Báo cáo hóa học: " Inequalities for Green’s operator applied to the minimizers" doc

... we alway use G to denote Green’s operator. 2. Local inequalities The purpose of this paper is to establish the L  -norm inequalities for Green’s operator applied to the following k-quasi-minimizer. ... results are extensions of L p norm inequalities for Green’s operator and can be used to estimate the norms of other operators applied to differentia...

Ngày tải lên: 20/06/2014, 22:20

... easily get an expression for Green’s function in representation 5.5 from the Kramer formula or from the formula for u   A −1  f.If  A −1 g ij ,thenG ij  g ij for i ∈ X n , j ∈ X n−m and ... e.g., NBCs. The main result of this paper is formulated in Theorem 4.1, Lemma 5.3,andTheorem 5.4. Theorem 4.1 can be used to get the solution of an equation with a difference...

Ngày tải lên: 21/06/2014, 11:20

... x i ∈ R n ,1≤ i ≤ m,thenx 1  +···  +x m is defined to be the usual vector sum of the points x i , if all of them belong to a line through o, and 0 otherwise. 6 Inequalities for dual affine quermassintegrals Notice ... introduce the concept of the mixed p-dual affine quermassintegrals and establish the Minkowski inequality for them (Theorem 3.1). As an application, the dual...

Ngày tải lên: 22/06/2014, 21:20

... uniform on I, and the operator K is trace class and satisfies the trace formula  I k(x,x)dx =  i≥1 λ i . InthecasewhereI is compact, the last statements are the classical theorem of Mercer; for ... in class Ꮽ 0 (I), then the corresponding operator is compact, trace class and satisfies (the analog of) Mercer’s theorem [7], irrespective of whether I is bounded or unbounded. Fo...

Ngày tải lên: 22/06/2014, 22:20

... graphs in the field to have rather low values for r loc and a low to medium value for γ, while having low values for ρ.Themetricκ has been calculated for all the sample graphs, and the performance ... on the x-axis, the performance of the RRES algorithm is plotted. The dot- ted lines show the ES performance. For a window length of 20, the obtained values for R...

Ngày tải lên: 22/06/2014, 06:20

... translator’s tools helping to translate documents. The grammarian’s tools are designed to make it easy to port the technique to new applications. The translator’s tools are essential in the re- stricted ... any of the languages gets automatically translated to the other languages. To take an example, the OWL -to- GF mapping trans- lates OWL’s classes to GF’s catego...

Ngày tải lên: 17/03/2014, 00:20

... additional information. In the case of the MUSs (e.g.), the difference is located in the emotional factor and in the passive coping factor, but not in the physical component of the ICA F. In the vari- able ... to the com- plexity and multi-dimensio nal nature of the syndrome. In addition, the study aims to evaluate the usefulness of the tool when contrasted with...

Ngày tải lên: 18/06/2014, 19:20

... Medial superficial dissection was then performed to identify the saphenous nerve, the superior medial geniculate artery, the adductor hiatus, the tendinous insertion of the adductor magnus and the femoral artery. ... Steinman pin to the FAAH, and the anterior-posterior distance (dA) from each Steinman pin to the femoral artery (either proximal or distal to the poin...

Ngày tải lên: 20/06/2014, 04:20

... study the factors that account for anatomical variation. Results: The first principal component representing size accounted for 70.5 percent of anatomical variation. The addition of a further ... order to perform shape analysis. DF assisted in the design of the study, supervised the research, edited and evaluated the manuscript. HM assisted in the design of the study,...

Ngày tải lên: 20/06/2014, 04:20

... regression was used to identify risk fac- tors. One regression identified the risk factors for blind- ness (blind versus no visual impairment) and another the risk factors for low vision (low ... data to the entire population were estimated by INSEE from the 1999 national census. These weights were applied to the Everyday Life and Health survey of impairment sever- ity,...

Ngày tải lên: 20/06/2014, 15:20