Recent content by Anko
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Graduate The Klein 4-group
I don't know about the simultaneous routing though. You still need an algorithm that sequentially determines the graph coloring before the connections are made, which is then possible simultaneously. Is that something that could be done in parallel? It wouldn't be as easy as the sequential approach.- Anko
- Post #10
- Forum: Linear and Abstract Algebra
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Graduate The Klein 4-group
But it isn't simple. Say you have 16 inputs and a request arrives at each one. In packet switching networks all packets have an address. So now you have to route 16 requests to 16 outputs and you can't assume they want a different output. Even if they did, can you route all 16 simultaneously?- Anko
- Post #8
- Forum: Linear and Abstract Algebra
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Graduate The Klein 4-group
The exercise didn't have much in the way of text. It was a course by a lecturer called Bob Hoskins (I may have misspelt that, sorry Bob), at year 4 and was about parallel processing models like PRAM etc. We were handed a diagram of a 16-input, 16-output Benes network and asked to write some...- Anko
- Post #4
- Forum: Linear and Abstract Algebra
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Undergrad How Does the Hopf Map Relate to Foliation and Knot Theory on the 3-Torus?
Does that paper answer my question, does the K1 foliate the 2-torus and the 3-torus, after embedding the knot?- Anko
- Post #8
- Forum: Topology and Analysis
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Undergrad How Does the Hopf Map Relate to Foliation and Knot Theory on the 3-Torus?
I've seen drawings illustrating the embedding of a circle into the interior of a torus. The 3-torus as far as I understand it, is just the set of interior points of the 2-torus. When you cut a torus open, you have to think about what the interior points are because now you want to deform the...- Anko
- Post #4
- Forum: Topology and Analysis
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Graduate The Klein 4-group
Hello. I'm going over some old uni notes, and I'm hoping to learn a bit more about categories and things like fibrations. But in 3rd year, we looked at the Klein 4-group. I know of two examples, one where I can have an additive V4 acting on pairs of two-way crossbar switches, in what I suppose...- Anko
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- Klein
- Replies: 10
- Forum: Linear and Abstract Algebra
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Undergrad How Does the Hopf Map Relate to Foliation and Knot Theory on the 3-Torus?
I'm trying to understand more about the Hopf map and, I think I can see that the torus knot K1 defines the boundary of a looped, twisted ribbon embedded in the interior, aka the Mobius strip. So slicing the torus open along the knot boundary means you have two halves of the torus linked...- Anko
- Thread
- Torus
- Replies: 8
- Forum: Topology and Analysis
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Undergrad Distribution of torsion in a steel guitar string
That's how a Wilberforce pendulum works. Momentum is transferred from the spring to the weight, then back again. -
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Undergrad Distribution of torsion in a steel guitar string
Some answers for the questions. It was a used guitar string, probably a 2nd. I was interested in how much I could stress the string by rotating it a lot. I was getting periods that were quite long, and up to perhaps 80 rotations initially, then seeing if the string would break. I did this... -
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Undergrad Distribution of torsion in a steel guitar string
I was at first surprised that I could rotate the weight as much as I managed, and how long the period was. All of which was eyes on, I didn't make any real record or even use a stopwatch. The other surprise was how the torsion was distributed along the string. I monitored this with small bits... -
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Undergrad Distribution of torsion in a steel guitar string
This isn't a question about torsion pendulums because it goes well beyond linear physics. The question is roughly, how many times can you rotate the end of a steel string, with the other end fixed, before it breaks? Also, how does the torsion distribute along the string? I tried to answer both... -
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Graduate What is the geometry of a gauge potential in the A-B experiment?
Here it is https://www.academia.edu/30921559/Fiber_Bundles_and_Quantum_Theory- Anko
- Post #3
- Forum: Quantum Physics
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Graduate What is the geometry of a gauge potential in the A-B experiment?
Hi, this is a question about an article in the Scientific American magazine. In 1981 Bernstein and Phillips wrote an article about fiber bundles and quantum fields, and I believe it's still a useful reference, the kind of thing lecturers would use at university. Anyway, my question is, how do...- Anko
- Thread
- Geometry
- Replies: 2
- Forum: Quantum Physics
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Undergrad Mass & Density: Unpacking Feynman's Idea
What do you think of the idea that mass is a number? This apparently derives from something Feynman said about energy. Apart from saying "nobody knows what energy is", he does go on to explain in the same lecture, what he knows about work energy. Is it more important to know how something is...- Anko
- Thread
- Density Mass
- Replies: 4
- Forum: High Energy, Nuclear, Particle Physics
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High School Length, Time, and Velocity -- Which are fundamental quantities?
I think what this thread might be about is the difference between knowing there are physical units, and being able to measure them. If there is a heat death of the universe, will temperatures be measurable even when they still exist? Will any measurement be possible of a background in which...- Anko
- Post #26
- Forum: Special and General Relativity