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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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更新时间:2024/12/23 14:39:07