| 词汇 | example_english_differential-geometry |
| 释义 | differential geometrycollocation in Englishmeanings of differentialand geometryThese words are often used together. Click on the links below to explore the meanings. Or, see other collocations with geometry. differential adjective uk /ˌdɪf.əˈren.ʃəl/ us /ˌdɪf.əˈren.ʃəl/ based on ... See more at differential geometry noun[U] uk /dʒiˈɒm.ə.tri/ us /dʒiˈɑː.mə.tri/ the area of mathematics relating to the study of space and the relationships between points, lines, curves, ... See more at geometry Examples of differential geometryThese examples are from corpora and from sources on the web. Any opinions in the examples do not represent the opinion of the Cambridge Dictionary editors or of Cambridge University Press or its licensors. A novice reader expecting to read this section and walk away understanding affine differentialgeometry and its use in mechanics will be disappointed. The div, grad and curl operator s are usually introduced without reference to differentialgeometry. In order to discretize the fundamental laws of electromagnetism properly, it is important to appreciate their link with differentialgeometry and algebraic topology (cohomology theory). This directional/dynamical derivative is usually defined within differentialgeometry. However, there are two classes of moduli spaces where the methods of differentialgeometry are equally powerful. We briefly touch upon the realm of differentialgeometry with two remarks. The derivatives are to be understood in the usual sense of the calculus of differentialgeometry. They included the theory of partial differential equations, spectral theory, dynamical systems, complete integrability, differentialgeometry, and complex analysis. From the point of view of differentialgeometry, this condition is quite restrictive. The notation also comes in handy for expressing the concept of volume on curved surfaces as in differentialgeometry. It must also be possible to prove this result directly from considerations of differentialgeometry. The proof follows from the standard formulae of differentialgeometry. The theoretical framework for a general treatment of surfaces is to be found in the literature on differentialgeometry. This last reference gives lucid explanations for the concept from differentialgeometry used in this section. From the point of view of differentialgeometry this may not be an issue. The instruments employed to solve such a problem are quite sophisticated, including techniques from orthogonal polynomials, degree theory, optimization, to differentialgeometry and so on. These coordinates, therefore, simplify the formulation of our equations, which are derived with aid of the formalism of differentialgeometry. Using mathematical tools from differentialgeometry and group theory, an explicit linear calibration model is formulated based on the leg-end distance errors. Using the mathematical tools from differentialgeometry and group theory, a simultaneous base and tool calibration algorithm is developed for the self-calibrated parallel robots. These examples are from corpora and from sources on the web. Any opinions in the examples do not represent the opinion of the Cambridge Dictionary editors or of Cambridge University Press or its licensors. Want to learn more? Go to the definition of differential Go to the definition of geometry See other collocations with geometry |
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