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where brackets denote the expectation, wi A; f is the fade factor for each ith -path component, and Df g denotes the variance. The received signal envelope is given by r p x2 y2 14:22

u 1.11 0 0.04 0.21 0.32 0.44 0.90 0.94 0.95 0.98 1.18 1.34 1.57 1.82 2.08 2.18 2.34 2.46 2.51 2.60 4.05 5.20

It is well known [20] that for in nite n the signal components, x and y, are distributed according to Gaussian law with means a and b and with variances S1 and S2 , respectively. Thus, the PDF of signal envelope r will equal r S1 r 2 S2 a2 S1 b2 pr r p exp 2S1 S2 S1 S2 1 2p

v 2.00 0 0.03 0.19 0.34 1.56 1.16 0.30 0.39 0.32 0.29 0.24 1.23 0.07 0.44 1.44 0.16 0.54 0.83 0.42 0.56 1.22

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Data from Jenkins and Jenkins [1999].

2p 0

Appropriate manipulation of Eqs. 6-60 and 6-62 gives alternate expressions for the two monomer reactivity ratios

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transform the raw data into a completely different object type The next few sections step through some examples of setting up data binding for complex types to help illustrate how this all works The code for the next few sections is contained in the sample application ComplexTypeBinding in the download code

! 14:23

log r12 log r1S rS2 flog rAS rS2 =rA2 gflog rSA r1S =r1A g log rAS rSA flog rAS rS1 =rA1 gflog rSA r2S =r2A g log rAS rSA 6-64

6-65

The conclusion is that the received signal from a satellite can be treated as a product of two independent processes: R t L t S t 14:24

TO SET UP data binding in a Windows Forms application, you need a data source A data source is an in-memory object that is typically a container for a collection of other objects, or it may be a single instance of an object itself One of the most common and easiest ways to set up data binding is to use data sets (instances of the DataSet class or a derived typed data set class) This chapter briefly introduces what data sets are and how they work as a review for those who have not worked with them It then dives right into the new features for creating and working with typed data sets in NET Framework 20 to create a data access layer for your application using mostly designer features

which allow calculation of monomer reactivity ratios for the copolymerization of a pair of monomers from monomer reactivity ratios for each of those monomers copolymerizing separately with styrene and with acrylonitrile and from the monomer reactivity ratios for styrene acrylonitrile copolymerization. The patterns of reactivity parameters, like the Q e parameters, can be used to analyze reactivity in both copolymerization and homopolymerization. Look at the data in Table 6-4 and compare with the parameters in Table 6-8. The highly reactive radicals are those with lower values of r1S . The highly reactive monomers are those with the more positive or less negative values of v. However, v is not the only consideration, polarity is also important. For example, maleic anhydride is a monomer with one of the most positive v values, but it undergoes facile copolymerization only with monomers with which it has a polarity difference. This is the alternation tendency and is given by

where R t is the received signal, L t is the large-scale fading that characterizes the signal attenuation over large transmitter receiver separation distance, and S t is the small-scale fading that characterizes the rapid uctuations of the received signal over short time duration. Large-scale fading is lognormal distributed with PDF: " # 1 1 ln l m 2 pl l p exp 2 s 2psl 14:25

log r12 r21 u1 u2 p1 p2 6-66

The alternation tendency is dependent only on the polarity parameters for the monomers and radicals. The patterns of reactivity scheme has also been extended to chain transfer constants. 6-3b-6 Other Quantitative Approaches to Reactivity

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where m and s2 are the mean and variance of the associated Gaussian variable. The general PDF of a received signal envelope in the mobile-satellite communication systems: p r

Linear-free-energy relationships such as the Hammett and Taft equations [Lowry and Richardson, 1987] have been used to correlate copolymerization behavior with structure, but the approach is limited to considering a series of monomers that are similar in structure. Walling [1957] applied the Hammett equation to copolymerization among various meta- and para-substituted styrenes. The Taft equation in the form

1 0

1 log s* r* dES r1 6-67

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