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

Futurum

When was the last time you looked at a computer, TV, phone or tablet? 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. COMBINING EXPERIMENTS AND MATHEMATICAL MODELS.

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

Stephen Wolfram

1 Mathematics and Physics Have the Same Foundations. 2 The Underlying Structure of Mathematics and Physics. 3 The Metamodeling of Axiomatic Mathematics. 4 Simple Examples with Mathematical Interpretations. 15 Axiom Systems of Present-Day Mathematics. 21 What Can Human Mathematics Be Like? Graphical Key.

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How can intelligent systems revolutionise healthcare?

Futurum

Dr Narges Armanfard from McGill University and Mila Quebec AI Institute in Montreal, Canada, has set up iSMART Lab to develop intelligent computer systems that can support medical professionals. Patient well-being Intelligent systems are innovative computer systems that can perceive and respond to the world around them.

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The Concept of the Ruliad

Stephen Wolfram

Think of it as the entangled limit of everything that is computationally possible: the result of following all possible computational rules in all possible ways. And it’s one that I think has extremely deep implications—both in science and beyond. (And—it The full ruliad is in effect a representation of all possible computations.

Physics 124
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How Did We Get Here? The Tangled History of the Second Law of Thermodynamics

Stephen Wolfram

Computational Foundations for the Second Law of Thermodynamics (forthcoming) 2. But by the end of the 1800s, with the existence of molecules increasingly firmly established, the Second Law began to often be treated as an almost-mathematically-proven necessary law of physics. This is part 3 in a 3-part series about the Second Law: 1.

Energy 90
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Imaging the invisible: how can research software and imaging techniques help scientists study the things we can’t see?

Futurum

Scientific model — a conceptual or mathematical representation of a real-world phenomenon that allows scientists to study the phenomenon in more detail. Software — a set of instructions, scripts or programmes that are used to operate computers and perform specific tasks. What is research computing? billion lightyears.

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A 50-Year Quest: My Personal Journey with the Second Law of Thermodynamics

Stephen Wolfram

Computational Foundations for the Second Law of Thermodynamics (forthcoming) 2. And I spent much of the summer of 1972 writing my own (unseen by anyone else for 30+ years) Concise Directory of Physics that included a rather stiff page about energy, mentioning entropy—along with the heat death of the universe. How Did We Get Here?

Physics 96