Futurum

FEBRUARY 23, 2023

batteries), the future power grid, electrification of transport, quantum computing, 5G-6G networks and robotics. Pathway from school to electrical engineering • Key subjects at secondary and high school level are mathematics and physics. Make sure you have a strong fundamental knowledge of mathematics and physics.

Energy 58

Energy Engineering Research Research 58

Futurum

NOVEMBER 10, 2022

Importantly, the applications for the intended outcomes of this project extend to fields as diverse as aerospace, healthcare, infrastructure and transport. Automatic control and systems engineering is a subject area that applies engineering mathematics and computing technology to solve scientific and engineering problems.

Engineering 78

Engineering Artificial Intelligence Robotics Physics 78

Stephen Wolfram

MAY 25, 2021

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.

Mathematics 53

Mathematics Physics Computer Algebra 53

Stephen Wolfram

JANUARY 31, 2023

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

Energy Physics Argumentation Mathematics 88

Stephen Wolfram

NOVEMBER 10, 2021

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.) For integers, the obvious notion of equivalence is numerical equality. For hypergraphs, it’s isomorphism. Experiencing the Ruliad.

Physics 122

Physics Mathematics Computer Construction 122

Stephen Wolfram

JUNE 28, 2023

They’re mathematically more complex, but each one we successfully cover makes a new collection of problems accessible to exact solution and reliable numerical and symbolic computation. It’s the end of a long journey, and a satisfying achievement in the quest to make as much mathematical knowledge as possible automatically computable.

Computer 118

Computer Calculus Construction Mathematics 118

Stephen Wolfram

MARCH 15, 2023

For about three centuries it seemed as if mathematical equations were the ultimate way to describe the natural world—but in the past few decades , and particularly poignantly with our recent Physics Project , it’s become clear that simple programs are in general a more powerful approach.) This equivalence has many consequences.

Computer 105

Computer Biology Mathematics Economics 105

Futurum

APRIL 19, 2023

A nanometre (nm) is a unit of measurement equal to a billionth of a metre, or 0.000001 mm. Evelyn’s lab develops advanced microscopy methods, combining microscopy with spectroscopy to study how small molecules are taken up and transported in materials at the molecular level. How small are things at the nanoscale?

Chemistry 52

Chemistry Biology Physics Research 52

Stephen Wolfram

FEBRUARY 3, 2023

How does one tie all this down with rigorous, mathematical-style proofs? Once one has the idea of “equilibrium”, one can then start to think of its properties as purely being functions of certain parameters—and this opens up all sorts of calculus-based mathematical opportunities. Well, it’s difficult.

Computer 92

Computer Energy Physics Construction 92

Stephen Wolfram

JUNE 8, 2022

Imagine that rather than playing a specific game, we instead at each step just make every possible move with equal probability. The setup for tic-tac-toe is symmetrical enough that for most of the game the probability of every possible configuration at a given step is equal. The Icosian Game & Some Relatives. &#10005.

Physics 71

Physics Computer Construction Equality 71

Stephen Wolfram

MAY 13, 2022

What about the foundations of mathematics? But that email was right before I discovered yet more kinds of computational systems to explore, and before I’d understood applications to biology, and physics, and mathematics, and so on. format of my Version 2.0 What about systems based on constraints? What about systems that adapt or learn?

Science 63

Science Sciences Computer Physics 63

Stephen Wolfram

DECEMBER 13, 2021

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.

Construction 67

Construction Computer Physics Accessibility 67