Wave shoaling and the angular frequency is proportional to its local rate of change, Simplifying to one dimension and cross-differentiating it is now easily seen that the above definitions indicate simply that the rate of change of wavenumber is balanced by the convergence of the frequency along a ray; Assuming stationary conditions (formula_27), this implies that wave crests are conserved and the frequency must remain constant along a wave ray as formula_28. As waves enter shallower waters, the decrease in group velocity caused by the reduction in water depth leads to a reduction in wave length formula_29 because the nondispersive shallow water
Constant-weight code threshold. Most line codes use either a constant-weight code, or a nearly-constant-weight paired disparity code. In addition to use as error correction codes, the large space between code words can also be used in the design of asynchronous circuits such as delay insensitive circuits. Constant-weight codes, like Berger codes, can detect all unidirectional errors. The central problem regarding constant-weight codes is the following: what is the maximum number of codewords in a binary constant-weight code with length formula_1, Hamming distance formula_2, and weight formula_3? This number is called formula_4. Apart from some trivial observations, it is generally impossible to compute