For example, one should always ask: Is the order of magnitude plausible? Is the result plausible? Additionally, there are some simple tests you can do in Mathematica to check your results without a lot of effort. In more complex cases, more complex tests might be necessary. Also available ...
◼ N[expr] gives a machine‐precision number, so long as its magnitude is between $MinMachineNumber and $MaxMachineNumber. ◼ N[expr] is equivalent to N[expr, MachinePrecision]. ◼ N[0] gives the number 0. with machine precision. ◼ N converts all non‐zero numbers to Real or...
From this benchmark you can see that they perform about an order of magnitude slower than the DifferentialEquations.jl counterparts, but it also highlights the fact that the ARKODE methods failed (diverged) on most of the stiff benchmark problems when using the default parameters. There is a ...
choosing visualizations, working out import formats, and so on. Because automation is what makes it feasible to create a robust system of the magnitude and functionality of Wolfram|Alpha with manageable resources.
(And, yes, there are tricky issues about best guesses for phases when one only has magnitude information.)Natural Language ProcessingStarting with Wolfram|Alpha, we’ve had exceptionally strong natural language understanding (NLU) capabilities for a long time. And this means that giv...
This energy for the lead beam has been chosen to match the laboratory energy of the 16O beam of 104 MeV of [13] in order to allow Computation 2017, 5, 36 12 of 16 for a simple order of magnitude check. They both give a center of mass energy of ECM = 96.573 MeV. One can then...