Báo cáo hóa học: " Research Article Representation of Multivariate Functions via the Potential Theory and Applications to Inequalities'''''''' docx
Báo cáo hóa học: " Research Article Representation of Multivariate Functions via the Potential Theory and Applications to Inequalities'''' docx
... CorporationJournal of Inequalities and Applications Volume 2008, Article ID 475957, 15 pagesdoi: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. Basedon it, we prove Theorem 1.1 in Section 4. We conclude the paper with a representation of smooth functions in ... that the right-hand side of 5.14 for f±p,yequals the above LHS.ii The first identity of 5.15 follows from Theorem 5.1, while the second follows fromTheorem 1.3 with ΩBRa and y...
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Báo cáo hóa học: " Research Article Representation of Multivariate Functions via the Potential Theory and Applications to Inequalities" ppt
... CorporationJournal of Inequalities and Applications Volume 2008, Article ID 475957, 15 pagesdoi: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. Basedon it, we prove Theorem 1.1 in Section 4. We conclude the paper with a representation of smooth functions in ... inequalities, the reader is referred to the book in 6, Chapters 5and6 and the papers in 7, 8.In this section, we give a representation formula for f in terms of the integral mean valueover Ωunder the...
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Báo cáo hóa học: " Research Article A Motion-Adaptive Deinterlacer via Hybrid Motion Detection and Edge-Pattern Recognition" docx
... patterns, and the minimum filter and maximumfilter of “H” pixels and “L” pixels can avoid the interpolation of an extreme value and thus minimize the risk of “pepper &salt” noises. The pixels b and ... near the edges. The second con-dition is not applied to the edges as a result of vertical varia-tion checking. The third condition of HMD is therefore used to detect the motion of edges. The ... background and moving foreground, whichpreserves the integrity of the background textures and edges and also minimizes the motion holes of the foreground.In Figure 11, the entire 194th field of Stefan...
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Báo cáo hóa học: " Research Article Representation of 3D and 4D Objects Based on an Associated Curved Space and a General Coordinate Transformation Invariant Description" potx
... canbe done though is to transport one of the vector “parallel” to itself to the other location and then to compare themon 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 consequently the source tensor) but also to the ... convince oneself of that. For exam-ple, it suffices to move a vector from the North Pole to the equator along a meridian, then once more along the equa-tor, and finally back to the North Pole along...
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Báo cáo hóa học: " Research Article Dynamics of a Predator-Prey System Concerning Biological and Chemical Controls" ppt
... 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 lowerbound for the populations of the prey and the predator to justify the system is permanent.Journal of Inequalities and Applications 3010 ... x0,1.3where the parameters 0 ≤ τ<1andT>0 are the periods of the impulsive immigration orstock of the predator, 0 ≤ p1,p2< 1 present the fraction of the prey which dies due to the harvesting...
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báo cáo hóa học:" Research Article Approximation of Analytic Functions by Kummer Functions" pot
... integers and the set of allintegers, respectively. For each real number α,weusethenotationα 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 xyβ − xy− αy ∞m0amxm and apply this result to the proof of a local Hyers-Ulam stability of the Kummerdifferential ... in the following theorem, then it can be approximated by a“combination” of Kummer functions such as Mα, β, x and M1 α − β, 2 − β, xsee the first part of Section 2.Theorem 3.1. Let α and...
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Báo cáo hóa học: " Research Article Comparison of Semidistributed Multinode TOA-DOA Fusion Localization and GPS-Aided TOA (DOA) Fusion Localization for MANETs" pot
... area to announce their availabilityby sending a signal back to the base-node automatically. The base-node calculates the TOA of the received signalcompared 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 reflection effects (e.g., in the downtownareas) ... complicated and hard to compute [40]. In addition, depending on the nature of channels, the TOA and DOA estimation errorsmight become independent [39]orcorrelated[41].If the PDF of the TOA and DOA...
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Báo cáo hóa học: " Research Article Subclasses of Meromorphic Functions Associated with Convolution" ppt
... subset of the class Mqgh.Proof. The proof follows from the definition of the classes by taking f ϕ.Theorem 3.11. The function f ∈Mqgh if and only if −zf∈Mcgh.Proof. If f ... z, the following corollary is obtained.Corollary 3.5. Let h and φ satisfy the conditions of Theorem 3.3.Iff ∈Msh,thenf ∈Msφh.Theorem 3.6. Let h and φ satisfy the conditions of Theorem ... The Journal of the Indian Academy of Mathematics , vol. 26, no. 1, pp. 35–45, 2004.7 R. M. Ali, V. Ravichandran, and S. K. Lee, “Subclasses of multivalent starlike and convex functions, ”to...
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Báo cáo hóa học: " Research Article Indexing of Fictional Video Content for Event Detection and Summarisation" docx
... firstlycompared to each other, and secondly with the results of the automatic system. In total, six films were used and the resultsare 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 dialogue. Therefore,these shots are detected and the boundaries ... x2NN,(4)where N is the number of samples in the clip, and xiare the audio values. The clip is then split into a number of smallertemporal segments and the RMS value of each of these seg-ments...
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Báo cáo hóa học: "Research Article Modeling of Electrocardiogram Signals Using Predefined Signature and Envelope Vector Sets" pot
... diagonal entrees air of the matrix Aiare determinedin terms of the entrees v1ir of the major signature vector V1i and the samples of the original ECG signal xir of the framevector Xibyair=xirCiv1ir, ... the expected value of the error vector ε= Xi−LFk=1ckVkiwith respect to Vkiin the LMS sense. Eventually, Vkiarecomputedastheeigenvectors of the autocorrelation matrix Ri of the ... vector (PSV)R,”“predefined envelope vector (PEV)K,” and frame-scaling coefficient (FSC). All the PSVs and PEVs are labeled and stored in theirrespective sets to describe the signal in the...
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