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Math & AlgebraGenerated accuracy model review: 2026-05-06
Half-Life Calculator accuracy and testing
This page documents how Calwarden builds trust for this calculator: source notes, regression-style default tests, limitations, assumptions, unit handling, rounding, and visible change history.
Formula source
- The formula for half-life decay is exponential: N(t) = N₀ × (1/2)^(t / t½) * N(t): Remaining quantity * N₀: Initial quantity * t: Elapsed time * t½: Half-life period
Test cases
Default input regression check
Generated from the checked-in default inputs and calculate function.
Inputs
- Initial Quantity: 100 g
- Half-Life: 5 years
- Elapsed Time: 10 years
Expected outputs
- Remaining Amount: 25 g
Known limitations
- This page documents the checked-in calculator logic and does not certify results for every real-world edge case.
- Use the result as a planning estimate unless the calculator page states a stricter purpose.
Assumptions
- Initial quantity, elapsed time, and half-life are finite values.
- Half-life must be greater than zero, and elapsed time cannot be negative.
- The model assumes constant exponential decay across the full time period.
Unit handling
- Initial Quantity accepts values in g.
- Half-Life accepts values in years.
- Elapsed Time accepts values in years.
- Remaining Amount is displayed in g.
Rounding rules
- Number displays use up to 2 decimal places in the calculator UI.
Version history
1.0.0 - 2026-05-06
Generated accuracy and testing page from the current half-life-calculator calculator definition.
Change log
2026-05-06
Published default regression test documentation and metadata fallbacks for Half-Life Calculator.
Calculator transparency
Accuracy pages are generated from checked-in calculator definitions and can be upgraded with curated review metadata over time.