Description
Return count=abs(firstCount-secondCount) and fromFirst when firstCount is strictly larger, requiring nonnegative integer multiplicities.
A finite set records membership, while a multiset also records multiplicity. An ordered set adds an ordering rule, and an interval adds endpoint-closure choices. A witness for one element, a count budget, and equality of complete sets establish different facts.
Return count=abs(firstCount-secondCount) and fromFirst when firstCount is strictly larger, requiring nonnegative integer multiplicities.
When to use this tool
Use Multiset Symmetric Difference One Count when you need the stated finite-set, interval, multiplicity, membership, or ordering operation under the given equality convention.
How to use the tool and how it works
- Enter firstCount, secondCount. Use the units and conventions below.
- Run the tool. Correct any format, range, or cross-field input error before interpreting the output.
- Read count, fromFirst. Inspect fromFirst before interpreting the associated values.
Return count=abs(firstCount-secondCount) and fromFirst when firstCount is strictly larger, requiring nonnegative integer multiplicities.1
| Input field | Meaning and units | Accepted input |
|---|---|---|
| firstCount | First Count | Required. Safe integer; minimum 0. |
| secondCount | Second Count | Required. Safe integer; minimum 0. |
| Output field | Interpretation | Returned shape |
|---|---|---|
| count | Count under the stated input or output convention. | Required. Safe integer. |
| fromFirst | From First | Required. Boolean. |
{
"input": {
"firstCount": 5,
"secondCount": 2
},
"output": {
"count": 3,
"fromFirst": true
}
}Limitations and assumptions
- Equal counts produce zero and fromFirst false. This is one key's multiset symmetric-difference contribution, not a comparison of full count maps or actual item identities.
- 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
Use a full set operation when one element or count cannot establish the required relation. Preserve the distinction between strings, typed scalar atoms, nested sets, ordered lists, and multisets.
References
Similar or alternative tools
- Multiset Count Map Negative Entry Flag
For distinct keys aligned with signed integer counts, list negativeKeys and return valid when that list is empty.
- Multiset Count Signed Update Underflow
Add signed integer delta to nonnegative count.