spherical harmonics in a sentence

• CSR, spherical harmonic coefficients with a maximum degree of 60.
• Are the spherical harmonics ( Abramowitz and Stegun, 1964 ).
• But unlike orbital angular momentum the eigenvectors are not spherical harmonics.
• Likewise I will express this function via the spherical harmonics transform.
• Spherical harmonics are functions that oscillate over the surface of a sphere.
• Spherical harmonics are often used to approximate the shape of the geoid.
• In the mathematical description of atmospheric waves, spherical harmonics are used.
• Further, spherical harmonics are group theoretic discussion of SO ( 3 ).
• And are spherical harmonics, which themselves are also spherical tensors of rank.
• Associated Legendre polynomials play a vital role in the definition of spherical harmonics.
• It's difficult to see spherical harmonics in a sentence .
• For the sphere, for example, the eigenfunctions are the spherical harmonics.
• The end of the century also saw a very detailed discussion of spherical harmonics.
• It is an issue of numerical integration with special functions ( Spherical Harmonics ).
• The angular portions of the solutions to such equations take the form of spherical harmonics.
• An efficient method must be used to encode this data, such as spherical harmonics.
• The spherical harmonics are derived from the approach of looking for harmonic functions of the form
• :You might have better luck searching for discussions of the spherical harmonic differential equation.
• I'm trying to normalize Associated Legendre polynomials to turn them into Spherical harmonics.
• Spherical harmonics can represent any scalar field ( function of position ) that satisfies certain properties.
• The spherical harmonics turn out to be critical to practical solutions of Laplace's equation.