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The task of authentication is to verify the authenticity of the target object or bitstream Conventional cryptographic system provides complete veri cation such that even one bit change will give a negative outcome To provide seamless content access, transcoding is often used that preserves the content but not the bits For this kind of application it is obvious that complete veri cation cannot provide suf cient authentication capability Furthermore, with error-prone communication for real-time and streaming media applications where transmission time is critical, retransmission for error-free deployment is impossible Content or semantic veri cation with error recovery ability improves means for moderate security for such applications in mobile communication First, features C f (O), which are important to preserve the original content information, are extracted from the original multimedia bitstream.

Next, C is authenticated using secure cryptographic algorithms, D EncK (h) EncK (H(C)) to generate a digital signature D with key K If D is used for authentication, content veri cation.

with eigenvalues A1(B):::; :::; An(B):

Patients with less than 80% adherence faired even worse, with only 20% of those patients avoiding drug failure Moreover, patients with adherence of 95% or greater had fewer days in the hospital than those with less than 95% adherence, and experienced no opportunistic infections or deaths These dramatic ndings are particularly noteworthy given that in other areas of medicine, acceptable adherence levels are often considered to be in the 80% to 90% range (Haynes, McKibbon, & Kanani, 1996), and underscore the long-term self-management challenges faced by HIV-positive patients The unforgiving nature of combination therapy treatments suggests that many patients who initiate combination therapies have a time-limited opportunity to succeed with treatment Even brief drug holidays can lead to rapid viral replication, drug resistance, and (ultimately) failure to respond to other combination therapies.

The GPS is based on a three-segment architecture (Fig. 3.6): the ground segment, the space segment, and the user segment. As their names suggest, the ground segment is the part of the system that allows the monitoring, upload, and/or update of the system, and is currently completely based on Earth stations (in the GPS III evolution, scheduled for 2013 onwards, there are plans to implement a spatial version of the ground segment too). The space segment is made up of the satellites. The user segment is composed of all the possible receivers. The fundamental feature of the system, as was also the case with TRANSIT, PARUS, and TSIKADA, is the unidirectional link between the space segment and the user segment, making it impossible to saturate the system; that is, there can be as many receivers as one wants. In addition, this feature also allows receivers to be undetectable, which is very important for military applications. Of course, a link exists between the ground segment and the satellites. This is shown graphically in Fig. 3.7. One has to note that the two other constellations, GLONASS and Galileo, also use this principle of operation. The nominal constellation (Fig. 3.8) is made up of 24 satellites, orbiting in quasicircular orbits, tilted at 558 from the equatorial plane. Six such orbital planes are used, each having four satellites (non-uniformly distributed, because the coverage had to be better for northern areas for military purposes). The altitude of the satellites is around 20,200 km (with an orbital radius of approximately 26,600 km), and the revolution

components, so that the working data set now consists of n records on k components rather than n records on m variables. Suppose that the original variables X 1 , X 2 , . . . , X m form a coordinate system in m-dimensional space. The principal components represent a new coordinate system, found by rotating the original system along the directions of maximum variability. When preparing to perform data reduction, the analyst should rst standardize the data so that the mean for each variable is zero and the standard deviation is 1. Let each variable X i represent an n 1 vector, where n is the number of records. Then represent the standardized variable as the n 1 vector Z i , where Z i = (X i i )/ ii , i is the mean of X i , and ii is the standard deviation of X i . In matrix notation, 1 this standardization is expressed as Z = V1/2 (X ), where the 1 exponent refers to the matrix inverse, and V1/2 is a diagonal matrix (nonzero entries only on the diagonal), the m m standard deviation matrix: 11 0 = . . . 0 Let 0 22 . . . 0 .. . 0 0 . . . pp

The doubling rate is the maximum asymptotic exponent in the growth of wealth. The doubling rate has a number of properties that parallel the properties of entropy. We explore some of these properties in 16.