Fehlerrechnung
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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> | ||
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|<math>s_r = \frac s {\bar x}</math> | |<math>s_r = \frac s {\bar x}</math> | ||
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|Fehlerfortpflanzung bei Summenbildung von <math>x_1</math> und <math>x_2</math> | |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 zur Addition) | |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> | ||
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|<math>\bar y = {x_1}^n</math> | |<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> | |<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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[[category:Physik]] | [[category:Physik]] | ||
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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 | |||
| Fehlerfortpflanzung bei Differenzbildung (identisch zur Addition) | |||
| Fehlerfortpflanzung bei Produktbildung von | |||
| Fehlerfortpflanzung bei Division (identisch zur Multiplikation) | |||
| Fehlerfortpflanzung bei Potenzierug |
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