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Recurrence Coefficient Unit Consistency Tag

Preserve an explicit recurrence term and coefficient unit convention without performing dimensional inference.

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Description

Preserve an explicit recurrence term and coefficient unit convention.

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.

Preserve an explicit recurrence term and coefficient unit convention.

When to use this tool

Use Recurrence Coefficient Unit Consistency Tag when you already have termUnit, coefficientUnit, conventionSource and need to preserve an explicit recurrence term and coefficient unit convention.

How to use the tool and how it works

  1. Enter termUnit, coefficientUnit, conventionSource. Use the units and conventions below.
  2. Run the tool. Correct any format, range, or cross-field input error before interpreting the output.
  3. Read token. Use the output convention below.

Enter termUnit, coefficientUnit, conventionSource using the field constraints below. Encode these values, in exactly that order, as a JSON array and return the serialized array as text in token. String values are preserved without trimming or external terminology lookup.1

Input fieldMeaning and unitsAccepted input
termUnitTerm UnitRequired. Text; minimum UTF-16 length 1; maximum UTF-16 length 8192.
coefficientUnitCoefficient UnitRequired. Text; minimum UTF-16 length 1; maximum UTF-16 length 8192.
conventionSourceConvention SourceRequired. Text; minimum UTF-16 length 1; maximum UTF-16 length 8192.
Output fieldInterpretationReturned shape
tokenTokenRequired. Text; maximum UTF-16 length 8192.
json
{
  "input": {
    "termUnit": "m",
    "coefficientUnit": "dimensionless",
    "conventionSource": "Model A"
  },
  "output": {
    "token": "[\"m\",\"dimensionless\",\"Model A\"]"
  }
}

Limitations and assumptions

  • The result records supplied values without performing dimensional inference. Sources and asserted relationships are not independently authenticated.
  • 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.

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

  1. Calculation and input contract: sequence/recurrence-coefficient-unit-consistency-tag — tool.io

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