orthogonal complement


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orthogonal complement

[ȯr′thäg·ən·əl ′käm·plə·mənt]
(mathematics)
In an inner product space, the orthogonal complement of a vectorvconsists of all vectors orthogonal tov; the orthogonal complement of a subset S consists of all vectors orthogonal to each vector in S.
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is an orthogonal complement of the component (25) to the full vector (and does not contain 0-component).
Since [MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII] converges to the orthogonal complement N of L in [T.
The common column space is the orthogonal complement of the column space of [U.
The center of the inversion hyperplane arrangement I (w) is the orthogonal complement of [V.
perpendicular to]], which represents the orthogonal complement of the tangent vector field of the curve.
Then h(X, Y) [member of] [GAMMA](D), [for all]X, Y [member of] [GAMMA](A) since V is the orthogonal complement of A.
The over-identifying restriction imposed by Lee [1995] is on the orthogonal complement to the error correction coefficients, which is equivalent to restricting the error correction coefficients themselves.
The adjustment speed toward the stationary component and, hence, its orthogonal complement, the common trend, is depicted by the [alpha] matrix reported in the upper half of Table 9.
At the unbalanced mode the unbalanced component of the 3-complex of current (unbalance current) is determined as an orthogonal complement to the balanced component (40)
Then the symplectic parallel transport along [gamma], defined by the horizontal distribution given as the orthogonal complement to the tangent space of the fiber of f with respect to the symplectic form (see e.

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