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in which the i are the load factors and is the resistance factor. Note, this case of multiple load variables and a single resistance variable is strongly in uenced by structural (as opposed to, geotechnical) reliability considerations, in which the uncertainties of load conditions dominate those of resistance. As the practice of geotechnical reliability continues to evolve, it is likely that geotechnical applications of LRFD will begin to differentiate resistance factors, while consolidating the multiplicity of load factors. This would be in line with Taylor s early work on separating partial safety factors for cohesion and friction components of soil strength (Taylor 1948). For the present, however, load factors for superstructure design, for practical purposes, need to harmonized with load factors for foundation design, and thus the formulation of Equations (18.22) and (18.23) remains.

The Secure Audio Path Model attempts to control the flow of copyrighted, unencrypted audio within Windows. The problem is that anyone can write a simulated audio device driver that would just steal the decrypted content while the media playback software is sending it to the sound card. The Secure Audio Path ensures that the copyrighted audio remains in the kernel and is only transmitted to audio drivers that were signed by a trusted authority.

Watermarking is the process of adding an additional channel of imperceptible data alongside a visible stream of data. Think of an image or audio file. A watermark is an invisible (or inaudible in the case of audio) data stream that is

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Studies by a number of workers suggest ASD methods for foundation design result in nominal probabilities of failure that range from 0.0001 to 0.01 (Meyerhof 1994). These correspond to reliability indices that range from 2.5 to 3.5 (Table 18.4). In modern foundation codes, target reliability indices ranging from 2.0 to 3.0 are common, the former for cases of non-essential designs with high redundancy, the latter for critical designs with little redundancy. Unlike the case of a unique site and facility with a known loss function

9

Table 18.4 Relationship between probability of failure and reliability index for lognormal distribution (after Withiam et al. 1998) Probability of failure, pf Reliability index, 2.5 3.0 3.5 4.0 4.5 5.0 5.5 Normal distribution 6.21 10 3 1.35 10 3 2.33 10 4 3.17 10 5 3.40 10 6 2.87 10 7 2.90 10 8 logNormal distribution 0.99 10 2 1.15 10 3 1.34 10 4 1.56 10 5 1.82 10 6 2.12 10 7 2.46 10 8

hidden within the file. The means for extracting the information from the data is usually kept secret (actually, the very existence of the watermark is typically kept secret). The basic properties of a good watermarking scheme are:

Recall is when one or more identi ed boats are recalled to the starting area (individual recall) or when a race is restarted (general recall) Reps is short for repetitions the number of times you repeat an exercise in the gym..

The watermark is difficult to remove. The problem is that once attackers locate a watermark it is always possible to eliminate it from the data (see Protecting Digital Media Content by Nasir Memon and Ping Wah Wong [Memon]). It contains as much information as possible. It is imperceptible; it does not affect the visible aspect of the data stream. It is difficult to detect. It is encrypted. it makes sense to encrypt watermarked data so that it is unreadable if discovered. It is robust the watermark must be able to survive transfers and modifications of the carrier signal such as compression, or other types of processing.

for failures, a code must be developed for a broad spectrum of potential conditions, and thus the optimization of reliability level against cost is more qualitative. As an approximation, the relationship between probability of failure and reliability index for Normal variables is often taken from Rosenblueth and Esteva (1972) as pf = 460e( 4.3 ) for 2 6 ln = 460 pf 4.3 for 10 1 pf 10 9 (18.24)

Let s take a look at some of the applications of Watermarking:

Enabling authors to embed identifying information in their intellectual property. Identifying the specific owner of an individual copy (for tracing the flow of illegal copies) by using a watermarked fingerprint. Identifying the original, unmodified data through a validation mark.

(18.25)

Research has also been made on software watermarking, whereby a program s binary is modified in a way that doesn t affect its functionality but allows for a hidden data storage channel within the binary code (see A Functional Taxonomy for Software Watermarking by J. Nagra, C. Thomboroson, and C. Colberg [Nagra]). The applications are similar to those of conventional media content watermarks.

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