Description
Classify requestedIndex before initialIndex as before-sequence, within the next order positions as initial-condition, and later as recurrence-step.
A sequence depends on its starting index, initial values, and recurrence or difference rule. A component evaluated at one index does not establish the behavior of an arbitrary sequence outside those supplied conventions.
Classify requestedIndex before initialIndex as before-sequence, within the next order positions as initial-condition, and later as recurrence-step.
When to use this tool
Use Recurrence Step Boundary Label when you need a bounded sequence-index or adjacent-difference calculation.
How to use the tool and how it works
- Enter initialIndex, order, requestedIndex. Use the units and conventions below.
- Run the tool. Correct any format, range, or cross-field input error before interpreting the output.
- Read status. Use the output convention below.
Classify requestedIndex before initialIndex as before-sequence, within the next order positions as initial-condition, and later as recurrence-step.1
| Input field | Meaning and units | Accepted input |
|---|---|---|
| initialIndex | Initial Index | Required. Safe integer; minimum -1000000; maximum 1000000. |
| order | Order | Required. Safe integer; minimum 1; maximum 256. |
| requestedIndex | Requested Index | Required. Safe integer; minimum -1000000; maximum 1000000. |
| Output field | Interpretation | Returned shape |
|---|---|---|
| status | Status under the explicitly supplied comparison or record convention. | Required. Text; maximum UTF-16 length 8192. |
{
"input": {
"initialIndex": 0,
"order": 2,
"requestedIndex": 1
},
"output": {
"status": "initial-condition"
}
}Limitations and assumptions
- This identifies an index region only; recurrence coefficients and sequence values are not supplied or evaluated.
- 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
Write down the full sequence definition and verify its indexing when comparing with another source.
References
Similar or alternative tools
- Finite Difference Row Entry
Choose a valid adjacent position and subtract values[index] from values[index + 1].
- Polynomial Missing Degree Padding
Fill an ascending array of length maximumDegree + 1 with zeros and assign the supplied coefficients.