orthogonality

listen to the pronunciation of orthogonality
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الإنجليزية - الإنجليزية
Two vectors of the same length are orthogonal if the sum of the products of their corresponding elements is 0 Note: An experimental design is orthogonal if the effects of any factor balance out (sum to zero) across the effects of the other factors
In mathematics, a property synonymous with perpendicularity when applied to vectors but applicable more generally to functions. Two elements of an inner product space are orthogonal when their inner product for vectors, the dot product (see vector operations); for functions, the definite integral of their product is zero. A set of orthogonal vectors or functions can serve as the basis of an inner product space, meaning that any element of the space can be formed from a linear combination (see linear transformation) of the elements of such a set
the quality of lying or intersecting at right angles the relation of opposition between things at right angles
The property of a language that describes how well different concepts in the language interact with each other Orthogonality in a language helps to eliminate special-case scenarios, making the language easier to learn and use
{i} quality of having right angles, perpendicularity
the quality of lying or intersecting at right angles
A measure of squareness between axes Typically expressed as an error measured in arc-seconds An angular orthogonality of error of 1 arc-second results in a linear error of 5 millionths of an inch per inch of travel
Let V be an inner product space We define two vectors u and v in V to be orthogonal if u, v> = 0
the relation of opposition between things at right angles
orthogonality
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