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fix doc rendering
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Readme.md

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[docs-stable-img]: https://img.shields.io/badge/docs-stable-blue.svg
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[docs-latest-img]: https://img.shields.io/badge/docs-latest-blue.svg
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[docs-stable-url]: https://juliaalgebra.github.io/TrigPolys.jl/dev/
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[docs-latest-url]: https://juliaalgebra.github.io/TrigPolys.jl/dev/
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[docs-stable-url]: https://juliaalgebra.github.io/TrigPolys.jl/stable
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[docs-latest-url]: https://juliaalgebra.github.io/TrigPolys.jl/dev
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[build-img]: https://github.com/JuliaAlgebra/TrigPolys.jl/actions/workflows/ci.yml/badge.svg?branch=master
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[build-img]: https://github.com/JuliaAlgebra/TrigPolys.jl/actions/workflows/CI.yml/badge.svg?branch=master
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[build-url]: https://github.com/JuliaAlgebra/TrigPolys.jl/actions?query=workflow%3ACI
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[codecov-img]: https://codecov.io/gh/JuliaAlgebra/TrigPolys.jl/branch/master/graph/badge.svg
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[codecov-url]: https://codecov.io/gh/JuliaAlgebra/TrigPolys.jl/branch/master

docs/src/index.md

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# TrigPolys
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[TrigPolys.jl](https://github.com/yuanchenyang/TrigPolys.jl) is a package for
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[TrigPolys.jl](https://github.com/JuliaAlgebra/TrigPolys.jl) is a package for
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fast manipulation of trigonometric polynomials.
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A *Hermitian trigonometric polynomial*
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can be viewed as a polynomial `R(z) \\in \\mathbb{C}[z]` [D17, (1.7)]:
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can be viewed as a polynomial ``R(z) \in \mathbb{C}[z]`` [D17, (1.7)]:
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```math
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R(z) = a_0 + \\frac{1}{2} \\sum_{k=1}^n a_k z^{-k} + a_k^* z^k
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R(z) = a_0 + \frac{1}{2} \sum_{k=1}^n a_k z^{-k} + a_k^* z^k
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```
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On the unit circle, this becomes [D17, (1.8)]:
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```math
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R(\\omega) = a_0 + \\sum_{k=1}^n a_{c,k} \\cos(k\\omega) + a_{s,k} \\sin(k\\omega)
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R(\omega) = a_0 + \sum_{k=1}^n a_{c,k} \cos(k\omega) + a_{s,k} \sin(k\omega)
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```
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where ``a_{c,k}`` is `ac[k]` and ``a_{s,k}`` is `as[k]`.
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