ED Surge
NOVEMBER 7, 2023
That’s the argument of Peter Liljedahl, a professor of mathematics education at Simon Fraser University in Vancouver, who has spent years researching what works in teaching. These are the students who end up hitting a wall when math courses move from easier algebra to more advanced concepts in, say, calculus, he argues. “At
Stephen Wolfram
JUNE 28, 2023
Line, Surface and Contour Integration “Find the integral of the function ” is a typical core thing one wants to do in calculus. But particularly in applications of calculus, it’s common to want to ask slightly more elaborate questions, like “What’s the integral of over the region ?”, or “What’s the integral of along the line ?”
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Stephen Wolfram
JANUARY 9, 2024
Then for each function (or other construct in the language) there are pages that explain the function, with extensive examples. So did that mean we were “finished” with calculus? Somewhere along the way we built out discrete calculus , asymptotic expansions and integral transforms. But even now there are still frontiers.
Stephen Wolfram
JUNE 29, 2022
we have a new symbolic construct, Threaded , that effectively allows you to easily generalize listability. You can give Threaded as an argument to any listable function, not just Plus and Times : ✕. we’re adding SymmetricDifference : find elements that (in the 2-argument case) are in one list or the other, but not both.
Stephen Wolfram
JANUARY 31, 2023
It began partly as an empirical law, and partly as something abstractly constructed on the basis of the idea of molecules, that nobody at the time knew for sure existed. But what’s important for our purposes here is that in the setup Carnot constructed he basically ended up introducing the Second Law.
Stephen Wolfram
DECEMBER 14, 2022
there’s a new construct NetExternalObject that allows you to run trained neural nets “from the wild” in the same integrated framework used for actual Wolfram-Language-specified neural nets. Calculus & Its Generalizations. Is there still more to do in calculus? In Version 13.2 Another new tree feature in Version 13.2
Stephen Wolfram
SEPTEMBER 29, 2023
And if we treat these as equivalent and merge them we now get: (The question of “state equivalence” is a subtle one, that ultimately depends on the operation of the observer, and how the observer constructs their perception of what’s going on. It’s a new kind of fundamentally multiway construct.
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