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Lavas and dikes are predicted to rotate towards the ridge crest as they move away from the zone of extrusion as a result of isostatic adjustment (Fig 617) They also undergo metamorphism near the ridge axis as they equilibrate at high temperatures in the presence of seawater This model for the origin of layer 2 has received striking con rmation from studies of sections through the upper crust revealed by major fault scarps and drill core from DSDP/ODP drill hole 504B, all in fast-spreading Paci c crust (Karson, 2002) (Section 69) Furthermore the model predicts that beneath the axial high the extrusive layer should be very thin and the dikes correspondingly closer to the sea oor (Fig 617) This is con rmed by seismic studies that reveal a narrow central band of high seismic velocities beneath the axial high (Toomey et al, 1990; Caress et al.

The input sequence thus has infinite Hamming weight. The corresponding output sequence is C(X) = m ( x ) G g ( x )= [X 1 01, a sequence with total Hamming weight 2. Suppose now that c(x) is passed through a channel and that two errors occur at precisely the locations of the nonzero code elements. Then the received sequences is exactly zero, which would decode (under any reasonable decoding scheme) to m(x) = [0 01. Thus, a j n i t e number of errors in the channel result in an injnite number of decoder errors. Such an encoder is called a Catastrophic encoder. It may be emphasized, however, that the problem is not with the code but the particular encoder, ) ) since Gl(x), G ~ ( x and G3(x) all produce the same code but, G1(x) and G ~ ( xdo not exhibit catastrophic behavior. Letting wt(c(x)) denote the weight of the sequence c ( x ) ,we have the following definition:

Lake Wobegon is a ctional town somewhere in the upper reaches of the United States, around Minnesota and North and South Dakota. It is the boyhood home of Garrison Keillor, the guy who, with tongue in cheek, reports the News from Lake Wobegon on a weekly radio show called A Prairie Home Companion. (It s been broadcast for years on public radio stations across the United States; they even did a movie about it.) Now as the story goes, at least according to Keillor, in Lake Wobegon everything is friendly, everything is almost perfect sort of like

, 1992) and a thin extrusive layer that thickens rapidly off axis within 1 2 km (Detrick et al, 1993b; Kent et al, 1994) In the model of Cann (1974) the crust at lower levels develops from the crystallization of the axial magma chamber The rst minerals to crystallize in the magma chamber, olivine and chrome spinel, fall through the magma and form a basal layer of dunite with occasional accumulations of chromite With further cooling pyroxene crystallizes and cumulate peridotitic layers (ie of olivine and pyroxene) are produced, giving way upwards to pyroxenites as the crystallization of pyroxene begins to dominate Ultimately, plagioclase also crystallizes and layered olivine gabbros form Much of the residual liquid, still volumetrically quite large, then solidi es over a very small temperature range to form an upper, isotropic gabbro.

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A small volatile-rich residuum of this differentiation process, consisting essentially of plagioclase and quartz, is the last fraction to crystallize, sometimes intruding upwards to form veins and small.

Listing 1.5 StringPairTest. (continues)

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