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| ## A few key sciences Medicine leads strongly much above even mathematics. WordFrequencyPlot[{"chemistry","geology","physics","mathematics","astronomy","biology", ... |
| Ah, understood. Thank you. Greetings. |
| Use `Reduce` when you want the conditions, `Solve` when you want the generic solution. |
| *Mathematica* **never** assumes that it can choose the branch of a multi-valued function to match your imagination. It always uses the principal branch, or at least tries to (for definite integration, it sometimes gets lost in the complex plane). If... |
| `Length` is a programming construct, not a part of symbolic math. `Solve` works on statements of symbolic math. *Mathematica's* symbolic math basically consists of: 1. Problems it can solve. 2. Transformation rules it tries to use to ... |
| Fantastic! Given that I am telling my students that phasors and the frequency domain are excellent for speeding things up, I love that it's complex exponentials that ended up solving this problem! |
| `Sign` is a programming construct, not an analytic function. However, you can define a generalized function with similar properties and differentiate that: sign[x_] := 2 HeavisideTheta[x] - 1 sign'[x] (* 2 DiracDelta[x] *) |
| `FullSimplify` understands how to reduce the root: FullSimplify[Sqrt[3 - 2 Sqrt[2]] (1 + Sqrt[2])] (* 1 *) However, it apparently starts down a different path and never tries this. Reduce the root first, and then simplify: ... |
| Thank you so much. The output is just what I need. I will try to understand what you have written. Thank you so much. Regards. Jaime. |
| Thank you Mikayel. It works. The only problem is that extracts exact integers, making calculations slow, but `N[]` fixes that. |