Translation of "Mittlerer fehler" in English

In another embodiment an average absolute error is calculated.

In spite of mean quadratic errors of 13° in the polar angle and 2.6 ?E units in the colour distance the vectorial auxiliary constructionis sufficient to enable the division of the sum vector according to the invention into a grey proportion and a coloured proportion composed of twoseparation colours to be carried out sensibly.

Predicting the time interval according to the related art is somewhat imprecise due to the fact that an average error either remains unconsidered in computing the deviations between a prediction and a measurement, as is the case for the method described in Application No. DE 10 2005 047 922 A1, or is simply added up.

In accordance with a further preferred embodiment of the method according to aspects of the invention, the pressure sensor is arranged in the first fluid line between the line shut-off and the first connection means, and the step of evaluation comprises the following: Determining an approximated polynomial function, especially of the 1 st or 2 nd order, of the pressure curve, determining a measure of scale, especially variance or mean error, from deviations of individual values of the pressure curve from the approximated polynomial function as representative variable, and concluding the interruption or disturbance of connection if the representative variable deviates from the reference value by no more than a predetermined amount.

Subsequently, a variance or a mean error, for instance, is established from the deviations of the pressure values used from the approximated polynomial function by calculating a mean value of the deviations.

Alternatively, a mean square error or mean higher-order error can be calculated from the deviations.

Very bright telescope (aperture 50 mm) and very high magnification (42x), reading of the telescope level (8“/2 mm) by optical coincidence in the telescope field of view. Micrometer with plane parallel glass plate (measuring range 5 mm; reading 0,05 mm)., Mean error per km according to DIN 18723: +/- 0,2 mm.

To predict the future time interval between two markings 60, the ratio of the measured value which precedes the instantaneous measured value by k to at least one subsequent measured value is used to deduce the subsequent measured value to be predicted from the instantaneous measured value, an average error for the last measured value being added before a ratio of the measured values from the past is applied to this sum.

The device of claim 2 wherein said lumped motion vector is determined metrically using block matching algorithms MAD (mean absolute difference) or MSE (mean square error) or algorithms with equivalent merit, to compare a plurality of image frames digitally representing a motion produced by operation of said device.

The accuracy obtained for temperature forecasting (calculated as MAE = mean absolute error) are the highest ever published - in a study with global extension - for the forecast 1 to 180 hours ahead.

Very bright telescope (aperture 50 mm) and very high magnification (42x), shortest focussing distance 0,3 m, reading of the telescope level (8“/2 mm) by optical coincidence in the telescope field of view. Micrometer with plane parallel glass plate (measuring range 5 mm; reading 0,05 mm)., Mean error per km according to DIN 18723: +/- 0,2 mm.

Regression models: Mostly the absolute distance between the forecast and the original value is calculated and afterwards either added and averaged (mean absolute error) or squared, added and averaged (mean square error).

It can be calculated by taking root-mean-square of the errors of each instrument.

In addition, the average quadratic error of the approximation can be determined and supplied.

Thus, the mean error of 0.82 pixels yields a better estimate of the positioning accuracy.

The error criterion DOP diff is determined from the mean square error for DOP=1.

By preference the root mean square error is employed as the error.

The average error is 0.03 pixel.

This way the average error of both devices could be measured.

It can be calculated by taking root-mean-square of the errors of each instrument.’;

In other words, the average errors (AE) are much smaller than the AAE.

If the calculation complexity is too great, the mean weighted error may also be determined.

The MMSE algorithm results in a minimum mean square error between the compensation signal and the interference signal at all sampling times.

In this context, either the maximum error or the (weighted) mean error may be minimized.

For example, the response functions can be superposed such that the mean root square error is minimized.

As a result of the above-described special choice (reciprocal mean) of the weighting factors, the mean error in the "good" specimens is the same over the entire image area.

The root mean square error ?XRMS (the square root of the average sum of the squares of the errors over a number of measurements) is plotted along the ordinate.

For example with a relative band width of 2 ^ (lattice constant g = 0.2 mm, diameter or length of laser beam on the object D = 5 mm), a speed of 10 m/s and a resulting frequency of 100 kHz and a measuring time of 40 ms, the average relative error isO.65 .

Fechner developed his classical psychophysical Method of average error (already in use in astronomy) in co-operation with Volkmann.

The author has given a mean quadratic error (RMS) of 0.049 g·cm?3 for 166 checked components.

Such a Q function is obtained, for instance, by minimizing the mean quadratic error of the output signal at the adaptive filter with respect to a reference signal.