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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. Now we can use the path function to make a “spiralling” tour video: College Calculus. In Version 13.1

Calculus 114
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Don’t Give Up on Algebra: Let’s Shift the Focus to Instruction

National Science Foundation

Similarly, reformers have focused on the timing of the course, aiming to enroll students as early as possible to open pathways to calculus and to diversify access to higher level mathematics. Second, teachers can support students to develop flexibility within and across procedures. Boaler & Leavitt, 2019). Compared with what?

Algebra 76
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The heart of the loop: Reattempts without penalty

Robert Talbert, Ph.D.

be the primary measure of success in a course, and some measure of grace and flexibility will be included along with high standards and "rigor" And for other instructors, this concept raises more questions than answers. For some instructors, it provides hope that student growth will (finally!) A misplaced trust in statistics.

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

Stephen Wolfram

So did that mean we were “finished” with calculus? Somewhere along the way we built out discrete calculus , asymptotic expansions and integral transforms. And in Version 14 there are significant advances around calculus. Another advance has to do with expanding the range of “pre-packaged” calculus operations.

Computer 102
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Multicomputation: A Fourth Paradigm for Theoretical Science

Stephen Wolfram

Events are like functions, whose “arguments” are incoming tokens, and whose output is one or more outgoing tokens. And the same issue arose for Alonzo Church’s lambda calculus (introduced around 1930). At the level of individual events, ideas from the theory and practice of computation are useful. One is so-called Böhm trees.

Science 64
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Even beyond Physics: Introducing Multicomputation as a Fourth General Paradigm for Theoretical Science

Stephen Wolfram

Events are like functions, whose “arguments” are incoming tokens, and whose output is one or more outgoing tokens. And the same issue arose for Alonzo Church’s lambda calculus (introduced around 1930). At the level of individual events, ideas from the theory and practice of computation are useful. One is so-called Böhm trees.

Physics 65