... incorporates several constraints on the available silicon area (hardware capacity), B Knerr et al memory (software capacity), and latency as a timing constraint The global criticality/local phase ... values for ρ The metric κ has been calculated for all the sample graphs, and the performance of GA, TS, and RRES has been plotted against this characteristic value, as shown in Figure 11 The Ω values ... rank levels are annotated at the bottom of the graphic The fundamental idea of the algorithm explained in Section is that, in general, a local optimal solution, for instance, covering the rank...
... perform the welding task, an assignment forthe mobile platform and the manipulator is made as: the mobile platform should track the curved surface in which the welding trajectory lies on, and the ... the manipulator torch tip on the x-y plane to the center C of platform, φ w is the heading angle in the horizontal plane of the welding torch, and φ C is the heading angle of the mobile platform ... and the manipulator has the duty of reaching to the altitude of the welding point 2.2 Kinematic Modeling forthe Mobile Platform The kinematic equation of the platform can be described as the following:...
... determinant [10] (see for example equation (32) below) The individual paths of a Hankel n–path are clearly Dyck paths An example of a Hankel 3−path is shown in figure 4a a) b) Figure 4: a) An example ... Dyck paths and bi-ballot paths we need the following factorizations The bijection is then shown by rearranging the factors Definition (Catalan Factor) The set of Catalan factors, or C-factors, ... reversed ballot path The resulting marked Dyck path will be known as a bi-ballot path and is defined as follows Definition (Bi-ballot paths) A bi-ballot path with parameters r > and b ≥ is a Dyck path...
... |m|≤n of the particular solutions obtained above Note, if αk0 = for some k0, ≤ k0 ≤ s -1, then ak = for all natural k ≤ k0 - (Such a situation can come to exist, if a < 2.) Therefore, all the sums ... elliptic equations, diagonal systems and variational integrals Manuscripta Math 55, 467–486 (1986) doi:10.1007/BF01186659 Rutkauskas, S: On the first boundary value problemforthe class of elliptic ... systems degenerating at an inner point Math Model Anal 6(1), 147–155 (2001) Rutkauskas, S: On the Dirichlet problemfora system of degenerate at a point elliptic equations in the class of bounded...
... a a, and hence 2a − α − 2a k − y < 2a − 2a k 3.9 a − a − 2a k − αx < a − α ≤ μ x x, and hence, for this case, the inequality holds If x ≥ a, then μ x Therefore, for y > μ x 3.2 takes the form ... the boundary value problem 1.1 – 1.3 Lemma 2.2 The function ϕ λ may have only a finite number of zeros in the half- plane Im λ > Moreover, all these zeros are simple and lie in the imaginary axis ... Boundary Value Problems The aim of the present paper is to investigate the direct and inverse scattering problem on the half- line 0, ∞ forthe boundary value problem 1.1 – 1.3 In the case ρ...
... a a, and hence 2a − α − 2a k − y < 2a − 2a k 3.9 a − a − 2a k − αx < a − α ≤ μ x x, and hence, for this case, the inequality holds If x ≥ a, then μ x Therefore, for y > μ x 3.2 takes the form ... the boundary value problem 1.1 – 1.3 Lemma 2.2 The function ϕ λ may have only a finite number of zeros in the half- plane Im λ > Moreover, all these zeros are simple and lie in the imaginary axis ... Boundary Value Problems The aim of the present paper is to investigate the direct and inverse scattering problem on the half- line 0, ∞ forthe boundary value problem 1.1 – 1.3 In the case ρ...
... A- harmonic equation and the obstacle problems for differential forms which satisfy the A- harmonic equation, and the proof forthe uniqueness of the solution to the obstacle problem of the A- harmonic ... Journal of Mathematical Analysis and Applications, vol 247, no 2, pp 466–477, 2000 X Yuming, “Weighted integral inequalities for solutions of the A- harmonic equation,” Journal of Mathematical Analysis ... the obstacle problem to A- harmonic equation, whose definition is according to the same definition as the obstacle problem of quasilinear elliptic equation Forthe obstacle problem of quasilinear...
... can also occur within one BSS; for example, replacing AP1 and AP2 with STA3 and STA4 and assuming that all the stations are in the same BSS but STA3 and STA4 cannot hear each other, the same problem ... example, the CSMA/CCA allowing for leakage yields worse fairness performance than the other two CSMA/CCA protocols The reason is that in the CSMA/CCA with leakage, after a successful data frame ... frames such as ACK (acknowledgment) frames and CTS frames; whereas the DIFS is larger and used for normal data frames in DCF operation In the CSMA/CA protocol, an initial station with a MAC frame...
... any UHF algebra U and any F ∈ F one has C∗ -algebra F (A) ∼ F (A ⊗ U), = yet A and A ⊗ U are not isomorphic A is moreover an approximately homogeneous (AH) algebra, and A ⊗ U is an approximately ... if a b and b a Put W (A) = M∞ (A) + / ∼, and let k a be the equivalence class containing a Then, W (A) is a positive ordered ON THE CLASSIFICATION PROBLEMFOR NUCLEAR C ∗ -ALGEBRAS 1033 abelian ... ANDREW S TOMS M Rørdam, The real rank of certain simple C∗ -algebras, in Advances in Opera- tor Algebras and Mathematical Physics, 197–206, Theta Ser Ad Math 5, Theta, Bucharest, 2005 [Th] K Thomsen,...
... called quasi-invariant, if x ◦ λ ∼ λ for all x ∈ G Then L1 (Ω, λ) is a G-invariant L-subspace of M (Ω) Abstractly, if X is a left Banach G-module (i.e., X is a Banach space and the transformations ... in Banach algebras He developed various techniques and gave a rmative answers in a number of important special cases As an immediate consequence of the factorization theorem, the image of a derivation ... completes the proof of Lemma 4.2 Remark 4.3 (a) There are numerous examples of transformation groups that admit a quasi-invariant probability measure but no finite invariant measure (see also §6) An easy...
... Automorphic Forms, Biblioteca de la Revista Matem´tica Iberoamericana, Revista Matem´tica Iberoamericana, Madrid, aa 1995 [ILS] H Iwaniec, W Luo, and P Sarnak, Low lying zeros of families of ... associated to a definite quaternion algebra, namely the quaternion algebra over Q ramified at q and ∞ For other definite Shimura curves similar results hold mutatis mutandis; see Theorem 10 (the reader ... of q and the critical range forthe variable c is around q As in [KMV2] we open the Kloosterman sum and apply a Voronoi type summation formula to the λg (m) sum, with the effect of replacing the...
... tax rate, tax loss carryforwards and investment functions – empirical analysis using a large German panel data set Fred Ramb 26 22 2007 Volatile multinationals? Evidence from the labor demand ... Hoffmann Sondergaard, Westelius 34 2007 Factor-MIDAS for now- and forecasting with ragged-edge data: a model comparison for German GDP Massimiliano Marcellino Christian Schumacher 35 2007 Monetary ... quality of banking and regional growth Hasan, Koetter, Wedow 11 2007 Welfare effects of financial integration Fecht, Grüner, Hartmann 12 2007 The marketability of bank assets and managerial Falko...
... Strategy for jobs and smart, sustainable and inclusive growth Social enterprises can act as drivers of a social change by offering innovative solutions and therefore and therefore make a valuable ... microfinance and not allow the precise identification of social undertakings targeted Alongside these national approaches, there are also industry led pan-European initiatives to create a label for ... weakened by the proliferation of self-regulatory labelling and transparency initiatives While these initiatives increase the volume of information available, they tend also to fragment that information...
... halfthe planet In essence, the film contributed towards a growing awareness of the fragility of our planet and the exposure of the human race to natural catastrophes on a scale that, due to their ... brought to a halt before yet more of the island disappeared beneath the waves The aborted San Andres collapse has great significance as it shows that Canary Islands landslides move rapidly and as coherent ... Canary Islands and northwest Africa Between six and twelve hours later, the giant waves savage the north-east coast of Brazil, the Caribbean, and the entire eastern seaboard of the US Even the...
... Department of Mathematics, Faculty of Education, Alexandria University, Alexandria, Egypt 2Faculty of Industrial Education, Helwan University, Cairo, Egypt Authors’ contributions The two authors ... of interesting analytical problem that arising in the field of spectral analysis of differential operators, see [4-6] In [3], the author studied the equiconvergence theorem of theproblem −y + ... function of theproblem (1.6) In the following lemma, we prove an important asymptotic relation forthe Green’s function Lemma 2.2 For q(x) Î L1(0, π) and by the help of the asymptotic formulas (2.4),...
... Department of Mathematics, Faculty of Education, Alexandria University, Alexandria, Egypt 2Faculty of Industrial Education, Helwan University, Cairo, Egypt Authors’ contributions The two authors ... of interesting analytical problem that arising in the field of spectral analysis of differential operators, see [4-6] In [3], the author studied the equiconvergence theorem of theproblem −y + ... function of theproblem (1.6) In the following lemma, we prove an important asymptotic relation forthe Green’s function Lemma 2.2 For q(x) Î L1(0, π) and by the help of the asymptotic formulas (2.4),...
... Vasundhara Devi, Theory of Fractional Dynamic Systems, Cambridge Scientific, Cambridge, UK, 2009 V Lakshmikantham and A S Vatsala, “Basic theory of fractional differential equations,” Nonlinear Analysis: ... Boundary Value Problems 17 29 T A Maraaba, F Jarad, and D Baleanu, “On the existence and the uniqueness theorem for fractional differential equations with bounded delay within Caputo derivatives,” ... nonlinear fractional differential ¨ equation,” Journal of Mathematical Analysis and Applications, vol 311, no 2, pp 495–505, 2005 11 M Benchohra, S Hamani, and S K Ntouyas, “Boundary value problems for...
... “Quasi-static and dynamical analysis for viscoelastic Timoshenko beam with fractional derivative constitutive relation,” Applied Mathematics and Mechanics, vol 23, no 1, pp 1–12, 2002 A M Nahuˇ ... fractional order under the Lie group of scaling transformations,” Journal of Mathematical Analysis and Applications, vol 227, no 1, pp 81–97, 1998 Boundary Value Problems 11 Z Y Zhu, G G Li, and ... fundamental solutions forthe fractional diffusion-wave equation,” Applied Mathematics Letters, vol 9, no 6, pp 23–28, 1996 E Buckwar and Y Luchko, “Invariance of a partial differential equation...
... by a suitable constant a, uniformly in x ∈ Ω Moreover, we also provide a localization of the solution by showing that for all r > we can choose the constant a in such way that there exists a solution ... Differential Equations, G M de la Penha and L A J Medeiros, Eds., vol 30 of North-Holland Mathematics Studies, pp 284–346, North-Holland, Amsterdam, The Netherlands, 1978 C O Alves, F J S A Corrˆ a, and ... methods are used in and For K t a bt and λ 0, the existence of a nontrivial solution as well as multiple solutions forproblem Pλ is established in and by using critical point theory and invariant...