An Introduction To Error Analysis Taylor Download
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An Introduction to Error Analysis, Taylor, 2ed Embed An Introduction to Error Analysis, Taylor, 2ed size(px) 750x600 750x500 600x500 600x400 start on 1 Link An Introduction to Error Analysis, Taylor, 2ed by themohahah on Nov 08, 2014 Report http://docslide.us/documents/an-introduction-to-error-analysis-taylor-2ed.html Category: Documents Download: 55 Comment: 0 159 views Comments Description Download An Introduction to Error Analysis, Taylor, 2ed Transcript Principal Formulas in Part I Notation (Chapter 2) (Measured value of x) where x best best estimate for x. uncertainty or error in the measurement. X best ± ax. (p. 13) ax . I . FractlOna uncertamty = ax -I-I' xbest (p. 28) Propagation of Uncertainties (Chapter 3) If various error analysis quantities x. .... w are measured with small uncertainties ax•. . . . aw, and the measured values are used to calculate some quantity q, then the uncertainties in x, . . . , w cause an uncertainty in q as follows: If q is the sum and difference, q = x + ... + z - (u + .. . + w), then ;./(&)2 + .. . + to error analysis (Sz)2 + (au? + .. for independent random errors; ~ . + (aw? ax+···+az+au+·· ·+ aw always. (p. 60) If q is the product and quotient. q = x X ... X z , then u X ... X w l(aX)2 + . . . +~ (Sz)2 +-; (8U)2 + ... +-; (8W)2 \j-; 8q for independent random errors; jqf & 8z au 8w ~ ~+ "'+~+M+"'+j;f always. (p. 61) If q = Bx. where B is known exactly, then 8q = IBI&· (p. 54) If q is a function of one variable, q(x). then (p. 65) If q is a power, q = X', then Inl-· Ixl & (p. 66) If q is any function of several variables x, ... , z. then (p. 75) 5q = q 8x)2 + . . . + (a q 8Z)2 a (ax az . (for independent random errors). Statistical Definitions (Chapter 4) If x I' ...• x N denote N separate measurements of one quantity x, then we define: _ X 1 N . = '" NL.. ;= 1 x·I = mean·' (p. 98) ux = U 'VN - 1 = 1_1_ L(x; ~ = x)2 = standard deviation, or SD (p. 100) (p. 102) x stan