lect10 - UCF Physics: AST 5765/4762: (Advanced)...

This preview shows pages 1–2. Sign up to view the full content.

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: UCF Physics: AST 5765/4762: (Advanced) Astronomical Data Analysis Fall 2009 Lecture Notes: 10. Error Propagation; Fitting 1 Check In: 10:30 10:35:, 5 min Questions before we start? 2 Go over HW3: 10:35 10:55, 20 min 3 Error in Addition: 10:55 11:00, 5 min This is important enough to memorize: spending extra class time on it! For addition, f = u + v , and all the partial derivatives are 1, so: 2 f 2 u + 2 v ... (+2 2 uv ... ) (1) Add in quadrature What is it for subtraction? Same, since the -1 in the partial derivative squares to 1. What if its just f = u + a , with constant a ? Same as if v = 0 : 2 f 2 u (2) f u (3) 4 Error in Multiplication: 11:00 11:05, 5 min For multiplication, f = uv : 2 f v 2 2 u + u 2 2 v ... (+2 uv 2 uv ... ) (4) since f = uv , 2 f f 2 2 u u 2 + 2 v v 2 ... (+2 2 uv uv ... ) (5) How about multiplication by a constant, f = au ? Then v = a and v = 0 2 f a 2 2 u (6) f a u (7) How about division, f = au/v ? Then v = v 1 , and theres a -1 in front of f v . It gets squared to 1 in the straight term but not in the cross term:...
View Full Document

lect10 - UCF Physics: AST 5765/4762: (Advanced)...

This preview shows document pages 1 - 2. Sign up to view the full document.

View Full Document
Ask a homework question - tutors are online