纪念性
发表于 2025-3-21 17:16:18
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磨碎
发表于 2025-3-21 20:57:59
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Insulin
发表于 2025-3-22 03:42:51
Spectral Decompositionthe operator may “look” quite complicated, while in others it may take a simple form. In a “special” basis, the operator may look the simplest: It may be a diagonal matrix. This chapter investigates conditions under which a basis exists in which the operator is represented by a diagonal matrix.
savage
发表于 2025-3-22 08:10:54
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Irritate
发表于 2025-3-22 12:45:37
Classical Orthogonal Polynomialsas solutions to differential equations arising in various physical problems. Such polynomials can be produced by starting with 1,.,..,… and employing the Gram-Schmidt process. However, there is a more elegant, albeit less general, approach that simultaneously studies most polynomials of interest to
前兆
发表于 2025-3-22 15:56:13
Fourier Analysisal modes, in electromagnetic theory and the frequency analysis of waves, in noise considerations and thermal physics, in quantum theory and the transformation between momentum and coordinate representations, and in relativistic quantum field theory and creation and annihilation operation formalism.
蕨类
发表于 2025-3-22 19:06:43
Calculus of Residuesfinite integrals that are impossible to calculate otherwise. The derivation, application, and analysis of this tool constitute the main focus of this chapter. In the preceding chapter we saw examples in which integrals were related to expansion coefficients of Laurent series. Here we will develop a
使混合
发表于 2025-3-22 23:33:02
Separation of Variables in Spherical Coordinatesndent variable, leading to ordinary differential equations (ODEs). In other areas of physics in which extended objects such as fields are studied, variations with respect to position are also important. Partial derivatives with respect to coordinate variables show up in the differential equations, w
维持
发表于 2025-3-23 02:50:45
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分开
发表于 2025-3-23 07:33:25
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