منابع مشابه
Generalized cofactors and nonlinear superposition principles
It is known from Lie’s works that the only ordinary differential equation of first order in which the knowledge of a certain number of particular solutions allows the construction of a fundamental set of solutions is, excepting changes of variables, the Riccati equation. For planar complex polynomial differential systems, the classical Darboux integrability theory exists based on the fact that ...
متن کاملOn Generalized Step-functions and Superposition Operators
For a given σ-ideal of sets, the notion of a generalized stepfunction is introduced and investigated in connection with the problem of sup-measurability of certain functions of two variables, regarded as superposition operators. 2000 Mathematics Subject Classification: 28A05, 28D05.
متن کاملMolecular Superposition
Three-dimensional superposition is an abstract task involving the placement of one object in the space of another. Computational techniques that superimpose molecules serve as a focal point for the interpretation and understanding of molecular data. Superposition plays an important role in correlating a wide assortment of information (e.g., energetic, physiochemical, biological, or pharmacokine...
متن کاملQualitative Superposition
Results are presented generalising superposition to non-linear systems by using qualitative differential equations. These are applied to allow the composition and decomposition of qualitative histories. Histories record the qualitative changes in a system over time, and they can be automatically generated by qualitative simulation. The qualitative superposition of such histories is shown to be ...
متن کاملBlast vibration modeling using linear superposition method
A linear superposition method was used for modeling the time history of the production blast vibrations and optimizing the blast sequence to reduce vibration levels in Sar-Cheshmeh copper mine, Kerman, Iran. A single-hole blast for modeling and two double-hole blasts with time delays of 25 and 65 ms between two holes for modeling validation were carried out. The generated vibrations were measur...
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ژورنال
عنوان ژورنال: Information and Control
سال: 1967
ISSN: 0019-9958
DOI: 10.1016/s0019-9958(67)90739-5