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Ausgleichsrechnung Nach Der Methode Der Kleinsten Quadrate: In Ihrer Anwendung Auf Physik Maschinenbau, Elektrotechnik Und Geodäsie

Ausgleichsrechnung Nach Der Methode Der Kleinsten Quadrate: In Ihrer Anwendung Auf Physik Maschinenbau, Elektrotechnik Und Geodäsie

          
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About the Book

In der vorliegenden Arbeit habe ich mir die Aufgabe gestellt, die vielseitige Anwendungsmöglichkeit der "Ausgleichungsrechnung nach der Metbode der kleinsten Quadrate" nicht nur auf geodä- tische, sondern auch auf physikalische, mascbinenbau-und elektro- technische Messungen zu zeigen. Hinsichtlich geodätischer und phy- sikalischer Messungen ist diese Anwendungsmöglichkeit sowie die gelegentliche Notwendigkeit, die Beobachtungen korrekt auszu- gleichen, unbestritten, nicht aber auch bei technischen Messungen, deren häufig geringe Genauigkeit die Aufwendung besonderer Rechen- arbeit nicht lohnend erscheinen läßt; zudem wird vielfach ange- nommen, daß das Ziel des_ Ausgleichungsverfahrens lediglich die Ermittelung des wahrscheinlichsten Wertes aus den Beobachtungen sei, und man übersieht, daß der "mittlere Fehler", den die Rech- nung gleichzeitig ergibt, einen überaus wertvollen Anhalt zur Be- urteilung der vermutlichen Zuverlässigkeit der Einzelbeobachtung wie des errechneten wahrscheinlichsten Mittelwertes bietet. Gerade bei technischen Messungen ist die Kenntnis des vermutlichen Zu- verlässigkeitsgrades von nicht zu unterschätzendem Werte, vor allem wenn die Messungsergebnisse in irgendwelche Rechnungen eingehen oder aus ihnen Schlüsse gezogen werden sollen. Den praktischen Zwecken, denen das Buch dienen will, ent- sprechend, ist der zahlenmäßigen Rechnung ein ganz besonders breiter Raum zugestanden worden, während die Theorie leuiglich so- weit behandelt ist, als es zum -Verständnis der benutzten Formeln notwendig erschien. Immerhin dürften die den Aufgaben voran- gestellten mathematischen Ableitungen ausführlich genug sein, um auch dem Neuling auf dem Gebiete der Ausgleichungsrechnung klar zu machen, worauf es ankommt, zumal ich mich bei aller Kürze möglichster Einfachheit des Ausdruckes befleißigte.


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Product Details
  • ISBN-13: 9783663156475
  • Publisher: Vieweg+teubner Verlag
  • Binding: Paperback
  • Height: 203 mm
  • No of Pages: 79
  • Series Title: Teubners Technische Leitfäden
  • Sub Title: In Ihrer Anwendung Auf Physik Maschinenbau, Elektrotechnik Und Geodäsie
  • Width: 127 mm
  • ISBN-10: 3663156478
  • Publisher Date: 01 Jan 1923
  • Edition: 1923 ed.
  • Language: German
  • Returnable: Y
  • Spine Width: 5 mm
  • Weight: 95 gr


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Ausgleichsrechnung Nach Der Methode Der Kleinsten Quadrate: In Ihrer Anwendung Auf Physik Maschinenbau, Elektrotechnik Und Geodäsie
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Ausgleichsrechnung Nach Der Methode Der Kleinsten Quadrate: In Ihrer Anwendung Auf Physik Maschinenbau, Elektrotechnik Und Geodäsie
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