Your question is not so much about Plot as it is about how the scoping constructs work. The main confusion here is due to the differences between lexical and dynamic scoping. And the main culprit is this definition: f[x_] := (vmax x)/(km + x) The problem with it is that it makes f implicitly depend … Read more
I don’t think there is any way to have attributes apply to the later parts of such an “upvalue” pattern definition. One alternative is to use pure functions with attributes. Not as convenient as pattern matching, but when you evaluate f[2+2][8/4], it actually gives a result Curry would have liked. (“Function” is Mathematica’s “lambda”, if … Read more
I can suggest the following Ticks hack: pl = Plot[Sin[x], {x, 0, 10}]; Reap[Rasterize[Show[pl, Ticks -> {Sow[{##}] &, Sow[{##}] &}, ImageSize -> 0], ImageResolution -> 1]][[2, 1]] => {{-0.208333, 10.2083}, {-1.04167, 1.04167}} The trick is that real PlotRange is determined by the FrontEnd, not by the Kernel. So we must force the FrontEnd to render … Read more
Here is a nice article. Also, FROM HERE (unchecked) Question: How do I modify the front end to add new keyboard shortcuts? Answer: (mathgroup May 2005, trevor baca:) I’ve been mucking around in KeyEventTranslations.tr setting up keyboard shortcuts recently and i’ve learned that front end tokens are pretty cool. this wolfram page gives pretty good … Read more
I think your code is not so memory hungry as you might expect. It does break and reform lists, but it tends to keep most sublists intact. As others remarked, it might be possible to do better still using Hold wrappers and/or HoldXXX attributes, so as to emulate call-by-reference. For a hard core approach to … Read more
Here is a simple/basic way to do the first one: Graphics[{ (* The dashed circle segment *) { Dashing[{.04, .01}], Darker[Orange], AbsoluteThickness[2], Circle[{0, 0}, 1, {1, 2 \[Pi]}] }, (* The solid circle segment *) { Orange, AbsoluteThickness[2], Circle[{0, 0}, 1, {0, 1}] }, (* The radial lines and the small circle segment *) Line[{{0, … Read more
Short answer: default plotting accuracy is not sufficient for that function, so increase it as follows Plot[Sin[x], {x, -42 Pi, 42 Pi}, PlotPoints -> 100] Long answer: Plot works by evaluating the function at a finite set of points, and connecting those points by straight lines. You can see the points used by Plot using … Read more
In Mathematica, most of what you do is based on expressions. Expressions naturally have the tree structure. For depth-first traversals (which are probably most common), you can then use functions like Scan,Map, Cases etc. The difference w.r.t the more traditional languages is that there is no simple way to preserve the identity of individual node … Read more
I use Mathematica to take lecture notes in real time without any major issues (while the proud TeX guys struggle hard to keep up 🙂 ). I have also used it for most math-related homework/assignments I wrote during past two and half years on university. Before you start, you may want to look at some … Read more
Mathematica evaluates expression once, then returns the expression unevaluated [closed]