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Contents of the Theory of Errors PDF

List of 21 Theory of Errors Formulas

Mean Error given Specified Error of Single Measurement
Mean Error given Sum of Errors
Most Probable Error given Standard Deviation
Most Probable Value given Residual Error
Most Probable Value with Different Weightage
Most Probable Value with Same Weightage for Observations
Observed Value given Relative Error
Observed Value given Residual Error
Observed Value given True Error
Probable Error of Mean
Relative Error
Residual Error
Residual Variation given Most Probable Value
Standard Deviation of Weighted Observations
Standard Deviation used for Survey Errors
Standard Error of Function where variables are Subjected to Addition
Standard Error of Mean of Weighted Observations
True Error
True Error given Relative Error
True Value given True Error
Variance of Observations

Variables used in Theory of Errors PDF

  1. eA Standard Error in Function
  2. Em Error of Mean
  3. Es Specified Error of a Single Measurement
  4. ex Standard Error in x coordinate
  5. ey Standard Error in y coordinate
  6. ez Standard Error in z coordinate
  7. m Measured Value
  8. MPE Most Probable Error
  9. MPV Most Probable Value
  10. nobs Number of Observations
  11. PEm Probable Mean of Error
  12. PEs Probable Error in Single Measurement
  13. r Residual Error
  14. Rx Relative Error
  15. ƩV2 Sum of Square of Residual Variation
  16. ƩW Sum of Weightage
  17. ƩWV2 Sum of Weighted Residual Variation
  18. Ʃxi Sum of Observed Values
  19. V Residual Variation
  20. wi Weightage
  21. x Observed Value
  22. X True Value
  23. xi Measured Quantity
  24. εx True Error
  25. σ Standard Deviation
  26. σnw Standard Error of Mean
  27. σw Weighted Standard Deviation
  28. σ2 Variance
  29. ΣE Sum of Errors of Observations

Constants, Functions and Measurements used in Theory of Errors PDF

  1. Function: add, add(a1, …, an)
    Add function that involves adding two or more numbers together to get their sum.
  2. Function: sqrt, sqrt(Number)
    A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number.

Free Theory of Errors PDF

Get Free Theory of Errors PDF for Download today. Examples are included after each Formula with a link to a live Calculator! All the Formulas and Calculators support Unit Conversion as well. This PDF features 21 calculators from Civil. Inside, you'll discover a list of formulas such as Probable Error of Mean, Mean Error given Sum of Errors and 21 more formulas!. The Variables, Functions and Constants are summarized at the end. Explore and share Theory of Errors PDFs!

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