词汇 | fundamental-theorem-of-calculus |
释义 | BETA fundamental theorem of calculuscollocation in Englishmeanings of fundamental, theoremand calculusThese words are often used together. Click on the links below to explore the meanings. fundamental adjective uk /ˌfʌn.dəˈmen.təl/ us /ˌfʌn.dəˈmen.t̬əl/ forming the base, from which everything ... See more at fundamental theorem noun[ C ] uk /ˈθɪə.rəm/ us /ˈθiː.rəm/ (especially in mathematics) a formal statement that can be shown to be true ... See more at theorem 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 fundamental theorem of calculusfundamental theorem of calculus The value of the final integral thus follows from the fundamentaltheoremofcalculus. Furthermore, when evaluating definite integrals using the fundamentaltheoremofcalculus, the constant will always cancel with itself. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. This is another formulation of the fundamentaltheoremofcalculus. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. The fundamentaltheoremofcalculus states that antidifferentiation is the same as integration. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. The usual fundamentaltheoremofcalculus for single-variable calculus has the following local generalization. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. In effect, the fundamentaltheoremofcalculus was built into his calculations. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. It may be seen as a stochastic generalization of the (second) fundamentaltheoremofcalculus. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. Integration by substitution can be derived from the fundamentaltheoremofcalculus as follows. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. This is a consequence of the fundamentaltheoremofcalculus and the fact that derivative of ln ("x") is 1/ "x". From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. In particular, the fundamentaltheoremofcalculus allows one to solve a much broader class of problems. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. The fundamentaltheoremofcalculus establishes the relationship between indefinite and definite integrals and introduces a technique for evaluating definite integrals. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. For most integrands we can't use the fundamentaltheoremofcalculus to compute the integral analytically; we have to approximate it numerically. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. Using the fundamentaltheoremofcalculus often requires finding an antiderivative. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. In one dimension, it is equivalent to the fundamentaltheoremofcalculus. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. Thus, in the case that is a 0-form and is a closed interval of the real line, this reduces to the fundamentaltheoremofcalculus. 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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