| 单词 | polar vector |
| 释义 | > as lemmaspolar vector polar vector n. Mathematics a vector which changes sign when the signs of all its components are changed; cf. axial vector at vector n. 2a. ΚΠ 1903 Nature 22 Oct. 610/1 This algebra..does not discriminate between ‘polar’ vectors, e.g. forces and ‘axial’ vectors, e.g. couples. 1968 M. S. Livingston Particle Physics v. 101 Angular momentum is an axial vector quantity, unlike linear momentum which is a polar vector. polar vector a. Mathematics. A quantity having direction as well as magnitude, denoted by a line drawn from its original to its final position. axial vector = pseudovector n.; polar vector, a vector which changes sign when the signs of all its components are changed. ΘΚΠ the world > relative properties > number > mathematical number or quantity > tensor > [noun] > vector vector1846 the world > relative properties > number > mathematical number or quantity > tensor > [noun] > vector > specific type of R1675 radius vector1740 spin vector1882 axial vector1903 polar vector1903 free vector1904 position vector1906 four-vector1914 pseudovector1922 row vector1928 1846 W. R. Hamilton in London, Edinb. & Dublin Philos. Mag. 3rd Ser. 29 27 The algebraically imaginary part, being geometrically constructed by a straight line, or radius vector, which has, in general, for each determined quaternion, a determined length and determined direction in space, may be called the vector part, or simply the vector of the quaternion. a1865 W. R. Hamilton Elements Quaternions (1866) i. i. 1 A right line AB, considered as having not only length, but also direction, is said to be a Vector. 1873 J. C. Maxwell Treat. Electr. & Magnetism I. 9 A Vector, or Directed Quantity, requires for its definition three numerical specifications, and these may most simply be understood as having reference to the directions of the coordinate axes. 1882 G. M. Minchin Uniplanar Kinematics 109 The resultant of a system of vectors whose type is ω . IP dm, if each were directed from I to P, would be a vector ω M . IG directed from I to G. 1903 Nature 22 Oct. 610/1 This algebra..does not discriminate between ‘polar’ vectors, e.g. forces and ‘axial’ vectors, e.g. couples. 1968 M. S. Livingston Particle Physics v. 101 Angular momentum is an axial vector quantity, unlike linear momentum which is a polar vector. < as lemmas |
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