Titlebook: Caustics, Catastrophes and Wave Fields; Yu. A. Kravtsov,Yu. I. Orlov Book 1993Latest edition Springer-Verlag Berlin Heidelberg 1993 Oscill

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Macronutrients

我正派

Observability for Parabolic Equations,Until recently caustics have been treated predominantly on an elementary level like geometrical objects — the envelopes of families of rays. However, physical measurements treat caustics as wave objects, namely, diffuse regions with enhanced amplitude of the wave field.

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种植,培养

Neuere Entwicklungen der Organisation,The standard integrals derived in the catastrophe theory do not exhaust the list of standard functions suitable for a description of caustic fields. In this chapter we reflect on the immense possibilities which mathematics opens up to explore nature.

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Introduction,Until recently caustics have been treated predominantly on an elementary level like geometrical objects — the envelopes of families of rays. However, physical measurements treat caustics as wave objects, namely, diffuse regions with enhanced amplitude of the wave field.

自由职业者

,Maslov’s Method of the Canonical Operator,In this chapter we outline the basic relationships for Maslov’s method (Sect.6.1), illustrate the method by a number of examples (Sect.6.2) and describe a promising generalization of the method, which was suggested by . and . (Sect.6.3). It is based on the idea of fractional transformations.

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Modifications and Generalizations of Standard Integrals and Functions,The standard integrals derived in the catastrophe theory do not exhaust the list of standard functions suitable for a description of caustic fields. In this chapter we reflect on the immense possibilities which mathematics opens up to explore nature.

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