Approximate method for piece-wise smooth point transformations

The epoch of the big data presents many opportunities for the development in the range of data science, biomedical research cyber security, and cloud computing. Nowadays the big data gained popularity. It also invites many provocations and upshot in the security and privacy of the big data. There are various type of threats, attacks such as leakage of data, the third party tries to access, viruses and vulnerability that stand against the security of the big data. This paper will discuss about the security threats and their approximate method in the field of biomedical research, cyber security and cloud computing.

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Similarity problems of the theory of unsteady concentration boundary layer

Collection of Czechoslovak Chemical Communications ◽

10.1135/cccc19832751 ◽

1983 ◽

Vol 48 (10) ◽

pp. 2751-2766

Author(s):

Ondřej Wein ◽

N. D. Kovalevskaya

Keyword(s):

Boundary Layer ◽

Approximate Method ◽

Steady Flow ◽

Broad Class ◽

Concentration Boundary Layer ◽

Concentration Change ◽

Concentration Boundary ◽

Flow Problems

Using a new approximate method, transient course of the local and mean diffusion fluxes following a step concentration change on the wall has been obtained for a broad class of steady flow problems.

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Poisson Brackets & Angular Momentum

10.1093/oso/9780198822370.003.0017 ◽

2018 ◽

Author(s):

Peter Mann

Keyword(s):

Generating Functions ◽

First Integrals ◽

Lagrangian Mechanics ◽

Poisson Brackets ◽

Coordinate Transformations ◽

Canonical Transformations ◽

Gauge Transformations ◽

The Third ◽

Point Transformations ◽

Canonical Coordinate

This chapter discusses canonical transformations and gauge transformations and is divided into three sections. In the first section, canonical coordinate transformations are introduced to the reader through generating functions as the extension of point transformations used in Lagrangian mechanics, with the harmonic oscillator being used as an example of a canonical transformation. In the second section, gauge theory is discussed in the canonical framework and compared to the Lagrangian case. Action-angle variables, direct conditions, symplectomorphisms, holomorphic variables, integrable systems and first integrals are examined. The third section looks at infinitesimal canonical transformations resulting from functions on phase space. Ostrogradsky equations in the canonical setting are also detailed.

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Improvement of the Approximate Method for the Comparison Operation in the RNS

2020 International Conference Engineering and Telecommunication (En&T) ◽

10.1109/ent50437.2020.9431290 ◽

2020 ◽

Author(s):

Egor Shiryaev ◽

Elena Golimblevskaia ◽

Mikhail Babenko ◽

Andrei Tchernykh ◽

Bernardo Pulido-Gaytan

Keyword(s):

Approximate Method ◽

Comparison Operation

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The study of the nonlinear vibration of S-S and C-C laminated composite conical shells on elastic foundations through an approximate method

Proceedings of the Institution of Mechanical Engineers Part C Journal of Mechanical Engineering Science ◽

10.1177/09544062211021439 ◽

2021 ◽

pp. 095440622110214

Author(s):

Shahin Mohammadrezazadeh ◽

Ali Asghar Jafari

Keyword(s):

Boundary Conditions ◽

Nonlinear Vibration ◽

Approximate Method ◽

Laminated Composite ◽

Vertex Angle ◽

Nonlinear Frequency ◽

Conical Shells ◽

Elastic Foundations ◽

Vibration Responses ◽

Comparison Of The Results

This paper investigates the nonlinear vibration responses of laminated composite conical shells surrounded by elastic foundations under S-S and C-C boundary conditions via an approximate approach. The laminated composite conical shells are modeled based on classical shell theory of Love employing von Karman nonlinear theory. Nonlinear vibration equation of the conical shells is extracted by handling Lagrange method. The linear and nonlinear vibration responses are obtained via an approximate method which combines Lindstedt-Poincare method with modal analysis. The validation of this study is carried out through the comparison of the results of this study with results of published literature. The effects of several parameters including the constants of elastic foundations, boundary conditions, total thickness, length, large edge radius and semi-vertex angle on the values of fundamental linear frequency and curves of amplitude parameter versus nonlinear frequency ratio for laminated composite conical shells with both S-S and C-C boundary conditions are investigated.

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