The Cross-Eye Jamming Mathematical Modeling

2013 ◽  
Vol 344 ◽  
pp. 125-128
Author(s):  
Fei Cao ◽  
Qing Yun Liu ◽  
Fan Wu
Keyword(s):  
Mathematical Modeling ◽  
Mathematical Analysis ◽  
Radar System ◽  
Angular Error ◽  
Simulation Results ◽  
The Cross ◽  
Reasonable Choice ◽  
Rigorous Mathematical Analysis ◽  
Equal Amplitude

A rigorous mathematical analysis of cross-eye jamming in a radar system scenario and an expression for the induced angular error due to the cross-eye jammer are presented. The simulation results show that there is a Doppler difference between jamming and target return. The Doppler difference increases with the decrease of the distance between the monopulse radar and the platform protected by cross-eye jammer. When the power of target return is not small enough with respect to the power of jamming transmitted by one of the two sources, maybe the sign of the indicated angle is uncontrollable. The simulation results also show that although the cross-eye gain is maximized if two jamming signals are equal amplitude and antiphase, it is not a reasonable choice.

scholarly journals Cheating at Craps

2021 ◽  
Vol 48 (4) ◽  
pp. 53-61
Author(s):  
Andrea Marin ◽  
Carey Williamson
Keyword(s):  
Monte Carlo Simulation ◽  
Monte Carlo ◽  
Modeling And Simulation ◽  
Analytical Model ◽  
Quantitative Evaluation ◽  
Mathematical Analysis ◽  
Simulation Modeling ◽  
Analytical Modeling ◽  
The World ◽  
Simulation Results

Craps is a simple dice game that is popular in casinos around the world. While the rules for Craps, and its mathematical analysis, are reasonably straightforward, this paper instead focuses on the best ways to cheat at Craps, by using loaded (biased) dice. We use both analytical modeling and simulation modeling to study this intriguing dice game. Our modeling results show that biasing a die away from the value 1 or towards the value 5 lead to the best (and least detectable) cheating strategies, and that modest bias on two loaded dice can increase the winning probability above 50%. Our Monte Carlo simulation results provide validation for our analytical model, and also facilitate the quantitative evaluation of other scenarios, such as heterogeneous or correlated dice.

Methods of Mathematical Modeling of the Leaching Process of Cobalt-Containing Solutions

2021 ◽  
Vol 316 ◽  
pp. 661-666
Author(s):  
Nataliya V. Mokrova
Keyword(s):  
Mathematical Modeling ◽  
Mathematical Model ◽  
Chemical Kinetics ◽  
Group Method ◽  
Data Handling ◽  
Multistage Processes ◽  
Leaching Process ◽  
Proposed Model ◽  
Simulation Results ◽  
The Mathematical Model

Current cobalt processing practices are described. This article discusses the advantages of the group argument accounting method for mathematical modeling of the leaching process of cobalt solutions. Identification of the mathematical model of the cascade of reactors of cobalt-producing is presented. Group method of data handling is allowing: to eliminate the need to calculate quantities of chemical kinetics; to get the opportunity to take into account the results of mixed experiments; to exclude the influence of random interference on the simulation results. The proposed model confirms the capabilities of the group method of data handling for describing multistage processes.

scholarly journals Discussion on the Theoretical Basis for Cross-Over Method Applied to Downhole Wave Velocity Test

2021 ◽  
Vol 2021 ◽  
pp. 1-9
Author(s):  
Qing Dong ◽  
Zheng-hua Zhou ◽  
Su Jie ◽  
Bing Hao ◽  
Yuan-dong Li
Keyword(s):  
Numerical Simulation ◽  
Numerical Simulations ◽  
Wave Velocity ◽  
Theoretical Basis ◽  
Influence Factors ◽  
P Wave ◽  
Engineering Practice ◽  
S Wave ◽  
Simulation Results ◽  
The Cross

At engineering practice, the theoretical basis for the cross-over method, used to obtain shear wave arrival time in the downhole method of the wave velocity test by surface forward and backward strike, is that the polarity of P-wave keeps the same, while the polarity of S-wave transforms when the direction of strike inverted. However, the characteristics of signals recorded in tests are often found to conflict with this theoretical basis for the cross-over method, namely, the polarity of the P-wave also transforms under the action of surface forward and backward strike. Therefore, 3D finite element numerical simulations were conducted to study the validity of the theoretical basis for the cross-over method. The results show that both shear and compression waves are observed to be in 180° phase difference between horizontal signal traces, consistent with the direction of excitation generated by reversed impulse. Furthermore, numerical simulation results prove to be reliable by the analytic solution; it shows that the theoretical basis for the cross-over method applied to the downhole wave velocity test is improper. In meanwhile, numerical simulations reveal the factors (inclining excitation, geophone deflection, inclination, and background noise) that may cause the polarity of the P-wave not to reverse under surface forward and backward strike. Then, as to reduce the influence factors, we propose a method for the downhole wave velocity test under surface strike, the time difference of arrival is based between source peak and response peak, and numerical simulation results show that the S-wave velocity by this method is close to the theoretical S-wave velocity of soil.

scholarly journals Population Behavior in the Mathematical Model of the Spread of COVID19 Type SEIRS

2021 ◽  
Vol 6 (2) ◽  
pp. 83-88
Author(s):  
Asmaidi As Med ◽  
Resky Rusnanda
Keyword(s):  
Mathematical Modeling ◽  
Numerical Simulation ◽  
Mathematical Model ◽  
Everyday Life ◽  
Applied Mathematics ◽  
Living Things ◽  
Simulation Results ◽  
Parameter Values ◽  
The Mathematical Model ◽  
Disease Free

Mathematical modeling utilized to simplify real phenomena that occur in everyday life. Mathematical modeling is popular to modeling the case of the spread of disease in an area, the growth of living things, and social behavior in everyday life and so on. This type of research is included in the study of theoretical and applied mathematics. The research steps carried out include 1) constructing a mathematical model type SEIRS, 2) analysis on the SEIRS type mathematical model by using parameter values for conditions 1and , 3) Numerical simulation to see the behavior of the population in the model, and 4) to conclude the results of the numerical simulation of the SEIRS type mathematical model. The simulation results show that the model stabilized in disease free quilibrium for the condition  and stabilized in endemic equilibrium for the condition .

Improved Particle Filter

2014 ◽  
Vol 687-691 ◽  
pp. 4072-4075
Author(s):  
Tian Wang
Keyword(s):  
Particle Filter ◽  
System Simulation ◽  
Radar System ◽  
Measurement Noise ◽  
Approximate Algorithm ◽  
Bistatic Radar ◽  
Simulation Results

For the particle filter, the paper proposes an approximate algorithm for the case of unknown measurement noise and make a comparison between EKF algorithm and the approximate particle filter for estimating trajectory in a bistatic radar system. Simulation results show that the advantage of the particle filter and theavailability of the approximate particle filter.

DFCWs Design Based on Improved DPSO

2013 ◽  
Vol 333-335 ◽  
pp. 623-627
Author(s):  
Jing Jun Li ◽  
Yong Hua Jiang ◽  
Bo Dan ◽  
Wei Wei Gao
Keyword(s):  
Theoretical Analysis ◽  
Cross Correlation ◽  
Correlation Energy ◽  
Code Length ◽  
Discrete Particle ◽  
Frequency Coding ◽  
Simulation Results ◽  
The Cross ◽  
The Cost ◽  
Correlation Level

Orthogonal discrete frequency coding waveforms(DFCWs) is an ideal quasi-orthogonal waveform. This paper analyses the ambiguity function of DFCWs and the results indicate that the correlation characteristics of DFCWs have only relationship with the code length and coding order. Based on the theoretical analysis, we defined the cross-correlation energy as the cost function, and used the improved discrete particle swarmoptimization(DPSO) to optimize the order of DFCWs. The new signal can effectively restrain the cross-correlation level between the two DFCWs. Simulation results verify the effectiveness of the designed DFCWs.

Mathematical modeling of biological tissues electrical conductivity based on the ion electrodiffusion equations

2021 ◽  
Author(s):  
N.V. Kovalenko ◽  
K.V. Sovin ◽  
O.A. Ryabushkin
Keyword(s):  
Mathematical Modeling ◽  
Mathematical Model ◽  
Electrical Properties ◽  
Biological Tissue ◽  
Physiological State ◽  
Biological Tissues ◽  
Radiation Heating ◽  
Tissue Degradation ◽  
Simulation Results ◽  
Electrical Properties Of Tissues

Problem formulating. The vital processes of biological tissues are closely related to their electrical properties. An important task is to create a physical and mathematical model that will link the electrical properties of tissues to their physiological state. Goal. Construction of a model of biological tissue electrical properties based on the equations of ion electrodiffusion. Result. The paper presents the model of biological tissue electrical properties based on the ion electrodiffusion equations, and compares the simulation results with the experimental results presented in the literature. Practical meaning. The presented model can be used to describe processes occurring in tissue at the level of concentration and conductivity of ions in individual cells and cell membranes. In particular, the process of tissue degradation during laser radiation heating can be described.

The Comparison of Tunnel Engineering Construction Methods for Renhechang Tunnel Crossing Underneath Existing Tunnel on Lanzhou-Chongqing Railway

2013 ◽  
Vol 405-408 ◽  
pp. 1330-1333 ◽  
Author(s):  
Chuan Yi Sui ◽  
Xu Dong Zhou ◽  
Lin Hui Wang
Keyword(s):  
Field Measurement ◽  
Measurement Data ◽  
Tunnel Construction ◽  
Tunnel Engineering ◽  
Engineering Construction ◽  
Existing Structures ◽  
Construction Methods ◽  
Tunneling Method ◽  
Simulation Results ◽  
The Cross

Problems often exist in construction of transportation tunnels, such as the effect of new tunnels constructed close to existing structures. Solving this magnificent problem by carefully choosing tunnel construction methods will be beneficial to minimize effects on existing structures while ensuring the newly constructed tunnel is both time-consuming and economical. Three representative engineering methods-the benching tunneling method, the Center Diaphragm method and the Cross Diaphragm method-are compared in controlling the settlement of new tunnel vault and the deformation of the existing tunnel. Finally checking the simulation results by comparing with field measurement data.

The Tapping Machine Mathematical Modeling Simulation Study

2013 ◽  
Vol 373-375 ◽  
pp. 2073-2077
Author(s):  
Bing Hua Jiang ◽  
Li Fang ◽  
Hang Biao Guo
Keyword(s):  
Mathematical Modeling ◽  
Mathematical Model ◽  
Blast Furnace ◽  
Rotation Speed ◽  
Pulse Signal ◽  
Structural Features ◽  
Machine Model ◽  
Modeling Simulation ◽  
Impact Attenuation ◽  
Simulation Results

Based on the tapping machines special structural features and practices, from both directions of rotation and impact established the tapping machine mechanism rotating borer and impact dynamic mathematical model, analysed the effect of different tapping machines parameters on the model itself, simulated the model with inputting wide pulse signal, the simulation results show that: firstly, the tapping machine model established in this paper is reasonable; secondly, increase the damping coefficient of the blast furnace, the tapping machines rotating borer rotation speed and impact attenuation speed decrease.

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