When a classification rule changes, record the new boundary and trace every example that depends on it. Check cases below, at, and above the boundary, including missing or inapplicable inputs. Update definitions, worked solutions, and diagrams together so readers do not learn one rule from the text and another from the examples.
State the old and new rules explicitly
Suppose a fictional practice exercise groups storage boxes by a stated capacity range. The author changes the boundary between two groups during revision. Write the old rule and the accepted new rule side by side, including what happens exactly at the boundary. A note saying adjust the categories is not precise enough to guide dependent corrections.
Record why the rule changed and whether it is an invented teaching convention or a claim about an actual external system. For a real system, verify the change through the appropriate current source and subject review. Do not turn an editorial preference into an asserted outside requirement. Keep the scope of the revision clear before modifying the examples.
Find every dependent use of the classification
Search the manuscript and project records for category names, boundary values, and references to the method. Include tables, captions, exercises, solutions, summaries, and figures. A phrase such as the smaller group may depend on the rule without repeating its number, so supplement text searches with a contextual reading of the relevant chapter.
Give each affected use a place in the revision list. Identify whether it states the rule, demonstrates it, or relies on a classified result. This distinction helps order the corrections. Changing the definition alone leaves examples using the old interpretation; changing only the answers leaves readers without the rule needed to reproduce them.
Test the boundary and its neighboring cases
Use a small set of explicit test cases appropriate to the accepted rule. Include an ordinary case on each side and a case exactly at the boundary when that is meaningful. Check whether every case has the intended classification and whether any case accidentally belongs to two groups or none.
Consider missing or inapplicable inputs separately. Do not force them into a category merely because the example table expects a label. Define the treatment that the lesson actually supports, and preserve any unresolved question. For a fictional exercise, make the convention explicit; for a real classification, use the governing evidence rather than inventing a convenient exception.
Rework examples from their inputs
Return to each affected example's original inputs and apply the new rule. Preserve the intermediate reasoning needed by the reader. Do not simply replace the old category label with a new one throughout the file, because some examples may retain their classification while others change. Inspect the actual effect on each case.
Recalculate any summaries derived from the classifications. Group totals, comparison statements, and conclusions can change even when the example's raw numbers remain the same. Keep the result connected to the accepted rule version. A corrected worked solution should demonstrate the method the surrounding explanation now teaches.
Align visual explanations and answer material
Review diagrams, shaded regions, legends, and table labels that depict the old boundary. A visual division can contradict the new wording without containing a searchable number. Update the editable artwork or table source and inspect the exported result. Confirm that labels and captions describe the revised relationship accurately.
Check answer keys and hints independently. A hint may still steer readers toward the old classification even after the final answer is corrected. Preserve deliberate wrong examples only when they remain clearly labeled as such and their explanation matches the current lesson. Do not let a former correct solution become an unexplained counterexample through partial revision.
Close the revision with a fresh reader test
Ask a reviewer to apply the revised rule using the book's current explanation and the selected boundary cases. Record any ambiguity in the wording or examples. Fix the specific problem, then repeat the affected check. The trial establishes whether the intended lesson can be followed under the tested conditions, not that every possible case has been proven correct.
Save the rule decision, dependency list, corrected sources, and tested examples together. Mark the previous rule as superseded in the active drafting instructions so later AI or manual revisions do not restore it. The completed chapter should contain one coherent classification method and examples that show how to use it.
Frequently asked questions
Clear answers for this publishing decision.
Can I replace the old boundary number everywhere automatically?
A search can locate candidates, but each dependent example needs review. Some outcomes remain unchanged, while others affect calculations, explanations, or visual regions.
Why test a value exactly at the boundary?
It can reveal an ambiguous inclusion rule, overlapping categories, or a gap. Define and test that case when it is meaningful to the method.
What about examples with missing input values?
Treat them under an explicit supported convention. Do not assign a category merely to fill a table when the required evidence is absent.
Which related files are easiest to miss?
Hints, answer keys, diagrams, captions, and summaries may retain the old rule after the main definition changes. Review them through the dependency list.
How do I get from an idea and a brief to an editable manuscript I can finish?
Write the brief first, generate a structure you can edit, then draft and revise the manuscript in reviewable sections so one change never overwrites work you already approved.
Start a book project from a brief