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Spherical harmonics are important in many theoretical and practical applications, particularly in the computation of atomic orbital electron configurations, representation of gravitational fields, geoids, and the magnetic fields of planetary bodies and stars, and characterization of the cosmic microwave background radiation.
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Spherical and harmonics
Spherical harmonics were first investigated in connection with the Newtonian potential of Newton's law of universal gravitation in three dimensions.
Spherical and are
Spherical concave backing surfaces support the diaphragm when excessive pressures are applied and prevent the stresses within the diaphragm from exceeding the elastic limit.
Spherical errors occur when errors have both uniform variance ( homoscedasticity ) and are uncorrelated with each other.
Spherical mechanisms are constructed by connecting links with hinged joints such that the axes of each hinge passes through the same point.
Spherical coordinates, projected on the celestial sphere, are analogous to the geographic coordinate system used on the surface of the Earth.
Spherical waves are waves whose amplitude depends only upon the radial distance r from a central point source.
Spherical geometry obeys two of Euclid's postulates: the second postulate (" to produce a finite straight line continuously in a straight line ") and the fourth postulate (" that all right angles are equal to one another ").
Spherical mirrors are easier to make than parabolic mirrors and they are often used to produce approximately collimated light.
Spherical codes are higher-dimensional analogues of Tammes problem, which arose as an attempt to explain the distribution of pores on pollen grains.
which regular solutions for positive energies are given by so-called Bessel functions of the first kind ' so that the solutions written for R are the so-called Spherical Bessel function
Spherical coordinates are one of the most used curvilinear coordinate systems in such fields as Earth sciences, cartography, and physics ( in particular quantum mechanics, relativity ), engineering, etc.
Spherical tokamaks are not limited by the same instabilities as tokamaks and as such the area is receiving considerable experimental attention.
Spherical astronomy is the branch of astronomy that is concerned with where celestial objects are located and how they move on the celestial sphere.
Spherical groups with a radially fibrous structure and bristled with crystals on the surface are not uncommon.
Spherical and many
Spherical symmetry is a characteristic feature of many solutions of Einstein's field equations of general relativity, especially the Schwarzschild solution.
Spherical and practical
Spherical and .
* Simon Newcomb, A Compendium of Spherical Astronomy ( Macmillan, 1906 – republished by Dover, 1960 ), 160-172.
* Spherical concave and convex mirrors do not focus parallel rays to a single point due to spherical aberration.
** M. C. Escher used special shapes of mirrors in order to achieve a much more complete view of his surroundings than by direct observation in Hand with Reflecting Sphere ( also known as Self-Portrait in Spherical Mirror ).
Spherical coordinates ( r, θ, φ ) as often used in mathematics: radial distance r, azimuthal angle θ, and polar angle φ.
Spherical objects with this surface area have a radius or diameter in the range 89, 000 km to 564, 000 km.
Spherical stone shot were chosen because of cheapness ; forged iron, bronze and lead balls were tried, but the expense prevented their general adoption.
* Spherical coordinate system represents a point in three space by the distance from the origin and two angles measured from two reference lines which intersect the origin.
0.273 seconds.