harmonic : Idioms & Phrases

noun analysis of a periodic function into a sum of simple sinusoidal components
Fourier analysis.

noun a law stating that the ratio of the square of the revolutionary period (in years) to the cube of the orbital axis (in astronomical units) is the same for all planets
Kepler's third law.

noun the mean of n numbers expressed as the reciprocal of the arithmetic mean of the reciprocals of the numbers

noun a periodic motion in which the displacement is either symmetrical about a point or is the sum of such motions

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 more simple harmonic motions, make other kinds of harmonic motion. The motion of the pendulum bob of a clock is approximately simple harmonic motion.

noun (mathematics) a progression of terms whose reciprocals form an arithmetic progression

(Anat.), an articulation by simple apposition of comparatively smooth surfaces or edges, as between the two superior maxillary bones in man; called also harmonic, and harmony.

(Arith. & Alg.), certain relations of numbers and quantities, which bear an analogy to musical consonances.

noun periodic motion in which the restoring force is proportional to the displacement

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.