Proof Book Page Turn Frequency Limit Calculator

Budget complete viewing sessions across independently declared per-page turn capacities, retaining local bottlenecks; no universal page fatigue or handling frequency rule.

Description

A viewing session can consume different turn counts from different pages.

A viewing session can consume different turn counts from different pages. The most constrained used page limits complete sessions.

Budget complete viewing sessions across independently declared per-page turn capacities, retaining local bottlenecks; no universal page fatigue or handling frequency rule.

When to use Proof Book Page Turn Frequency Limit Calculator

Use this tool to budget complete viewing sessions across independently declared per-page turn capacities, retaining local bottlenecks; no universal page fatigue or handling frequency rule.

Prepare the collection, exposure, scheduling or financial records required for this calculation. Keep row order and the declared units consistent.

How to use Proof Book Page Turn Frequency Limit Calculator and understand its results

  1. Prepare the collection, exposure, scheduling or financial records required for this calculation. Keep row order and the declared units consistent.
  2. Enter perPageRemainingTurnBudgets, turnsPerViewingSession using the field table and calculation rules, then run the tool.
  3. Read maximumCompleteViewingSessions, remainingTurnsAfterSessions, limitingPageIndices. The explanation below defines the units, signs, ordering and any flags or placeholder values.
  4. If the tool reports an input issue, correct the values and run it again. Apply the stated assumptions when interpreting a successfully returned result.
Input fieldMeaningValue type; see rules belowRequirement
perPageRemainingTurnBudgetsPer page remaining turn budgetslist of numberRequired
turnsPerViewingSessionTurns per viewing sessionlist of numberRequired

Align nonnegative integer budgets and session turns, with at least one positive turn requirement. Ignore unused pages for the minimum, return all remaining budgets and zero-based limiting page indices, including ties.1

Paired lists must be nonempty and have equal lengths.

sessions = min floor(remaining page turns/turns per session) over used pages

Units, indexing, boundary conditions and exceptional cases are defined in the calculation rules above.

Output fieldMeaningValue type
maximumCompleteViewingSessionsMaximum complete viewing sessionsnumber
remainingTurnsAfterSessionsRemaining turns after sessionslist of number
limitingPageIndicesLimiting page indiceslist of number
json
{
  "input": {
    "perPageRemainingTurnBudgets": [
      10,
      4,
      20
    ],
    "turnsPerViewingSession": [
      1,
      2,
      0
    ]
  },
  "output": {
    "maximumCompleteViewingSessions": 2,
    "remainingTurnsAfterSessions": [
      8,
      0,
      20
    ],
    "limitingPageIndices": [
      1
    ]
  }
}

Limitations and assumptions

Budgets are caller-declared; no universal fatigue or handling-frequency rule.

Numbers and computed results must be finite; overflow produces an error. Numeric lists are limited to 100,000 entries; the rules above may require smaller limits. Missing required fields, extra fields, wrong value types and violations of the calculation rules are input errors.

Alternative or Complementary methods

Use Exhibition Duration from Lux Budget Calculator: Invert an explicitly mixed daily lighting program into complete budget-compatible display days, not a universal recommended exhibition duration. For a complementary task, use Pre-Loan Condition Check Completion Percent Calculator: Audit applicable pre-loan condition checks with explicit exclusions/weights and unresolved indices; no assertion that a completed checklist makes a loan safe.

References

  1. Proof Book Page Turn Frequency Limit Calculator — tool.io

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