Báo cáo hóa học: " Research Article Representation of Multivariate Functions via the Potential Theory and Applications to Inequalities" ppt

... Corporation Journal of Inequalities and Applications Volume 2008, Article ID 475957, 15 pages doi:10.1155/2008/475957 Research Article Representation of Multivariate Functions via the Potential Theory and Applications ... necessary later in the paper. Section 3 is dedicated to the proof of Theorem 1.3. Based on it, we prove Theorem 1.1 in Section 4. We...

Ngày tải lên: 22/06/2014, 18:20

... Corporation Journal of Inequalities and Applications Volume 2008, Article ID 475957, 15 pages doi:10.1155/2008/475957 Research Article Representation of Multivariate Functions via the Potential Theory and Applications ... necessary later in the paper. Section 3 is dedicated to the proof of Theorem 1.3. Based on it, we prove Theorem 1.1 in Section 4. We...

Ngày tải lên: 22/06/2014, 06:20

... can be done though is to transport one of the vector “parallel” to itself to the other location and then to compare them on the same location. This is what is expressed by (12 )and the affine connection ... is of course a much simpler expression. The level of complexity of the expression is not only related to the components of the metric tensor (and cons...

Ngày tải lên: 22/06/2014, 23:20

... invariant region of the system 1.3. Even if the Floquet theory is well known, we would like to mention the theory to study the stability of the prey-free periodic solution as a solution of the system ... 3.5, we have only to prove the existence of a positive lower bound for the populations of the prey and the predator to justify the system is pe...

Ngày tải lên: 21/06/2014, 07:20

... integers and the set of all integers, respectively. For each real number α,weusethenotationα to denote the ceiling of α, that is, the least integer not less than α. 2. General Solution of 1.4 The ... cited. We solve the inhomogeneous Kummer differential equation of the form xy  β − xy  − αy   ∞ m0 a m x m and apply this result to the proof of a loca...

Ngày tải lên: 21/06/2014, 18:20

... area to announce their availability by sending a signal back to the base-node automatically. The base-node calculates the TOA of the received signal compared to the transmitted one in order to ... base-nodes. The sources of positioning error in these systems include the lack of availability of the LOS between the transmitter and the receiver as well as re...

Ngày tải lên: 22/06/2014, 01:20

... subset of the class M q g h. Proof. The proof follows from the definition of the classes by taking f  ϕ. Theorem 3.11. The function f ∈M q g h if and only if −zf  ∈M c g h. Proof. If f ... z, the following corollary is obtained. Corollary 3.5. Let h and φ satisfy the conditions of Theorem 3.3.Iff ∈M s h,thenf ∈M s φ h. Theorem 3.6. Let h and φ satisfy th...

Ngày tải lên: 22/06/2014, 03:20

... 0, and the coefficient h(t) may be singular at both end points t = 0 and t = 1. The main tool is the monotone iterative technique. Very recently, by using the Leggett-Wiliams fixed point theorem and ... suggestions and comments. This project was supported by the NSF of Zhejiang Province of China (Y605144), the Education Depart- ment of Zhejiang Province of China (2005...

Ngày tải lên: 22/06/2014, 19:20

... firstly compared to each other, and secondly with the results of the automatic system. In total, six films were used and the results are presented in Tab le 2. In the table, the first column represents the total ... shots of a single character, the first and last shots of the clusters will contain the first and last shots of the people involved in the dialog...

Ngày tải lên: 22/06/2014, 19:20

... L l is the total number of fea- tures, m 1 and m 2 ,andD 2 1 and D 2 2 are the means and vari- ances vectors of features vectors p 1,k , k = 1, 2, , M p and p 2,k , k = 1,2, , M p . M p denotes the ... with the FDR criterion. One has to note these pictures portray the extracted features when the notch filter and ideal notch filter are used to decompose the vector...

Ngày tải lên: 22/06/2014, 20:20