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orthogonal
(redirected from orthogonally)

   Also found in: Dictionary/thesaurus 0.12 sec.

At right angles. The term is used to describe electronic signals that appear at 90 degree angles to each other. It is also widely used to describe conditions that are contradictory, or opposite, rather than in parallel or in sync with each other.


(geometry)orthogonal - At 90 degrees (right angles).

N mutually orthogonal vectors span an N-dimensional vector space, meaning that, any vector in the space can be expressed as a linear combination of the vectors. This is true of any set of N linearly independent vectors.

The term is used loosely to mean mutually independent or well separated. It is used to describe sets of primitives or capabilities that, like linearly independent vectors in geometry, span the entire "capability space" and are in some sense non-overlapping or mutually independent. For example, in logic, the set of operators "not" and "or" is described as orthogonal, but the set "nand", "or", and "not" is not (because any one of these can be expressed in terms of the others).

Also used loosely to mean "irrelevant to", e.g. "This may be orthogonal to the discussion, but ...", similar to "going off at a tangent".

See also orthogonal instruction set.


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Researchers have suggested that risk and protective factors must be treated orthogonally and not inversely (Figure 1).
We extracted factors with eigenvalues greater than one and orthogonally rotated the factor solution using a varimax procedure.
Like other recent buildings on the site, the new office is aligned orthogonally with it (in this case to the north), and the height of the new tower corresponds to that of the top of the old building uphill from it.
 
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