Description
deviation = measured-nominal; lowerMargin = deviation+lowerTolerance; upperMargin = upperTolerance-deviation.
Dental specimen and bench-model measurements need an explicit image scale, coordinate origin and geometric convention. A linear taper, chord ratio or calibrated length describes a supplied model and does not establish anatomy or guide clinical treatment.
deviation = measured-nominal; lowerMargin = deviation+lowerTolerance; upperMargin = upperTolerance-deviation.
When to use this tool
Use Endodontic Bench Instrument Length Tolerance Gap when checking a supplied research or bench-model dimension.
How to use the tool and how it works
- Enter nominal, measured, lowerTolerance, upperTolerance. Use the units and conventions below.
- Run the tool. Correct any format, range, or cross-field input error before interpreting the output.
- Read deviation, lowerMargin, upperMargin, within. Inspect within before interpreting the associated values.
Require nonnegative nominal, measured, lowerTolerance and upperTolerance. deviation = measured-nominal; lowerMargin = deviation+lowerTolerance; upperMargin = upperTolerance-deviation. within includes both nominal-minus-lower and nominal-plus-upper boundaries.1
| Input field | Meaning and units | Accepted input |
|---|---|---|
| nominal | Nominal | Required. Finite number; minimum 0. |
| measured | Measured | Required. Finite number; minimum 0. |
| lowerTolerance | Lower Tolerance | Required. Finite number; minimum 0. |
| upperTolerance | Upper Tolerance | Required. Finite number; minimum 0. |
| Output field | Interpretation | Returned shape |
|---|---|---|
| deviation | Deviation | Required. Finite number. |
| lowerMargin | Measured minus nominal lower boundary. | Required. Finite number. |
| upperMargin | Nominal upper boundary minus measured. | Required. Finite number. |
| within | Within | Required. Boolean. |
{
"input": {
"nominal": 25,
"measured": 24.8,
"lowerTolerance": 0.3,
"upperTolerance": 0.2
},
"output": {
"deviation": -0.1999999999999993,
"lowerMargin": 0.1000000000000007,
"upperMargin": 0.3999999999999986,
"within": true
}
}Limitations and assumptions
- All values share one length unit. Tolerances are supplied bench criteria, not retrieved manufacturer limits or clinical working-length recommendations.
- 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 specimen and instrument methods, full geometry and professional clinical assessment when the question extends beyond bench arithmetic.
References
Similar or alternative tools
- Endodontic File Bench Taper Diameter Term
localDiameter = tipDiameter+taperPerLength*distance; endDiameter uses segmentLength; radiusIncrease = taperPerLength*distance/2.
- Endodontic File Bench Torque Radius Factor
tangentialForce = torque/radius; forcePerArm = torque/(radius*momentArms).