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2 definitions found
 for Spherical harmonic analysis
From The Collaborative International Dictionary of English v.0.48 :

  Harmonic \Har*mon"ic\ (h[aum]r*m[o^]n"[i^]k), Harmonical
  \Har*mon"ic*al\ (-[i^]*kal), a. [L. harmonicus, Gr. "armoniko`s;
     cf. F. harmonique. See Harmony.]
     1. Concordant; musical; consonant; as, harmonic sounds.
        [1913 Webster]
  
              Harmonic twang! of leather, horn, and brass. --Pope.
        [1913 Webster]
  
     2. (Mus.) Relating to harmony, -- as melodic relates to
        melody; harmonious; esp., relating to the accessory sounds
        or overtones which accompany the predominant and apparent
        single tone of any string or sonorous body.
        [1913 Webster]
  
     3. (Math.) Having relations or properties bearing some
        resemblance to those of musical consonances; -- said of
        certain numbers, ratios, proportions, points, lines,
        motions, and the like.
        [1913 Webster]
  
     Harmonic interval (Mus.), the distance between two notes of
        a chord, or two consonant notes.
  
     Harmonical mean (Arith. & Alg.), certain relations of
        numbers and quantities, which bear an analogy to musical
        consonances.
  
     Harmonic motion, the motion of the point A, of the foot of
        the perpendicular PA, when P moves uniformly in the
        circumference of a circle, and PA is drawn perpendicularly
        upon a fixed diameter of the circle. This is simple
        harmonic motion. The combinations, in any way, of two or
        more simple harmonic motions, make other kinds of harmonic
        motion. The motion of the pendulum bob of a clock is
        approximately simple harmonic motion.
  
     Harmonic proportion. See under Proportion.
  
     Harmonic series or Harmonic progression. See under
        Progression.
  
     Spherical harmonic analysis, a mathematical method,
        sometimes referred to as that of Laplace's Coefficients,
        which has for its object the expression of an arbitrary,
        periodic function of two independent variables, in the
        proper form for a large class of physical problems,
        involving arbitrary data, over a spherical surface, and
        the deduction of solutions for every point of space. The
        functions employed in this method are called spherical
        harmonic functions. --Thomson & Tait.
  
     Harmonic suture (Anat.), an articulation by simple
        apposition of comparatively smooth surfaces or edges, as
        between the two superior maxillary bones in man; -- called
        also harmonia, and harmony.
  
     Harmonic triad (Mus.), the chord of a note with its third
        and fifth; the common chord.
        [1913 Webster]

From The Collaborative International Dictionary of English v.0.48 :

  Spherical \Spher"ic*al\, Spheric \Spher"ic\, a. [L. sphaericus,
     Gr. ???: cf. F. sph['e]rique.]
     1. Having the form of a sphere; like a sphere; globular;
        orbicular; as, a spherical body.
        [1913 Webster]
  
     2. Of or pertaining to a sphere.
        [1913 Webster]
  
     3. Of or pertaining to the heavenly orbs, or to the sphere or
        spheres in which, according to ancient astronomy and
        astrology, they were set.
        [1913 Webster]
  
              Knaves, thieves, and treachers by spherical
              predominance.                         --Shak.
        [1913 Webster]
  
              Though the stars were suns, and overburned
              Their spheric limitations.            --Mrs.
                                                    Browning.
        [1913 Webster]
  
     Spherical angle, Spherical coordinate, Spherical
     excess, etc. See under Angle, Coordinate, etc.
  
     Spherical geometry, that branch of geometry which treats of
        spherical magnitudes; the doctrine of the sphere,
        especially of the circles described on its surface.
  
     Spherical harmonic analysis. See under Harmonic, a.
  
     Spherical lune,portion of the surface of a sphere included
        between two great semicircles having a common diameter.
  
     Spherical opening, the magnitude of a solid angle. It is
        measured by the portion within the solid angle of the
        surface of any sphere whose center is the angular point.
        
  
     Spherical polygon,portion of the surface of a sphere
        bounded by the arcs of three or more great circles.
  
     Spherical projection, the projection of the circles of the
        sphere upon a plane. See Projection.
  
     Spherical sector. See under Sector.
  
     Spherical segment, the segment of a sphere. See under
        Segment.
  
     Spherical triangle,re on the surface of a sphere, bounded
        by the arcs of three great circles which intersect each
        other.
  
     Spherical trigonometry. See Trigonometry.
        [1913 Webster] -- Spher"ic*al*ly, adv. --
        Spher"ic*al*ness, n.
        [1913 Webster]

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