However, it can be approximated by sequences of absolutely continuous functions attaining the bound asymptotically.
The primary spectrum can be approximated by a sequence of power laws.
The generalized solution of problem (1.2 - 1.3) can be approximated by a sequence of solutions of problems with initial condition (2.1 - 2.3 2.1 - 2.3
In particular, it was proved that any solution for autonomous differential inclusions can be approximated by a sequence of solutions for difference inclusions (the multifunction G is assumed to be bounded and Lipschitz).
Since a nonnegative Radon measure μ may always be approximated by a sequence f n of L ∞ functions, we want to know whether the approximate solutions may converge to a nontrivial function in W 0 1, p or whether the approximate solutions converge.
Then a weak solution ( u, v, w ) ∈ X ¯ to problem (1.1 - 1.3 1.1 - 1.3e is L 2. Proof Since every L 2 -funiquen can be approxinated by a sequence of -functions, it suffices to show the uniqueness of -soLutions w.r.t. the L 2.-norm.
We show that the unique positive solution can be found in a product set, and that it can be approximated by constructing iterative sequences for any given initial point of the product set.
Our result shows that the unique solution exists in a product set (overline{P}_{h,e}=P_{h_{1},e_{1}}times P_{h_{2},e_{2}}) and can be approximated by making an iterative sequence for any initial point in (overline{P}_{h,e}).
Our result shows that the unique solution exists in a product set and can be approximated by making an iterative sequence for any initial point in the product set.
Thus, the size of a 2D encoded sequence can be approximated by the following general formula: This formula can be substituted into the original definition for compression ratio to provide a general formula for the 2D compression ratio: In order to test 2D, it was used to compress several bacterial genomes and its performance was compared against several other compression utilities.
