computation   3712

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Maxims of Signal Processing
"1. Everything is equivalent to everything else, once you finally understand it.
2. If one technique is superior to another, it is due to a longer integration time (more averaging).
3. Exciting new results are usually due to artifacts in the processing.
4. With enough processing, it is no longer necessary to have any input data.
5. Scale factors are never right on the first try."
signalprocessing  dsp  ccrma  computation 
8 days ago by gohai
Prof. Engel’s Marvelously Improbable Machines |
When the path from a simple question to a simple answer leads you through swamps of computation, you can accept that some amount of tromping through swamps is unavoidable in math and in life, or you can think harder and try to find a different route. This is a story of someone who thought harder.

His name is Arthur Engel. Back in the 1970s this German mathematician was in Illinois, teaching probability theory and other topics to middle-school and high-school students. He taught kids in grades 7 and up how to answer questions like “If you roll a fair die, how long on average should you expect to wait until the die shows a three?” The questions are simple, and the answers also tend to be simple: whole numbers, or fractions with fairly small numerators and denominators. You can solve these problems using fraction arithmetic (in the simpler cases) or small systems of linear equations (for more complicated problems), and those are the methods that Engel taught his students up through the end of 1973.
mathematical-recreations  math  computation  to-write-about  see-also:exploding-dots 
9 days ago by Vaguery
If Quantum Computers are not Possible Why are Classical Computers Possible? | Combinatorics and more
As most of my readers know, I regard quantum computing as unrealistic. You can read more about it in my Notices AMS paper and its extended version (see also this post) and in the discussion of Puzzle 4 from my recent puzzles paper (see also this post). The amazing progress and huge investment in quantum computing (that I presented and update  routinely in this post) will put my analysis to test in the next few years.
tcstariat  mathtariat  org:bleg  nibble  tcs  cs  computation  quantum  volo-avolo  no-go  contrarianism  frontier  links  quantum-info  analogy  comparison  synthesis  hi-order-bits  speedometer  questions  signal-noise 
10 days ago by nhaliday

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