Stephen Wolfram

SEPTEMBER 9, 2021

Many would say that modern exact science was launched in the 1600s with the introduction of what we can call the “ mathematical paradigm ”: the idea that things in the world can be described by mathematical equations—and that their behavior can be determined by finding solutions to these equations.

Science 64

Science Sciences Physics Mathematics 64

Robert Talbert, Ph.D.

APRIL 1, 2022

Both grades and marks are shorthand indicators of some level of achievement; the mark is given at the level of an individual piece of student work. But performing mathematical computations on categorical data is like averaging ZIP codes, which are also numbers but not numerical data.

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Primary Mathematics Argumentation Algebra 52

Stephen Wolfram

JUNE 28, 2023

And in Mathematica and the Wolfram Language that’s achieved with Integrate. They’re mathematically more complex, but each one we successfully cover makes a new collection of problems accessible to exact solution and reliable numerical and symbolic computation. or “What’s the integral of along the line ?” But now in Version 13.3

Computer 118

Computer Calculus Construction Mathematics 118

Stephen Wolfram

MAY 17, 2021

Traditional blockchains achieve consensus through what amounts to a centralized mechanism (even though there are multiple “decentralized” copies of the blockchain that is produced). In both these cases, the rule successfully achieves “global consensus”. So what other cellular automaton rules achieve consensus like this?

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Computer Achievement Mathematics Physics 52

Stephen Wolfram

AUGUST 22, 2023

Ed was never officially a “test pilot”, but he told me stories about figuring out how to take his plane higher than anyone else—and achieving weightlessness by flying his plane in a perfect free-fall trajectory by maintaining an eraser floating in midair in front of him. Then McCarthy started to explain ways a computer could do algebra.

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Computer Physics Science Sciences 68

Stephen Wolfram

JANUARY 9, 2024

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.

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Computer Calculus Construction Accessibility 102

Stephen Wolfram

NOVEMBER 10, 2021

And—it should be said at the outset—we’re still only at the very beginning of nailing down those technical details and setting up the difficult mathematics and formalism they involve.) Mathematically this can be thought of as being like decomposing the ruliad structure in terms of fibrations and foliations.). The View from Mathematics.

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Physics Mathematics Computer Construction 122

Magic EdTech

MAY 13, 2022

Academic enrichment in mathematics instruction could be prompting students with open-ended questions that don’t have a single right solution. The curriculum for algebra classes, for example, will move at a faster and more efficient pace. How Can Academic Enrichment Boost Student Success? Enriched Knowledge.

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Curriculum Argumentation Algebra Personalized Learning 52

Stephen Wolfram

MAY 20, 2021

1”) releases that deliver our latest R&D achievements—both fully fleshed out, and partly as “coming attractions”—much more frequently. Particularly notable is significantly faster rendering on Windows platforms, achieved by using DirectWrite and making use of GPU capabilities. We released Version 12.2 on December 16, 2020.

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Computer Construction Physics Technology 52