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| | almostsuremath.com
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| | The Rademacher distribution is probably the simplest nontrivial probability distribution that you can imagine. This is a discrete distribution taking only the two possible values $latex {\{1,-1\}}&fg=000000$, each occurring with equal probability. A random variable X has the Rademacher distribution if $latex \displaystyle {\mathbb P}(X=1)={\mathbb P}(X=-1)=1/2. &fg=000000$ A Randemacher sequence is an IID sequence of...
| | gcher.com
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| | This post will be my attempt to explain intuitively what is Quantum Field Theory. This idea came to me after reading two books: "QED: The Strange Theory of Light and Matter" by Richard Feynman, and "Quantum Field Theory in a Nutshell", by A. Zee (that I only started). Both books use path integrals, but in a very different way: Feynman tells us that the particles can move anywhere they want in space and time, while Zee uses conventional 'forward in time only' paths but of a 'mattress' and not just one par...
| | 4gravitons.com
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| | As I have mentioned before a theory in theoretical physics can be described as a list of quantum fields and the ways in which they interact. It turns out this is all you need to start drawing Feynman Diagrams. Feynman Diagrams are tools physicists use to calculate the probability of things happening: radioactive particles decaying,...
| | planetmath.org
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| [AI summary] This post defines the central binomial coefficient, provides alternative definitions and formulae, and outlines key properties and number theory theorems related to them.