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Implicit function - Wikipedia, the free encyclopedia
In mathematics, an implicit function is a function in which the dependent variable has not been given "explicitly" in terms of the independent variable. To give a function f explicitly is to pr...
en.wikipedia.org/wiki/Implicit_function |
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[ Follow Ups ] [ Post Followup ] [ Calculus Message Board ] [ FAQ ] ... Posted by Lori on December 10, 2000 at 19:43:31: ... Re: explicit differentiation Hagen 03:01:19 12/12/00 (0)
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As in most cases that require implicit differentiation, the result in in terms of both x and y. In general, if giving the result in terms of x alone were possible, the original expresson could be solved for y as an explicit function of x, and implicit differentiation, while still correct, would not be necessary.
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A heterogeneous inheritance system is presented. ... Heterogeneous systems, in contrast to the homogeneous systems which have been the focus of recent research, make an explicit differentiation between strict IS-A links which do not allow exceptions and defeasible IS-A links which do.
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The ROME system is an experimental decision support system generator that incorporates facilities originally developed for 'expert' artificial intelligence systems. Like other DSS generators, it provides a set of tools for building, running, and documenting mathematical models of business activities. ... Beyond that, however,
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This second method illustrates the process of implicit differentiation. It is important to note that the derivative expression for explicit differentiation involves x only, while the derivative expression for implicit differentiation may involve BOTH x AND y .
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Limits and Imp/Explicit Differentiation Calculus & Beyond discussion ... Limits and Imp/Explicit Differentiation Share It Thread Tools Search this Thread...
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