| 单词 | spherical harmonic |
| 释义 | > as lemmasspherical harmonic 3. Mathematics. = harmonic function at sense A. 5b, in the wider sense. spherical harmonic a harmonic function having a relation to Spherical Geometry akin to that which functions expressing harmonic motion have to Plane Geometry. Such are spherical solid harmonics, spherical surface harmonics, harmonic sectorial, harmonic tesseral, and zonal harmonics, etc. ΘΚΠ the world > relative properties > number > algebra > [noun] > expression > function > harmonic function harmonic1867 harmonic motion1867 tesseral harmonic1873 1867 W. Thomson & P. G. Tait Treat. Nat. Philos. I. i. i. App. B General expressions for complete spherical harmonics of all orders. 1873 J. C. Maxwell Treat. Electr. & Magnetism I. 163 When the poles are given, the value of the harmonic for a given point on the sphere is a perfectly definite numerical quantity. 1885 H. W. Watson & S. H. Burbury Math. Theory Electr. & Magn. I. 67 To express the potential at any point P of any distribution of matter in a series of spherical solid harmonics. 1885 H. W. Watson & S. H. Burbury Math. Theory Electr. & Magn. I. 68 It is evident that the density of this distribution on the sphere must by symmetrical about OC, and must therefore be expressible in a series of zonal harmonics with OC as axis. spherical harmonic Chiefly in special collocations, as spherical excess, spherical harmonic, spherical inversion, spherical projection, etc.: see the nouns.extracted from sphericaladj.n.< as lemmas |
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