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Suppose I have a list of lists, i.e.

list = Table[{x, x^ k}, {k, 1, 10}, {x, 0, 1, 0.05}];


and I want to interpolate each of the lists by a function using Interpolation (or another appropriate function). Is there a way to create a function of k and x, i.e

Table[interpFunct[k] = Interpolation@list[[k]],{k,1,10}]


so I have interpFunct[1,x], interpFunct[2,x], etc. available?

I know I can interpolate the surface but the mesh is not structured, which leads to new difficultiesleads to new difficulties that have nothing to do with my needs.

Suppose I have a list of lists, i.e.

list = Table[{x, x^ k}, {k, 1, 10}, {x, 0, 1, 0.05}];


and I want to interpolate each of the lists by a function using Interpolation (or another appropriate function). Is there a way to create a function of k and x, i.e

Table[interpFunct[k] = Interpolation@list[[k]],{k,1,10}]


so I have interpFunct[1,x], interpFunct[2,x], etc. available?

I know I can interpolate the surface but the mesh is not structured, which leads to new difficulties that have nothing to do with my needs.

Suppose I have a list of lists, i.e.

list = Table[{x, x^ k}, {k, 1, 10}, {x, 0, 1, 0.05}];


and I want to interpolate each of the lists by a function using Interpolation (or another appropriate function). Is there a way to create a function of k and x, i.e

Table[interpFunct[k] = Interpolation@list[[k]],{k,1,10}]


so I have interpFunct[1,x], interpFunct[2,x], etc. available?

I know I can interpolate the surface but the mesh is not structured, which leads to new difficulties that have nothing to do with my needs.

1

# Doing an Interpolation through a list of lists into a single function

Suppose I have a list of lists, i.e.

list = Table[{x, x^ k}, {k, 1, 10}, {x, 0, 1, 0.05}];


and I want to interpolate each of the lists by a function using Interpolation (or another appropriate function). Is there a way to create a function of k and x, i.e

Table[interpFunct[k] = Interpolation@list[[k]],{k,1,10}]


so I have interpFunct[1,x], interpFunct[2,x], etc. available?

I know I can interpolate the surface but the mesh is not structured, which leads to new difficulties that have nothing to do with my needs.