a closed subspace of estimators within a Hilbert space and an element in , an element ^ achieves minimum MSE among all elements in if and only if {(^)} = for all .
The orthogonality principle: When is a scalar, an estimator constrained to be of certain form ^ = is an optimal ...
The line segments AB and CD are orthogonal to each other. In mathematics, orthogonality is the generalization of the geometric notion of perpendicularity.Whereas perpendicular is typically followed by to when relating two lines to one another (e.g., "line A is perpendicular to line B"), [1] orthogonal is commonly used without to (e.g., "orthogonal lines A and B").
Orthogonality in a programming language means that a relatively small set of primitive constructs can be combined in a relatively small number of ways to build the control and data structures of the language. [2] It is associated with simplicity; the more orthogonal the design, the fewer exceptions.
In mathematics, orthogonality is the generalization of the geometric notion of perpendicularity to the linear algebra of bilinear forms. Two elements u and v of a vector space with bilinear form B {\displaystyle B} are orthogonal when B ( u , v ) = 0 {\displaystyle B(\mathbf {u} ,\mathbf {v} )=0} .
The simplest possible character, called the principal character, usually denoted ... The two orthogonality relations are ...
Orthogonality Example of orthogonal factorial design Orthogonality concerns the forms of comparison (contrasts) that can be legitimately and efficiently carried out. Contrasts can be represented by vectors and sets of orthogonal contrasts are uncorrelated and independently distributed if the data are normal.
Orthogonality is the principle that every instruction should be able to use any supported addressing mode. In this example, if the direct addressing version of ADD is available, all the others should be as well. The reason for this design is not aesthetic, the goal is to reduce the total size of a program's object code. By providing a variety ...