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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. Pinterest.

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

Stephen Wolfram

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. There were still mathematical loose ends, as well as issues such as its application to living systems and to systems involving gravity.

Energy 88
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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. Scientists can now turn their theories into mathematical models, which can then be expressed in software as simulations. Chemistry with Dr Nicole Hondow and Stuart Micklethwaite.

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How we read: the neuroscience behind literacy

Futurum

The enthusiasm and energy that emerging scientists bring to research is a constant rejuvenation! “An There is a lot of ‘tradition’ with regards to ideas and approaches, which I feel can sometimes impede our ability to move science forward efficiently. An ongoing challenge for my field is trying to buck the status quo.

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

Stephen Wolfram

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. For a couple of months I didn’t look seriously at the book.

Physics 95