Description
Compare endpoint-index parity and calculate inclusive sequence length.
Sequence calculations depend on the reference index, common difference or ratio, and whether a domain uses exact integers or real-valued arithmetic. Alternation depends on index parity; modular arithmetic chooses a representative in a fixed residue interval. A supplied local rule is not discovered from data and need not establish a complete recurrence or prediction model.
Compare endpoint-index parity and calculate inclusive sequence length.
When to use this tool
Use Finite Sequence Endpoint Parity when you already have startIndex, endIndex and need to compare endpoint-index parity and calculate inclusive sequence length.
How to use the tool and how it works
- Enter startIndex, endIndex. Use the units and conventions below.
- Run the tool. Correct any format, range, or cross-field input error before interpreting the output.
- Read sameParity, inclusiveTermCount. Inspect sameParity before interpreting the associated values.
Require safe whole end>=start; use BigInt difference for parity and export end-start+1 as a number.1
| Input field | Meaning and units | Accepted input |
|---|---|---|
| startIndex | Start Index | Required. Safe integer. |
| endIndex | End Index | Required. Safe integer. |
| Output field | Interpretation | Returned shape |
|---|---|---|
| sameParity | Same Parity | Required. Boolean. |
| inclusiveTermCount | end-start+1; must fit the safe-integer output contract. | Required. Safe integer. |
{
"input": {
"startIndex": 2,
"endIndex": 6
},
"output": {
"sameParity": true,
"inclusiveTermCount": 5
}
}Limitations and assumptions
- Indices may be negative. A count beyond the safe-integer output range is rejected even though parity uses exact intermediates.
- Inputs must satisfy both the field types and the cross-field conditions above. Invalid input causes an error; a successful false flag or documented placeholder is a different result.
- 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. Numeric signed-zero results are exported as zero.
Alternative or Complementary methods
Use the complete sequence definition and initial conditions for recurrence analysis. Choose exact integer or rational arithmetic when large indices or exact terms matter; local reference shifts and residue operations do not discover a generating rule.
References
Similar or alternative tools
- Alternating Sequence Sign At Index
Find an alternating sequence's sign relative to a supplied reference index.
- Sequence Two Run Boundary Count
Calculate length and run count when joining two constant-value runs.