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Circuit-breakers CB1 and CB2 are fitted with directional overcurrent protection devices, whereas CB3 and CB4 are fitted with phase overcurrent protection devices. For a fault at A: the short-circuit currents I sc1 and I sc 2 are established simultaneously; the directional protection at CB2 is not activated because a current circulating in the opposite direction to its protection detection flows through it; the directional protection at CB1 is activated because a current circulating in the same direction as its protection detection flows through it. This causes the circuit-breaker CB1 to be tripped and the current I sc2 is interrupted. An intertripping system causes CB3 to open and the current I sc1 is interrupted; the protection at CB4 is no longer activated. The selectivity between the directional protection at CB1 and the protection at CB4 is time-graded. Similarly, the selectivity between the directional protection at CB2 and the protection at CB3 is time-graded. For further details about the protection of a network with two parallel incoming feeders, see section 10.1.5.

These simulations require a number of pseudo-random numbers to be generated, on the order of the number of simulations requested times the number of precincts in the analysis In addition, Gauss s CML solver may make use of pseudorandom numbers to add randomness to the search algorithm At the time of the analysis, Gauss s PRNG failed a number of diagnostic tests for randomness Subsequently, a new version of Gauss was released that addressed all the failures we noted (Altman and McDonald 2001) King s example cases require hundreds of thousands of random numbers to produce nal estimates, which far exceeds the maximum suggested for Gauss s updated PRNG To test if these theoretical failings had an observable effect, EI was recon gured here to use a better generator, Marsaglia and Zaman (1993) KISS generator, and then replicated King s results using this new generator.

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These policies represent different trade-offs between openness and control. To simplify,5 we could say that different stakeholders have different interests. Developers would like to minimize the barriers to getting their applications written and distributed. Users would like some assurance that the applications they install are reliable. Network operators and device manufacturers want stable devices so as to minimize their support costs and do not always trust users to make good security decisions or even, where applications such as DRM are concerned, to cooperate. The approach taken by Symbian can be seen as a compromise in which: applications using only APIs which require no capabilities do not need to be trusted (open) untrusted applications which require capabilities from a speci c subset may be installed if the user agrees (discretionary ) applications which require capabilities outside that set must be trusted (controlled ). The controlled set is further subdivided, with more onerous veri cation requirements being imposed for capabilities considered especially powerful or sensitive, such as DRM, AllFiles and TCB. In theory at least, no capabilities are closed to third parties, although the most sensitive system capabilities (such as DRM and TCB) may be hard to acquire. The certi cation options outlined here are subject to change in the future, although the underlying principles are likely to stay the same.

These results are presented in the fourth column of Table 72 The table reports some good news: The change of generators had no discernible effect on the estimates (except for FULTON, which apparently is a consequence of the search algorithm settling on a local optima), despite Gauss s poor native PRNG 734 Platform and Version Sensitivity At the time of writing, the most recent versions of EI and EzI were used We also obtained the original version of King s EI program, which was used to produce the results in his book, and to replicate, as far as possible, the original computing environment, although the exact version of Gauss used by King is no longer available We tested the sensitivity of the results to version and platform by replicating King s original analysis on these different versions and platforms.

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