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Turn the notebook into a walk-through of the method; render the math - #77
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The notebook had one explanatory paragraph per step. It now follows docs/theory.md with small experiments on face.mp4: the DTCWT sub-bands, phase against a sub-pixel shift per level (with the wrap-around limit), one coefficient's phase through the temporal filter, the filter's gain against frequency, the full magnification (rgb or yiq, width or band mode), before and after, and the displacement limit on a synthetic ring. Equations in docs/theory.md and the notebook are now LaTeX ($...$, $$...$$), which GitHub, Jupyter and Colab render. Thin spaces (\,) are avoided because GitHub's Markdown parser strips the backslash, and "<" is written as \lt because GitHub double-escapes it inside math. Closes #76
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Closes #76
Notebook
It now mirrors
docs/theory.md(20 cells, about 1,000 words of explanation, up from about 340), with runnable experiments on face.mp4:G(f)against band mode. It prints the 0.20–8.59 Hz band and the 0.1 Hz resolution.color_spaceandband_hz.Executed top to bottom with
jupyter nbconvert --executein a freshpython:3.12-slimcontainer with NumPy 2 preinstalled, as on Colab. There were no errors, all six figures rendered, andface_k3.aviwas written.Math rendering
docs/theory.mdand the notebook now use LaTeX ($...$,$$...$$) instead of plain-text formulas, so GitHub, Jupyter and Colab typeset them.POST /markdown): all 61 expressions intheory.mdand all 26 in the README come back as math, unchanged. The 4 other$...$matches in the README are shell code ($(id -u)) and correctly stay code.\,(thin space) loses its backslash, because Markdown treats it as an escape.<gets double-escaped inside math and would show as<, so it's written as\lt.README notebook description and CHANGELOG updated.