scholarly journals Individual Universes of the Multiverse

2017 ◽  
Vol 2 (9) ◽  
pp. 17
Author(s):  
Szalay Istvan
Keyword(s):  
Mathematical Model ◽  
Infinite Number ◽  
Coordinate Transformation ◽  
Dimensional Space ◽  
Three Dimensional ◽  
The Individual ◽  
Three Dimensional Space

Using exploded numbers we consider the exploded three-dimensional space as a mathematical model of the Multiverse. Our universe is only one among the infinite number three-dimensional individual universes of the Multiverse. We introduce the concept of box – phenomenon of objects outsize our universe. Applying a shift coordinate transformation we investigate the shifted box – phenomenon and show certain parts of objects in the Multiverse selected from in different individual universes. Among others we show that the same part of a given object yields different views depending on the individual universes. Moreover, we give a measure of distance concerning the Multiverse. Finalliy, we mention the super – distance of different individual universes.

A Fast Digital 3D-SVPWM Algorithm for Four-Leg Converter

2014 ◽  
Vol 541-542 ◽  
pp. 494-497
Author(s):  
Peng Xian Song ◽  
Ping Wang ◽  
Yao Hua Li
Keyword(s):  
Mathematical Model ◽  
Computer Simulation ◽  
Coordinate Transformation ◽  
Dimensional Space ◽  
Three Dimensional ◽  
Space Vector Pwm ◽  
Space Vector ◽  
Computational Burden ◽  
Three Phase ◽  
Three Dimensional Space

The three-phase four-leg converter can be obtained by adding a bridge into the traditional three-phase three-leg converter. The average mathematical model of three-phase four-leg converter is described in this paper. The three-dimensional space vector PWM (3D-SVPWM) is analyzed. For simplifying the modulation, a fast digital SVPWM algorithm which eliminates coordinate transformation and saves calculating time was proposed. The feasibility of the proposed modulation technique is verified by computer simulation. These results show that the proposed fast digital 3D-SVPWM technique can be easily implemented without conventional computational burden.

scholarly journals Development of a Mathematical Model for Tracking Movement of a Human Limb in Three-Dimensional Space Using MEMS Sensors

2021 ◽  
Vol 11 (3) ◽  
pp. 74-82
Author(s):  
N.I. Levonovich
Keyword(s):  
Mathematical Model ◽  
Dimensional Space ◽  
Practical Importance ◽  
Three Dimensional ◽  
Suitable Model ◽  
Mems Sensors ◽  
Model Experiments ◽  
Human Limb ◽  
Tracking Movement ◽  
Three Dimensional Space

This article discusses the development of a mathematical model for a device capable of tracking the movements of a human limb based on the readings of microelectromechanical sensors. For developing and selecting the most suitable model, experiments were conducted based on publicly available components. The result obtained is of practical importance since it can be used to create a device.

scholarly journals A proposal method for reducing the order of general heat conduction equation

2018 ◽  
Vol 20 ◽  
pp. 02014
Author(s):  
Thanh-Phong Tran
Keyword(s):  
Heat Transfer ◽  
Mathematical Model ◽  
Transfer Process ◽  
Heat Conduction Equation ◽  
Dimensional Space ◽  
Three Dimensional ◽  
Heat Transfer Process ◽  
Unknown Parameters ◽  
Simulation Experiments ◽  
Three Dimensional Space

In the context of investigating methods dedicated to identifying unknown parameters of the system described by partial differential equations, particularly in the field of heat transfer, it has been realized that the heat transfer process in particular three-dimensional features is really complex and takes longer to calculate. Therefore, an equivalent mathematical model which is simpler proposed to reduce the calculation time and the costs of experimental activities. We observe that the mathematical models of the diffusion equation can be minimized in three-dimensional space into a similar two-dimensional pattern within certain limits did not change the physical properties of heat transfer process. A mathematical model and the numerical results of simulation experiments in order to prove effectiveness the proposed method will be presented in detail in this article.

Deposit Digitizing for JiaYaShan Ore Block in LanPing Pb-Zn Mine

2012 ◽  
Vol 229-231 ◽  
pp. 2047-2051
Author(s):  
Yu Jian Li ◽  
Wen Chang Li ◽  
Yong Feng Yan
Keyword(s):  
Mathematical Model ◽  
Dimensional Space ◽  
Three Dimensional ◽  
Dynamic Management ◽  
Systematic Analysis ◽  
Use Of Resources ◽  
Deposit Model ◽  
Ore Block ◽  
Three Dimensional Space

Lanping Pb-Zn mine is the biggest Pb-Zn mine of China. It is necessary for the mine to digital. On the basis of systematic analysis of and research on Jiayashan ore block in Lanping pb-zn mine, Mine Mathematical Model software, Surpac software and Micrmine software from abroad for digitization ware used to study this deposit. Finally, a three-dimensional space deposit model was established. As a result, the dynamic management of mine has been realized, the degree of automation and systematize have been increased for mining production, the scientific help have been presented for making use of resources sufficiently and reasonably.

Adaptations for Controlled Hand Movements in Duchenne’s Muscular Dystrophy

2003 ◽  
Author(s):  
Roscoe C. Bowen ◽  
Rami Seliktar ◽  
Tariq Rahman ◽  
Michael Alexander ◽  
Mena Scavina
Keyword(s):  
Muscular Dystrophy ◽  
Velocity Profile ◽  
Degrees Of Freedom ◽  
Dimensional Space ◽  
Three Dimensional ◽  
Acceleration And Deceleration ◽  
Robotic Orthosis ◽  
The Individual ◽  
Duchenne's Muscular Dystrophy ◽  
Three Dimensional Space

A number of neuropathologies such as Duchenne’s muscular dystrophy (DMD), cause disability in the upper extremity due to the loss of muscle strength. This will eventually prevent the individual from moving their arms in three-dimensional space so it has been proposed that a robotic orthosis could support and augment movement. This orthosis would need to accommodate the movement capabilities of the user. To accomplish this, knowledge of how movements are formed and controlled in the presence of neuromuscular disease needs to be determined. While the arm was supported in a floatation device, DMD subjects were asked to make pointing movements to several targets in the transverse plane. This was done from two start positions while torso movement was constrained and unconstrained. The hand trajectories formed while the torso was constrained were essentially straight but at a cost to the uni-modality of the hand velocity profile. In this configuration the velocity profile contains several phases of acceleration and deceleration producing a multi-modal profile. However, the additional degrees of freedom introduced in the unconstrained torso configuration were employed is such a manner as to produce a smooth uni-modal hand velocity profile.

A New Method to Solving the Internal Mass of Rigid Body Based on the Principle of Inertia Parameters

2013 ◽  
Vol 344 ◽  
pp. 37-40
Author(s):  
Ning Sun ◽  
Huan Yu Li ◽  
Jing Jing Gong
Keyword(s):  
Rigid Body ◽  
Coordinate Transformation ◽  
Dimensional Space ◽  
Three Dimensional ◽  
New Method ◽  
Internal Mass ◽  
System A ◽  
Coordinate Origin ◽  
Inertia Parameters ◽  
Three Dimensional Space

On the basis of Coordinate transformation analysis of the inertia parameters in three-dimensional space, according to the characteristic that the coordinate direction is existed and unique which the product of inertia is 0 when rotating the coordinate system, a new method to judge and calculate the particle information by searching for the intersection of the two lines that lead from two different coordinate origin is proposed. The processes and procedures to calculate the internal mass of rigid body are deduced theoretically. A special numerical example is given to verify the correctness of the theory. The error factors are analyzed qualitatively as well.

scholarly journals Mathematical Modeling of the Coaxial Quadrotor Dynamics for Its Attitude and Altitude Control

Energies ◽  
2021 ◽  
Vol 14 (5) ◽  
pp. 1232
Author(s):  
Wojciech Giernacki ◽  
Jarosław Gośliński ◽  
Jagoda Goślińska ◽  
Tadeo Espinoza-Fraire ◽  
Jinjun Rao
Keyword(s):  
Mathematical Modeling ◽  
Mathematical Model ◽  
Dimensional Space ◽  
Three Dimensional ◽  
Viscous Friction ◽  
Control Techniques ◽  
Aerial Vehicle ◽  
Altitude Control ◽  
Selection Of ◽  
Three Dimensional Space

In this paper, an easily implementable coaxial quadrotor model and its validation on data from a real unmanned aerial vehicle (UAV), are presented. The proposed mathematical model consists of two parts: description of orientation and position of the UAV in the three-dimensional space. It takes into consideration the gyroscopic effect, influence of the Coriolis force, viscous friction and a several drag-like effects (blade flapping, rotor drag, translational drag and profile drag). In contrast to multirotor models available in the literature, this one is characterized by complementarity in relation to the available control techniques. Depending on selection of these techniques, the model can be narrowed (simplified) to meet the needs without the loss of behaviour adequacy to a real UAV.

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