Find Docs

Astronomical Applications Department, U.S. Naval Observatory - Sensitivity Integral (Page 10)

Wodocs >> Science : Astronomy >> Astronomical Applications Department, U.S. Naval Observatory Sensitivity Integral Page 10
Astronomical Applications Department, U.S. Naval Observatory - Sensitivity Integral
1
2
1
8
(
)
sin 2 r g x
r g
1
4
(
)
sin 2 s x
s
1
16
(
)
sin (
)
+
2 s
2 r x
+
s
r
1
16
(
)
sin (
)
-
2 s
2 r x
-
s
r
-
-
+
+


-
1
16
(
)
sin (
)
+
2 s
2 r g x
+
s
r g
1
8
(
)
sin 2 r x
r
1
4
(
)
sin (
)
- +
2 s
r
r g x
- +
2 s
r
r g
1
4
(
)
sin (
)
+ -
2 s
r
r g x
+ -
2 s
r
r g
+
-
+
+
1
4
(
)
sin (
)
+ +
2 s
r
r g x
+ +
2 s
r
r g
1
4
(
)
sin (
)
- -
2 s
r
r g x
- -
2 s
r
r g
1
16
(
)
sin (
)
-
2 s
2 r g x
-
s
r g
1
2
(
)
sin (
)
+
r
r g x
r (
)
+
1
g
-
-
+
+
1
2
(
)
sin (
)
- +
r
r g x
r (
)
- +
1
g
1
2
x
-
+


(
)
+
+ +
2 x a
2
3 x
2
a
3
a
1
4 x
3
a
4
x
d
(
)
ugh %
ugh[0]: polynomial factor p:
+
+ +
2 x a
2
3 x
2
a
3
a
1
4 x
3
a
4
ugh[0]: location of p in integrand:
[ ]
2
ugh[0]: integrating by parts...
ugh[2]: cost of evaluated part of integral:
+
+
+
+
2697 additions
13778 multiplications
690 divisions
728 functions
774 subscripts
ugh[2]: simplifying...
ugh[6]: cost of evaluated part of integral:
+
+
+
+
174 additions
466 multiplications
32 divisions
26 functions
244 subscripts
ugh[6]: evaluated part of integral is stored in parts[1]
ugh[6]: new polynomial factor p:
+
+
2 a
2
6 x a
3
12 x
2
a
4
ugh[6]: location of p in integrand:
[ ]
2
ugh[6]: full non-sin/cos term:
1
16
+
+
2 a
2
6 x a
3
12 x
2
a
4
r g s (
)
+
s
r (
)
-
s
r (
)
+
s
r g (
)
- +
2 s
r
r g (
)
+ -
2 s
r
r g
(
)
/
(
-
(
)
+ +
2 s
r
r g (
)
- -
2 s
r
r g (
)
-
s
r g (
)
+
1
g (
)
- +
1
g )
ugh[7]: cost of new integrand:
+
+
+
+
1347 additions
6886 multiplications
345 divisions
364 functions
3 subscripts
ugh[7]: simplifying sin/cos part of new integrand...
ugh[8]: cost of simplified new integrand:
+
+
+
+
43 additions
85 multiplications
16 divisions
13 functions
3 subscripts
ugh[8]: new definite integral:
Page 10

<< Previous       1 .. 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17       Next >>



Other Documents:
3 D plot fits, lyap2, NAO 150, Rotate Vector, lyapcalc, wedges, Scifull, Precession Memo, Precession Maple, Curves 3 D, NOVAS 2004 Overview, NOVAS 2006 Overview, thesis, Ranson,


WODocs | |
All rights reserved. wodocs.comę 2009
WODocs


New Docs

Documents Category:
Arts (Design, Movies, Music, Radio, Television)
Automotive (Cars, Marine, Motorcycle, ATV, Snowmobiles)
Business (Biotechnology and Pharmaceuticals, Chemicals, Construction and Maintenance, Materials, Real Estate, Services)
Electronics (Computers, Motion Control, Power Supply)
Games (Board, Family, Party, Card, Construction, RC Toys)
Health (Animalm, Beauty, Healthcare, Medicine, Pharmacy, Surgery, Weight Loss)
Home (Accessories, Cooking, Decor and Design, Electrical, Family, Pets)
News (Newspapers, Sports, Television)
Recreation (Collecting, Hiking, Scouting, Survival, Travel)
Reference (Education, Libraries and Archives, Museums)
Science (Agriculture, Astronomy, Biology, Chemistry)
Shopping (Antiques and Collectibles, Clothing, Flowers, Food, Home and Garden)
Sports (Bicycle, Snowboard, Skiing, Other)