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To be more precise, we think of functions as continuum-vectors. Here is a simple example:
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```jldoctest
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julia> f = T * [1; 2; 3; zeros(∞)]; # T_0(x) + T_1(x) + T_2(x)
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julia> f[0.1]
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-1.74
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```
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To find the coefficients for a given function we consider this as the problem of finding $𝐜$
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such that $T*𝐜 == f$, that is:
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To find the coefficients for a given function we consider this as the problem of finding ``𝐜``
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such that ``T*𝐜 == f``, that is:
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```julia
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julia> T \ f
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vcat(3-element Vector{Float64}, ℵ₀-element FillArrays.Zeros{Float64, 1, Tuple{InfiniteArrays.OneToInf{Int64}}} with indices OneToInf()) with indices OneToInf():
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