scholarly journals Determination of the Köthe-Toeplitz Duals over the Non-Newtonian Complex Field

2014 ◽  
Vol 2014 ◽  
pp. 1-10 ◽  
Author(s):  
Uğur Kadak
Keyword(s):  
Bounded Variation ◽  
Complex Field ◽  
Classical Calculus ◽  
Köthe Space ◽  
Basic Concepts ◽  
Null Series

The important point to note is that the non-Newtonian calculus is a self-contained system independent of any other system of calculus. Therefore the reader may be surprised to learn that there is a uniform relationship between the corresponding operators of this calculus and the classical calculus. Several basic concepts based on non-Newtonian calculus are presented by Grossman (1983), Grossman and Katz (1978), and Grossman (1979). Following Grossman and Katz, in the present paper, we introduce the sets of bounded, convergent, null series andp-bounded variation of sequences over the complex fieldC*and prove that these are complete. We propose a quite concrete approach based on the notion of Köthe-Toeplitz duals with respect to the non-Newtonian calculus. Finally, we derive some inclusion relationships between Köthe space and solidness.

scholarly journals Implementation and application of E-technologies in enterprise environment

2007 ◽  
Vol 55 (3) ◽  
pp. 67-74
Author(s):  
Roman Malo
Keyword(s):  
Short Time Period ◽  
Logical Model ◽  
System A ◽  
Theoretical System ◽  
Time Period ◽  
Business Area ◽  
Basic Concepts ◽  
Short Time ◽  
Base Platform

Nowadays, a problem of an e- technologies’ implementation represents one of the most important questions that are being solved within various subjects from business area. With respect of massive implementation of activities as e- commerce, e- payments and others the e- technologies’ implementation is the progressive way of these subjects’ expansion. However, due to relatively short time period in which enterprise subjects have solved there is a set of vague aspects going together with this problem. The paper analyses the area of e- technologies and defines relations between basic concepts. Following this theoretical system a few hypothesis are constructed and used as a base platform for a determination of the logical model for implementation of e- technologies in enterprise environment.

Basic Concepts of Nanoemulsion and its Potential application in Pharmaceutical, Cosmeceutical and Nutraceutical fields

2021 ◽  
pp. 3938-3946
Author(s):  
Heba S. Elsewedy ◽  
Bandar E. Al-Dhubiab ◽  
Mahmoud A. Mahdy ◽  
Hanan M. Elnahas
Keyword(s):  
Drug Delivery ◽  
Colloidal Dispersions ◽  
Immiscible Liquids ◽  
Pharmaceutical Dosage Form ◽  
Regulatory Aspects ◽  
Conventional Drug ◽  
Emulsifying Agent ◽  
Basic Concepts ◽  
Physical And Chemical

One of the widely efficient and noteworthy nanocarriers that could draw a great attention toward pharmaceutical fields is nanoemulsions (NEs). NEs are thermodynamically stable colloidal dispersions composed of two immiscible liquids, oil and water that mixed together using emulsifying agent (surfactant and co-surfactant). It regarded as pharmaceutical dosage form having droplet size within a nanometer range, hence it has extensively considered as carrier for delivering active agents. Such carrier is fabricated in order to overcome some obstacles associated with conventional drug delivery systems especially low bioavailability. The objective of this review is to present an overview about NE and its latest applications in diverse areas such as drug delivery, cosmeceutical and nutraceutical. Clarifications about different mechanisms of NEs development that are frequently used were provided. Correspondingly, popular characterization techniques for NEs such as determination of particle size, polydispersity index (PDI), zeta potential and viscosity were reviewed. Eventually, summary of physical and chemical instability in addition to the regulatory aspects of NE were provided.

Configurations of Robot’s Manipulators and Their Identification, and the Execution of Prescribed Trajectories. Part 1: Basic Concepts

1985 ◽  
Vol 107 (2) ◽  
pp. 170-178 ◽  
Author(s):  
F. L. Litvin ◽  
V. Parenti Castelli
Keyword(s):  
Degrees Of Freedom ◽  
Equation System ◽  
New Method ◽  
Basic Concepts

The authors have proposed a new method for the determination of all potential configurations which may be formed by the manipulator links, the identification of these configurations, and execution of prescribed trajectories. The key to the solution of these problems is the determination of special link positions and the representation of the Jacobian for these positions as a product of sub-Jacobians. The special link positions are considered separately for the two cases when the special link positions occur: (a) by the execution of the prescribed trajectory and (b) by the execution of the trajectory and the orientation of the gripper. Using the information on the special link positions of the manipulator it is possible to determine all versions of assembly of the manipulator (all of its configurations), identify them, and compose six independent equations for the execution of the prescribed trajectories. The structure of the equation system depends on the structure of the determinant for the special link positions. The proposed method was applied for the Unimation Puma manipulator (Part 1) and for other manipulators with various numbers of degrees of freedom (see Part 2).

Singularities in Motion and Displacement Functions for the RCRCR RCRRC and RSRC Linkages: Part I — Basic Concepts

1987 ◽  
Author(s):  
F. L. Litvin ◽  
J. Tan ◽  
P. Fanghella ◽  
S. Wu
Keyword(s):  
Design Parameters ◽  
New Approach ◽  
Kinematic Chains ◽  
Linkage Design ◽  
Spatial Linkages ◽  
Basic Concepts ◽  
Scalar Products

Abstract A new approach for the determination of singularities in motion of spatial linkages, displacement functions and the number of linkage configurations is proposed. Singularities in motion occur at positions where an overconstrained group of links become movable at least locally while the driving link is fixed. The determination of displacement functions is based on modeling of the linkage by two open kinematic chains formed: (i) by links of an overconstrained group of links and (ii) the driving link and the frame. Conditions of “assembly” of the open chains provide invariants-scalar products-that yield the appropriate equations that relate the parameters in motion of the driving link and the overconstrained group of links. The number of linkage configurations is proposed to determine through the number of singularity positions that are simulated with a certain combination of the linkage design parameters. Applications of the proposed approach to the RCRCR, RCRRC and RSRC linkages are represented in the following parts 2, 3 and 4 of the paper.

Automorphisms of Finite Linear Groups

1960 ◽  
Vol 12 ◽  
pp. 606-615 ◽  
Author(s):  
Robert Steinberg
Keyword(s):  
Unitary Groups ◽  
Linear Groups ◽  
Arbitrary Field ◽  
Complex Field ◽  
Exceptional Groups ◽  
Case Discussions ◽  
First Time ◽  
Finite Linear ◽  
Uniform Treatment

By the methods used heretofore for the determination of the automorphisms of certain families of linear groups, for example, the (projective) unimodular, orthogonal, symplectic, and unitary groups (7, 8), it has been necessary to consider the various families separately and to give many case-by-case discussions, especially when the underlying vector space has few elements, even though the final results are very much the same for all of the groups. The purpose of this article is to give a completely uniform treatment of this problem for all the known finite simple linear groups (listed in §2 below). Besides the * ‘classical groups” mentioned above, these include the “exceptional groups,” considered over the complex field by Cartan and over an arbitrary field by Dickson, Chevalley, Hertzig, and the author (3, 4, 5, 6, 10, 15). The automorphisms of the latter groups are given here for the first time.

scholarly journals CONSEQUENCES OF THE MIGRANT CRISIS

2019 ◽  
Vol 30 (6) ◽  
pp. 1427-1435
Author(s):  
Hatidza Berisha ◽  
Milenko Dzeletovic ◽  
Vladimir Tomasevic
Keyword(s):  
European Union ◽  
Middle East ◽  
Asylum Seekers ◽  
Country Of Origin ◽  
The European Union ◽  
The Status ◽  
Basic Concepts ◽  
The Republic ◽  
Migration Crisis

In daily communication are often used terms, such as migration, immigrants, refugees, emigrants, asylum seekers and similar, which in principle denote persons living outside the country of origin and their properties. However, there is often a lack of understanding in the perception and distinction between these terms, which in academic practice necessarily requires the determination of the scope and content of those terms. Therefore, we should try to point out the content and scope of concepts that define the status of migrants in the modern world.The paper deals with the basic concepts of migration, as well as the main features of the current migration crisis, with the focus on the consequences of the migrant crisis in the Republic of Serbia and the evinced security implications are described.The aim of the paper is to point out the most important consequences of the migrant crisis in the Republic of Serbia and to assess the possible future implications of the migrant crisis, which is primarily conditioned by the the degree and dynamics of solving problems in the Middle East, political and other decisions and measures of the European Union and neighboring countries.

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