查看更多>>摘要：In this paper,{zn}=1acts as an interpolating sequence for Qp∩H∞.An analytic function f is constructed,and f(zn)=Σλjfz(zn)=λn,n=1,2,… for any{λn}∈l∞,where f andfz,belong to Qp∩H∞.As a result,the study achieves a comparable outcome for F(p,p-2,s)∩H∞.
查看更多>>摘要：Let f and g be two nonconstant meromorphic functions,and n be a positive integer.Iffn(z)and gn(z)share 1 CM(counting multiplicities),f(z)and g(z)share ∞ IM(ignoring multiplicities),and(N)(r,1/f)+(N)(r,1/g)=S(r,f)+S(r,g),then either f(z)=tg(z)or f(z)g(z)≡t,where tn=1.As an application,shared values problems of a meromorphic function related to its shifts and difference opera-tors are also investigated.
查看更多>>摘要：The study delves into multiplicative contractions,exploring the existence and uniqueness of common fixed points for a weakly compatible pair of mappings.Those mappings adhere to specific multiplicative contraction conditions characterized by exponents ex-pressed as fraction multiplicative metric spaces.It is noted that a metric can induce a multiplicative metric,and conversely,a multiplicative metric can give a rise to a metric on a nonempty set.As an application,another proof of the existence and uniqueness of the solution of a multiplicative initial problem is given.
查看更多>>摘要：This paper considers the one-and two-dimensional risk models with a non-stationary claim-number process.Under the assump-tion that the claim-number process satisfies the large deviations principle,the uniform asymptotics for the finite-time ruin probability of a one-dimensional risk model are obtained for the strongly subexponential claim sizes.Further,as an application of the result of one-dimensional risk model,we derive the uniform asymptotics for a kind of finite-time ruin probability in a two dimensional risk model sharing a common claim-number process which satisfies the large deviations principle.
查看更多>>摘要：In this paper,a new full-Newton step primal-dual interior-point algorithm for solving the special weighted linear complementar-ity problem is designed and analyzed.The algorithm employs a kernel function with a linear growth term to derive the search direction,and by introducing new technical results and selecting suitable parameters,we prove that the iteration bound of the algorithm is as good as best-known polynomial complexity of interior-point methods.Furthermore,numerical results illustrate the efficiency of the proposed method.
查看更多>>摘要：In this paper,we construct three classes of Clifford subsystem maximum distance separable(MDS)codes based on Reed-Solomon codes and extended generalized Reed-Solomon codes over finite fields Fq for specific code lengths.Moreover,our Clifford sub-system MDS codes are new because their parameters differ from the previously known ones.
查看更多>>摘要：In this paper,we first give the definition of the Euclidean sums of linear codes,and prove that the Euclidean sums of linear codes are Euclidean dual-containing.Then we construct two new classes of optimal asymmetric quantum error-correcting codes based on Euclidean sums of the Reed-Solomon codes,and two new classes of optimal asymmetric quantum error-correcting codes based on Euclid-ean sums of linear codes generated by Vandermonde matrices over finite fields.Moreover,these optimal asymmetric quantum error-correcting codes constructed in this paper are different from the ones in the literature.
查看更多>>摘要：Label correlations are an essential technique for data mining that solves the possible correlation problem between different la-bels in multi-label classification.Although this technique is widely used in multi-label classification problems,batch learning deals with most issues,which consumes a lot of time and space resources.Unlike traditional batch learning methods,online learning represents a promising family of efficient and scalable machine learning algorithms for large-scale datasets.However,existing online learning research has done little to consider correlations between labels.On the basis of existing research,this paper proposes a multi-label online learning algorithm based on label correlations by maximizing the interval between related labels and unrelated labels in multi-label samples.We evaluate the performance of the proposed algorithm on several public datasets.Experiments show the effectiveness of our algorithm.
查看更多>>摘要：In recent years,numerical weather forecasting has been increasingly emphasized.Variational data assimilation furnishes precise initial values for numerical forecasting models,constituting an inherently nonlinear optimization challenge.The enormity of the dataset under consideration gives rise to substantial computational burdens,complex modeling,and high hardware requirements.This paper em-ploys the Dual-Population Particle Swarm Optimization(DPSO)algorithm in variational data assimilation to enhance assimilation accu-racy.By harnessing parallel computing principles,the paper introduces the Parallel Dual-Population Particle Swarm Optimization(PDPSO)Algorithm to reduce the algorithm processing time.Simulations were carried out using partial differential equations,and compari-sons in terms of time and accuracy were made against DPSO,the Dynamic Weight Particle Swarm Algorithm(PSOCIWAC),and the Time-Varying Double Compression Factor Particle Swarm Algorithm(PSOTVCF).Experimental results indicate that the proposed PDPSO out-performs PSOCIWAC and PSOTVCF in convergence accuracy and is comparable to DPSO.Regarding processing time,PDPSO is 40％faster than PSOCIWAC and PSOTVCF and 70％faster than DPSO.
查看更多>>摘要：We theoretically study the effect of Kerr effect on the second-order nonlinearity induced transparency in a double-resonant opti-cal cavity system.We show that in the presence of the Kerr effect,as the strength of the Kerr effect increases,the absorption curve exhibits an asymmetric-symmetric-asymmetric transition,and the zero absorption point shifts with the increase of the Kerr effect.Furthermore,by changing the strength of the Kerr effect,we can control the width of the transparent window,and the position of the zero-absorption point and meanwhile change the left and right width of the absorption peak.The asymmetry absorption curve can be employed to improve the quality factor of the cavity when the frequency detuning is tuned to be around the right peak.The simple dependence of the zero-absorption point on the strength of Kerr effect suggests that the strength of Kerr effect can be measured by measuring the position of the zero-absorption point in a possible application.
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