capwitf/my-mathmodeling-skills/math-table

符号表与结果表

用途

Format notation tables without changing mathematical meaning.

核心规则：先保护符号和定义。排版修改不能悄悄重命名变量、改变定义域或修改单位。

国一候选门槛：表格必须让题目贴合、建模洞察、证据可信、可复现、边界清楚变得更可核验；这是提交质量门槛，不承诺获奖。符号、单位、来源和场景标签不清楚时，排版再紧凑也不能进入论文就绪状态。

硬门禁：单位是模型的一部分，不是装饰。单位未知或冲突时，符号表不能进入论文就绪状态。

流程

1. Read the current notation source and the first-use locations when available.
2. Preserve the symbol list unless the user explicitly asks to add/remove rows.
3. Normalize columns to: symbol, meaning, unit, and optionally domain/source.
4. Use longtable when the table may cross pages.
5. Use booktabs rules and avoid vertical lines.
6. Put -- only for dimensionless or truly not-applicable units.
7. Mark unknown, conflicting, or unstated units as blockers or pending confirmation; do not hide them with --.
8. Wrap only long cells; do not shrink the whole table until unreadable.
9. Compile or run the smallest available LaTeX check after editing.

一致性检查

• Every formula symbol used in the body appears in the table or is locally defined.
• Every table symbol has one meaning and one unit across the paper.
• Indices, sets, parameters, variables, slack variables, and binary variables are distinguishable.
• Units match the result tables and axis labels.
• No stale symbols from old problems remain.

表格清单门禁

When auditing result tables as part of a paper pass, report table_count by subquestion and distinguish:

• required result tables that answer a deliverable;
• notation or parameter tables that make the model readable;
• diagnostic or appendix tables that should not crowd the main body;
• tables missing key data, units, scenario labels, baselines, source rows, or validation status.

Do not add tables just to show effort. If a result is exact, central, and short, prefer a table; if the table repeats a figure without adding exact values, remove, merge, or demote it. A main-body table is blocked when its units, source, or target subquestion are unknown.

红线

Stop and report a blocker when:

• a symbol appears with two meanings or two units;
• an engineering quantity has -- as a unit without being dimensionless;
• a formula symbol is missing from both local definition and symbol table;
• notation was changed to fit layout rather than preserving math;
• stale symbols from another problem remain in the table.

推荐模式

\begin{longtable}{p{0.18\linewidth} p{0.62\linewidth} p{0.12\linewidth}}
\caption{Core notation}\label{tab:symbols}\\
\toprule
Symbol & Meaning & Unit \\
\midrule
\endfirsthead
\toprule
Symbol & Meaning & Unit \\
\midrule
\endhead
$t$ & Time-step index & -- \\
$\Delta t$ & Time-step length & h \\
\bottomrule
\end{longtable}

输出规则

• Keep edits minimal and reversible.
• Preserve mathematical notation exactly unless asked otherwise.
• Prefer compact spacing and balanced columns over decorative styling.
• Do not insert \newpage or \clearpage solely to place the symbol table.
• For paper table audits, include table_count, required tables missing, appendix candidates, and unit/source blockers.