World Library  



Topology


Topology (from the Greek t?p??, “place”, and ?????, “study”) is a major area of mathematics concerned with spatial properties that are preserved under continuous deformations of objects, for example, deformations that involve stretching, but no tearing or gluing. It emerged through the development of concepts from geometry and set theory, such as space, dimension, and transformation.

 
  • Cover Image

Particle Dispersion Processes in Two-dimensional Turbulence: a Com...

By: J. M. Redondo; P. J. Gámez-montero; A. Babiano; R. Castilla

Description: LABSON, Dpt. of Fluid Mechanics, U.P.C., Spain. We study numerically the comparison between Lagrangian experiments on turbulent particle dispersion in 2-D turbulent flows performed, on the one hand, on the basis of direct numerical simulations (DNS) and, on the other hand, using kinematic simulations (KS). Eulerian space-time structure of both DNS and KS dynamics are not comparable, mostly due to the absence of strong coherent vortices and advection p...

Babiano, A., Basdevant, C., and Sadourny, R.: Structure functions and dispersion laws in two-dimensional turbulence, J. Atmos. Sci., 42, 942–949, 1985.; Babiano, A., Basdevant, C., Le Roy, P., and Sadourny, R.:. Single particle dispersion, Lagrangian structure function and Lagrangian energy spectrum in two-dimensional incompressible turbulence, J. Mar. Res., 45, 107–131, 1987.; Babiano,A., Basdevant, C., Le Roy, P., and Sadourny, R.: Relative dispersion in two-dimensiona...

Read More
  • Cover Image

Particle Dispersion Processes in Two-dimensional Turbulence: a Com...

By: J. M. Redondo; P. J. Gámez-montero; A. Babiano; R. Castilla

Description: LABSON, Dpt. of Fluid Mechanics, U.P.C., Spain. We study numerically the comparison between Lagrangian experiments on turbulent particle dispersion in 2-D turbulent flows performed, on the one hand, on the basis of direct numerical simulations (DNS) and, on the other hand, using kinematic simulations (KS). Eulerian space-time structure of both DNS and KS dynamics are not comparable, mostly due to the absence of strong coherent vortices and advection p...

Babiano, A., Basdevant, C., and Sadourny, R.: Structure functions and dispersion laws in two-dimensional turbulence, J. Atmos. Sci., 42, 942–949, 1985.; Babiano, A., Basdevant, C., Le Roy, P., and Sadourny, R.:. Single particle dispersion, Lagrangian structure function and Lagrangian energy spectrum in two-dimensional incompressible turbulence, J. Mar. Res., 45, 107–131, 1987.; Babiano,A., Basdevant, C., Le Roy, P., and Sadourny, R.: Relative dispersion in two-dimensiona...

Read More
  • Cover Image

Improved Preservation of Autocorrelative Structure in Surrogate Da...

By: C. J. Keylock

Description: School of Geography, University of Leeds, Leeds, UK. Surrogate data generation algorithms are useful for hypothesis testing or for generating realisations of a process for data extension or modelling purposes. This paper tests a well known surrogate data generation method against a stochastic and also a hybrid wavelet-Fourier transform variant of the original algorithm. The data used for testing vary in their persistence and intermittency, and include s...

Abaimov, S. G., Turcotte, D. L., Shcherbakov, R., and Rundle, J. B.: Recurrence and interoccurrence behavior of self-organized complex phenomena, Nonlinear Proc. Geoph., 14, 455–464, 2007.; Angelini, C., Cava, D., Katul, G., and Vidakovic, B.: Resampling hierarchical processes in the wavelet domain: A case study using atmospheric turbulence, Physica D, 207, 27–40, 2005.; Ashkenazy, Y. and Tziperman, E.: Are the 41 kyr glacial oscillations a linear response to Milankovitc...

Read More
  • Cover Image

Model of Strong Stationary Vortex Turbulence in Space Plasmas : Vo...

By: Kh. Z. Chargazia; G. Zimbardo; L. M. Zelenyi; G. D. Aburjania

Description: I. Javakhishvili Tbilisi State University,2 University str., 0143 Tbilisi, Georgia. This paper investigates the macroscopic consequences of nonlinear solitary vortex structures in magnetized space plasmas by developing theoretical model of plasma turbulence. Strongly localized vortex patterns contain trapped particles and, propagating in a medium, excite substantial density fluctuations and thus, intensify the energy, heat and mass transport processes, ...

Abel, G. A., Freeman, M. P., and Chisham, G.: Spatial structure of ionospheric convection velocities in regions of open and closed magnetic field topology, Geophys. Res. Lett., 33, L24103, doi:10.1029/2006GL027919, 2006.; Aburjania, G. D., Mikhailovskii, A. B., and Lakhin, V. P.: Nonlinear Regular Structures of Drift Magnetoacoustic Waves, Jo. Plasma Phys., 38, 373–386, 1987.; Aburjania, G. D.: Electromagnetic drift vortices in a rotating plasma cylinder, Physica Scripta...

Read More
  • Cover Image

Oscillating Forcings and New Regimes in the Lorenz System: a Four-...

By: A. Pasini; F. Maimone; V. Pelino

Description: Italian Air Force, CNMCA, Pratica di Mare (Rome), Italy. It has been shown that forced Lorenz models generally maintain their two-lobe structure, just giving rise to changes in the occurrence of their regimes. Here, using the richness of a unified formalism for Kolmogorov-Lorenz systems, we show that introducing oscillating forcings can lead to the birth of new regimes and to a four-lobe attractor. Analogies within a climate dynamics framework are mentioned.

Ahlers, G., Hohenberg, P. C., and Lucke, M.: Externally modulated Rayleigh-Bénard convection: Experiment and theory, Phys. Rev. Lett., 53, 48–51, 1984.; Arnold, V. I.: Kolmogorov's hydrodynamic attractors, Proc. Roy. Soc. A, 434, 19–22, 1991.; Arnold, V. I. and Khesin, B. A.: Topological methods in hydrodynamics, Springer, Berlin, Germany, 1998.; Broer, H., Simó, C., and Vitolo, R.: Bifurcations and strange attractors in the Lorenz-84 climate model with seasonal forcing,...

Read More
  • Cover Image

Review Article on the Origins of Decadal Climate Variability: a Ne...

By: K. L. Swanson; A. A. Tsonis

Description: Atmospheric Sciences Group, Department of Mathematical Sciences, University of Wisconsin-Milwaukee, Milwaukee, WI 53201-0413, USA. This review is a synthesis of work spanning the last 25 yr. It is largely based on the use of climate networks to identify climate subsystems/major modes and to subsequently study how their collective behavior explains decadal variability. The central point is that a network of coupled nonlinear subsystems may at times begin...

Albert, R. and Barabasi, A.-L.: Statistical mechanics of complex networks, Rev. Mod. Phys., 74, 47–101, 2002.; Albert, R., Jeong, H., and Barabasi, A.-L.: Diameter of the World Wide Web, Nature, }{401, 130–131, 1999.; Ambaum, M. H. P., Hoskins, B. J., and Stephenson, D. B.: Arctic Oscillation or North Atlantic Oscillation?, J. Climate, 14, 3495–3507, 2001.; Arenas, A., Diaz-Guilera, A., and Perez-Vicente, C. J.: Synchronization reveals topological scales in complex netwo...

Read More
  • Cover Image

Dependence of Sandpile Avalanche Frequency–size Distribution on Co...

By: Q. Liu; L.-y. Chiao

Description: Institute of Oceanography, National Taiwan University, Taipei, Taiwan. The effects of the spatiotemporal evolution of failure threshold heterogeneity on the dynamics of fault criticality, and thus on regional seismogenesis, have attracted strong interest in the field of regional seismotectonics. The heterogeneity might be a manifestation of the macroscopic distribution and multiscale strength variation of asperities, the distinct regional stress level, ...

Aki, K.: Maximum likelihood estimation of b in the formula logN = a − $bM$ and its confidence limits, Bull. Earthq. Res. Inst., 43, 237–239, 1965.; Ayele, A. and Kulhanek, O.: Spatial and temporal variation of seismicity in the horn of Africa from 1960 to 1993, Geophys. J. Int., 130, 805–810, 1997.; Bak, P. and Tang, C.: Earthquakes as a self-organized critical phenomenon, J. Geophys. Res., 94, 15635–15637, 1989.; Bak, P., Tang, C., and Wiesenfeld, K...

Read More
  • Cover Image

The Rossby Wave Extra Invariant in the Dynamics of 3-d Fluid Layer...

By: A. M. Balk

Description: Department of Mathematics, University of Utah, Salt Lake City, UT 84112, USA. We consider an adiabatic-type (approximate) invariant that was earlier obtained for the quasi-geostrophic equation and the shallow water system; it is an extra invariant, in addition to the standard ones (energy, enstrophy, momentum), and it is based on the Rossby waves. The presence of this invariant implies the energy transfer from small-scale eddies to large-scale zonal jet...

Balk, A. M., Nazarenko, S. V., and Zakharov, V. E.: New invariant for drift turbulence, Phys. Lett. A, 152, 276–280, 1991.; Balk, A. M.: A new invariant for Rossby wave systems, Phys. Lett. A, 155, 20–24, 1991.; Balk, A. M.: New conservation laws for the interaction of nonlinear waves, SIAM Rev., 39, 68–94, 1997.; Balk, A. M.: Angular distribution of Rossby wave energy, Phys. Lett. A, 345, 154–160, 2005.; Balk, A. M. and Ferapontov, E. V.: Invariants of 4-wave interactio...

Read More
  • Cover Image

Wireless Broadband Telecommunications Networks Capacity of Polingi...

By: Burkadze Tatiana
Read More
  • Cover Image

Valuations and Hyperbolicity in Dynamics

By: Thomas Ward

Mathematics document containing theorems and formulas.

Excerpt: Valuations And Hyperbolicity In Dynamics; A Hyperbolic Automorphism; S-integer dynamical systems; Definition and examples. The S-integer dynamical systems are a very simple collection of dynamical systems which are the pieces from which group automorphisms may be built up. Most of the material here is taken from [11]. An excellent modern treatment of Tate?s thesis and related material is the text of Ramakrishnan and Valenza, [57]. Let k be an A?field in the sens...

Read More
  • Cover Image

The Renaissance of Science : The Story of the Atom and Chemistry

By: Ph.D. Albert Martini

The 2000 year history of the atom and chemistry, from the Classic Greek Era to the present, is described in 800 pages, depicted with some 300 pictures and illustrations. This history of the atom and chemistry discusses the lives of about 180 chemists and physicists, through the evolution of several stages of development, representing the most important scientific accomplishments. The most significant discoveries in chemistry and physics are presented chronologicall...

INTRODUCTION It is a genuine pleasure and challenge for me to try to express the full extent of my emotions and reasons for writing this book on the STORY OF THE ATOM AND THE SCIENCES, with special reference to the CHEMICAL SCIENCES. In one sentence, I can distill the essence of the purpose for this study by simply stating that it has been a labor of love that transcended the written word because sentiments and ideas belong in the realm of the ethereal and the phil...

Read More
  • Cover Image

A Course in Universal Algebra

By: H.P. Sankappanavar

Mathematics document containing theorems and formulas.

Read More
  • Cover Image

The Convenient Setting of Global Analysis

By: Andreas Kriegl

Mathematics document containing theorems and formulas.

Excerpt: At the very conception of the notion of manifolds, in the Habilitationsschrift [Riemann, 1854], infinite dimensional manifolds were mentioned explicitly: Es giebt indess auch Mannigfaltigkeiten, in welchen die Ortsbestimmung nicht eine endliche Zahl, sondern entweder eine unendliche Reihe oder eine stetige Mannigfaltigkeit von Grossenbestimmungen erfordert. Solche Mannigfaltigkeiten bilden z.B. die moglichen Bestimmungen einer Function fur ein gegebenes Gebiet, ...

Read More
  • Cover Image

Mathematical Economics and Finance

By: Michael Harrison

Mathematics document containing theorems and formulas.

Excerpt: Sign conditions for inequality constrained optimization; Payoffs for Call Options on the Aggregate Consumption; The effect of an interest rate of 10% per annum at different frequencies of compounding; and Notation for portfolio choice problem.

Read More
  • Cover Image

Workbook in Higher Algebra

By: David Surowski

Mathematics document containing theorems and formulas.

Excerpt: The present set of notes was developed as a result of Higher Algebra courses that I taught during the academic years 1987-88, 1989-90 and 1991-92. The distinctive feature of these notes is that proofs are not supplied. There are two reasons for this. First, I would hope that the serious student who really intends to master the material will actually try to supply many of the missing proofs. Indeed, I have tried to break down the exposition in such a way that by ...

Read More
  • Cover Image

Guidance for Benthic Habitat Mapping : An Aerial Photographic Approach

By: Mark Finkbeiner

Introduction: This document, Guidance for Benthic Habitat Mapping, An Aerial Photographic Approach, describes proven technology that can be applied in an operational manner by state-level scientists and resource managers. This information is based on the experience gained by NOAA Coastal Services Center staff and state-level cooperators in the production of a series of benthic habitat data sets in Delaware, Florida, Maine, Massachusetts, New York, Rhode Island, the Virgi...

Read More
  • Cover Image

Nist Ir4734

By: Arthur E. Oldehoeft

Technical Reference Publication

Introduction: After more than two decades of research, security in computer information systems remains one of the major issues of the day. While significant technological advances have been (and continue to be) made, the general problem of security has assumed larger and more complex dimensions-attributed in a large part to the development and pervasive use of computer networks. Computers in industry, universities, and government laboratories are now commonly part of lo...

Read More
  • Cover Image

Nist Ir4734

By: Arthur E. Oldehoeft

Technical Reference Publication

Introduction: After more than two decades of research, security in computer information systems remains one of the major issues of the day. While significant technological advances have been (and continue to be) made, the general problem of security has assumed larger and more complex dimensions - attributed in a large part to the development and pervasive use of computer networks. Computers in industry, universities, and government laboratories are now commonly part of ...

Read More
 
57
|
58
|
59
|
60
|
61
Records: 1201 - 1216 of 1,216 - Pages: 



Copyright © World Library Foundation. All rights reserved. eBooks from World eBook Library are sponsored by the World Library Foundation,
a 501c(4) Member's Support Non-Profit Organization, and is NOT affiliated with any governmental agency or department.