Báo cáo hóa học: " Research Article Sparse Approximation of Images Inspired from the Functional Architecture of the Primary Visual Areas" doc

... 90727, 16 pages doi:10.1155/2007/90727 Research Article Sparse Approximation of Images Inspired from the Functional Architecture of the Primary Visual Areas Sylvain Fischer, 1, 2 Rafael Redondo, 1 Laurent ... computational hypothesis about how the primary visual areas could achieve a noise robust sparse approximation of the visual information unde...

Ngày tải lên: 22/06/2014, 23:20

... inequality of L p approximation by the Baskakov-Durrmeyer operator given in 1.10. By means of K -functional and modulus of smoothness defined in 5, we will extend 1.4 to the case of higher ... proof of Theorem 2.2 is finished. Acknowledgment The research was supported by the National Natural Science Foundation of China no. 90818020. References 1 V. A. Baskakov...

Ngày tải lên: 21/06/2014, 05:20

... pages doi:10.1155/2010/476913 Research Article Viscosity Approximation to Common Fixed Points of Families of Nonexpansive Mappings with Weakly Contractive Mappings A. Razani 1, 2 and S. Homaeipour 1 1 Department of Mathematics, ... p  ≤ 0, ∀y ∈ F. 3.3 Proof. Step 1. We prove the uniqueness of the solution to the variational inequality 3.3.Suppose that p, q ∈ F are di...

Ngày tải lên: 21/06/2014, 11:20

... ≥ 0 for t ∈ 0, 1 , then the solution of 2.16 is nonnegative. Corollary 2.5. Let Φ : M → C0, 1 ∩ C 1 0, 1 be the operator such that Φf is the solution of 2.16. Then we have i if f 1 t ... u  1   0. 2.18 Then there exist m  mf > 0, M  Mf > 0 such that ml  t  ≤ u  t  ≤ Ml  t  for t ∈  0, 1  . 2.19 2.2. The Proof of Theorem 1.1 Claim 1 see...

Ngày tải lên: 21/06/2014, 20:20

... is, ∞  i=1 α i =∞. (3.61) The necessity of condition (b) is proved. Summing up the about argument, the conclusion (1) of Theorem 3.3 is proved. The conclusion (2) of Theorem 3.3 can be obtained from Theorem 3.2 ... ∈  N i =1 (F(T i )  C), then this p is the unique solution of the following vari- ational inequality:  (I − f )(p),J(p − u)  ≤ 0, ∀u ∈ N  i=1  F  T i...

Ngày tải lên: 22/06/2014, 19:20

... ω  0 M, A, p, ·, ,·, and this completes the proof. Acknowledgments The author wishes to thank the referees for their careful reading of the paper and for their helpful suggestions. References 1 ... l  M, q, ·, ,·. This completes the proof. The following result is a consequence of the above theorem. Corollary 2.5. i If 0 <p k,l < 1 for each k and l,then...

Ngày tải lên: 21/06/2014, 05:20

... it can be seen from Figure 12 that the rate of increase of the mean of the presence probabilities of the void cells also increases. These observations validate the effectiveness of the proposed ... left or to the bottom of the static cell, and if they are moved a distance of r − (r/ √ 2) (at the worst case) beyond the cell center towards the static cell,...

Ngày tải lên: 21/06/2014, 05:20

... Yz is the Z transform of the output sequence ykT, Fz is the Z transform of the input sequence fkT,andPSE{u} denotes the expression, which results from the power series expansion of the function ... that is, the use of the generating function 2.13 for β  1,γ 1/2 and then the PSE, which is convergent of order 2. Other forms of generation functions f...

Ngày tải lên: 21/06/2014, 05:20

... that the features of the UML language do not bias the definition of the domain-modeling problem. This is because the semantics of the model become separated from the notation of the model. After ... between IP blocks in the active mode of the system. In addition, the requirement is further refined by the functional specification of the system represented...

Ngày tải lên: 21/06/2014, 05:20

... 12 Journal of Inequalities and Applications Proof. From the proof of Theorem 1.2, when the conditions H 1  ∗ and H 2  are satisfied, the iterative sequences {v n } and ... satisfied. From iii, it is easy to see that assumption H 2  is satisfied. Therefore, the following result is deduced from Theorem 1.2. Theorem 3.1. If the assumptions i–iii are satisfied, then t...

Ngày tải lên: 21/06/2014, 07:20