2.7.3 Can you answer these questions?

2.7.3.1 Time complexity to choose the right overload from the memoized function
2.7.3.2 Diagonalisation of equations for NDSolve
2.7.3.3 TableDirections example produces an error message
2.7.3.1 Time complexity to choose the right overload from the memoized function

http://mathematica.stackexchange.com/questions/95399/time-complexity-to-choose-the-right-overload-from-the-memoized-function

 
If we want to save some outputs of the function, we often use the memoization pattern as follows, 
 
f[x_]:=f[x]=x 
f/@Range[10^5] 
 
 
If I call this function many times for different arguments,  ...
 
- asked by Sungmin 7votes
2.7.3.2 Diagonalisation of equations for NDSolve

http://mathematica.stackexchange.com/questions/95383/diagonalisation-of-equations-for-ndsolve

 
I have a linear matrix differential equation and I wish to speed up evaluation by diagonalising using eigenvectors. There is an example in Help for finite elements under "swinging beam" that is  ...
 
- asked by Hugh 2votes
2.7.3.3 TableDirections example produces an error message

http://mathematica.stackexchange.com/questions/95321/tabledirections-example-produces-an-error-message

 
Bug introduced in 10.0 and persisting through in 10.2 
 
 
 
Can anyone replicate this?  In Mathematica 10.2 on Win 64: 
 
TableForm[{{a, b}, {c, d}, {e, f}}, TableDirections -> Row] 
 
 
I get the  ...
 
- asked by Alan 9votes