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Marker Frame Condition Ratio Tool

Inspect a supplied 3D frame singular-value condition ratio; no matrix factorization or biomechanical validity judgment.

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Description

Return a condition number from three supplied singular values.

Motion records combine sampled coordinates, periodic angles, event timing and signed work or impulse conventions. Local numerical differences and panels can be computed independently while actual event detection, full trajectories and physiological significance require complete measurements and analysis.

Return a condition number from three supplied singular values.

When to use this tool

Use Marker Frame Condition Ratio when checking the stated movement timing, angle, geometry, energy or panel convention.

How to use the tool and how it works

  1. Enter singularValues, suppliedMaximumCondition. 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 conditionNumber, minimumSingularValue, exceedsSuppliedMaximum. Inspect exceedsSuppliedMaximum before interpreting the associated values.

Return a condition number from three supplied singular values. Require exactly three nonnegative values with positive minimum and maximum condition >= 1; conditionNumber = maximum/minimum, exceeds uses strict comparison.1

Input fieldMeaning and unitsAccepted input
singularValuesSingular ValuesRequired. Array of finite number; minimum 0; maximum items 256.
suppliedMaximumConditionSupplied Maximum ConditionRequired. Finite number; minimum 1.
Output fieldInterpretationReturned shape
conditionNumberCondition NumberRequired. Finite number.
minimumSingularValueMinimum Singular ValueRequired. Finite number.
exceedsSuppliedMaximumExceeds Supplied MaximumRequired. Boolean.
json
{
  "input": {
    "singularValues": [
      4,
      2,
      1
    ],
    "suppliedMaximumCondition": 3
  },
  "output": {
    "conditionNumber": 4,
    "minimumSingularValue": 1,
    "exceedsSuppliedMaximum": true
  }
}

Limitations and assumptions

  • No SVD or frame calibration is performed; the values and appropriate acceptance limit are supplied.
  • 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

Inspect calibrated motion/force data and use an appropriate complete trajectory or dynamics analysis; interpret health and safe-loading implications with qualified professionals.

References

  1. Calculation and input contract: biomechanics/marker-frame-condition-ratio — tool.io

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