harmonic function sentence in Hindi
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- All harmonic functions are analytic, i . e . they can be locally expressed as power series.
- This equation states that hydraulic head is a harmonic function, and has many analogs in other fields.
- The spherical basis closely relates to the description of angular momentum in quantum mechanics and spherical harmonic functions.
- Alternatively, this equation follows from the relation of the spherical harmonic functions with the Wigner D-matrix.
- These definitions reflect a relationship between martingale theory and potential theory, which is the study of harmonic functions.
- Fourth, one can use conformal symmetry to extend harmonic functions to harmonic functions on conformally flat Riemannian manifolds.
- Fourth, one can use conformal symmetry to extend harmonic functions to harmonic functions on conformally flat Riemannian manifolds.
- The " weak maximum principle " for harmonic functions is a simple consequence of facts from calculus.
- Matrix elements and the real part of corresponding harmonic functions of cubic operator basis in J = 1 case.
- That the latter is a Hilbert space at all is a consequence of the mean value theorem for harmonic functions.
- More recent background field removal methods directly or indirectly exploit the fact that the background field is a harmonic function.
- The definition of harmonic functions and 1-forms is intrinsic and only relies on the underlying Riemann surface structure.
- His works include theory of functions of complex variables, theory of approximation, and theory of potential and harmonic functions.
- Any smooth complex-valued function on a sphere can be written as a weighted sum of the spherical harmonic functions.
- Let " u " be a real harmonic function on ? extending to a smooth function on its closure.
- This mean value property immediately implies that a non-constant harmonic function cannot assume its maximum value at an interior point.
- Third, one can use conformal transforms to map harmonic functions in one disk to harmonic functions on a half-plane.
- Third, one can use conformal transforms to map harmonic functions in one disk to harmonic functions on a half-plane.
- Just as harmonic functions in 2 variables are closely related to complex analytic functions, so are biharmonic functions in 2 variables.
- The eigenvalue, E _ { e } ( X _ n ) is often approximated by an harmonic function for simplification.
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