scholarly journals On the Issue of Correction of Calculation Methods and Initial Hydrological and Hydro/chemical Information Input in the Process of Regulation of the Technogenic Impacts on Water Bodies

Author(s):  

Issues concerning the correctness of the currently used system of admissible discharge norms development, as well as the practice of initial hydrological and hydro/chemical information input have been considered. Required and sufficient conditions of V.A. Frolov – I.D. Rodziller and A.V. Karaushev methods application have been substantiated. The necessity of transfer to the use of combined schemes including one-dimensional, two-dimensional and threedimensional models in calculation of the admissible discharge norms has been demonstrated. The above models enable to calculate the watercourse hydrodynamic parameters in accordance with the normal water consumption morphometry provided the hydrodynamic blocks availability. Within-year and inter-year non-stationarity of the hydrological and hydro/chemical characteristics’ rows used in development of the admissible discharge norms development has been discussed, the necessity of the minimal water consumption correction in these calculations due to climate change has been proved. Assessment of correctness of the currently adopted in the admissible discharge method heterogeneity threshold for background concentrations values both by analytic methods and by the direct statistical methods (Monte-Carlo method) has been carried out. It was proved that application of non-parametric criteria in input of hydro/chemical initial information was effective. Comparative assessment of the median and average arithmetic values use in the hydro/chemical information analyzing was conducted.

2003 ◽  
Vol 10 (2) ◽  
pp. 381-399
Author(s):  
A. Yu. Veretennikov

Abstract We establish sufficient conditions under which the rate function for the Euler approximation scheme for a solution of a one-dimensional stochastic differential equation on the torus is close to that for an exact solution of this equation.


2020 ◽  
Vol 0 (0) ◽  
Author(s):  
Raffaela Capitanelli ◽  
Maria Agostina Vivaldi

AbstractIn this paper, we study asymptotic behavior of solutions to obstacle problems for p-Laplacians as {p\to\infty}. For the one-dimensional case and for the radial case, we give an explicit expression of the limit. In the n-dimensional case, we provide sufficient conditions to assure the uniform convergence of the whole family of the solutions of obstacle problems either for data f that change sign in Ω or for data f (that do not change sign in Ω) possibly vanishing in a set of positive measure.


2002 ◽  
Vol 12 (04) ◽  
pp. 709-737 ◽  
Author(s):  
A. BARBÉ ◽  
F. VON HAESELER

We generalize the concept of one-dimensional decimation invariant sequences, i.e. sequences which are invariant under a specific rescaling, to dimension N. After discussing the elementary properties of decimation-invariant sequences, we focus our interest on their periodicity. Necessary and sufficient conditions for the existence of periodic decimation invariant sequences are presented.


2017 ◽  
Vol 54 (3) ◽  
pp. 963-969 ◽  
Author(s):  
Vadim Arkin ◽  
Alexander Slastnikov

Abstract We study a problem when the optimal stopping for a one-dimensional diffusion process is generated by a threshold strategy. Namely, we give necessary and sufficient conditions (on the diffusion process and the payoff function) under which a stopping set has a threshold structure.


1977 ◽  
Vol 99 (2) ◽  
pp. 85-90 ◽  
Author(s):  
L. S. Bonderson

The system properties of passivity, losslessness, and reciprocity are defined and their necessary and sufficient conditions are derived for a class of linear one-dimensional multipower distributed systems. The utilization of power product pairs as state variables and the representation of the dynamics in first-order form allows results completely analogous to those for lumped-element systems.


2006 ◽  
Vol 16 (12) ◽  
pp. 3669-3677 ◽  
Author(s):  
YUN-QUAN KE ◽  
FENG-YAN ZHOU

In this letter, the mosaic solutions of one-dimensional Cellular Neural Networks system (CNNs) are investigated. Three types of parameters, the synaptic weights, the input terms and the threshold are properly chosen in terms of Chua's driving-point plot. Moreover, we give sufficient conditions for the existence of the mosaic solutions.


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