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Wearable Unit Resolution Ratio Tool

Compare two supplied device quantization resolutions in a caller-selected common unit.

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Description

Convert each resolution to the common base and return firstBaseResolution/secondBaseResolution.

Personal measurement records use resolutions, scales, reference values, and rounding rules. Resolution is a recording increment and differs from accuracy, uncertainty, and clinical agreement.

Convert each resolution to the common base and return firstBaseResolution/secondBaseResolution.

When to use this tool

Use Wearable Unit Resolution Ratio when you need one explicit measurement-record comparison or supplied calibration component.

How to use the tool and how it works

  1. Enter firstResolution, firstBasePerUnit, secondResolution, secondBasePerUnit. 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 firstBaseResolution, secondBaseResolution, ratio. Use the output convention below.

Require positive resolutions and positive base-per-unit factors for both devices. Convert each resolution to the common base and return firstBaseResolution/secondBaseResolution.1

Input fieldMeaning and unitsAccepted input
firstResolutionFirst ResolutionRequired. Finite number; strictly above 0.
firstBasePerUnitFirst Base Per UnitRequired. Finite number; strictly above 0.
secondResolutionSecond ResolutionRequired. Finite number; strictly above 0.
secondBasePerUnitSecond Base Per UnitRequired. Finite number; strictly above 0.
Output fieldInterpretationReturned shape
firstBaseResolutionFirst Base ResolutionRequired. Finite number.
secondBaseResolutionSecond Base ResolutionRequired. Finite number.
ratioRatio on the numerator and denominator basis stated above.Required. Finite number.
json
{
  "input": {
    "firstResolution": 1,
    "firstBasePerUnit": 0.001,
    "secondResolution": 0.01,
    "secondBasePerUnit": 1
  },
  "output": {
    "firstBaseResolution": 0.001,
    "secondBaseResolution": 0.01,
    "ratio": 0.1
  }
}

Limitations and assumptions

  • Resolutions describe increments, not accuracy or uncertainty; factor identity, unit compatibility, and device suitability are supplied rather than verified.
  • 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

Check instrument specifications, unit definitions, and appropriate professional interpretation before drawing a health conclusion.

References

  1. Calculation and input contract: health/wearable-unit-resolution-ratio — tool.io

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