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Author: Frank Arca
Publisher: iUniverse
ISBN: 059539017X
Category : Science
Languages : en
Pages : 62
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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.
Author: Frank Arca
Publisher: iUniverse
ISBN: 059539017X
Category : Science
Languages : en
Pages : 62
Get Book Here
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.
Author: Dan A. Lee
Publisher: American Mathematical Soc.
ISBN: 147045081X
Category : Mathematics
Languages : en
Pages : 377
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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.
Author: United States. Public Roads Bureau
Publisher:
ISBN:
Category : Accidents
Languages : en
Pages : 108
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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.
Author: Michael J. Maierle
Publisher:
ISBN:
Category : Highway engineering
Languages : en
Pages : 54
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Book Description
Author: Miriam Zelditch
Publisher: Academic Press
ISBN: 0123869048
Category : Mathematics
Languages : en
Pages : 489
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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
Author: David A. Woldseth
Publisher:
ISBN:
Category : Highway planning
Languages : en
Pages : 32
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Book Description
Author: Jack (Designer) Clucas
Publisher: Sticker by Number Geometric Puzzles
ISBN: 9781780555867
Category :
Languages : en
Pages : 42
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Book Description
A stunning follow-up to Animetrics, this innovative 'colour by numbers' sticker book contains 12 striking pictures of animals, sea creatures, famous landmarks and scenes to complete. The numbered shapes on each page can be filled with corresponding stickers to create beautiful, intricate artworks. Projects include a spectacular seahorse, a magical unicorn and a breathtaking Statue of Liberty. Featuring over 1,400 geometric stickers, it's the ultimate sticker-by-numbers challenge for children and adults alike.
Author: United States. Congress. House. Committee on Public Works. Special Subcommittee on the Federal-Aid Highway Program
Publisher:
ISBN:
Category : Traffic signs and signals
Languages : en
Pages : 676
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Book Description
Author: United States. Congress. House. Public Works
Publisher:
ISBN:
Category :
Languages : en
Pages : 712
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Book Description
Author: James D. Meadows
Publisher: CRC Press
ISBN: 9780824793098
Category : Technology & Engineering
Languages : en
Pages : 626
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Book Description
Explaining the symbology of dimensioning and tolerancing and introducing a step-by-step system for geometric definition, this book provides examples for the application of geometric controls. The author breaks down the language of geometric product definition into a series of steps that consist of significant questions to be asked at any point in the product definition. He addresses functional requirements and manufacturing techniques, measurement, inspection, and gaging procedures. The book illustrates how symbology is best utilized, in what order it should be applied, and how each geometric control anticipates, integrates, and complements all other geometric controls on a part and in an assembly.
