Recently in Mathematica Category

Fun with Wolfram|Alpha

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Go ahead, surf on over to Wolfram|Alpha and ask it the answer to "life, the universe and everything."

Ok, but that was easy.  How about doing a search on "1729".  It does come up with the special property of that number, but I am disappointed that it does not specifically point out that it is a "very interesting number."

Try "88mph".  Cool.

It cannot tell you how many Italian restaurants there are in St. Louis, but it can tell you when the next total solar eclipse is visible from your location.  It knows how high the song "Tangled Up in Blue" went in the charts (31).  It estimates that 1.2% of the U.S. population is named "William".  You can ask it "How are you?" and get a nice response.   However its "human discourse" functions are limited (but you can have it e-mail you when that improvement is implemented).  It does not "know the way to San Jose."

All fun aside, it may be useful for a lot of applications requiring a comparison, like say plotting the Dow Jones Industrial Average against the S&P 500.  Nice.  Or when you need a series expansion for the standard normal distribution.  (Though it doesn't understand it when you ask it in English.)  You get the idea.

Worth checking out.  Have fun!

Income and Substitution Effects

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My latest Mathematica demonstration uploaded to the Wolfram Demonstrations Project illustrates income and substitution effects via a constant elasticity of substitution utility function. Below the indifference curves and budget constraints is a graph of the Hicksian and Marshallian demand curves. Note that the graphs can be resized for better projection in front of a classroom.

inc_sub.gif

Download the free player software to run the demonstration.

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