Description
Return defined for two positive norms, otherwise label both-zero, first-zero, or second-zero.
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 defined for two positive norms, otherwise label both-zero, first-zero, or second-zero.
When to use this tool
Use Cosine Zero Support Label 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 firstNorm, secondNorm. Use the units and conventions below.
- Run the tool. Correct any format, range, or cross-field input error before interpreting the output.
- Read defined, label. Inspect defined before interpreting the associated values.
Return defined for two positive norms, otherwise label both-zero, first-zero, or second-zero. Require nonnegative norms.1
| Input field | Meaning and units | Accepted input |
|---|---|---|
| firstNorm | First Norm | Required. Finite number; minimum 0. |
| secondNorm | Second Norm | Required. Finite number; minimum 0. |
| Output field | Interpretation | Returned shape |
|---|---|---|
| defined | Whether the stated denominator or quantity is defined; inspect before interpreting a placeholder. | Required. Boolean. |
| label | Label | Required. Text; maximum UTF-16 length 8192. |
{
"input": {
"firstNorm": 0,
"secondNorm": 3
},
"output": {
"defined": false,
"label": "first-zero"
}
}Limitations and assumptions
- These are supplied norm summaries. The tool does not calculate cosine, validate feature vectors, or choose a zero-norm similarity fallback.
- 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
- Cosine Antiparallel Negative Score Label
Return negative for score<0 and antiparallel when abs(score+1)<=tolerance.
- Similarity: Cosine Zero Norm Policy
Compute cosine similarity with an explicit reject/zero undefined-norm policy and a retained defined flag; zero is not silently treated as a measured cosine.