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In this section, GDOP will be de ned in a reverse direction, as compared to 2, Section 2.5.2, and 7, Section 7.8, respectively. There is only one satellite and multiple ground stations. GDOP will be calculated to determine the optimal locations of the ground stations with respect to xed satellites, such as GEOs [AORW, POR, Atlantic Ocean Region East (AOR-E), Indian Ocean East (IOP), Multifunctional Transport Satellite (MTSAT)]. The static geometry of the relation between the GEO and the ground stations is characterized by treating the GEO as a ranging signal source with respect to a network of synchronized ground stations. The states of the GEO are position x; y; z and clock offset ct, where c is the speed of light. A least-squares estimate from the linearized pseudorange differential is developed to obtain the GDOP (geometric dilution of precision). Also introduced are the PDOP (position dilution of precision), TDOP (time dilution of precision), VDOP (vertical dilution of precision), and HDOP (horizontal dilution of precision). Some results relating the behavior of these DOPs with respect to various ground geometries are then presented. The equation for the pseudorange for each station is ri q xi X 2 yi Y 2 zi Z 2 Cb :

Tyree, M T, K J Kolb, S B Rood, and S Pati o 1994 Vulnerability to droughtinduced cavitation of riparian cottonwoods in Alberta: A possible factor in the decline of the ecosystem Tree Physiology 14:455 466 US Department of the Interior 1994 Endangered and threatened wildlife and plants: Final rule to list the Rio Grande silvery minnow as an endangered species Federal Register 59:36988 36995 US Department of the Interior 1999 Endangered and threatened wildlife and plants: Final designation of critical habitat for the Rio Grande silvery minnow Federal Register 64:36274 36290 US Fish and Wildlife Service 1999 Rio Grande Silvery Minnow Recovery Plan Albuquerque, NM US Geological Survey 2000 Rio Grande and Albuquerque, NM http:// waterdatausgsgov/nwis-w/NM/indexcgi statnum=0830000 United States Geological Survey, Albuquerque Van Cleave, M 1935 Vegetative changes in the Middle Rio Grande Conservancy District.

1 2 3 4 yt = xt + xt + xt + xt , 1 0 1 0 ct+1 = (ct+1 , ct+1 ) = (st+1 , st+1 ) T1 (ct ) T2 (ct 1 ).

conomics is all about humanity s struggle to achieve happiness in a world full of constraints. Too little time and money is available to do everything people want. And things like curing cancer are still impossible because the necessary technologies haven t yet been developed. But people are clever. They tinker and invent, ponder and innovate. They look at what they have and what they can do with it and take steps to make sure that if they can t have everything, they at least have as much as possible. Making trade-offs is key. Because you can t have everything, you have to make choices. For example, you have to choose whether to save or spend, whether to stay in school or get a job, and whether the government should spend more money on primary education or on cancer research. Choice is a fundamental part of everyday life. The science that studies how people choose economics is indispensable if you really want to understand human beings both as individuals and as members of larger organisations. Sadly, though, economics has typically been explained so badly that people dismiss it as impenetrable gobbledygook or stand falsely in awe of it after all, if economics is hard to understand, it must be important, right We wrote this book so that you can quickly and easily understand economics for what it is a serious science that studies a serious subject and has developed some seriously effective ways of explaining human behaviour out in the (very serious) real world. Read this book to understand more about people, government, international relations, business, and even environmental issues such as global warming and endangered species. Economics touches on nearly everything, so the returns on reading this book are huge.

Master s thesis, University of New Mexico, Albuquerque Walker, K F, F Sheldon, and J T Puckridge 1995 A perspective on dryland river ecosystems Regulated Rivers: Research & Management 11:85 104 Waring, G L, and N S Cobb 1992 The impact of plant stress on herbivore population dynamics In Insect-Plant Interactions, vol 4, ed by L Bernays, pp 167 226 Academic Press, New York Webster, J R, and E F Ben eld 1986 Vascular plant breakdown in freshwater ecosystems Annual Review of Ecology and Systematics 17:567 594 Whelan, R J 1995 The Ecology of Fire Cambridge University Press, New York Wilson, R 1970 Succession in stands of Populus deltoides along the Missouri River in southwestern South Dakota American Midland Naturalist 83: 330 342 Wozniak, F E 1996 Human impacts on riparian ecosystems of the Middle Rio Grande Valley during historic times.

When the input feature is numerical, the p-fuzzy sets are used whose one-dimensional form with range [0,1] is as follows [equation (2.9)]: 8 2 > > 2 1 k Fj c k > for l k Fj c k l > 2 > l > < 2 3:34 p Fj ; c; l > 1 2 k Fj c k > for 0 k Fj c k l > 2 > l > > : 0 otherwise where l > 0 is the radius of the p-function with c as the central point. Note that features in linguistic and set forms can also be handled in this framework [42]. Output Representation Consider an l-class problem domain. The membership of the ith pattern in class k, lying in the range [0,1], is de ned as [23] e mik ^i 1 1 wik =fd fe 3:35