Every length wrong, every reading right — the calibration run generator
A four-bar was built to the dimensions in the upper bar of each pair and its output angle read at 30 positions. A calibration started from the nominal dimensions returns the lower bar. It reproduces every one of those readings to 1.81e-16 radians and not one of its four numbers is the machine's: they are the machine's multiplied by 0.992289, every one of them, to 3.0e-16. The shape is recovered exactly — the distance in Freudenstein's three invariants is 6.3e-16 — and the size is a free parameter the damping happened to leave near where it started. A machinist handed these numbers would build a machine that works and is not this one.
The dimensions as the unknownwide
Where it is used
- Every length wrong, every reading right Numbers that were measured
- The instrument's error, multiplied Numbers that were measured
- Reading a residual Numbers that were measured
- A parameter the model has not got Numbers that were measured
- One set of lengths, two machines Numbers that were measured
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