Proportioned Geometrics

Proportioned Geometrics PDF Author: Frank Arca
Publisher: iUniverse
ISBN: 059539017X
Category : Science
Languages : en
Pages : 62

Book Description
The contents of this book propose a solution to the current problem in physics, specifically concerning the areas of Grand Unification of space-time, matter, and force. Grand unification describes the nature of combining the known forces in nature, the Electro-magnetic, strong, weak, and Gravitational forces, into a singular equilibrium. That is, the need for a framework to predict the behavior of systems at very small scales, such as atoms and particles, and those of the very large scales, such as galaxies, stars, planets, etc., and thus far within the articles of physics, there is still no reasonable explanation of the origins of space-time and matter. The current difficulty in physics is the incompatibility of the two theories, which define space-time at different levels; quantum mechanics predicts the behavior of systems of the atomic world, and general relativity, which predicts the behavior of systems on the cosmic scale. There exists an element in reality which makes it a paradox, that is, it is not seemingly consistent if small matter is imputed into the equations of large matter, and vice versa. If for example, the information of the moon is inserted into an equation defining its physical properties, and if the same is done for an electron, then the outcomes of both ought yield an equivalent solution.

An Introduction to Geometrics for Roads and Streets

An Introduction to Geometrics for Roads and Streets PDF Author: J. Paul Guyer, P.E., R.A.
Publisher: Guyer Partners
ISBN:
Category : Technology & Engineering
Languages : en
Pages : 43

Book Description
This publication provides introductory technical guidance for civil engineers and other professional engineers, planners and construction managers interested in geometrics for roads and streets. Here is what is discussed: 1. GENERAL 2. DESIGN CONSIDERATIONS 3. GEOMETRIC DESIGN FOR ROADS AND STREETS

Analysis and Modeling of Relationships Between Accidents and the Geometric and Traffic Characteristics of the Interstate System

Analysis and Modeling of Relationships Between Accidents and the Geometric and Traffic Characteristics of the Interstate System PDF Author: Julie Anna Fee
Publisher:
ISBN:
Category : Express highways
Languages : en
Pages : 108

Book Description
Principal findings of this study were that geometrics alone account for only a small portion of the variance in accidents and that no relationship could be established between fatalities and the geometrics studied. The geometrics studied include several types of interchanges, paved shoulders, sight distance, delineators, surface types, and other variables. Mathematical models were developed which can provide estimates of the average number of accidents on a particular type of highway or interchange, using the appropriate variables.

Geometric Relativity

Geometric Relativity PDF Author: Dan A. Lee
Publisher: American Mathematical Soc.
ISBN: 147045081X
Category : Differential equations, Partial
Languages : en
Pages : 361

Book Description
Many problems in general relativity are essentially geometric in nature, in the sense that they can be understood in terms of Riemannian geometry and partial differential equations. This book is centered around the study of mass in general relativity using the techniques of geometric analysis. Specifically, it provides a comprehensive treatment of the positive mass theorem and closely related results, such as the Penrose inequality, drawing on a variety of tools used in this area of research, including minimal hypersurfaces, conformal geometry, inverse mean curvature flow, conformal flow, spinors and the Dirac operator, marginally outer trapped surfaces, and density theorems. This is the first time these topics have been gathered into a single place and presented with an advanced graduate student audience in mind; several dozen exercises are also included. The main prerequisite for this book is a working understanding of Riemannian geometry and basic knowledge of elliptic linear partial differential equations, with only minimal prior knowledge of physics required. The second part of the book includes a short crash course on general relativity, which provides background for the study of asymptotically flat initial data sets satisfying the dominant energy condition.

Geometric Morphometrics for Biologists

Geometric Morphometrics for Biologists PDF Author: Miriam Zelditch
Publisher: Academic Press
ISBN: 0123869048
Category : Mathematics
Languages : en
Pages : 489

Book Description
The first edition of Geometric Morphometrics for Biologists has been the primary resource for teaching modern geometric methods of shape analysis to biologists who have a stronger background in biology than in multivariate statistics and matrix algebra. These geometric methods are appealing to biologists who approach the study of shape from a variety of perspectives, from clinical to evolutionary, because they incorporate the geometry of organisms throughout the data analysis. The second edition of this book retains the emphasis on accessible explanations, and the copious illustrations and examples of the first, updating the treatment of both theory and practice. The second edition represents the current state-of-the-art and adds new examples and summarizes recent literature, as well as provides an overview of new software and step-by-step guidance through details of carrying out the analyses. - Contains updated coverage of methods, especially for sampling complex curves and 3D forms and a new chapter on applications of geometric morphometrics to forensics - Offers a reorganization of chapters to streamline learning basic concepts - Presents detailed instructions for conducting analyses with freely available, easy to use software - Provides numerous illustrations, including graphical presentations of important theoretical concepts and demonstrations of alternative approaches to presenting results

Psycho-Geometrics

Psycho-Geometrics PDF Author: Susan Dellinger
Publisher:
ISBN: 9780137328352
Category : Psychology
Languages : en
Pages : 232

Book Description

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