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91.
An explanatory model class belonging to the family of Space-Time Transfer Function-Noise (STTFN) process is presented. The paper develops a three-stage iterative procedure for building STTFN models of the rainfall-runoff process. Four precipitation and runoff stations located in a watershed in southern Ontario, Canada, sampled at 15-day intervals are used for the numerical analysis. Three STTF models are identified. The model parameters are estimated by the polytope technique, a nonlinear optimization algorithm. Two of the developed space-time models proved adequate in describing the spatio-temporal characteristics of precipitation and runoff time series. 相似文献
92.
Kazimierz Malanowski 《Applied Mathematics and Optimization》1984,12(1):1-14
A family of convex, control constrained optimal control problems that depend on a real parameter is considered. It is shown that under some regularity conditions on data the solutions of these problems, as well as the associated Lagrange multipliers are directionally differentiable with respect to parameter. The respective right-derivatives are given as the solution and the associated Lagrange multipliers for some quadratic optimal control problem. If a condition of strict complementarity type hold, then directional derivatives become continuous ones. 相似文献
93.
Kazimierz W?odarczyk Robert Plebaniak 《Journal of Mathematical Analysis and Applications》2008,339(1):344-358
In uniform spaces, inspired by ideas of Banach, Tarafdar and Yuan, we introduce the concepts of generalized pseudodistances and generalized gauge maps, for set-valued dynamic systems we define various nonlinear asymptotic contractions and contractions with respect to these pseudodistances and gauges, provide conditions on the iterates of these set-valued dynamic systems and present a method which is useful for establishing conditions guaranteeing the existence and uniqueness of endpoints (stationary points) of these set-valued dynamic systems and conditions that each generalized sequence of iterations (in particular, each dynamic process) converges and the limit of a generalized sequence of iterations is an endpoint. The definitions, the results and the method are new for set-valued dynamic systems in uniform, locally convex and metric spaces and even for single-valued maps. The paper includes a number of various examples which show a fundamental difference between our results and those existing in the literature. 相似文献
94.
Thomas Busch Berthold-Georg Englert Kazimierz Rzażewski Martin Wilkens 《Foundations of Physics》1998,28(4):549-559
Two ultracold atoms moving in a trap interact weakly at a very short distance. This interaction can be modeled by a properly regularized contact potential. We solve the corresponding time-independent Schrödinger equation under the assumption of a parabolic, spherically symmetric trapping potential. 相似文献
95.
96.
The aim of the present paper is to find a necessary and sufficient condition for the existence of the operator of the total number of particles in a representation of canonical commutation relations. The result is formulated by means of generating functionals of representations. It is shown that an irreducible representation possesses a (generalized) number operator if and only if the representation obtained by averaging its generating functional over the group of phase transformations is a factor representation of type I. 相似文献
97.
The paper applies generalized power series to determine effectively the lower critical hydrostatic pressure for imperfect cylindrical shells. The basic equations were assumed in the form derived by W.A. Nash. Two variants as regards the number of circumferential half-wavelengths are discussed: m constant during buckling, thus corresponding to upper critical pressure, and m furnishing minimal value of lower critical pressure. It is found that the dependence of lower critical pressure on an imperfection parameter V is linear, i.e. smaller than in the case of the upper critical pressure which decreases with . 相似文献
98.
Malgorzata Zieba Daria Wieczorek Emilia Klimaszewska Anna Malysa Dobrawa Kwasniewska 《Journal of Dispersion Science and Technology》2013,34(8):1189-1196
AbstractThe purpose of the study was to applicate new synthesized zwitterionic surfactants as hair shampoo components. Hair shampoos formulated for the study contained newly synthesized sulfobetaines at a concentration of 2%. The above additives were evaluated to determine their effect on shampoo dynamic viscosity, texture, yield stress, foaming properties and surface tension of aqueous shampoo solutions. The viscosity of the sulfobetaine-enriched hair shampoos ranged between 6,000 and 21,000?mPa·s, which ensures the required application properties of the formulated products. The yield stress in three prototypical shampoos was equal to approximately 10?Pa, which represents the minimum value that should characterize cosmetics of this type. The sulfobetaines added to the formulations were not found to significantly affect the parameters of hardness and adhesive force. All the formulations under study, except for the shampoo containing N-dodecyl-N-piperidinium-1-propanesulfonate, exhibited good foaming properties. The incorporation of sulfobetaines into hair shampoos contributes to an effective decrease in the surface tension of their aqueous solutions, which may indicate beneficial washing properties. The use of the proposed sulfobetaines in hair shampoos favorably modifies their physicochemical and functional properties. The findings of the study can provide useful insights for the formulation of hair shampoos containing zwitterionic surfactants. 相似文献
99.
Yanfei Yang Xiaodan Cao Kazimierz Surowiec Richard A. Bartsch 《Journal of inclusion phenomena and macrocyclic chemistry》2014,78(1-4):387-395
Four cone p-tert-butylcalix[4]arene-1,3-monothiacrown-5 ligands each with two N-(X)sulfonyl carbamoylmethoxy side arms are synthesized for comparison with analogs having only oxygen heteroatoms in the crown ether ring. Solvent extractions of hard alkali metal and alkaline earth metal cations, intermediate Pb2+, and soft Hg2+ from aqueous solutions into chloroform by these ligands are utilized to probe the effects of sulfur replacement in the crown ether ring on metal ion complexation. 相似文献
100.
Zhou H Liu D Gega J Surowiec K Purkiss DW Bartsch RA 《Organic & biomolecular chemistry》2007,5(2):324-332
Two carboxylic acid or N-(X)sulfonyl carboxamide groups were incorporated into calix[4]arene-crown-6 compounds to afford di-ionizable ligands for use in divalent metal ion separations. Acidities of the N-(X)sulfonyl carboxamide groups were tuned by variation of the electron-withdrawing properties of X. Cone, partial-cone and 1,3-alternate conformations were obtained by different synthetic strategies and their structures verified by NMR spectroscopy. Competitive solvent extractions of alkaline earth metal cations from aqueous solutions into chloroform were performed and the results compared with those reported previously for di-ionizable p-tert-butylcalix[4]arene-crown-6 analogues to probe the influence of the para-substituent on the calix[4]arene scaffold on extraction selectivity and efficiency. 相似文献