Short Perf Teeth Count Deduction Checker
Rate counted short teeth under a matched caller deduction calibration. Matched piecewise-linear calibration, no extrapolation or universal thresholds. Caller independently verifies observations, reference edition, units and applicability; not a grading-service certificate, authentication, conservation treatment, actual market price or legal/insurance entitlement.
Description
Short perforation teeth may affect a condition assessment according to a particular grading reference.
Short perforation teeth may affect a condition assessment according to a particular grading reference.1
This tool interpolates a supplied short-teeth deduction curve rather than applying a universal percentage schedule.
When to use Short Perf Teeth Count Deduction Checker
Use this tool when you need to read a measured branch response and local slope within its recorded domain. Prepare independently verified observations, reference edition/context, and matching units or currency basis.
How to use Short Perf Teeth Count Deduction Checker and understand its results
- Prepare independently verified observations, reference edition/context, and matching units or currency basis.
- Enter observedShortTeethCountCoordinates, independentlyMatchedShortTeethCountResponses, queryShortTeethCountCoordinate, following the field table and calculation rules below, then run the tool.
- Read interpolatedResponse, localObservedSlope. For result objects, inspect the nested output fields below, including any missing evidence or selected indices.
- Correct any input issues and run again. Before using a successful result, review its units, signs, evidence coverage, and stated model or reference assumptions.
| Input field | Meaning | Value type | Requirement |
|---|---|---|---|
| observedShortTeethCountCoordinates | Observed short teeth count coordinates | list of number | Required |
| independentlyMatchedShortTeethCountResponses | Independently matched short teeth count responses | list of number | Required |
| queryShortTeethCountCoordinate | Query short teeth count coordinate | number | Required |
Supply finite ordered calibration coordinates, matched deductions, and an in-range query under the same counting or measurement convention. The curve helper does not require whole tooth counts or nonnegative deduction values; establish that basis independently.
The calibration helper requires at least two nonempty aligned finite samples with coordinates strictly increasing and the query in their closed interval. Interpolate linearly between neighboring coordinates and return the segment slope. At an exact knot use its observed response and the segment to the right, except at the final knot use the last segment. Out-of-range queries fail. Tool-specific restrictions stated above still apply.
t=(query−x_i)/(x_(i+1)−x_i); response=(1−t)y_i+t y_(i+1); slope=(y_(i+1)−y_i)/(x_(i+1)−x_i) Read these symbols with the field meanings and branch or reference rules above.
| Output field | Meaning | Value type |
|---|---|---|
| interpolatedResponse | Interpolated response | number |
| localObservedSlope | Local observed slope | number |
{
"input": {
"observedShortTeethCountCoordinates": [
1,
2,
3
],
"independentlyMatchedShortTeethCountResponses": [
2,
4,
8
],
"queryShortTeethCountCoordinate": 2.5
},
"output": {
"interpolatedResponse": 6,
"localObservedSlope": 4
}
}Limitations and assumptions
The branch, units, observation conditions, and response interpretation must be independently matched. Linear interpolation does not justify extrapolation, supply a universal physical or grading law, or provide uncertainty bounds.
Missing required fields, unknown fields, wrong types, and violated calculation rules return input issues. Numeric values must be finite; nonfinite numeric outputs are rejected. Arrays must be dense, with no missing cells. Numeric lists allow at most 10000 entries, subject to smaller tool-specific bounds above.
Alternative or Complementary methods
For a related task, use Perf Tip Condition Deduction Rater: Perforation-tip damage can be scored using a grading reference matched to the observations. This rater reads a caller calibration curve without certifying a condition grade. For a complementary step, use Face-Free Fault Composite Grade Adjuster: A composite grade adjustment can subtract supplied fault deductions from a base grade while respecting a chosen floor. This calculator exposes the raw score as well as the floored result so severe deductions remain visible.
References
-
Short Perf Teeth Count Deduction Checker — tool.io
Similar or alternative tools
- Perf Tip Condition Deduction Rater
Perforation-tip damage can be scored using a grading reference matched to the observations. This rater reads a caller calibration curve without certifying a condition grade.
- Face-Free Fault Composite Grade Adjuster
A composite grade adjustment can subtract supplied fault deductions from a base grade while respecting a chosen floor. This calculator exposes the raw score as well as the floored result so severe deductions remain visible.