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chore: 🤖 setup latex support #7

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chore: 🤖 setup latex support #7

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000a9ac
chore: 🤖 amends and rename bloom and cucko
heldrida Jan 18, 2023
436017f
chore: 🤖 move truncate
heldrida Jan 18, 2023
c41e913
chore: 🤖 math form asset
heldrida Jan 18, 2023
e266c12
chore: 🤖 initial TIAS latex setup
heldrida Jan 18, 2023
be5bbeb
chore: 🤖 move stylesheets for latex
heldrida Jan 18, 2023
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Binary file added blog/assets/bloom-cuckoo/math-formul.png
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9 changes: 7 additions & 2 deletions blog/bloom-and-cuckoo-filters-for-cache-summarization.md
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Original file line number Diff line number Diff line change
Expand Up @@ -60,8 +60,13 @@ Of course, we could store this hash somewhere, but the whole point of using fing
The solution to this predicament is the aforementioned _partial-key cuckoo hashing_, a technique for determining an element's alternate location using only its fingerprint.
For a given element $x$, the two candidate buckets are computed as follows:

$h_1(x) = \text{hash}(x)$<br/>
$h_2(x) = h_1(x) \oplus \text{hash}(\text{fingerprint}(x))$

<!-- TODO: verify setup https://docusaurus.io/docs/markdown-features/math-equations -->
$h_1(x) = \text{hash}(x)$

$h_2(x) = h_1(x) \oplus \text{hash}(\text{fingerprint}(x))$

<!-- ![](./assets/bloom-cuckoo/math-formul.png?202301181528) -->

An important property of this technique is that $h_1(x)$ can also be computed from $h_2(x)$ and the fingerprint.

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14 changes: 14 additions & 0 deletions docusaurus.config.js
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Expand Up @@ -3,6 +3,8 @@

// const lightCodeTheme = require('prism-react-renderer/themes/github');
const darkCodeTheme = require('prism-react-renderer/themes/dracula');
const math = require('remark-math');
const katex = require('rehype-katex');

const commonDocsOptions = {
breadcrumbs: false,
Expand Down Expand Up @@ -76,6 +78,8 @@ const config = {
routeBasePath: '/docs',
breadcrumbs: true,
sidebarPath: require.resolve('./sidebars.js'),
remarkPlugins: [math],
rehypePlugins: [katex],
},
blog: {
path: 'blog',
Expand All @@ -97,6 +101,16 @@ const config = {
],
],

stylesheets: [
{
href: 'https://cdn.jsdelivr.net/npm/[email protected]/dist/katex.min.css',
type: 'text/css',
integrity:
'sha384-odtC+0UGzzFL/6PNoE8rX/SPcQDXBJ+uRepguP4QkPCm2LBxH3FA3y+fKSiJ+AmM',
crossorigin: 'anonymous',
},
],

themeConfig:
/** @type {import('@docusaurus/preset-classic').ThemeConfig} */
({
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5 changes: 4 additions & 1 deletion package.json
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Expand Up @@ -21,9 +21,12 @@
"@docusaurus/preset-classic": "2.1.0",
"@mdx-js/react": "^1.6.22",
"clsx": "^1.2.1",
"hast-util-is-element": "1.1.0",
"prism-react-renderer": "^1.3.5",
"react": "^17.0.2",
"react-dom": "^17.0.2"
"react-dom": "^17.0.2",
"rehype-katex": "5",
"remark-math": "3"
},
"devDependencies": {
"@docusaurus/module-type-aliases": "2.1.0",
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