scholarly journals Mathematical model for recovering discrete parts of a text message

2021 ◽  
Author(s):  
Anastasia Malashina
Keyword(s):  
Mathematical Model ◽  
Theoretical Model ◽  
Text Message ◽  
Short Length ◽  
Statistical Properties ◽  
Theoretical Studies ◽  
Mathematical Properties ◽  
Unknown Source ◽  
Source Message

Abstract The paper studies the procedure for restoring discreet segments of an unknown source message based on information about possible variants of each sign. An algorithm is proposed based on compiling dictionaries of appropriate lengths, searching for text sections with a total number of character variants that do not exceed a given boundary, and then iterating through and eliminating false variants of dictionary values. Statistical properties of short-length text dictionaries are investigated, and extrapolation estimates are made for long-length texts. The main mathematical properties of this algorithm are described. Theoretical studies of the effectiveness of the procedure under consideration are carried out within the framework of a certain probability-theoretical model.

Theoretical studies on capillary microviscometry of skeletal muscle actin

1983 ◽  
Vol 3 (2) ◽  
pp. 195-206
Author(s):  
Mitsuhiko Masuhara ◽  
Hiroyuki Yokoyama ◽  
Noriyuki Tatsumi
Keyword(s):  
Mathematical Model ◽  
Skeletal Muscle ◽  
Large Volume ◽  
Theoretical Studies ◽  
Muscle Actin

For improving Ostwald's viscometry, which is time-consuming and requires a relatively large volume of specimen to determine viscosity, we developed a capillary microviscometric method with an appropriate mathematical model, and have compared this method with Ostwald's method.

Theoretical model of gain calculation of active photonic-crystal microcavity waveguide

2021 ◽  
pp. 2150191
Author(s):  
Ting-Wei Gu ◽  
Chun Jiang
Keyword(s):  
Photonic Crystal ◽  
Theoretical Model ◽  
Pump Power ◽  
High Gain ◽  
Short Length ◽  
Dielectric Slab ◽  
Efficient Utilization ◽  
Level Atom ◽  
Background Material ◽  
Photonic Crystal Microcavity

In this paper, we propose an active photonic-crystal microcavity waveguide with two-level atom-doped-dielectric slab as background material, and derive the model for signal gain calculation and analyze its gain characteristics. The analytical results show that the structure can generate high gain in a short length because of the efficient utilization of pump power in the microcavity. The proposed waveguide will be promising for the development of an active integrated photonic system.

scholarly journals A New Approach to Decoupled Non-Resonant Polishing

Micromachines ◽  
2019 ◽  
Vol 10 (7) ◽  
pp. 484
Author(s):  
Yucheng Li ◽  
Xiaoqin Zhou ◽  
Guilian Wang ◽  
Peiqun Ma ◽  
Rongqi Wang
Keyword(s):  
Theoretical Model ◽  
Vibration Frequency ◽  
Theoretical Studies ◽  
Workpiece Surface ◽  
New Approach ◽  
Structured Surfaces ◽  
Processing Demands ◽  
The Stability ◽  
Polishing Tool ◽  
Very High

Two-dimensional vibration-assisted polishing (2D-VAP) is a new polishing approach proposed in recent years, which is considered to be very suitable for the polishing of micro-optical parts and micro-structured surfaces. The advantages of the 2D-VAP approach are as follows: A very high relative velocity can be obtained between the workpiece and the polishing tool; the desired motion trajectory can be formed in one polishing cycle. However, there are still some problems to be solved in the 2D-VAP approach, mainly involving: The vibration frequency of the resonant excitation cannot be regulated, which makes it difficult to adapt to the processing demands of different materials; the theoretical model of removal function has been studied in few papers; and motion coupling occurs easily between the horizontal and vertical directions, which affects the trajectory synthesized at the polishing tool. In order to solve these problems, a new approach to decoupled non-resonant polishing is developed in this paper, and its effectiveness is investigated by the theoretical analysis and polishing experiments. Theoretical studies of removal function show that the vibration frequency, vibration amplitude and loading force are proportional to the removal depth. The comparison of experimental and modeling results of removal function show that they have good coherence, and the correctness of the theoretical model of removal function is verified. In addition, the stability experiments of removal function prove that the polishing approach has better stability and is beneficial to the convergence of workpiece surface.

Review of theoretical modelling approaches of Rayleigh–Taylor instabilities and turbulent mixing

2010 ◽  
Vol 368 (1916) ◽  
pp. 1809-1828 ◽  
Author(s):  
Snezhana I. Abarzhi
Keyword(s):  
Turbulent Mixing ◽  
Statistical Properties ◽  
Momentum Transport ◽  
Theoretical Modelling ◽  
Theoretical Studies ◽  
Mixing Process ◽  
Physical Intuition ◽  
New Ideas ◽  
Theoretical Developments ◽  
Modelling Approaches

We review the theoretical developments in the field of Rayleigh–Taylor instabilities and turbulent mixing, discuss what is known and what is not known about the phenomenon, and outline the features of similarity of the turbulent mixing process. Based on the physical intuition and on the results of rigorous theoretical studies, we put forward some new ideas on how to grasp the essentials of the mixing process and consider the influence of momentum transport on the invariants and on scaling and statistical properties of the unsteady turbulent mixing.

Central burst defect analysis of the wire-drawing process using an accumulated damage parameter

2001 ◽  
Vol 215 (11) ◽  
pp. 1313-1319 ◽  
Author(s):  
P Phelan ◽  
J Brandon ◽  
M Hillery
Keyword(s):  
Theoretical Model ◽  
Wire Drawing ◽  
Damage Parameter ◽  
Theoretical Studies ◽  
Drawing Process ◽  
Defect Analysis ◽  
Material Instability ◽  
Accumulated Damage ◽  
Experimental And Theoretical Studies ◽  
Modelling Approach

The paper reviews the theoretical and empirical basis for predicting central burst defects in wire drawing under varying die semi-angle conditions. These are used to develop a numerical modelling approach, which results in an accumulated damage criterion to predict material instability. The predictions from the resulting theoretical model are consistent with previous experimental and theoretical studies in the literature.

scholarly journals Water ow on vegetated hill. 1D shallow water equation type model

2015 ◽  
Vol 23 (3) ◽  
pp. 83-96 ◽  
Author(s):  
Stelian Ion ◽  
Dorin Marinescu ◽  
Anca Veronica Ion ◽  
Stefan Gicu Cruceanu ◽  
Virgil Iordache
Keyword(s):  
Mathematical Model ◽  
Shallow Water ◽  
Numerical Approximation ◽  
Approximation Scheme ◽  
Shallow Water Equation ◽  
Simplified Model ◽  
Type Model ◽  
Curvature Radius ◽  
Geometrical Properties ◽  
Mathematical Properties

Abstract A mathematical model for the water ow on a hill covered by variable distributed vegetation is proposed in this article. The model takes into account the variation of the geometrical properties of the terrain surface, but it assumes that the surface exhibits large curvature radius. After describing some theoretical properties for this model, we introduce a simplified model and a well-balanced numerical approximation scheme for it. Some mathematical properties with physical relevance are discussed and finally, some numerical results are presented.

A Theoretical Model of Infant Incubator Dynamics

1994 ◽  
Vol 116 (3) ◽  
pp. 263-269 ◽  
Author(s):  
Barry N. Simon ◽  
Narender P. Reddy ◽  
Anand Kantak
Keyword(s):  
Mathematical Model ◽  
Heart Rate ◽  
Computer Simulation ◽  
Heat Capacity ◽  
Thermal Properties ◽  
Theoretical Model ◽  
Parametric Analysis ◽  
Control Mechanisms ◽  
Air Flow Rate ◽  
Infant Incubator

A spatially lumped mathematical model was developed and used for a computer simulation of the neonate-incubator system for parametric analysis of the factors that influence neonatal thermo-regulation. The simulation examined the effects of the following parameters: (1) size of the infant; (2) respiratory rate; (3) metabolic rate; (4) heart rate; (5) thermal properties of the mattress; (6) specific heat capacity of the incubator wall; (7) air flow rate; (8) heater control mechanisms.

Random spherical triangles I: Geometrical background

1989 ◽  
Vol 21 (3) ◽  
pp. 570-580
Author(s):  
Huiling Le
Keyword(s):  
Mathematical Model ◽  
Shape Space ◽  
Companion Paper ◽  
Statistical Properties ◽  
Data Sets ◽  
Riemannian Structure ◽  
Geometric Structures ◽  
Fundamental Properties ◽  
Random Mechanism ◽  
Spherical Triangles

In this paper we identify the shape space Σ(S2, k) for k labelled points on the sphere S2 that gives a mathematical model applicable to data sets whose elements are, or can be represented by, configurations of labelled sequences of points on S2 and for which the fundamental properties of interest are the shapes of these configurations, and we examine the geometric structures on the space, especially the riemannian structure on Σ(S2, 3). In a companion paper (pp. 581–594) we investigate the statistical properties of such shapes when the k points are generated by a random mechanism.

scholarly journals Theoretical model of system for optimized software selection process

2010 ◽  
Vol 58 (3) ◽  
pp. 233-242
Author(s):  
Jiří Rybička ◽  
Petra Talandová ◽  
Jan Přichystal
Keyword(s):  
Mathematical Model ◽  
Theoretical Model ◽  
Narrow Band ◽  
Selection Process ◽  
Optimal Solution ◽  
Software Selection ◽  
Band Area ◽  
Everyday Problem ◽  
Selection Of

Selection of a suitable software is an everyday problem for many users. This process if often ineffective, as the users usually work only with a restricted set of programs and are unable to have appropriate knowledge about all programs available. The paper therefore deals with the model of a system for optimized software selection process. Applications of this kind are already available online, but they are usually aimed at narrow-band area, recommending often commercial programs only. Users also cannot influence the process of selection. The system described in this paper removes this insufficiency. A mathematical model is designed, which works with input sets of users’ requirements and programs’ properties, recommending an optimal solution. The system is designed as open, extensible and accessible and is oriented on users and their needs.

scholarly journals MATHEMATICAL MODEL OF SPATIAL OSCILLATIONS OF A RAILWAY FOUR-AXLE AUTONOMOUS TRACTION MODULE

2021 ◽  
pp. 55-68
Author(s):  
František Bures
Keyword(s):  
Mathematical Model ◽  
Differential Equations ◽  
Mechanical System ◽  
Traffic Safety ◽  
Equations Of Motion ◽  
Rigid Bodies ◽  
Railway Track ◽  
Theoretical Studies ◽  
System Of Differential Equations ◽  
Spatial Oscillations

A description of the original mathematical model of spatial oscillations of a four-axle autonomous traction module during its movement along straight and curved sections of the railway track is proposed. In this case, the design of a four-axle autonomous traction module is presented as a complex mechanical system, and the track is considered as an elastic-viscous inertial system. The equations of motion were compiled using the Lagrange method of the ІІ kind. For each of the solids, the kinetic energy is determined by the Koenig theorem. The potential energy component is obtained by the Clapeyron theorem, as the sum of the energies accumulated in the elastic elements of the system during their deformations. The dissipative energy was also taken into account when compiling the equations of motion. Generalized forces that have no potential, in this case, include the forces of interaction between wheels and rails, which are determined using the creep hypothesis. It is important to note that the model takes into account the forces in the bonds between the bodies of the system and the spatial displacements of the rigid bodies of the mechanical system, taking into account possible restrictions. Moreover, the mathematical model developed by the author is a system of differential equations of the 100th order. This mathematical model is the base for further theoretical studies of the dynamics of railway four-axle autonomous traction modules in single motion or when moving as part of a train. To solve the resulting system of differential equations, the author develops special software that allows for complex theoretical studies of spatial oscillations of a four-axle autonomous tractionmodule to determine the indicators of its dynamic loading and traffic safety. 

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