Mathematical Methods of Three-Dimensional Eye Rotations Based Upon Spacecraft Dynamics Notation.

1999 ◽  
Author(s):  
Kee S. Chun
Keyword(s):  
Three Dimensional ◽  
Spacecraft Dynamics ◽  
Mathematical Methods

scholarly journals ЗОНУВАННЯ ТРИВИМІРНОЇ МАТРИЦІ УПРАВЛІННЯ ЗМІНАМИ РЕГУЛЯТОРНОЇ ПОЛІТИКИ РОЗВИТКУ НАЦІОНАЛЬНОЇ ЕКОНОМІКИ

2019 ◽  
Vol 135 (3) ◽  
pp. 90-99
Author(s):  
Ганна Вікторівна Разумова
Keyword(s):  
Economic Development ◽  
National Economy ◽  
Regulatory Policy ◽  
Three Dimensional ◽  
Regulatory Change ◽  
Mathematical Methods ◽  
Policy Effects ◽  
Dimensional Matrix ◽  
National Economic ◽  
National Economic Development

The article attempts to work out the relevant methodology that will allow an integrated approach to find solutions to current economic challenges, given the fact that the national economy is a complex multicomponent system. It is emphasized that mathematical methods and models are widely used as effective tools to handle a range of problems in various areas of research and, in particular, in economic studies. However, despite the availability of numerous research endeavors, the issues of modelling the relationships between national economic development and regulatory policy have not been sufficiently studied. The purpose of this study is to build a three-dimensional matrix of regulatory change management in the frameworks of the national economic development. The methodological research background relies on modelling of regulatory policy effects on national economic development by using economic mathematical methods and models. A three-dimensional matrix of managing change in regulatory policy has been proposed which is based on the assessment of the current state of regulatory policy and modelling of the relationships between national economic development and regulatory policy with regard to the obtained values of the aggregate development index calculated by sectors of the national economy, generalized index of the regulatory policy in industries and the indicator of the regulatory policy effects on development, the zoning of which allows to distribute its impact sector by sector along with identifying the nature and the priority areas for further regulatory actions to be applied to a particular industry or sector of the economy. The three-dimensional matrix zoning has been performed according to certain parameters: vertical zoning (zones of passive and active changes), transverse horizontal zoning (zone of fixation and transformation) and horizontal longitudinal zoning (zones adjustment and protection). It is argued that economic mathematical modelling is an important tool in managing business processes. Modelling is used to build reliability models with reference to aggregated development indices by sectors of the national economy and the generalized indices of regulatory policy, and identify specific regulatory policy changes needed to enhance the national economic development.

Smart, Innovative and Intelligent Technologies Used in Drug Designing

2014 ◽  
pp. 285-301
Author(s):  
S. Deshpande ◽  
S. K. Basu ◽  
X. Li ◽  
X. Chen
Keyword(s):  
Drug Discovery ◽  
Protein Structures ◽  
Three Dimensional ◽  
New Drugs ◽  
Smart Manufacturing ◽  
Data Sets ◽  
Mathematical Methods ◽  
Structure Based Drug Design ◽  
Recent Developments ◽  
Therapeutic Compounds

Smart and intelligent computational methods are essential nowadays for designing, manufacturing and optimizing new drugs. New and innovative computational tools and algorithms are consistently developed and applied for the development of novel therapeutic compounds in many research projects. Rapid developments in the architecture of computers have also provided complex calculations to be performed in a smart, intelligent and timely manner for desired quality outputs. Research groups worldwide are developing drug discovery platforms and innovative tools following smart manufacturing ideas using highly advanced biophysical, statistical and mathematical methods for accelerated discovery and analysis of smaller molecules. This chapter discusses novel innovative applications in drug discovery involving use of structure-based drug design which utilizes geometrical knowledge of the three-dimensional protein structures. It discusses statistical and physics based methods such as quantum mechanics and classical molecular dynamics which can also play a major role in improving the performance and in prediction of computational drug discovery. Lastly, the authors provide insights on recent developments in cloud computing with significant increase in smart and intelligent computational power thus allowing larger data sets to be analyzed simultaneously on multi processor cloud systems. Future directions for the research are outlined.

STUDY OF OPTICS FOR LED LIGHT DEVICES AND METHODS OF ITS COMPUTER MODELING

2020 ◽  
pp. 27-31
Author(s):  
I. I. Bayneva ◽  
N. S. Komarov
Keyword(s):  
Computer Modeling ◽  
Three Dimensional ◽  
Simulation Method ◽  
Optical Systems ◽  
Mathematical Methods ◽  
Optical Elements ◽  
Led Light ◽  
Secondary Use ◽  
Three Dimensional Models ◽  
The Cost

The article discusses optical systems for LED lighting devices, the principles of the propagation of rays in lenses of various designs. Analyzed the features of the secondary use of the optical elements in the form of lenses and prisms for different LED emission patterns in space. Considered the features and problems of calculation of the secondary optical systems. Problems and prospects of application are considered, research and computer modeling of optics, which is used to form the required light distribution in LED light devices. Computer modeling technologies and the mathematical methods that underlie them determine the possibility of developing such optical systems in lighting installations. The article considers the numerical Monte Carlo simulation method, which allows one to organize ray tracing modeling in optical systems. The TracePro software package for modeling and research of lighting devices and their optical elements allows you to automate the stage of their calculation and design, this significantly reduces the cost of developing new products. The prototyping of three-dimensional models of lens systems opens up great opportunities for manufacturers of optics for LEDs, allows research on prototypes planned for production of serial products.

scholarly journals Measuring fish and their physical habitats: versatile 2D and 3D video techniques with user-friendly software

2016 ◽  
Vol 73 (12) ◽  
pp. 1861-1873 ◽  
Author(s):  
Jason R. Neuswanger ◽  
Mark S. Wipfli ◽  
Amanda E. Rosenberger ◽  
Nicholas F. Hughes
Keyword(s):  
Oncorhynchus Tshawytscha ◽  
Three Dimensional ◽  
Field Studies ◽  
General Purpose ◽  
3D Video ◽  
Mathematical Methods ◽  
Terrestrial Animal ◽  
Close Range ◽  
Territorial Behaviors ◽  
User Friendly

Applications of video in fisheries research range from simple biodiversity surveys to three-dimensional (3D) measurement of complex swimming, schooling, feeding, and territorial behaviors. However, researchers lack a transparently developed, easy-to-use, general purpose tool for 3D video measurement and event logging. Thus, we developed a new measurement system, with freely available, user-friendly software, easily obtained hardware, and flexible underlying mathematical methods capable of high precision and accuracy. The software, VidSync, allows users to efficiently record, organize, and navigate complex 2D or 3D measurements of fish and their physical habitats. Laboratory tests showed submillimetre accuracy in length measurements of 50.8 mm targets at close range, with increasing errors (mostly <1%) at longer range and for longer targets. A field test on juvenile Chinook salmon (Oncorhynchus tshawytscha) feeding behavior in Alaska streams found that individuals within aggregations avoided the immediate proximity of their competitors, out to a distance of 1.0 to 2.9 body lengths. This system makes 3D video measurement a practical tool for laboratory and field studies of aquatic or terrestrial animal behavior and ecology.

scholarly journals Smart, Innovative and Intelligent Technologies Used in Drug Designing

2017 ◽  
pp. 1175-1191
Author(s):  
S. Deshpande ◽  
S. K. Basu ◽  
X. Li ◽  
X. Chen
Keyword(s):  
Drug Discovery ◽  
Protein Structures ◽  
Three Dimensional ◽  
New Drugs ◽  
Smart Manufacturing ◽  
Data Sets ◽  
Mathematical Methods ◽  
Structure Based Drug Design ◽  
Recent Developments ◽  
Therapeutic Compounds

Smart and intelligent computational methods are essential nowadays for designing, manufacturing and optimizing new drugs. New and innovative computational tools and algorithms are consistently developed and applied for the development of novel therapeutic compounds in many research projects. Rapid developments in the architecture of computers have also provided complex calculations to be performed in a smart, intelligent and timely manner for desired quality outputs. Research groups worldwide are developing drug discovery platforms and innovative tools following smart manufacturing ideas using highly advanced biophysical, statistical and mathematical methods for accelerated discovery and analysis of smaller molecules. This chapter discusses novel innovative applications in drug discovery involving use of structure-based drug design which utilizes geometrical knowledge of the three-dimensional protein structures. It discusses statistical and physics based methods such as quantum mechanics and classical molecular dynamics which can also play a major role in improving the performance and in prediction of computational drug discovery. Lastly, the authors provide insights on recent developments in cloud computing with significant increase in smart and intelligent computational power thus allowing larger data sets to be analyzed simultaneously on multi processor cloud systems. Future directions for the research are outlined.

scholarly journals Pulsatile flow in ventricular catheters for hydrocephalus

2017 ◽  
Vol 375 (2096) ◽  
pp. 20160294 ◽  
Author(s):  
Á. Giménez ◽  
M. Galarza ◽  
U. Thomale ◽  
M. U. Schuhmann ◽  
J. Valero ◽  
...  
Keyword(s):  
Boundary Conditions ◽  
Computational Study ◽  
Three Dimensional ◽  
Mathematical Methods ◽  
Basic Principles ◽  
Heart Beating ◽  
Ventricular Catheters ◽  
Flow Through ◽  
Three Dimensional Models ◽  
Previous Computational Study

The obstruction of ventricular catheters (VCs) is a major problem in the standard treatment of hydrocephalus, the flow pattern of the cerebrospinal fluid (CSF) being one important factor thereof. As a first approach to this problem, some of the authors studied previously the CSF flow through VCs under time-independent boundary conditions by means of computational fluid dynamics in three-dimensional models. This allowed us to derive a few basic principles which led to designs with improved flow patterns regarding the obstruction problem. However, the flow of the CSF has actually a pulsatile nature because of the heart beating and blood flow. To address this fact, here we extend our previous computational study to models with oscillatory boundary conditions. The new results will be compared with the results for constant flows and discussed. It turns out that the corrections due to the pulsatility of the CSF are quantitatively small, which reinforces our previous findings and conclusions. This article is part of the themed issue ‘Mathematical methods in medicine: neuroscience, cardiology and pathology’.

scholarly journals Sketch-Based Interface and Modelling of Stratigraphy and Structure in 3D

2021 ◽  
pp. jgs2020-187
Author(s):  
Carl Jacquemyn ◽  
Margaret E. H. Pataki ◽  
Gary J. Hampson ◽  
Matthew D. Jackson ◽  
Dmytro Petrovskyy ◽  
...  
Keyword(s):  
Case Studies ◽  
Cross Sections ◽  
Three Dimensional ◽  
3D Models ◽  
Mathematical Methods ◽  
Resource Potential ◽  
Content Type ◽  
Alternative Approach ◽  
Supplementary Material ◽  
3D Surfaces

Geological modelling is widely used to predict resource potential in subsurface reservoirs. However, modelling is often slow, requires use of mathematical methods that are unfamiliar to many geoscientists and is implemented in expert software. We demonstrate here an alternative approach using Sketch-Based Interface and Modelling (SBIM) that allows rapid creation of complex three-dimensional (3D) models from 2D sketches. Sketches, either on vertical cross-sections or in map-view, are converted to 3D surfaces that outline geological interpretations. A suite of geological operators is proposed that handle interactions between the surfaces to form a geologically realistic 3D model. These operators deliver the flexibility to sketch a geological model in any order and provide an intuitive framework for geoscientists to rapidly create 3D models. Two case studies are presented, demonstrating scenarios in which different approaches to model sketching are used depending on the geological setting and available data. These case studies show the strengths of sketching with geological operators. Sketched 3D models can be queried visually or quantitatively to provide insights into heterogeneity distribution, facies connectivity or dynamic model behaviour; this information cannot be obtained by sketching in 2D or on paper.Supplementary material:https://doi.org/10.6084/m9.figshare.c.5303043

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