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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.

Any advice will be very helpfull.

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.

Any advice will be very helpfull.

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.

Any advice will be very helpfull.

1
source | link

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.

Any advice will be very helpfull.