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(1986) Detachment faulting and the evolution of passive continental margins Geology 14, 246 50 Lithgow-Bertelloni, C & Silver, PG(1998) Dynamic topography, plate driving forces and the Africal superswell Nature 395, 269 72 Little, TA, Holcombe, RJ & Ilg, BR (2002) Kinematics of oblique collision and ramping inferred from microstructures and strain in middle crustal rocks, central Southern Alps, New Zealand J struct Geol 24, 219 39 Liu, M & Yang, Y (2003) Extensional collapse of the Tibetan Plateau: results of three-dimensional nite element modelling J geophys Res 108, 2361, doi:101029/2002JB002248 Livermore, R, Vine, FJ & Smith, AG (1984) Plate motions and the geomagnetic eld II Jurassic to Tertiary Geophys J Roy astr Soc 79, 939 61 Livermore, R et al (2004) Shackleton fracture zone: no barrier to early circumpolar ocean circulation Geology 32, 797 800 Lottes, AL.

developed in the previous section. Additional code has been added only to display the values generated and rocessed. To simplify thedisplayandthepipe ~plementations, end-of-stresignalis the an integer value doesoccur set that not in the of generat obvious to e values the class, to be -1. use are 0, 1, -1 or MAXI-1. Inapplet defined

Therefore, we set stringent performance objectives, say 100 ms, for use cases 1 and 2 Use case 3 is somewhat more complex and requires better de nition and potentially several performance objectives While this operation can be seen as operating on a set, it can easily be reduced to absolute limits The key to such reduction is the fact that the listing of entries is a linear operation the set is created once when the query is executed and subsequent work simply traverses this set Therefore, the rst objective (use case 31) may be the time to populate the rst page of the list Given that this is a start-up operation, where we need to execute the query and retrieve several records, we can set the performance objective to 500 ms A further objective (use case 32) may be a time limit for scrolling down 100 contacts.

& Rowley, DB (1990) Early and Late Permian reconstructions of Pangaea In McKerrow, WS & Scotese, CR (eds) Paleozoic Paleogeography and Biogeography Geol Soc Lond Mem 12, 383 95 Louden, KE & Chian, D (1999) The deep structure of nonvolcanic rifted continental margins Phil Trans Roy Soc Lond A 357, 767 805..

SECTION 9.7. Gradient of a Scalar Field. Directional Derivative, page 403 Purpose. To discuss gradients and their role in connection with directional derivatives, surface normals, and the generation of vector fields from scalar fields (potentials). Main Content, Important Concepts Gradient, nabla operator Directional derivative, maximum increase, surface normal Vector fields as gradients of potentials Laplace s equation Comments on Content This is probably the first section in which one should no longer rely on knowledge from calculus, although relatively elementary calculus books usually include a passage on gradients. Potentials are important; they will occur at a number of places in our further work. SOLUTIONS TO PROBLEM SET 9.7, page 409

with chickpeas; followed by ice cream or yogurt and a large glass of skim milk The possibilities are endless One must only be sure to get enough protein and calcium Remember that the protein in meats, poultry, fish, egg whites, and milk products is a much more complete protein than that in legumes, grains, and vegetables Still, people with Parkinson s need the fiber contained in legumes, grains, and vegetables They can plan to include legumes and grains along with an animal source of protein Note that if legumes and whole grains are taken together, they will provide some complete protein: the amino acids not supplied by the legumes are supplied by the grains Because almost all dietary calcium comes from milk, cheese, and other high-protein foods, the dieter must be sure to get them at the evening meal and the bedtime snack.

where &(x) = (x - Xi) and &(X) is a polynomial that interpolates (at least) the first k points, P ( x i ) = y i , i = 1,2, . . . , k. As with the Berlekamp-Massey algorithm, the Welch-Berlekamp algorithm propagates two solutions, using one of them in the update of the other. For the Welch-Berlekamp algorithm, the two sets of solution maintain the property that they are complements of each other, as defined here.