By his estimation, switching to open-source software in general, and Python in particular, brought greater integrity and accountability to his research. This was because all of the code could be shared and run b
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Is a function: “many to one“. This is saying if you have multiple x-values that map to one y-value — say, (2,9), (3,9) and (6,9) — then that still qualifies as a function. Put more simply, it’s okay for a function to have multiple coordinate points in a straight lin...
Computing an expression is executing a algorithm writter as a mathematicak expression: 3*5-2 means multiply 3 by 5, add 2 and tell us the results. The two things are wildly different, with different use cases, and very different complexity. ...
As each exchanged field belongs to a certain R-symmetry representation [n − m, 2m, n − m], we should multiply the exchange Witten diagrams by the corresponding R-symmetry polynomial Ynm. These polynomials were derived in [73], Ynm(α, α¯) = Pn(α)Pm(α¯) α − − ...
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This is almost certainly occurring because MATLAB is doing the math by first converting to log space so that it can just multiply the exponent by the log of the argument and then convert it back. This is similar to how computers and calculators commonly do complicated arithme...
The following is an extremely simplified summery of Whitehead & Russell's construction of cardinals, ratios and real numbers inPrincipia Mathematica.Keep in mind that the most important thing about PM is not about how this or that is constructed; it is the habit of mind that PM cultivates, ...
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