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Shh! Simple Way to Understand How to be The Best Math Manipulatives Online (2023)

STEM Education Shopping

Virtual blocks also provide a safe and mess-free alternative to traditional physical blocks. This helps you develop a deeper understanding of concepts such as greater than, less than, and equal to. Instead of just seeing numbers on a page, you can physically see and touch the bars, which helps to reinforce the concept of fractions.

Math 52
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How Inevitable Is the Concept of Numbers?

Stephen Wolfram

The history of physics might make one think that numbers would be a necessary part of the structure of any fundamental theory of our physical universe. But the models of physics suggested by our Physics Project have no intrinsic reference to numbers. We discussed above the example of fundamental physics.

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The Concept of the Ruliad

Stephen Wolfram

It’s yet another surprising construct that’s arisen from our Physics Project. In the language of our Physics Project, it’s the ultimate limit of all rulial multiway systems. And here is a rulial multiway system made from hypergraph rewriting of the kind used in our Physics Project , using all rules with signature : &#10005.

Physics 122
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LLM Tech and a Lot More: Version 13.3 of Wolfram Language and Mathematica

Stephen Wolfram

Even back in Version 1.0 , when the documentation was a physical book, there were “See Also’s” between functions: And by now there’s a complicated network of such See Also’s: But that’s just the network of how functions point to functions. But what if we ask a question where the answer is some algebraic expression? And in Version 13.3

Computer 118
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Launching Version 13.0 of Wolfram Language + Mathematica

Stephen Wolfram

Any integral of an algebraic function can in principle be done in terms of our general DifferentialRoot objects. Turning from calculus to algebra, we’ve added the function PolynomialSumOfSquaresList that provides a kind of “certificate of positivity” for a multivariate polynomial. And a third of a century later—in Version 13.0—we’re