forked from EduCraft/curriculum-project-hub
feat(cph): implement nested outline manifest and batch/combined export
ADR-0029 — nested outline manifest, supersedes ADR-0008's flat [[parts]]:
- cph-model: recursive loader over manifest.toml containers / element.toml
leaves; Lesson.parts (pure elements, DFS order) + Lesson.outline (elements
interleaved with section headings at their DFS-open position); rejects
ambiguous/incomplete folders and root-vs-container table misplacement
- cph-diag: new DiagCode::ManifestMalformed for carrier-document structure
errors (discharges an existing TODO)
- cph-typst: augmented manifest now serializes the outline (element/section
entries) instead of a flat parts array
- render/lib.typ: render-lesson renders section headings at their depth
- examples/TH-141 migrated to 5 nested section containers + 3 root segments,
byte-identical element order; smoke-verified via cph check/build + pdftotext
ADR-0030 — batch & combined export, extends ADR-0009/0011:
- cph build with no --target batches every declared target (repeatable
--target for an explicit subset); any target failure => non-zero exit,
per-target ledger, independent per-target execution
- cph-model: bundle.toml loader (directory + [info]/[targets.*]/ordered
lessons with per-lesson target overrides)
- cph-typst: augmented bundle manifest (path-prefixed member outlines),
Engine::{compile_check_bundle,build_bundle_pdf}
- render/lib.typ: render-bundle assembles member lessons under per-lesson
headings, depth-shifts their own section headings, resets example/lemma
counters at each lesson boundary by default
- cph-cli: `cph bundle <path> --target <name>` subcommand, same batching
contract as `cph build`
- new bundle fixtures/tests (cph-model unit + cph-typst through-template PDF
compile), smoke-verified via a real 2-lesson merged PDF
Verification: cargo fmt/clippy/test clean across the workspace (68 tests);
real cph check/build/bundle runs against TH-141 and a bundle fixture, PDF
content inspected via pdftotext.
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kind = "lemma"
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不同晶面的表面原子缺键数不同,故 $gamma_(S G)$ 随晶面指数 $(h k l)$ 而变。以简单立方为例:(100) 缺 1 键、(110) 缺 2 键、(111) 缺 3 键,从而
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$ gamma_(S G)^((100)) < gamma_(S G)^((110)) < gamma_(S G)^((111)) . $ <晶面各向异性>
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kind = "lemma"
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设固体体积 $V$、表面积 $A$,应变 $epsilon$ 为均匀小量。体相单位体积的自由能 $f_b = Y epsilon^2 \/ 2$,表面单位面积的自由能 $gamma(epsilon)$,总自由能
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$ F = V f_b + A gamma(epsilon) . $
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对均匀拉伸 $V epsilon$ 求导得单位横截面承担的应力
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$ sigma_("tot") = (partial F) / (partial (V epsilon)) = Y epsilon + A / V dot (dif gamma) / (dif epsilon) , $
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即 @总应力。
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对横截面被均匀拉伸的固体,单位横截面承担的总应力为
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$ sigma_("tot") = Y epsilon + A / V dot (dif gamma) / (dif epsilon) , $ <总应力>
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其中 $Y$ 为杨氏模量、$epsilon$ 为应变、$A \/ V$ 为表面积与体积之比。第一项为体相弹性贡献,第二项为表面贡献。
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kind = "lemma"
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固气界面 $gamma_(S G)$ 的缺键模型公式由 @缺键一般式 直接迁移,只把摩尔汽化热 $L_m$ 替换为摩尔升华热 $L_s$:
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$ gamma_(S G) = (1 - zeta) thin L_s thin rho^(2\/3) / (mu^(2\/3) thin N_A^(1\/3)) . $ <固气缺键式>
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物理来源也只是把"把分子从液体里拉出来"换成"把原子从晶格里拉出来",骨架公式 @骨架公式 与单键计数过程不变。
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