Mathematica which

This function is defined as a module with local variable u :. The function gives the same result as before:. Now, however, the value of u does not escape from the function:. There are a number of functions built into the Wolfram Language which, like Plot , have various options you can set.

The Wolfram Language provides some general mechanisms for handling such options. If you do not give a specific setting for an option to a function like Plot , then the Wolfram Language will automatically use a default value for the option. The function Options [ function , option ] allows you to find out the default value for a particular option. Note that if you do this, the default value you have given will stay until you explicitly change it.

Options [ function ] give a list of the current default settings for all options. Manipulating default settings for options. Here is the default setting for the PlotRange option of Plot :. This resets the default for the PlotRange option. The semicolon stops the Wolfram Language from printing out the rather long list of options for Plot :. Until you explicitly reset it, the default for the PlotRange option will now be All :.

The graphics objects that you get from Plot or Show store information on the options they use. You can get this information by applying the Options function to these graphics objects.

Options [ plot ] show all the options used for a particular plot. Getting information on options used in plots. Here is a plot, with default settings for all options:. The setting used for the PlotRange option was All :. With sophisticated computational aesthetics and award-winning design, Mathematica presents your results beautifully—instantly creating top-of-the-line interactive visualizations and publication-quality documents.

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Versions of Mathematica aren't just incremental software updates; each successive one is a serious achievement that extends the paradigm of computation in new directions and introduces important new ideas. If you're one of the lucky people who used Mathematica 1, the code you wrote over three decades ago will still work—and you'll recognize the core ideas of Mathematica 1 in the vast system that is Mathematica today.

Mathematica has always stayed true to its core principles and careful design disciplines, letting it continually move forward and integrate new functionality and methodologies without ever having to backtrack.

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Learn how. Select [ list , crit ] picks out all elements e i of list for which crit [ e i ] is True. Select [ list , crit , n ] picks out the first n elements for which crit [ e i ] is True. Wolfram Research. Enable JavaScript to interact with content and submit forms on Wolfram websites. Learn how.

Which [ test 1 , value 1 , test 2 , value 2 , … ] evaluates each of the test i in turn, returning the value of the value i corresponding to the first one that yields True. Which has attribute HoldAll.