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Jacobian matrix and determinant. For best results, use functions R^n -> R^n. Computes the Jacobian matrix (matrix of partial derivatives) of a given vector-valued function with respect to an appropriate list of variables. Get the free "Jacobian matrix and determinant" widget for your website, blog, Wordpress, Blogger, or iGoogle.

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For example, the function x2 x 2 takes the reals (domain) to the non-negative reals (range). The sine function takes the reals (domain) to the closed interval [−1,1] [ − 1, 1] (range). (Both of these functions can be extended so that their domains are the complex numbers, and the ranges change as well.) Domain and Range Calculator: Wolfram ...

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For a sequence {xn} { x n } indexed on the natural ...Wolfram, creators of the Wolfram Language, Wolfram|Alpha, Mathematica, Development Platform, Data Science Platform, Finance Platform, SystemModeler... website symbol Sign in ». Mathematica Online brings the world's ultimate computation system to the modern cloud environment. Use the power of Mathematica interactive notebooks to work directly in your web browser—with no installation or configuration required—and seamlessly share documents and resources in the cloud. Limits, a foundational tool in calculus, are used to determine whether a function or sequence approaches a fixed value as its argument or index approaches a given point. Limits can be defined for discrete sequences, functions of one or more real-valued arguments or complex-valued functions. For a sequence {xn} { x n } indexed on the natural ... credit one. For actual notebooks, I'm afraid they're often quite hard to come by aside from the proper Wolfram Documentation. 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