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Overlap Score Reference Subset Flag Tool

Calculate overlap score reference subset flag from explicit caller-supplied inputs.

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Description

Calculate score=intersection/min(firstSize,secondSize) and subset flags from intersection equaling each size.

A similarity term depends on the comparison universe, missing-value policy, treatment of repeated features, and normalization. A score can also have a caller-selected value when its mathematical denominator vanishes. Those conventions matter before interpreting a threshold or comparing methods.

Calculate score=intersection/min(firstSize,secondSize) and subset flags from intersection equaling each size.

When to use this tool

Use Overlap Score Reference Subset Flag when you need this particular comparison term, normalization, domain condition, or empty-result policy in a larger matching workflow.

How to use the tool and how it works

  1. Enter intersection, firstSize, secondSize. Use the units and conventions below.
  2. Run the tool. Correct any format, range, or cross-field input error before interpreting the output.
  3. Read score, firstSubset, secondSubset. Inspect firstSubset, secondSubset before interpreting the associated values.

Calculate score=intersection/min(firstSize,secondSize) and subset flags from intersection equaling each size. Require positive integer sizes and feasible intersection.1

Input fieldMeaning and unitsAccepted input
intersectionIntersectionRequired. Safe integer; minimum 0.
firstSizeFirst SizeRequired. Safe integer; minimum 1.
secondSizeSecond SizeRequired. Safe integer; minimum 1.
Output fieldInterpretationReturned shape
scoreScoreRequired. Finite number.
firstSubsetFirst SubsetRequired. Boolean.
secondSubsetSecond SubsetRequired. Boolean.
json
{
  "input": {
    "intersection": 3,
    "firstSize": 3,
    "secondSize": 5
  },
  "output": {
    "score": 1,
    "firstSubset": true,
    "secondSubset": false
  }
}

Limitations and assumptions

  • The subset conclusions assume the supplied counts describe the actual sets. Empty sets are rejected and no elements, direction-specific containment score, or semantic relation is inspected.
  • The field tables state structural bounds; the mechanics also specify cross-field constraints. Malformed inputs and unsupported domains cause errors. A successful false flag, empty branch value, or zero placeholder has the meaning stated above and is distinct from an input error.
  • Numeric calculations use binary floating point unless exact decimal-integer arithmetic is explicitly stated. No hidden measurement tolerance or decimal rounding is added; nonfinite or out-of-contract results are rejected. Signed zero is exported as zero.

Alternative or Complementary methods

Compare methods only after aligning feature definitions, missingness, empty policies, multiplicities, and normalizers. Use a complete comparison when the tool returns only one contribution or count check.

References

  1. Calculation and input contract: similarity/overlap-score-reference-subset-flag — tool.io

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