Description
Calculate the exact decimal denominator a*d+b*c using BigInt from nonnegative integer cells, and return defined when it is nonzero.
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 the exact decimal denominator a*d+b*c using BigInt from nonnegative integer cells, and return defined when it is nonzero.
When to use this tool
Use Yule Q Zero Denominator Condition 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 a, b, c, d. Use the units and conventions below.
- Run the tool. Correct any format, range, or cross-field input error before interpreting the output.
- Read defined, denominator. Inspect defined before interpreting the associated values.
Calculate the exact decimal denominator a*d+b*c using BigInt from nonnegative integer cells, and return defined when it is nonzero.1
| Input field | Meaning and units | Accepted input |
|---|---|---|
| a | A | Required. Safe integer. |
| b | B | Required. Safe integer. |
| c | C | Required. Safe integer. |
| d | D | Required. Safe integer. |
| Output field | Interpretation | Returned shape |
|---|---|---|
| defined | Whether the stated denominator or quantity is defined; inspect before interpreting a placeholder. | Required. Boolean. |
| denominator | Exact decimal a*d+b*c; no Yule-Q value returned. | Required. Text; maximum UTF-16 length 8192. |
{
"input": {
"a": 2,
"b": 0,
"c": 0,
"d": 3
},
"output": {
"defined": true,
"denominator": "6"
}
}Limitations and assumptions
- This checks the Yule-Q denominator only, without returning Q or validating a full contingency table. Cell meanings and the comparison universe must be supplied.
- 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
- Rogers Tanimoto One Disagreement Term
Return score=(jointPresent+jointAbsent)/(jointPresent+jointAbsent+2*disagreements).
- Pearson Similarity Constant Input Domain
Return defined only when both supplied variances are positive, with constantFirst and constantSecond for exact zero variances.