Description
Return inputMass=sum(masses), constituentMass=sum(mass*fraction), and recoveredConstituent=constituentMass*recoveryFraction.
Oral laboratory and research records use specimen labels, model coordinates, material quantities, event times, and device identifiers. A matching label or dimensional clearance answers a narrower question than verified anatomy, traceability, or clinical suitability. Source identity, reference frames, and measurement units must remain explicit.
Return inputMass=sum(masses), constituentMass=sum(mass*fraction), and recoveredConstituent=constituentMass*recoveryFraction.
When to use this tool
Use Oral Surgery Laboratory Alloy Mass Term when you need this specimen-record, device-label, timing, material, or model-geometry check.
How to use the tool and how it works
- Enter masses, fractions, recoveryFraction. Keep parallel arrays aligned. Use the units and conventions below.
- Run the tool. Correct any format, range, or cross-field input error before interpreting the output.
- Read inputMass, constituentMass, recoveredConstituent. Use the output convention below.
Require aligned nonnegative masses and fractions in [0,1], plus recoveryFraction in [0,1]. Return inputMass=sum(masses), constituentMass=sum(mass*fraction), and recoveredConstituent=constituentMass*recoveryFraction.1
| Input field | Meaning and units | Accepted input |
|---|---|---|
| masses | Masses | Required. Array of finite number; maximum items 256. |
| fractions | Fractions | Required. Array of finite number; maximum items 256. |
| recoveryFraction | Recovery Fraction | Required. Finite number; minimum 0; maximum 1. |
| Output field | Interpretation | Returned shape |
|---|---|---|
| inputMass | Input Mass | Required. Finite number. |
| constituentMass | Constituent Mass | Required. Finite number. |
| recoveredConstituent | Recovered Constituent | Required. Finite number. |
{
"input": {
"masses": [
20,
30
],
"fractions": [
0.5,
0.8
],
"recoveryFraction": 0.9
},
"output": {
"inputMass": 50,
"constituentMass": 34,
"recoveredConstituent": 30.6
}
}Limitations and assumptions
- Masses need one unit and fractions refer to the same constituent basis. This supplied laboratory mass model does not validate alloy composition, processing recovery, material compatibility, or clinical safety.
- 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 authenticated records and the intended laboratory or measurement protocol for the full task. Verify source labels, coordinate frames, calibration, and the limits of the supplied physical model.
References
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