| 词汇 | vector-calculus |
| 释义 | BETA vector calculuscollocation in Englishmeanings of vectorand calculusThese words are often used together. Click on the links below to explore the meanings. vector noun[ C ] uk /ˈvek.tər/ us /ˈvek.tɚ/ mathematics, physics a quantity that has both size ... See more at vector calculus noun uk /ˈkæl.kjə.ləs/ us /ˈkæl.kjə.ləs/ mathematics specialized an area of advanced mathematics in which continuously changing values ... See more at calculus Examples of vector calculusvector calculus The book assumes a certain level of knowledge of physics and vectorcalculus, but most of the key mathematical concepts required in the text are summarized in an appendix. A well-known vectorcalculus identity states that the curl of the gradient of any function is 0. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. This textbook used vectorcalculus systematically to solve problems of celestial mechanics. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. This is not customarily considered in vectorcalculus or in physics. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. The other symbols in these equations refer to the divergence and curl, which are concepts from vectorcalculus. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. This is used implicitly in vectorcalculus, for example to create the cross product vector from the wedge product of two vectors. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. In this case the content is just that of the cross product of traditional vectorcalculus. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. These structures give rise to a volume form, and also the cross product, which is used pervasively in vectorcalculus. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. There are two important alternative generalizations of vectorcalculus. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. Fields that are now often introduced with coordinate-free treatments include vectorcalculus, tensors, and differential geometry. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. The subject covers concepts including conic sections, complex numbers, differential equations, kinematics, vectorcalculus and mechanics. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. It might also be noted that in this way of thinking, there is no divergence, gradient, curl, or vectorcalculus. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. He was also largely responsible for the development of the vectorcalculus techniques still used today in electrodynamics and fluid mechanics. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. The term position vector is used mostly in the fields of differential geometry, mechanics and occasionally in vectorcalculus. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. The second vectorcalculus identity above states that the divergence of the curl of a vector field is zero. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. 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. |
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