Fehlerrechnung
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(Multiplikation) |
Current revision (07:38, 13 January 2012) (view source) |
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|<math>s = \sqrt{\frac 1{n-1} \cdot \sum_{i=1}^n{\left(x_i - \bar x\right)^2}}</math> | |<math>s = \sqrt{\frac 1{n-1} \cdot \sum_{i=1}^n{\left(x_i - \bar x\right)^2}}</math> | ||
- | |mittlerer quadratischer Fehler, Standardabweichung | + | |mittlerer quadratischer Fehler, Standardabweichung [http://www.diamondlinks.net link building service] [http://www.mesotheliomaresourceonline.com Mesothelioma Cancer] |
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|<math>s_r = \frac s {\bar x}</math> | |<math>s_r = \frac s {\bar x}</math> | ||
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|<math>\left|\Delta y\right| = \left|\Delta x_1\right| + \left|\Delta x_2\right|</math> | |<math>\left|\Delta y\right| = \left|\Delta x_1\right| + \left|\Delta x_2\right|</math> | ||
- | |Fehlerfortpflanzung bei Summenbildung | + | |Fehlerfortpflanzung bei Summenbildung von <math>x_1</math> und <math>x_2</math> |
|<math>\bar y = \bar x_1 + \bar x_2</math> | |<math>\bar y = \bar x_1 + \bar x_2</math> | ||
- | |<math>\bar y \pm \left|\Delta y\right| = \left(\bar x_1 \pm \left|\Delta x_1\right|\right) + \left(\bar x_2 \pm \left|\Delta x_2\right|\right)</math> | + | |<math>\bar y \pm \left|\Delta y\right| = \left(\bar x_1 \pm \left|\Delta x_1\right|\right) + \left(\bar x_2 \pm \left|\Delta x_2\right|\right)</math> [http://blog.badcreditwhiz.com Bad Credit] |
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|<math>\left|\Delta y\right| = \left|\Delta x_1\right| + \left|\Delta x_2\right|</math> | |<math>\left|\Delta y\right| = \left|\Delta x_1\right| + \left|\Delta x_2\right|</math> | ||
- | |Fehlerfortpflanzung bei Differenzbildung (identisch) | + | |Fehlerfortpflanzung bei Differenzbildung (identisch zur Addition) |
|<math>\bar y = \bar x_1 - \bar x_2</math> | |<math>\bar y = \bar x_1 - \bar x_2</math> | ||
- | |<math>\bar y \pm \left|\Delta y\right| = \left(\bar x_1 \pm \left|\Delta x_1\right|\right) - \left(\bar x_2 \pm \left|\Delta x_2\right|\right)</math> | + | |<math>\bar y \pm \left|\Delta y\right| = \left(\bar x_1 \pm \left|\Delta x_1\right|\right) - \left(\bar x_2 \pm \left|\Delta x_2\right|\right)</math> [http://www.facebook.com/peoplewithbadcredit People With Bad Credit] |
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|<math>\left|\frac{\Delta y}{\bar y}\right| = \left|\frac{\Delta x_1}{\bar x_1}\right| + \left|\frac{\Delta x_2}{\bar x_2}\right|</math> | |<math>\left|\frac{\Delta y}{\bar y}\right| = \left|\frac{\Delta x_1}{\bar x_1}\right| + \left|\frac{\Delta x_2}{\bar x_2}\right|</math> | ||
- | |Fehlerfortpflanzung bei Produktbildung | + | |Fehlerfortpflanzung bei Produktbildung von <math>x_1</math> und <math>x_2</math> |
|<math>\bar y = \bar x_1 \cdot \bar x_2</math> | |<math>\bar y = \bar x_1 \cdot \bar x_2</math> | ||
|<math>\bar y \pm \left|\Delta y\right| = \left(\bar x_1 \pm \left|\Delta x_1\right|\right) \cdot \left(\bar x_2 \pm \left|\Delta x_2\right|\right)</math> | |<math>\bar y \pm \left|\Delta y\right| = \left(\bar x_1 \pm \left|\Delta x_1\right|\right) \cdot \left(\bar x_2 \pm \left|\Delta x_2\right|\right)</math> | ||
- | |} | + | |- |
+ | |<math>\left|\frac{\Delta y}{\bar y}\right| = \left|\frac{\Delta x_1}{\bar x_1}\right| + \left|\frac{\Delta x_2}{\bar x_2}\right|</math> | ||
+ | |Fehlerfortpflanzung bei Division (identisch zur Multiplikation) | ||
+ | |<math>\bar y = \frac{\bar x_1}{\bar x_2}</math> | ||
+ | |<math>\bar y \pm \left|\Delta y\right| = \frac{\bar x_1 \pm \left|\Delta x_1\right|} {\bar x_2 \pm \left|\Delta x_2\right|}</math> | ||
+ | |- | ||
+ | |<math>\left|\frac{\Delta y}{\bar y}\right| = \left|n\right| \cdot \left|\frac{\Delta x_1}{\bar x_1}\right|</math> | ||
+ | |Fehlerfortpflanzung bei Potenzierug | ||
+ | |<math>\bar y = {x_1}^n</math> | ||
+ | |<math>\bar y \pm \left|\Delta y\right| = \left(\bar x_1 \pm \left|\Delta x_1\right|\right)^n</math> | ||
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Current revision
Fehler | |||
absoluter Fehler | |||
relativer Fehler | |||
Mittelwert | |||
mittlerer quadratischer Fehler, Standardabweichung link building service Mesothelioma Cancer | |||
relative Standardabweichung | |||
Vertrauensbereich des Mittelwertes | |||
allgemeine Angabe eines Meßergebnisses | |||
absolute Angabe eines Meßergebnisses | |||
Angabe mit relativem Vertrauensbereich | |||
Angabe mit prozentualem Vertrauensbereich | |||
Fehlerfortpflanzung bei Summenbildung von und | Bad Credit | ||
Fehlerfortpflanzung bei Differenzbildung (identisch zur Addition) | People With Bad Credit | ||
Fehlerfortpflanzung bei Produktbildung von und | |||
Fehlerfortpflanzung bei Division (identisch zur Multiplikation) | |||
Fehlerfortpflanzung bei Potenzierug |
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