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Line, Surface and Contour Integration “Find the integral of the function ” is a typical core thing one wants to do in calculus. And in Mathematica and the Wolfram Language that’s achieved with Integrate. And over the years that’s exactly what we’ve achieved—for integrals, sums, differential equations, etc. And in Version 13.3
So many discoveries, so many inventions, so much achieved, so much learned. And key to everything we do is leveraging what we have already done—often taking what in earlier years was a pinnacle of technical achievement, and now using it as a routine building block to reach a level that could barely even be imagined before.
But, first and foremost, the story of the Second Law is the story of a great intellectual achievement of the mid-19th century. There’s a discussion about H for systems that interact, and how there’s an equilibrium value achieved. It’s exciting now, of course, to be able to use the latest 21st-century ideas to take another step.
When you do operations on Around numbers the “errors” are combined using a certain calculus of errors that’s effectively based on Gaussian distributions—and the results you get are always in some sense statistical. Also in the area of calculus we’ve added various conveniences to the handling of differential equations. ✕.
And for the past four years I’ve been sharing the “behind the scenes” of how it’s achieved—by livestreaming our Wolfram Language design review meetings. And that’s finally been achieved in Version 13.1. If one’s doing something like astronomy, this kind of “physical” date computation is probably what one wants. ✕.
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