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lines changed Original file line number Diff line number Diff line change 4545
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48- [ docs-stable-url ] : https://juliaalgebra.github.io/TrigPolys.jl/dev/
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48+ [ docs-stable-url ] : https://juliaalgebra.github.io/TrigPolys.jl/stable
49+ [ docs-latest-url ] : https://juliaalgebra.github.io/TrigPolys.jl/dev
5050
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Original file line number Diff line number Diff line change 11# TrigPolys
22
3- [ TrigPolys.jl] ( https://github.com/yuanchenyang /TrigPolys.jl ) is a package for
3+ [ TrigPolys.jl] ( https://github.com/JuliaAlgebra /TrigPolys.jl ) is a package for
44fast manipulation of trigonometric polynomials.
55
66A * Hermitian trigonometric polynomial*
7- can be viewed as a polynomial ` R(z) \\ in \\ mathbb{C}[z] ` [ D17, (1.7)] :
7+ can be viewed as a polynomial `` R(z) \in \mathbb{C}[z] ` ` [ D17, (1.7)] :
88``` math
9- R(z) = a_0 + \\ frac{1}{2} \ \sum_{k=1}^n a_k z^{-k} + a_k^* z^k
9+ R(z) = a_0 + \frac{1}{2} \sum_{k=1}^n a_k z^{-k} + a_k^* z^k
1010```
1111On the unit circle, this becomes [ D17, (1.8)] :
1212``` math
13- R(\\ omega) = a_0 + \\ sum_{k=1}^n a_{c,k} \\ cos(k\\ omega) + a_{s,k} \\ sin(k\ \omega)
13+ R(\omega) = a_0 + \sum_{k=1}^n a_{c,k} \cos(k\omega) + a_{s,k} \sin(k\omega)
1414```
1515where `` a_{c,k} `` is ` ac[k] ` and `` a_{s,k} `` is ` as[k] ` .
1616
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