- I am new to Mathematica and would like to find the set $$\{ (x,y) \in \mathbb{R}^2: (3x+y\exp(xy))(x-a) + (6y + x \exp(xy))(y-b) < 0 \}$$ for some constants $a$ and $b$. How can I do this? Added: Is the set empty when a=-1.0643 and b=0.150?
- My actual question may be more difficult. For this function $f:\mathbb{R}^2 \to \mathbb{R}$, defined as $$ f(x,y) := (3x+y\exp(xy))(x-a) + (6y + x \exp(xy))(y-b) $$ I would like to know its range $f(\mathbb{R}^2)$, or better yet $f(\mathbb{R}^2 - \{(a,b)\})$, or as close as possible. Can it be done in Mathematica as well?
I frequently need to type in some matrices, and the menu command Insert > Table/Matrix > New... allows matrices with lines drawn between columns and rows, which is very helpful. I would like to make a keyboard shortcut for it, but cannot find the relevant frontend token command (4209405) for it. Since the FullForm[] and InputForm[] of matrices with lines drawn between rows and columns is the same as those without lines, it's hard to do this via 3rd party system-wide text expanders (e.g. autohotkey or atext on mac). How does one assign a keyboard shortcut for the menu item Insert > Table/Matrix > New... , preferably using only mathematica? Thanks! Answer In the MenuSetup.tr (for linux located in the $InstallationDirectory/SystemFiles/FrontEnd/TextResources/X/ directory), I changed the line MenuItem["&New...", "CreateGridBoxDialog"] to read MenuItem["&New...", "CreateGridBoxDialog", MenuKey["m", Modifiers-...
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