Báo cáo hóa học: " On the Ulam-Hyers stability of a quadratic functional equation" ppt

Báo cáo khoa học: "ON THE SUCCINCTNESS PROPERTIES OF UNORDERED CONTEXT-FREE GRAMMARS" ppt

... f~(cn). Proof. This proof is really just a generalization of the proof of Theorem 1. It uses, however, the Q subsets in a way that the proof of Theorem 1 does not. First, we drop the n subscript ... let j be the position where the yield of the final value of the current node starts, and let k be the length of that yield. By the algorithm, k <_ m. If k < m/r, then since the grammar ... is the fanout of the grammar. Finally, the lemma gives us an estimate of the size of the interchange- able subset. We may choose an arbitrary subset Q(n) of L(n), where L(n) is the set of...

báo cáo hóa học:"Fuzzy Hyers-Ulam stability of an additive functional equation" pptx

... Hyers–Ulam stability of functional Eq. (0.1) infuzzy Banach spaces.In this subsection, assume that X is a vector space and that (Y, N) is a fuzzy Banachspace.Fuzzy Hyers-Ulam stability of an additive ... upon acceptance. Fully formattedPDF and full text (HTML) versions will be made available soon.Fuzzy Hyers-Ulam stability of an additive functional equationJournal of Inequalities and Applications ... limn→∞f(2nx)2nFuzzy stability of additive functional equation 15[11] Eshaghi Gordji, M, Abbaszadeh, S, Park, C: On the stability of a generalized quadratic and quartictype functional equation in quasi-Banach...

báo cáo hóa học: " On the potential role of glutamate transport in mental fatigue" ppt

... overstimulation of the cerebral cortex. Here, the final shutdown of the glutamate transmission could beone mechanism underlying mental exhaustion (figure 1). In line with these theoretical proposals, increased ... fatigue. In addition, the decrease in noradrenaline and serot-onin release might be part of decreased attention and the appearance of depression often accompanying the mental fatigue.Journal of ... glutamine supply of the neurons.Experimental investigations in the rat and monkey havedemonstrated a feedback loop from the left basal frontalcortex, with an inhibitory influence on the locus...

Báo cáo hóa học: " On the maximum modulus of a polynomial and its polar derivative" potx

... Access On the maximum modulus of a polynomial and its polar derivativeAhmad ZirehCorrespondence:azireh@shahroodut.ac.irDepartment of Mathematics,Shahrood University of Technology,Shahrood, IranAbstractFor ... Rather, NA: A refinement of a theorem of Paul Turan concerning polynomials. Math Ineq Appl. 1, 231–238(1998)7. Jain, VK: Generalization of an inequality involving maximum moduli of a polynomial and ... [9].Lemma 2.1. If all the zeros of an nth degree polynomial p(z) lie in a circular region C and w is any zero of D a p(z), then at most one of the points w and a may lie outside C.Lemma 2.2....

Báo cáo hóa học: " On the super-stability of exponential Hilbert-valued functional equations" pot

... cited. exponential equation as exponential function. A general solution of the exponential equation was introduced in [12]. In fact, a function f: ℝ ® ℂ is an exponential functionif and only if either ... 46E40.Keywords: exponential functions, stability, Hilbert-valued function1. Introduction The stability problem of functional equations goes back to a question of Ulam [1] con-cerning the stability of group ... et al. [7] have proved the super-stability of the exponential functional equation: If a function f: ℝ ® ℝ isapproximately exponential function, i.e., there exists a nonnegative number a such...

Báo cáo hóa học: " On the Ulam-Hyers stability of a quadratic functional equation" ppt

... 2011:79http://www.journalofinequalitiesandapplications.com/content/2011/1/79Page 5 of 9RESEARCH Open Access On the Ulam-Hyers stability of a quadratic functional equationSang-Baek Lee1, Won-Gil Park2and Jae-Hyeong Bae3** Correspondence: jhbae@khu.ac.kr3Graduate ... 2011:79http://www.journalofinequalitiesandapplications.com/content/2011/1/79Page 8 of 9including Equation (1.1). It is also the firs t result on the Ulam-Hyers stability of the quadratic functional equation. ... (y).(1:1)Hence, the above equation i s called the quadratic functional equation. In particular,every solution f : X ® Y of equation (1.1) is said to be a quadratic mapping. In 1983,Skof [6] obtained the...

báo cáo hóa học: " On the solvability conditions of the first boundary value problem for a system of elliptic equations that strongly degenerate at a point" pdf

... (1953)doi:10.1186/1687-2770-2011-16Cite this article as: Rutkauskas: On the solvability conditions of the first boundary value problem for a system of elliptic equations that strongly degenerate at a point. Boundary Value Problems ... value problem for a system of elliptic equations that strongly degenerate at a pointStasys RutkauskasCorrespondence: stasys.rutkauskas@mii.vu.ltInstitute of Mathematics andInformatics of Vilnius ... Introduction and statement of the problems The first results in the area of boundary value problems for an elliptic equation withdegeneracy at an inner point of the considereddomainareobtainedin[1].Inthatstudy,...

Báo cáo hóa học: " On the EVM computation of arbitrary clipped multi-carrier signals" docx

... magnitudecli pping function for achieving more realistic results forpractical uses.Appendix A Proof of the EVM computation equationWe define the energy of the clipped portion of the sig-nal asf ... well as the effect of an arbitrary magnitudeclipping response by giving an analytical expression in the form of a power series for computing the EVM of the gen-eralized cas e.Analysis of clipped ... ˜μ51r4dr.(11)Proof. See Appendix A. □4 Simulation results and discussion4.1 The Gaussian approximationA common method for analyzing the EVM of an OFDMsig nal uses the central l imit theorem (CLT)....

báo cáo hóa học: " On the achievable rates of multiple antenna broadcast channels with feedback-link capacity constraint" doc

... f(x)=exEn(x)(n ≥ 1) is a monotonicallydecreasing function. The proofs of these three lemmas are in Appendices4-6, respectively. Then we have the following theorem on the lower bound of the achievable e ... bounds of the achievable rates with limited feedback. But differentfrom the distortion measure of the angle in [20,21,25],another vector quantization approach based on the dis-tortion measure of ... 2011:21http://jwcn.eurasipjournals.com/content/2011/1/21Page 2 of 16RESEARC H Open Access On the achievable rates of multiple antenna broadcast channels with feedback-link capacity constraintXiang Chen*,...

Báo cáo hóa học: " Research Article Intuitionistic Fuzzy Stability of a Quadratic Functional Equation" pptx

... Hyers-Ulam-Rassias stability of approximately additivemappings,” Journal of Mathematical Analysis and Applications, vol. 184, no. 3, pp. 431–436, 1994.9 S. Czerwik, Stability of Functional Equations ... and ApplicationsThe paper of Rassias has provided a lot of inﬂuence in the development of what wecalled the generalized Hyers-Ulam-Rassias stability of functional equations. In 1990, Rassias5 ... the linear transformation in Banach spaces,” Journal of the MathematicalSociety of Japan, vol. 2, pp. 64–66, 1950.4 T. M. Rassias, “On the stability of the linear mapping in Banach spaces,”...

Báo cáo hóa học: " Research Article Lagrangian Stability of a Class of Second-Order Periodic Systems" docx

... pagesdoi:10.1155/2011/845413 Research Article Lagrangian Stability of a Class of Second-Order Periodic SystemsShunjun Jiang, Junxiang Xu, and Fubao ZhangDepartment of Mathematics, Southeast University, Nanjing 210096, ... <l<p−2, and α, ω > 0 ar e constants. We want to generalizethe result in 6 to a class of p-Laplacian-type diﬀerential equations of the form 1.9.Themainidea is similar to that in 6. ... is periodic. The idea isalso to change the original problem to Hamiltonian system and then use a twist theorem of area-preserving mapping to the Pioncar´emap.The above diﬀerential equation...

Báo cáo hóa học: " On the Chemical Origin of the Gap Bowing in (GaAs)12xGe2x Alloys: A Combined DFT–QSGW Stud" pptx

... latticeparameter of the alloys, the Vegard’s law: a GaAsðÞ1ÀxGe2x¼xaGeþ 1Àxð a GaAsð2Þwhere a (GaAs)12xGe2x , a Ge, a GaAsare the lattice parameters of the ﬁnal alloy and its components, respectively, ... Wehave also made a preliminary calculation of the stability of isolated Ga acceptors (GaGe) and As donors (AsGe) versusthat of the substitutional molecular GaAsGe2 in Ge purehost (a supercell ... growth; they require as input the critical concentration at which the transition takes place,but no restrictions on the formation of Ga–Ga and As–Asbonds are imposed. Other models based on the...

Báo cáo hóa học: " On the Geometrical Characteristics of Three-Dimensional Wireless Ad Hoc Networks and Their Applications" pptx

... loca-tions and their corresponding degrees would aﬀect the con-ﬁguration of the wireless ad hoc network and even the totalnetwork throughput. Verdone [7] proved that in an inﬁnite three-dimensional ... space. Then, on the basis of the distribution func-tion, some meaningful results on the wireless ad hoc network characteristics are presented, including the node degree inSection 3 and the max-ﬂow ... Communications and NetworkingVolume 2006, Article ID 31467, Pages 1–10DOI 10.1155/WCN/2006/31467 On the Geometrical Characteristics of Three-Dimensional Wireless Ad Hoc Networks and Their ApplicationsGuansheng...

Báo cáo hóa học: " On the Channel Capacity of Multiantenna Systems with Nakagami Fading" pot

... capac-ity of the Nakagami fading channels. The conservativeness of the lower bound comes from the diagonal assumption on Q.If, on the other hand, Q is nondiagonal, some kind of knowl-edge, either ... viewed as the cumulative distribution function (cdf) of the conditionalShannon capacity. Notice that the last equality of the aboveequation follows from the fact that C(X; Y|A) is a continuousfunction ... phenomenon is s imilar to the cor-responding one in the case of the Rayleigh fading channels(cf. [2, Example 3]).Figure 4 shows the relationship between the lower bound of the channel capacity...

Báo cáo toán học: "On the Domination Number of a Random Graph" docx

... V iseither in γ or is adjacent to a vertex in γ.Thedomination number D of G is the size of a dominating set of smallest cardinality. Domination has been the subject of extensiveresearch; see ... zero asn →∞. The treatises of Bollob´as [2] and Janson et al. [8] between them cover the theory of random graphs in admirable detail. Dreyer [3] generalizes some results of Nikoletseasand Spirakis ... Random GraphBen WielandDepartment of MathematicsUniversity of Chicagowieland@math.uchicago.eduAnant P. GodboleDepartment of MathematicsEast Tennessee State Universitygodbolea@etsu.eduSubmitted:...

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