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Quantum computers rely on the bizarre properties of atoms and the other construction blocks of the universe. The world is a fuzzy place at its very smallest levels — in this realm where quantum physics dominates, things can seemingly exist in two places at once or spin in opposite directions at the same time.
The new computers rely on “boson” particles, and resemble quantum computers, which differ from traditional computers in important ways. Normal computers represent data as ones and zeroes, binary digits known as bits that are expressed by flicking switch-like transistors on or off. Quantum computers, however, use quantum bits, or qubits (pronouced “cue-bits”), that can be on and off at the same time, a state known as “superposition.”
This allows the machines to carry out two calculations simultaneously. Quantum physics permits such behavior because it allows for particles that can exist in two places at once or spin in opposite directions at the same time.
(via New Computer Bridges Classical and Quantum Computing)
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Proof Without Words: Cubes and Squares, by J. Barry Love. Originally appeared as: Love, J. Barry, Proof Without Words: Cubes and Squares, Mathematics Magazine, vol. 50, no. 2 (March 1977), p. 74
/ Fermat’s Library /
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sinCos
just doodling around (code)
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Alien in excel #parametricequation #mathart #excelart #excelmathart
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Uncredited Photographer Theoretical Physicists Murray Gell-Mann and Richard Feynman 1959
“…will you understand what I’m going to tell you? …No, you’re not going to be able to understand it. …I don’t understand it. Nobody does…. The scale of light can be described by numbers—called the frequency—and as the numbers get higher, the light goes from red to blue to ultraviolet. We can’t see ultraviolet light, but it can affect photographic plates. It’s still light… Light is something like raindrops—each little lump of light is called a photon—and if the light is all one color, all the ‘raindrops’ are the same color… Every instrument that has been designed to be sensitive enough to detect weak light has always ended up discovering that the same thing: light is made of particles…” Richard Feynman, “QED : The Strange Theory of Light and Matter” 1985
“Just because things get a little dingy at the subatomic level doesn’t mean all bets are off.” Murray Gell-Mann
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#mathart #Excelart #excelmathart
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Roger Penrose: Quasicrystals. Spacetime.
Quasicrystal patterns: The discovery of these types of patterns changes fundamentaly the science of crystalography, by showing an infinite number of atom structures.
Representation of singularity and black holes: There are cases when this diagram helps in the visual representation of black holes or showing possible coordinates of wormholes
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Lee Smolin, The Emergence of Space, in Time Reborn. From the Crisis in Physics to the Future of the Universe, Houghton Mifflin Harcourt, Boston – New York, 2013, pp. 172-192 (pt. 2) (pt. 1 here)
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sin shapes
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Fibonacci Sculptures - Part II
These are 3-D printed sculptures designed to animate when spun under a strobe light. The placement of the appendages is determined by the same method nature uses in pinecones and sunflowers. The rotation speed is synchronized to the strobe so that one flash occurs every time the sculpture turns 137.5º—the golden angle. If you count the number of spirals on any of these sculptures you will find that they are always Fibonacci numbers.
© John Edmark
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Has Physics Made Philosophy and Religion Obsolete?
You were recently quoted as saying that philosophy “hasn’t progressed in two thousand years.” But computer science, particularly research into artificial intelligence was to a large degree built on foundational work done by philosophers in logic and other formal languages. And certainly philosophers like John Rawls have been immensely influential in fields like political science and public policy. Do you view those as legitimate achievements?
Krauss: Well, yeah, I mean, look I was being provocative, as I tend to do every now and then in order to get people’s attention. There are areas of philosophy that are important, but I think of them as being subsumed by other fields. In the case of descriptive philosophy you have literature or logic, which in my view is really mathematics. Formal logic is mathematics, and there are philosophers like Wittgenstein that are very mathematical, but what they’re really doing is mathematics—-it’s not talking about things that have affected computer science, it’s mathematical logic. And again, I think of the interesting work in philosophy as being subsumed by other disciplines like history, literature, and to some extent political science insofar as ethics can be said to fall under that heading. To me what philosophy does best is reflect on knowledge that’s generated in other areas.
I’m not sure that’s right. I think that in some cases philosophy actually generates new fields. Computer science is a perfect example. Certainly philosophical work in logic can be said to have been subsumed by computer science, but subsumed might be the wrong word—-
Krauss: Well, you name me the philosophers that did key work for computer science; I think of John Von Neumann and other mathematicians, and—-
But Bertrand Russell paved the way for Von Neumann.
Krauss: But Bertrand Russell was a mathematician. I mean, he was a philosopher too and he was interested in the philosophical foundations of mathematics, but by the way, when he wrote about the philosophical foundations of mathematics, what did he do? He got it wrong.
Read the rest of the interview.
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OK Go’s new mind-bending music video is the only thing you need to see today
Follow policymic
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asymmetrical guilloche patterns creating art #mathart #excelart #excelmathart #pattern #guilloche #geometry #trigonometry https://t.co/XtinD2ZW14
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And then… You disappeared
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