Fourier and FFT: worked lessons

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Versions

Page app version: 0.27.0

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Build source: Unchecked
App version: Unchecked
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Built at: Unchecked

App and offline controls

Library

Direct dependencies: 23
Lockfile entries: 766
Package names: 725
Optional entries: 111

Dependencies (23)

Exact versions from this page's build lockfile. Roles and recommendations: audit of 2026-09-27 08:49 +07:00

@astrojs/react6.0.2
Requested: ^6.0.2
React integration
Audit recommendation: Retain while tools need it
@astrojs/sitemap3.7.3
Requested: ^3.7.3
Build-time sitemap
Audit recommendation: Keep
@astrojs/starlight0.41.7
Requested: ^0.41.7
Documentation shell
Audit recommendation: Keep
@monaco-editor/react4.7.0
Requested: ^4.7.0
Draft code editor
Audit recommendation: Evaluate a lighter editor
@tanstack/react-table8.21.3
Requested: ^8.21.3
Unreferenced table component
Audit recommendation: Native table candidate
@xyflow/react12.10.2
Requested: ^12.10.2
Unreferenced graph component
Audit recommendation: Removal candidate
astro7.2.2
Requested: ^7.2.2
Static-site framework
Audit recommendation: Keep
echarts6.0.0
Requested: ^6.0.0
Reference graph
Audit recommendation: Keep; load on demand
echarts-for-react3.0.6
Requested: ^3.0.6
No consumer found
Audit recommendation: Removal candidate
html-to-image1.11.13
Requested: 1.11.13
katex0.18.9
Requested: 0.18.9
markmap-lib0.18.12
Requested: 0.18.12
markmap-view0.18.12
Requested: 0.18.12
mermaid11.14.0
Requested: ^11.14.0
No renderer integration found
Audit recommendation: Decide its authoring role
pyodide314.0.7
Requested: 314.0.7
react18.3.1
Requested: ^18.3.1
Draft playground editor
Audit recommendation: Isolate optional tooling
react-dom18.3.1
Requested: ^18.3.1
Editor hydration
Audit recommendation: Isolate optional tooling
remark-definition-list2.0.0
Requested: 2.0.0
remark-math6.0.0
Requested: 6.0.0
sharp0.34.5
Requested: ^0.34.5
Build-time image processing
Audit recommendation: Keep
vega-embed7.3.0
Requested: 7.3.0
yaml2.9.1
Requested: 2.9.1
zod3.25.76
Requested: 3.25.76
Unused direct pin; separate framework copies
Audit recommendation: Removal candidate

Other included components

Audit snapshot: 2026-09-27 08:49 +07:00

Pagefind
1.5.2
Search UI, index and WASM
Expressive Code / Shiki
0.44.1 / 4.4.3
Mostly build-time highlighting
MDX
7.0.5
Content compilation
unified / remark-parse / remark-mdx
11.0.5 / 11.0.0 / 3.1.1
Build-time parsing
zrender
6.0.0
Graph renderer
MathJax
3.2.2
Embedded in video analysis
Google Fonts
External font styles and files
Reader tools / Fourier labs
Custom TypeScript and CSS
Service worker
Native project implementation; no Workbox
Images / icons / flags
Bundled assets and some external images

Downloads

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Build source: Unchecked
Automatic shell: Unchecked
Offline pack: Unchecked
Pack files: Unchecked
Directory pages: Unchecked

Uncompressed file totals, not transferred bytes or storage used on this device

App and offline controls

Page download links

No file download links on this page

Performance audit snapshot

2026-09-27 08:49 +07:00

Frozen local build c72bb3130817a58b8813. These are historical measurements, not this page's live usage

Entire output
Raw
14.41 MiB
Deployment size, not one visit
Automatic offline shell
Raw
1.63 MiB
45 responses; included every /_astro/ asset
Optional offline pack
Raw
13.90 MiB
129 files; 25 directory pages
FFT HTML
Raw
2.40 MiB
Gzip
253.39 KiB
18,167 DOM elements
Video-analysis HTML
Raw
2.52 MiB
Gzip
760.39 KiB
33,121 DOM elements
Embedded MathJax
Raw
2.17 MiB
Inside the video-analysis HTML; not an additional file
Graph engine
Raw
454.69 KiB
Gzip
151.54 KiB
Deferred execution; automatically precached
React client
Raw
131.39 KiB
Gzip
42.20 KiB
Draft-tool chunk in the automatic shell
PWA icon (512px)
Raw
357.92 KiB
Keep dimensions when optimizing
Two atlas PNGs
Raw
805.64 KiB
Alternate SVGs: 383,826 bytes; both formats in the pack

Browser downloads (7 scenarios)

Local gzip response bodies; excludes headers and external font bodies. Fresh Chromium 151, 1440 x 1000, no throttling, two seconds after load

Homepage, worker blocked
132.2 KiB
13 requests; 384 DOM elements
Homepage, automatic PWA install
1,060.6 KiB
58 requests; 384 DOM elements
C++ reference, worker blocked
215.9 KiB
27 requests; 2,294 DOM elements
FFT, worker blocked
446.5 KiB
27 requests; 18,167 DOM elements
Worked foundations, worker blocked
240.2 KiB
29 requests; 3,785 DOM elements
Laboratory, worker blocked
245.0 KiB
30 requests; 3,529 DOM elements
Standalone video analysis
770.0 KiB
2 requests; 33,121 DOM elements

Automatic PWA installation added 928.4 KiB compressed. FFT long tasks: 792 ms; video analysis: 487 ms. Single-run diagnostics, not mobile benchmarks

Statistics

Waiting for measurements

Size overview

Total HTML data: Unavailable
Total DOM elements: Unavailable

Loading selected content...

Cell	Full width	Full height	Content width × height	Padding X / Y	Borders X / Y
TOP-LEFT
TOP-CENTER
TOP-RIGHT
NAV-LEFT
NAV-CENTER
NAV-RIGHT
MID-LEFT
MID-CENTER
MID-RIGHT
BOT-LEFT
BOT-CENTER
BOT-RIGHT

Workspaces

Reading record

Shared across workspaces

Reading activity

Reading heatmap

Preset

App & offline

Offline reading

Updates

Element data and performance

Time

Counters

FPS

Widget usage

Page download links

Experiment

Inspection

Worked answer

Reader layout

Left column

Current size Read only

Theme settings

Font settings

Keybinds

Reader