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Behind the screens: the crystals that flow like rain down a windowpane

Futurum

Mathematically, a sphere is the shape that minimises the surface area of a fixed volume, explaining why small water droplets on a flat surface take the shape of a spherical cap. JOSEPH’S MATHEMATICAL MODELS. Joseph builds mathematical models for the height of rivulets, based on mathematical equations. Applied Mathematics.

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The Concept of the Ruliad

Stephen Wolfram

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.

Physics 116
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How can we make STEM subjects more engaging for students?

Futurum

This usually means a university student who is in training to become a teacher Self-learning — an approach to learning where students teach themselves by following instructions and figuring out answers on their own STEM — subjects related to science, technology, engineering and mathematics When did you last make something in school?

STEM 81
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On the frontline of the biomedical revolution

Futurum

Looking forward Jin’s team is currently investigating the fine but critical details of cellular science. “My My team is trying to understand how cells function, how they metabolise, and how the organelles within cells work together and communicate with one another,” he says. “In I started my career as an experimental scientist. “I

Biology 98
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How Inevitable Is the Concept of Numbers?

Stephen Wolfram

Fast numbers-based ways to do particular computations are often viewed as representing “ exact solutions ” to corresponding mathematical problems. Still, there is in a sense one other kind of computational reducibility that we do know about, and that’s been very widely used in mathematical science: the phenomenon of continuity.

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Charting a Course for “Complexity”: Metamodeling, Ruliology and More

Stephen Wolfram

And at first I did so in the main scientific paradigm I knew : models based on mathematics and mathematical equations. From mathematics. Mathematical physics. By the late 1970s, though, there were other initiatives emerging, particularly coming from mathematics and mathematical physics. Synergetics.

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What Is ChatGPT Doing … and Why Does It Work?

Stephen Wolfram

Then we might make a mathematical guess, like that perhaps we should use a straight line as a model: We could pick different straight lines. It’s just something that’s mathematically simple, and we’re used to the fact that lots of data we measure turns out to be well fit by mathematically simple things.

Computer 145