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Add code examples (#2)
* add dangling code example * add code example section
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‎_quarto.yml‎

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navbar:
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logo: "assets/images/turing-logo.svg"
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logo-href: https://turinglang.org/
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#background: "#073c44"
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#foreground: "#ffffff"
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left:
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- text: Get Started
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href: https://turinglang.org/docs/getting-started/
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theme:
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light: [cosmo, theming/light.scss]
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dark: [cosmo, theming/dark.scss]
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highlight-style: github
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toc: true
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smooth-scroll: true
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code-overflow: wrap

‎index.qmd‎

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Turing.jl is a probabilistic programming language and Bayesian modelling framework for the Julia programming language.
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---
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<div class="d-flex flex-column align-items-center gap-0" style="padding:7rem 0;">
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<image src="assets/images/turing-logo.svg" width="150px" alt="Three normal probability distributions">
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<span style="font-size:4rem;font-weight:700;">Turing.jl</span>
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<span style="font-size:2rem;padding-bottom:1.25rem;">Bayesian inference with probabilistic programming</span>
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<div class="d-flex flex-row gap-2">
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[Get Started](https://turinglang.org/docs/tutorials/docs-00-getting-started/){.button--fill .btn}
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<!-- The empty line above makes quarto accept the div class -->
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[API reference](/library/){.button .btn}
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</div>
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</div>
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<div class="d-flex flex-row flex-wrap justify-content-center gap-3 pb-5">
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<div class="card">
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<div class="card-title">Intuitive</div>
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Turing models are easy to write and communicate — syntax is close to mathematical notations.
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```{=html}
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<div class="content-panel">
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<div class="d-flex flex-column align-items-center gap-0" style="padding:6rem 0;">
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<image src="assets/images/turing-logo.svg" width="150px" alt="Three normal probability distributions">
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<span style="font-size:4rem;font-weight:700;">
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Turing.jl
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</span>
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<span class="display-6 d-block text-center pb-4 display-md-5 display-lg-4">
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Bayesian inference with probabilistic programming
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</span>
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<div class="d-flex flex-row flex-wrap justify-content-center gap-2">
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<a href="https://turinglang.org/docs/tutorials/docs-00-getting-started/" class="button--fill btn">
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Tutorials
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</a>
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<a href="/library" class="button btn">
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Ecosystem
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</a>
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<a href="https://github.com/TuringLang" class="button btn">
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View on GitHub
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</a>
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</div>
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</div>
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<div class="card">
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<div class="card-title">General-purpose</div>
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Turing supports models with discrete parameters and stochastic control flow.
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<div class="d-flex flex-row flex-wrap justify-content-center gap-3" style="padding-bottom:6rem;">
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<div class="card">
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<div class="card-title">
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Intuitive
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</div>
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Turing models are easy to write and communicate — syntax is close to mathematical notations.
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</div>
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<div class="card">
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<div class="card-title">
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General-purpose
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</div>
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Turing supports models with discrete parameters and stochastic control flow.
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</div>
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<div class="card">
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<div class="card-title">
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Modular & composable
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</div>
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Turing is modular, written entirely in Julia, and is interoperable with the powerful Julia ecosystem.
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</div>
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</div>
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<div class="card">
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<div class="card-title">Modular & composable</div>
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Turing is modular, written entirely in Julia, and is interoperable with the powerful Julia ecosystem.
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</div>
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```
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<div class="content-panel">
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<div class="d-flex flex-row flex-wrap justify-content-center gap-3">
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<div style="min-width:420px; max-width:420px;text-align:right;padding:0.5rem;">
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<div style="font-size:x-large;font-weight:700;padding-bottom:0.5rem;">
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Hello, World in Turing
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</div>
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Some text about how easy it is to [get going](https://turinglang.org/docs/tutorials/00-introduction/).
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</div>
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<div style="min-width:500px;">
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```julia
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@model function coinflip(; N::Int)
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# Prior belief about the probability of heads
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p ~ Beta(1, 1)
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# Heads or tails of a coin are drawn from `N`
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# Bernoulli distributions with success rate `p`
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y ~ filldist(Bernoulli(p), N)
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return y
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end;
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```
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</div>
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</div>
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<div class="d-flex flex-row flex-wrap justify-content-center gap-3">
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<div style="min-width:500px;">
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```julia
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@model function putting_model(d, n; jitter=1e-4)
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v ~ Gamma(2, 1)
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l ~ Gamma(4, 1)
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f = GP(v * with_lengthscale(SEKernel(), l))
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f_latent ~ f(d, jitter)
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binomials = Binomial.(n, logistic.(f_latent))
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y ~ product_distribution(binomials)
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return (fx=f(d, jitter), f_latent=f_latent, y=y)
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end
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```
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</div>
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<div style="min-width:420px; max-width:420px;padding:0.5rem;">
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<div style="font-size:x-large;font-weight:700;padding-bottom:0.5rem;">
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Goodbye, World in Turing
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</div>
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Some text about how easy it is to interface with external packages like AbstractGPs. Learn more about modelling [Gaussian Processes](https://turinglang.org/docs/tutorials/15-gaussian-processes/) with Turing.jl.
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</div>
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</div>
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</div>
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<!--
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::: {.hero-banner}

‎theming/dark.scss‎

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/*-- scss:rules --*/
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@import "rules/layouts";
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@import "rules/cards";
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@import "rules/buttons";
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@import "rules/navbar";
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@import "rules/sourceCode";
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//

‎theming/light.scss‎

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/*-- scss:rules --*/
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@import "rules/layouts";
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@import "rules/cards";
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@import "rules/buttons";
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@import "rules/navbar";
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@import "rules/sourceCode";
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‎theming/rules/_buttons.scss‎

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border: solid $color-secondary 1px;
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&:hover {
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background-color: lighten($color-secondary, 10%) !important;
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border-color: lighten($color-secondary, 10%) !important;
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background-color: $color-highlight !important;
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border-color: $color-highlight !important;
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}
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}
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}

‎theming/rules/_cards.scss‎

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.card-title {
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color: $color-fg !important;
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margin-bottom: 0.5rem !important;
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font-size: x-large;
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font-weight: 700;
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}
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&--nopad {
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@extend .card;
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padding: 0rem;
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}
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}

‎theming/rules/_layouts.scss‎

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.content-panel {
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padding: 1.5rem;
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}

‎theming/rules/_navbar.scss‎

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.navbar {
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background-color: $body-bg;
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color: $text-muted;
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a:hover {
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text-decoration: none;
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}
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}

‎theming/rules/_sourceCode.scss‎

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.sourceCode {
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background-color: $color-mute-bg !important;
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border-color: $color-mute-bg !important;
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border-radius: $border-radius-sm !important;
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pre {
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padding: 0.5rem !important;
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}
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}

‎theming/variables/_colorsdark.scss‎

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$black: #000000 !default;
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$dark-green: #073c44;
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$thistle: #E7CEED;
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$light-orange: darken(#FEEEEB, 5%); // the actual KI color is a little light for many potential use cases
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$light-blue: darken(#EDF4F4, 5%);
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$logo-plum: #870052;
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$medium-grey: #CCD1D5;
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$color-primary: $thistle;
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$color-primary: red; // ??? Nope
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$color-secondary: $dark-green;
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$color-highlight: lighten($dark-green, 10%);
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$color-highlight: lighten($color-secondary, 10%);
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$color-mute-bg: $gray-800;
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$quarto-category-hover-background-color: darken($light-bg, 5%);
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$quarto-category-hover-border-color: lighten($light-bg, 50%);
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$quarto-category-highlight: $color-fg;
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$link-color: lighten($dark-green, 15%);

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