orthogonal vectors


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Related to orthogonal vectors: Orthonormal vectors, parallel vectors

orthogonal vectors

[ȯr′thäg·ən·əl ′vek·tərz]
(mathematics)
In an inner product space, two vectors are orthogonal if their inner product vanishes.
References in periodicals archive ?
The results of normalized orthogonal vectors construction can be seen in Fig.
The index construction process includes orthogonal vectors building and secure index constructing, and the orthogonal vectors building is related to the number of vertices.
After the Gram-Schmidt process, we have one normalized orthogonal vector y transforming from [lambda].
A general pattern of coding that can be used routinely to obtain orthogonal vectors for balanced experiments (i.
where the t's are individual regression coefficients corresponding to particular orthogonal vectors (X's), as shown in the one-way example above.
A2], are orthogonal vectors that code for factor A (three levels) and the third column, [X.
Before combining them into interaction dummy variables, it is essential that the variables used for any single main effect be linearly independent orthogonal vectors (Draper and Smith 1981).
In addition, by this method the number of orthogonal vectors required to code for the dummy variables corresponding to the interaction term is clearly equal to the number of degrees of freedom for that term in the model.
Hence, relaxing the assumption that mutually exclusive states of affairs must be represented by orthogonal vectors entails that there are states which we cannot interpret.
The relaxation of the quantum mechanical dogma that mutually exclusive states of affairs must be represented by orthogonal vectors seems at first glance to be merely inelegant.
The ENOR algorithm produces a set of orthogonal vectors spanning the subspace with a reduced number of state variables.
Specifically, from the relationship of the orthogonal vectors [[?

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