I have a table (Vector), where each element is an interpolated function by Interpolation[].
A[t_]:=Table[Interpolation[list[i]],{i,1,n}]] Can I evaluate the vector A for fixed time?
I tried to define the vector A like above defined, and evaluated it by: A[0.1]
But the output is the list of interpolation, but not the value of functions at 0.1.
I tried to evaluated for fixed time the generic element of the A, and it seems work.
How can I solve it?
I would use Composition and Through. Using Jack's list of interpolation functions:
list = Table[{θ, Sin[n θ]}, {n, 1, 3}, {θ, 0, 2 π, 2 π/20}]; {f1, f2, f3} = Interpolation /@ list; Then, you can define A as:
A = Through @* {f1, f2, f3}; Check:
A[.1] //N {0.0999854, 0.203017, 0.32276}
Same result
You didn't provide list so I'll make a simple one.
list = Table[{θ, Sin[n θ]}, {n, 1, 3}, {θ, 0, 2 π, 2 π/20}]; ListLinePlot[list] 
Now make a table of interpolated function from list.
{f1, f2, f3} = Interpolation[#] & /@ list Define A[t] in terms of the functions
A[t_] := {f1[t], f2[t], f3[t]} A[0.1] // N (* {0.0999854, 0.203017, 0.32276} *) @plus91, change your solution a litle bit and it works
list = Table[{θ, Sin[n θ]}, {n, 1, 3}, {θ, 0, 2 π, 2 π/20}]; A[t_] = Table[Interpolation[list[[i]]][t], {i, 1, 3}] A[0.1] (* {0.0999854, 0.203017, 0.32276} *) 