Delta-rational chord: Difference between revisions
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which can be plugged back into the error formula to obtain the error. (We multiply the 1:''r''<sub>1</sub>:''r''<sub>2</sub>:...:''r''<sub>''n''</sub> chord by x in order to compare it to the target DR chord on the same isodifferential series.) | which can be plugged back into the error formula to obtain the error. (We multiply the 1:''r''<sub>1</sub>:''r''<sub>2</sub>:...:''r''<sub>''n''</sub> chord by x in order to compare it to the target DR chord on the same isodifferential series.) | ||
This error measure is called '''naive least-squares error''' (NLS error). | This error measure is called '''naive least-squares error''' (NLS error). NLS error does not depend on whether the chord whose error is being measured is 1:''r''<sub>1</sub>:''r''<sub>2</sub>:...:''r''<sub>''n''</sub> or the same chord linearly shifted to have root x. Unfortunately, this error measure does not form a metric on the set of delta signatures with a fixed number of terms. | ||
This error measure was found by Inthar and groundfault. | This error measure was found by Inthar and groundfault. | ||