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In this paper, we compute the size of a family of special subspaces in F2νq, and discuss its applications to the constructions of Cartesian authentication codes, pooling designs and strongly regularized semilattices, respectively.
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We present efficient, second-order accurate and adaptive finite-difference methods to solve the regularized, strongly anisotropic Cahn Hilliard equation in 2D and 3D.
A straightforward modification of the scheme is then used to solve the regularized strongly anisotropic Cahn Hilliard system, and it is numerically verified that the discrete energy of the anisotropic system is also non-increasing, and can be efficiently solved by using the modified stable method.
Therefore, such a way forms the so-called regularized solution which strongly converges to the exact solution in (L^{2} -norm.
Nevertheless, the performance of SConES, as that of all other network-regularized approaches, is strongly negatively affected when the network is entirely inappropriate [Scenario (a)].
Equation 8 indicates that the graph-regularized multi-task (GRMT) SVR strongly depends on the choice of the adjacency matrix A, which encodes the similarity between the tasks.
where ; f iε → f i uniformly on bounded subsets of, and f iε satisfies the assumptions (A0), (A1),,,, strongly in as ε → 0. Now we will prove that the regularized problem (2.1 - 2.3 2.1 - 2.3 cladmitsl solution.
The convergence rate of the regularized solutions to x0 will be established under the condition of inverse-strongly monotonicity for A and the regularization parameter choice based on the generalized discrepancy principle.
A family ({Im}_{tgeq0}) is called a k-regularized resolvent family if the following conditions are satisfied: (a) ℑ is strongly continuous on (Re^) and (Im(0) = k(0 I); (b) (Im yin D(B)) and (BIm(t)(y) = Im(t By) for all (y in D(B)) and (tgeq0); (c) the k-regularized resolvent equation holds Im(t) (y) = K t) (y -int_{0}^{t}BK(t-s)Im(s)y -int_{.
The next summer, the dance became more regularized.
The Bank Holiday Act of 1871 further regularized leisure time.
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