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What can stars reveal about galaxies and what can cultures reveal about stars?

Futurum

PROFESSOR RAJA GUHATHAKURTA Professor of Astronomy and Astrophysics University of California Santa Cruz, USA. . FUNDERS US National Science Foundation (NSF), NASA/Space Telescope Science Institute, Google Engineering Education, Amazon Web Services, Hopper-Dean Foundation, Viram Foundation, ARCS Foundation. Download the article.

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The Story Continues: Announcing Version 14 of Wolfram Language and Mathematica

Stephen Wolfram

And we’ve been steadily doing the engineering to let AIs call on Wolfram Language as easily as possible. The function Map takes a function f and “maps it” over a list: Comap does the “mathematically co-” version of this, taking a list of functions and “comapping” them onto a single argument: Why is this useful? Ever since Version 1.0

Computer 105
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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 90
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Examining the extremely small

Futurum

Nanoscience has applications in all fields of science: physicists can determine the structure of atoms, biologists can observe the structure of molecules, materials scientists can control the properties of new materials and computer engineers can develop faster electronics. The team can control the design of MOFs to enter cells.

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Launching Version 13.1 of Wolfram Language & Mathematica ??????

Stephen Wolfram

Now “characters” could be 16-bit constructs, with nearly 65536 possible “glyphs” allocated across different languages and uses (including some mathematical symbols that we introduced). And in addition to adding a great deal of flexibility, this also means that the toolbar immediately works on all platforms. (By Also in Version 13.1

Calculus 116
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Launching Version 13.0 of Wolfram Language + Mathematica

Stephen Wolfram

the same integral could still be done, but only in terms of elliptic integrals : Mathematical Functions: A Milestone Is Reached. Special functions are in a sense a way of packaging mathematical knowledge : once you know that the solution to your equation is a Lamé function , that immediately tells you lots of mathematical things about it.

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Launching Version 12.3 of Wolfram Language & Mathematica

Stephen Wolfram

of Wolfram Language and Mathematica we mean desktop , cloud and engine : all three versions are being released today. has a very flexible way of representing its results, that allows for different numbers of variables, different numbers of solutions, etc. &#10005. that we are delivering today. Lots of Little New Conveniences.