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research: Mathematica Notebooks deep dive; SHARD-WP-0004 T2
Original computational notebook (.nb = a Wolfram expression); confirms UC-84 notebook page shape is a genus. Refinements: nestable cell groups (outline tree), structured re-evaluable outputs (new opacity point). Manipulate/Dynamic = snapshot-only. Enrichment-only (UC-84/54/55). Marks T2 done. Co-Authored-By: Claude Opus 4.8 <noreply@anthropic.com>
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# 260614 — Mathematica Notebooks deep dive
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Date: 2026-06-14 · Source: **SHARD-WP-0004 T2**
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## What this is
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A deep dive into **Wolfram Mathematica Notebooks** — the **original computational notebook**
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(1988), the ancestor Jupyter descends from. The `.nb` document **is itself a Wolfram Language
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expression** (`Notebook[{Cell[…], …}]`) with **nested cell groups**, kernel evaluation
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(`In`/`Out`), **structured (symbolic/graphics) results**, live `Manipulate`/`Dynamic`
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widgets, and CDF as a reduced-runtime distribution projection.
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## Why it matters
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- Confirms the **notebook page shape (UC-84) is a genus**, not a Jupyter quirk: cells +
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cached outputs + fragile counter provenance + kernel-gated re-execution predate `.ipynb`.
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- Two refinements: notebooks have **nestable cell groups (an outline tree)**, not just an
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ordered list; outputs can be **structured re-evaluable values**, not only MIME blobs →
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adds a "structured re-evaluable value" point to the content-opacity spectrum.
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- `Manipulate`/`Dynamic` join the **static-projection-impossible** end (snapshot-only) —
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foreshadows Strudel (T5).
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## Yield
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- **No new UC** (lineage/reinforcement). Reinforces **UC-84**; enriches **UC-54, UC-55**;
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links UC-34, UC-83.
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## Contents
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| Path | Role |
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|------|------|
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| `findings.md` | `.nb` expression/cell model, evaluation & provenance, CDF, capability delta vs Jupyter, INTENT mapping, UC disposition (enrichment-only), architecture notes |
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