单词 | orthogonal |
释义 | orthogonal —orthogonality, n. —orthogonally, adv. /awr thog"euh nl/, adj. 1. Math. a. Also, orthographic. pertaining to or involving right angles or perpendiculars: an orthogonal projection. b. (of a system of real functions) defined so that the integral of the product of any two different functions is zero. c. (of a system of complex functions) defined so that the integral of the product of a function times the complex conjugate of any other function equals zero. d. (of two vectors) having an inner product equal to zero. e. (of a linear transformation) defined so that the length of a vector under the transformation equals the length of the original vector. f. (of a square matrix) defined so that its product with its transpose results in the identity matrix. 2. Crystall. referable to a rectangular set of axes. [1565-75; obs. orthogon(ium) right triangle ( < LL orthogonium < Gk orthogónion (neut.) right-angled, equiv. to ortho- ORTHO- + -gonion -GON) + -AL1] |
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