scholarly journals On Some Global Solution of the Basic Equations in the Geodesic Mappings' Theory of Riemannian Spaces

2020 ◽  
Vol 8 (6) ◽  
pp. 693-698
Author(s):  
E. N. Sinyukova ◽  
O. L. Chepok
Keyword(s):  
Global Solution ◽  
Basic Equations ◽  
Riemannian Spaces

scholarly journals Infinitesimal rotary transformation

Filomat ◽  
2019 ◽  
Vol 33 (4) ◽  
pp. 1153-1157
Author(s):  
Lenka Rýparová ◽  
Josef Mikes
Keyword(s):  
Riemannian Space ◽  
Basic Equations ◽  
Fundamental Equations ◽  
Principal Parts ◽  
Infinitesimal Transformations ◽  
Riemannian Spaces

The paper is devoted to further study of a certain type of infinitesimal transformations of twodimensional (pseudo-) Riemannian spaces, which are called rotary. Aninfinitesimal transformation is called rotary if it maps any geodesic on (pseudo-) Riemannian space onto an isoperimetric extremal of rotation in their principal parts on (pseudo-) Riemannian space. We study basic equations of the infinitesimal rotary transformations in detail and obtain the simpler fundamental equations of these transformations.

scholarly journals Geodesic mappings of quasi-Einstein spaces with a constant scalar curvature

2020 ◽  
Vol 53 (2) ◽  
pp. 212-217 ◽  
Author(s):  
V. A. Kiosak ◽  
G. V. Kovalova
Keyword(s):  
Scalar Curvature ◽  
Linear Form ◽  
Constant Scalar Curvature ◽  
Tensor Form ◽  
Metric Tensor ◽  
Einstein Spaces ◽  
Basic Equations ◽  
Riemannian Spaces

In this paper we study a special type of pseudo-Riemannian spaces - quasi-Einstein spaces of constant scalar curvature. These spaces are generalizations of known Einstein spaces. We obtained a linear form of the basic equations of the theory of geodetic mappings for these spaces. The studies are conducted locally in tensor form, without restrictions on the sign and signature of the metric tensor.

FURTHER CONSIDERATIONS ON THE CALCULATIONS OF SECRETION RATES. A CORRECTION

1961 ◽  
Vol 38 (3) ◽  
pp. 469-472 ◽  
Author(s):  
K. R. Laumas ◽  
J. F. Tait ◽  
S. A. S. Tait
Keyword(s):  
Steady State ◽  
Compartmental Model ◽  
Single Injection ◽  
Previous Treatment ◽  
Urinary Metabolite ◽  
Theoretical Treatment ◽  
Basic Equations ◽  
Special Circumstances ◽  
Secretion Rates

ABSTRACT Reconsideration of the question of the validity of the calculations of the secretion rates from the specificity activity of a urinary metabolite after the single injection of a radioactive hormone has led us to conclude that the basic equations used in a previous theoretical treatment are not generally applicable to the nonisotopic steady state if the radioactive steroid and hormone are introduced into the same compartment. If this is so, in a two compartmental model with metabolism occurring in both pools, it is now shown that the calculation (S = R — τ) is rigorously valid if certain precautions are taken. This is in contrast to the previous treatment which concluded (in certain special circumstances) that the calculation might not be correct. However, if the hormone is secreted in both compartments and the radioactive steroid is injected into only one, then the calculation (S = R — τ) may not be correct in certain circumstances as was previously concluded (Laumas et al. 1961).

Global Solution of Today: A sociological perspective

2008 ◽  
Vol 1 ◽  
pp. 193-211
Author(s):  
Netra Narayan Poudel
Keyword(s):  
Global Solution ◽  
Sociological Perspective

No abstract available. Himalayan Journal of Sociology & Anthropology Vol.1 2004, p.193-211

Global sludge management: a status report and perspective

1994 ◽  
Vol 30 (8) ◽  
pp. 73-80 ◽  
Author(s):  
L. Spinosa ◽  
E. S. Kempa ◽  
N. Okuno ◽  
P. A. Vesilind
Keyword(s):  
Global Solution ◽  
Environmental Quality ◽  
Complex Problem ◽  
Status Report ◽  
Sludge Management ◽  
Site Specific ◽  
Quality Requirements ◽  
Agricultural Use ◽  
Disposal Options

Sludge management is a more and more complex problem due to increased difficulties in locating disposal works and meeting more stringent environmental quality requirements. The most recent notable developments in conventional processing systems have regarded dewatering and stabilization, which remain essential prerequisites to any disposal method. With the increasing pressure on disposal options, such as agricultural use and landfilling, there has been a resurgence of interest in incineration. New processes and alternative uses have been proposed and experienced, but most of them still require further investigations to evaluate effectiveness and reliability. In any case, it is not realistic to search for a global solution to the problem, but the best solutions must derive from local and site-specific considerations.

scholarly journals e-Navigating in highly-constrained waters: a case study of the Vistula Lagoon

2021 ◽  
pp. 1-10
Author(s):  
Adam Weintrit ◽  
Jacek Pietraszkiewicz ◽  
Wiesław Piotrzkowski ◽  
Wojciech Tycholiz
Keyword(s):  
High Resolution ◽  
Global Solution ◽  
Transition Process ◽  
Practical Implementation ◽  
Vistula Lagoon ◽  
Digital Era ◽  
High Resolution Bathymetry ◽  
Marine Navigation ◽  
The Vistula Lagoon

Abstract In recent years the transition of marine navigation to the digital era has been gaining momentum. Implementation of e-Navigation solutions varies from country to country in terms of their priorities, goals, levels and effects. Maritime authorities in Poland have been setting the pace in this transition process, not only in Poland but also in general as a global solution. The most recent example is the planned deployment of a variety of e-Navigation tools in the Vistula Lagoon: from GNSS-RTK Ground-Based Augmentation System, to virtual and synthetic aids to navigation, high-resolution bathymetry and advanced navigational software for piloting. The major objectives of this paper are, first, to summarise recent dynamics in the e-Navigation field, and second, to present a practical implementation of the e-Navigation concept in the Vistula Lagoon area.

scholarly journals Global existence and dynamic structure of solutions for damped wave equation involving the fractional Laplacian

2021 ◽  
Vol 54 (1) ◽  
pp. 245-258
Author(s):  
Younes Bidi ◽  
Abderrahmane Beniani ◽  
Khaled Zennir ◽  
Ahmed Himadan
Keyword(s):  
Wave Equation ◽  
Global Solution ◽  
Fractional Laplacian ◽  
Necessary Conditions ◽  
Dynamic Structure ◽  
Decay Estimates ◽  
Damped Wave Equation ◽  
Structure Of Solutions ◽  
Nonlinear Source ◽  
Galerkin Approximations

Abstract We consider strong damped wave equation involving the fractional Laplacian with nonlinear source. The results of global solution under necessary conditions on the critical exponent are established. The existence is proved by using the Galerkin approximations combined with the potential well theory. Moreover, we showed new decay estimates of global solution.

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