Description
Return count=max(0,first-second) and deficit=max(0,second-first) for 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=max(0,first-second) and deficit=max(0,second-first) for nonnegative integer multiplicities.
When to use this tool
Use Multiset Subtraction Truncated One Key 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 first, second. Use the units and conventions below.
- Run the tool. Correct any format, range, or cross-field input error before interpreting the output.
- Read count, deficit. Use the output convention below.
Return count=max(0,first-second) and deficit=max(0,second-first) for nonnegative integer multiplicities.1
| Input field | Meaning and units | Accepted input |
|---|---|---|
| first | First | Required. Safe integer; minimum 0. |
| second | Second | Required. Safe integer; minimum 0. |
| Output field | Interpretation | Returned shape |
|---|---|---|
| count | Count under the stated input or output convention. | Required. Safe integer. |
| deficit | Deficit | Required. Safe integer. |
{
"input": {
"first": 5,
"second": 3
},
"output": {
"count": 2,
"deficit": 0
}
}Limitations and assumptions
- The count is truncated at zero while deficit exposes over-subtraction. No key is identified and no complete multiset or inventory state is updated.
- 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 Key Capacity Slack
For distinct keys aligned with nonnegative integer counts and capacities, return each capacity-minus-count slack and allWithinCapacity when every slack is nonnegative.
- Multiset Quotient Remainder One Key
Use exact BigInt quotient and remainder to divide nonnegative integer multiplicity by positive integer divisor, returning bounded numeric outputs.