Tolerance Band Compliance Checker

Compare actual issue-specific measured quantity with independently applicable same-unit inclusive tolerance band, retaining signed margins; not mint/service compliance or authentication.

Description

A tolerance band has both lower and upper limits, which can differ from a symmetric nominal tolerance.

A tolerance band has both lower and upper limits, which can differ from a symmetric nominal tolerance.1

This checker reports signed distances to each inclusive boundary.

When to use Tolerance Band Compliance Checker

Use this tool to calculate or review the supplied observations under the stated rules. Establish the coin issue, source edition, measurement basis and reference date where applicable.

How to use Tolerance Band Compliance Checker and understand its results

  1. Establish the coin issue, source edition, measurement basis and reference date where applicable.
  2. Enter observedQuantity, callerApplicableLower, callerApplicableUpper, using the field meanings and rules below, then run the tool.
  3. Read result. Inspect nested result fields where present, and review unknown records separately from known matches.
  4. Correct any reported input issue and run again. Before using a successful result, check the stated units, signs, reference scope and observation coverage.
Input fieldMeaningValue typeRequirement
observedQuantityObserved quantitynumberRequired
callerApplicableLowerCaller applicable lowernumberRequired
callerApplicableUpperCaller applicable uppernumberRequired

Use finite observed and lower/upper values with lower≤upper. Return observed−lower, upper−observed and whether both margins are nonnegative. A zero-width band passes only at its single value.

lowerMargin=value−lower; upperMargin=upper−value; within=lowerMargin≥0 and upperMargin≥0

Use the matching field units and the exact boundary, ordering and reference rules above.

Output fieldMeaningValue type
resultCalculated observation or qualified referenceobject
result.signedLowerMarginsigned Lower Margin; preserve the subtraction order and sign defined in the mechanicsnumber
result.signedUpperMarginsigned Upper Margin; preserve the subtraction order and sign defined in the mechanicsnumber
result.withinCallerInclusiveBandwithin Caller Inclusive Bandboolean
json
{
  "input": {
    "observedQuantity": 10,
    "callerApplicableLower": 9.5,
    "callerApplicableUpper": 10.5
  },
  "output": {
    "result": {
      "signedLowerMargin": 0.5,
      "signedUpperMargin": 0.5,
      "withinCallerInclusiveBand": true
    }
  }
}

Limitations and assumptions

Coin identification, reference applicability and measurement uncertainty require separate evidence. A returned explanation or arithmetic agreement does not establish authenticity, a certified grade or a current market value.

Missing required fields, unknown fields, wrong types and violated rules return input issues. Numeric values and outputs must be finite. Extremely large composite outputs are rejected.

Alternative or Complementary methods

For a related step, use Trade Dollar 420 Grains Checker: Coin mass can be compared with the nominal standard of an independently identified issue. For a complementary comparison, use Counterfeit Density Flag Checker: Bulk density is mass divided by volume and can be compared with an issue-specific reference interval.

References

  1. Tolerance Band Compliance Checker — tool.io

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