initialization - What is the right place for user-defined init.m?

What is the right folder to put a file init.m which will be run after all other init.m files applied by the various components of Mathematica have done their job?

I would like to use it to do something like

 AppendTo[$Path, *my favourite place*];
 Unprotect[Needs];
 Needs[x_] := Needs[x, ContextToFileName[x]]; 
 Protect[Needs]; 
 Needs["CleanSlate`"];
 SetOptions[FileNames, IgnoreCase->True];
 ClearAttributes[If, HoldAll]; SetAttributes[If, HoldRest];

 ClearAttributes[Switch,HoldAll]; SetAttributes[Switch, HoldRest];
 Unprotect[RGBColor]; 
 RGBColor[{x_, y_, z_}] := RGBColor[x, y, z]; 
 Protect[RGBColor];
 Unprotect[MantissaExponent]; 
 MantissaExponent[i_?IntegerQ] := MantissaExponent[1.*i]
 Protect[MantissaExponent];

... and other things which make my work go smoother.

Previously (in Version 4.0)

C:\Program Files\Wolfram Research\Mathematica\4.0\AddOns\Autoload\init.m

C:\Program Files\Wolfram Research\Mathematica\4.0\SystemFiles\FrontEnd\init.m

were the right places for this type of operations.

Comments

functions - Get leading series expansion term?

Given a function f[x] , I would like to have a function leadingSeries that returns just the leading term in the series around x=0 . For example: leadingSeries[(1/x + 2)/(4 + 1/x^2 + x)] x and leadingSeries[(1/x + 2 + (1 - 1/x^3)/4)/(4 + x)] -(1/(16 x^3)) Is there such a function in Mathematica? Or maybe one can implement it efficiently? EDIT I finally went with the following implementation, based on Carl Woll 's answer: lds[ex_,x_]:=( (ex/.x->(x+O[x]^2))/.SeriesData[U_,Z_,L_List,Mi_,Ma_,De_]:>SeriesData[U,Z,{L[[1]]},Mi,Mi+1,De]//Quiet//Normal) The advantage is, that this one also properly works with functions whose leading term is a constant: lds[Exp[x],x] 1 Answer Update 1 Updated to eliminate SeriesData and to not return additional terms Perhaps you could use: leadingSeries[expr_, x_] := Normal[expr /. x->(x+O[x]^2) /. a_List :> Take[a, 1]] Then for your examples: leadingSeries[(1/x + 2)/(4 + 1/x^2 + x), x] leadingSeries[Exp[x], x] leadingSeries[(1/x + 2 + (1 - 1/x...

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front end - keyboard shortcut to invoke Insert new matrix

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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