Search Results

You are looking at 51 - 60 of 213 items for :

  • "monotonicity" x
  • All content x
Clear All

Abstract

A definition of a generalized quotient topology is given and some characterizations of this concept, up to generalized homeomorphisms, are furnished. For the first approach, we exhibit a monotonic map spanning that generalized quotient topology. We also prove that the notions of generalized normality and generalized compactness are preserved by those quotient structures.

Restricted access

Summary  

There is a formula for the interior of a set in a generalized topology composed of the γ-open sets, where γ is a monotonic map in the power set of X. There are known conditions for a γ assuring that this formula is valid. The paper gives essential generalizations for these conditions and contains some applications.

Restricted access

Abstract  

The kinetics of homogeneous electron exchange Eu3+/Eu2+ has been investigated in 1M HClO4, water+dimethylformamide (DMF) mixed solvent by using labeled europium. Non-monotonic variations of the electron exchange rate constants as a function of the solvent composition was observed.

Restricted access

Abstract

Let {X,X n; n≧1} be a sequence of B-valued i.i.d. random variables. Denote if ∥X m∥ is the r-th maximum of {∥X k∥; kn}, and let be the trimmed sums, where . Given a sequence of positive constants {h(n), n≧1}, which is monotonically approaching infinity and not asymptotically equivalent to loglogn, a limit result for is derived.

Restricted access

Резуме  

Получены точные неравенства для рядов Матяе. Установлена связя между неравенствами для рядов Матяе и положителяно определенными и вполне монотонными функциями.

Restricted access

Double-double effect and the coordination number

I. Protonated and non-protonated lanthanide(III) chelates of trans-1,2-diaminocyclohexanetetraacetic acid

Journal of Radioanalytical and Nuclear Chemistry
Author: T. Mioduski

Abstract  

The thermodynamics of protonation of the lanthanide(III) chelates of trans-1,2-diaminocyclohexanetetraacetic acid (LnDCTA) was studied by potentiometric titration at the ionic strength of 1 (KCl). The protonation constants determined change monotonically and the double-double effect in the log K against Z variation is manifested in all four segments of the lanthanide series. The variations of the protonation enthalpy and entropy with Z are estimated to be also monotonical. The direction of the double-double effect observed indicates that the coordination number in the protonated chelates is higher by 1 in the entire series than in non-protonated chelates i. e. the protonation is accompanied by the coordination of the additional water molecule. The coordination number 10 is expected for the HLnDCTA chelates at least at the beginning of the series. Presumably the present conclusions are valid also for the LnEDTA system.

Restricted access

Abstract  

This study utilized artificial neural network (ANN) to explore the nonlinear influences of firm size, profitability, and employee productivity upon patent citations of the US pharmaceutical companies. The results showed that firm size, profitability, and employee productivity of the US pharmaceutical companies had the nonlinearly and monotonically positive influences upon their patent citations. Therefore, if US pharmaceutical companies want to enhance their innovation performance, they should pay attention on their firm size, profitability, and employee productivity.

Restricted access

Abstract  

Given a multiobjective optimization problem with the components of the objective function as well as the constraint functions being composed convex functions, we introduce, by using the Fenchel-Moreau conjugate of the functions involved, a suitable dual problem. Under a standard constraint qualification and some convexity as well as monotonicity conditions we prove the existence of strong duality. Finally, some particular cases of this problem are presented.

Restricted access

Abstract  

In lithium borate glasses RLi2OB2O3 (0 R<0.4), the following experimental results were obtained: 1. The density increases monotonically with increasing R. 2. Both velocities of longitudinal and transverse ultrasonic waves increase monotonically with increasing R. 3. The elastic constants such as bulk modulus and Young's modulus increase monotonically with increasing R. 4. The linear expansion coefficient shows a broad minimum at around R=0.25. 5. The Poisson ratio shows a minimum at around R=0.10 and a maximum at around R=0.20. 6. Each of the temperature coefficients of velocities for longitudinal and transverse ultrasonic waves shows a sharp minimum at R=0.10 and a sharp change in slope at R=0.20. The experimental results 1, 2 and 3 can be ascribed to a change in short-range order groups. The experimental result 4 is ascribable to the most compact configuration at around R=0.25. The experimental results 5 and 6 are ascribable to a change in crosslink between six-membered borate rings.

Restricted access

Abstract  

Insertion of lattice-valued functions in a monotone manner is investigated. For L a ⊲-separable completely distributive lattice (i.e. L admits a countable base which is free of supercompact elements), a monotone version of the Katětov-Tong insertion theorem for L-valued functions is established. We also provide a monotone lattice-valued version of Urysohn’s lemma. Both results yield new characterizations of monotonically normal spaces. Moreover, extension of lattice-valued functions under additional assumptions is shown to characterize also monotone normality.

Restricted access