词汇 | definite-integral |
释义 | BETA definite integralcollocation in Englishmeanings of definiteand integralThese words are often used together. Click on the links below to explore the meanings. definite noun[ C ] uk /ˈdef.ɪ.nət/ us /ˈdef.ən.ət/ something that is certain ... See more at definite integral noun[ C ] uk /ˈɪn.tɪ.ɡrəl/ us /ˈɪn.t̬ə.ɡrəl/ mathematics specialized a number or function that gives the area under a curve on a graph between ... See more at integral Examples of definite integraldefinite integral Such an integral is often written symbolically just like a standard definiteintegral, perhaps with "infinity" as a limit of integration. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. The former definition would make such concepts as the trapezoidal approximation to a definiteintegral ill-defined. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. Form the definiteintegral from 0 to "x". From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. If the integral above was used to give a definiteintegral between -1 and 1 the answer would be 0. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. It can variously be expressed in the form of a definiteintegral, a trigonometric series, and various other special functions. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. When integrating over a specified domain, we speak of a "definiteintegral". From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. The normalization causes the definiteintegral of the function over the real numbers to equal 1 (whereas the same integral of the unnormalized sinc function has a value of). From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. The "definiteintegral" inputs a function and outputs a number, which gives the algebraic sum of areas between the graph of the input and the x-axis. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. Romberg's method can be used to estimate the value of a definiteintegral by completing the values in a triangle of numbers. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. While bounded hypervolume is a useful insight, the more important idea of definite integrals is that they represent total quantities within space. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. Many of the amazing definite integrals listed in tables or produced by computer algebra systems are nothing but special cases of this formula. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. The integral is not actually the antiderivative, but the fundamental theorem provides a way to use antiderivatives to evaluate definite integrals. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. Another difference is in the placement of limits for definite integrals. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. Cauchy early undertook the general theory of determining definite integrals, and the subject has been prominent during the 19th century. 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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