Intrinsic Differentiation and Integration in Programming Languages

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The discussion centers on the search for programming languages that inherently support both differentiation and integration, beyond interpreted languages like Maple and Mathematica. Numeric integration and differentiation are noted as straightforward to implement, contingent on accuracy requirements and data points available. There is a specific interest in symbolic differentiation to facilitate numerical integration. While no mainstream programming languages are identified as having built-in symbolic manipulation capabilities, the possibility of third-party packages or plugins is acknowledged. A Java plugin, the JAVA Math Engine, is mentioned as a potential resource for this functionality.
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are there any languages that have intrinsic differentiation and integration? other than interpreted languages like maple and mathematica?
 
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Symbolic or numeric? What would you applying the function to, a table of data? A stream of data?

Numeric integration and differentiation are relatively easy to implement depeding on the required degree of accuracy and the number data points you have to work with.
 
ironically i would like symbolic differentiation so that i can do numerical integration.
 
ice109 said:
ironically i would like symbolic differentiation so that i can do numerical integration.

I don't know of any programming languages that have a built-in symbolic manipulation package (other than specific math programs like you mentioned), but it might be possible to find a 3rd-party package or plugin.
 
Doing a quick Google search gave me a link to this plugin for Java:

The JAVA Math Engine
http://science.kennesaw.edu/~plaval/applets/Help.html
 
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