Remove Accessibility Remove Argumentation Remove Calculus Remove Flexibility
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Don’t Give Up on Algebra: Let’s Shift the Focus to Instruction

National Science Foundation

Researchers and policy makers have pushed to open that gate—providing more students access to algebra, focusing in particular on those students historically denied access to higher-level mathematics. Thus, improving access is alone insufficient to remedy racial inequities in mathematics education. Domina et al.,

Algebra 76
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How Did We Get Here? The Tangled History of the Second Law of Thermodynamics

Stephen Wolfram

But he had a second hypothesis too—based, he said, on the ideas of “that most ingenious gentleman, Monsieur Descartes”: that instead air consists of “flexible particles” that are “so whirled around” that “each corpuscle endeavors to beat off all others”.

Energy 88
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Launching Version 13.1 of Wolfram Language & Mathematica ??????

Stephen Wolfram

You can give Threaded as an argument to any listable function, not just Plus and Times : &#10005. we’re adding SymmetricDifference : find elements that (in the 2-argument case) are in one list or the other, but not both. it’s now accessible from the button in the new default notebook toolbar. In Version 13.1 &#10005.

Calculus 114
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The Story Continues: Announcing Version 14 of Wolfram Language and Mathematica

Stephen Wolfram

And for AIs we’re providing a variety of tools —like immediate computable access to documentation , and computable error handling. But it’s also possible for anyone to post their prompts in the Wolfram Cloud and make them publicly (or privately) accessible. So did that mean we were “finished” with calculus? In Version 14.0

Computer 102
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The Physicalization of Metamathematics and Its Implications for the Foundations of Mathematics

Stephen Wolfram

But beginning a little more than a century ago there emerged the idea that one could build mathematics purely from formal axioms, without necessarily any reference to what is accessible to sensory experience. and zero arguments: α[ ]. And in a way our Physics Project begins from a similar place. &#10005. &#10005.

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Computational Foundations for the Second Law of Thermodynamics

Stephen Wolfram

Sometimes textbooks will gloss over everything; sometimes they’ll give some kind of “common-sense-but-outside-of-physics argument”. Once one has the idea of “equilibrium”, one can then start to think of its properties as purely being functions of certain parameters—and this opens up all sorts of calculus-based mathematical opportunities.