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Anesthesia Study Event Precision Envelope Tool

Bound an event-time gap from two symmetric uncertainty intervals.

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Description

Return event-gap bounds from supplied precision half-widths.

Anesthesia-related research and training records require explicit clocks, missingness flags, exclusions and measurement references. These tools reconcile benign records, simulations or bench data; an acceptable local overlap or composition sum does not establish clinical adequacy or safe patient care. Censored observations provide bounds rather than observed event times.

Return event-gap bounds from supplied precision half-widths.

When to use this tool

Use Anesthesia Study Event Precision Envelope when checking the stated benign record, simulation, timing or bench-measurement convention.

How to use the tool and how it works

  1. Enter firstTime, firstHalfwidth, secondTime, secondHalfwidth. 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 minimumGap, maximumGap, definitelyOrdered. Inspect definitelyOrdered before interpreting the associated values.

Return event-gap bounds from supplied precision half-widths. Require nonnegative half-widths; minimumGap = second-first-uSecond-uFirst, maximumGap = second-first+uSecond+uFirst, definitelyOrdered requires strict positive minimum gap.1

Input fieldMeaning and unitsAccepted input
firstTimeFirst TimeRequired. Finite number.
firstHalfwidthFirst HalfwidthRequired. Finite number; minimum 0.
secondTimeSecond TimeRequired. Finite number.
secondHalfwidthSecond HalfwidthRequired. Finite number.
Output fieldInterpretationReturned shape
minimumGapSecond event’s earliest bound minus first event’s latest bound; strict positivity establishes definitelyOrdered.Required. Finite number.
maximumGapMaximum GapRequired. Finite number.
definitelyOrderedDefinitely OrderedRequired. Boolean.
json
{
  "input": {
    "firstTime": 10,
    "firstHalfwidth": 1,
    "secondTime": 15,
    "secondHalfwidth": 2
  },
  "output": {
    "minimumGap": 2,
    "maximumGap": 8,
    "definitelyOrdered": true
  }
}

Limitations and assumptions

  • Touching envelopes do not establish strict order; these are supplied precision bounds, not confidence intervals or clinical event verification.
  • 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 verified source records and appropriate complete analysis for research or quality review; seek qualified medical and engineering assessment for actual clinical care or equipment decisions.

References

  1. Calculation and input contract: anesthesiology/anesthesia-study-event-precision-envelope — tool.io

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