嘴唇可修剪
发表于 2025-3-23 11:14:03
Preliminaries,The study of spherical harmonics has a long history, over 200 years by now. Classical spherical harmonics on the unit sphere of three dimensional Euclidean space can be viewed as extensions of trigonometric functions on the unit circle.
领导权
发表于 2025-3-23 17:52:38
Spherical Harmonics,This chapter presents a theory of spherical harmonics from the viewpoint of invariant linear function spaces on the sphere. It is shown that the system of spherical harmonics is the only system of invariant function spaces that is both complete and closed, and cannot be reduced further.
小争吵
发表于 2025-3-23 19:38:52
Differentiation and Integration over the Sphere,In this chapter, we discuss some properties and formulas for differentiation and integration involving spherical harmonics.
FAWN
发表于 2025-3-23 23:53:36
Approximation Theory,For functions of a single variable, there is a rich literature on best approximations by ordinary polynomials and by trigonometric polynomials.
FISC
发表于 2025-3-24 03:31:41
Applications: Spectral Methods,This chapter begins with two illustrations of the application of the material from the preceding chapters.
Terminal
发表于 2025-3-24 10:17:31
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Habituate
发表于 2025-3-24 14:13:23
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ARBOR
发表于 2025-3-24 18:55:32
Kendall Atkinson,Weimin Hans in this study is outlined in Table 1. The questionnaire was divided up into four parts; in the first part, the indications were specifled. The number of procedures carried out for each indication was requested. The success rate was then established, the total number of complications observed, and
Duodenitis
发表于 2025-3-24 20:18:57
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藐视
发表于 2025-3-25 03:07:11
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