Description
Return score=jointPresent/dimensions with positive integer dimensions and joint-present count within it.
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.
Return score=jointPresent/dimensions with positive integer dimensions and joint-present count within it.
When to use this tool
Use Russell Rao Joint Presence Denominator 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
- Enter jointPresent, dimensions. Use the units and conventions below.
- Run the tool. Correct any format, range, or cross-field input error before interpreting the output.
- Read score. Use the output convention below.
Return score=jointPresent/dimensions with positive integer dimensions and joint-present count within it.1
| Input field | Meaning and units | Accepted input |
|---|---|---|
| jointPresent | Joint Present | Required. Safe integer; minimum 0. |
| dimensions | Dimensions | Required. Safe integer; minimum 1. |
| Output field | Interpretation | Returned shape |
|---|---|---|
| score | Score | Required. Finite number. |
{
"input": {
"jointPresent": 3,
"dimensions": 10
},
"output": {
"score": 0.3
}
}Limitations and assumptions
- This Russell-Rao term credits joint presence only, not joint absence. Binary feature definitions, actual vectors, missingness, and the relevance of the chosen universe are not verified.
- 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
Similar or alternative tools
- Weighted Overlap Denominator Gap
Compare explicit overlap denominator conventions without computing a similarity score.
- Yule Q Zero Denominator Condition
Calculate the exact decimal denominator a*d+b*c using BigInt from nonnegative integer cells, and return defined when it is nonzero.