World Library  



Geometry


Geometry (Ancient Greek: ?e?µet??a; geo- 'earth', -metri 'measurement') 'Earth-measuring' is a branch of mathematics concerned with questions of shape, size, relative position of figures, and the properties of space. Geometry is one of the oldest mathematical sciences. Initially a body of practical knowledge concerning lengths, areas, and volumes, in the 3rd century BC geometry was put into an axiomatic form by Euclid, whose treatment—Euclidean geometry—set a standard for many centuries to follow.

 
  • Cover Image

Surface Seiches in Flathead Lake : Volume 11, Issue 12 (10/12/2014)

By: T. C. Lippmann; M. S. Lorang; G. Kirillin; C. C. Gotschalk; S. Schimmelpfennig

Description: Department of Ecohydrology, Leibniz-Institute of Freshwater Ecology and Inland Fisheries (IGB), Berlin, Germany. Standing surface waves or seiches are inherent hydrodynamic features of enclosed water bodies. Their two-dimensional structure is important for estimating flood risk, coastal erosion and bottom sediment transport and for understanding shoreline habitats and lake ecology in general. In this work, we present analysis of two-dimensional seiche ...

Bernhardt, J. and Kirillin, G.: Seasonal pattern of rotation-affected internal seiches in a small temperate lake, Limnol. Oceanogr., 58, 1344–1360, 2013.; Blumberg, A. F. and Mellor, G. L.: A description of a three-dimensional coastal ocean circulation model, in: Three-Dimensional Coastal Ocean Models, 1–16, edited by: N. S. Heaps, American Geophysical Union, Washington, D.C., doi:10.1029/CO004p0001, Oxford, 1987.; Csanady...

Read More
  • Cover Image

Thermodynamics of the Hydraulic Head, Pressure Head, and Gravitati...

By: G. H. De Rooij

Description: Wageningen University, Centre for Water and Climate, Soil Physics, Ecohydrology and Groundwater Management, Wageningen, The Netherlands. In order to establish a thermodynamic justification of the theoretical relationship between the hydraulic, pressure/matric, and gravitational head in subsurface hydrology, the thermodynamic literature pertaining to subsurface flow processes is reviewed. The incompressibility of liquids negates a thermodynamic definition...

Gray, W. G.: On the definition and derivatives of macroscale energy for the description of multiphase systems, Adv. Water Resour., 25, 1091–1104, 2002.; Bear, J. and Bachmat, Y.: Introduction to modeling of transport phenomena in porous media, Kluwer, Dordrecht, The Netherlands, 1991.; Bhattacharya, R. N. and Gupta, V. K.: Theoretical explanation of solute dispersion in saturated porous media at the Darcy scale, Water Resour. Res., 19, 938–944, 1983.; Brooks, R. H. and C...

Read More
  • Cover Image

Experimental Investigation of Water Droplets' Behavior in Dielectr...

By: D. D. Ganji; H. Bararnia

Description: Department of Mechanical Engineering, Babol University of Technology, Babol, Iran. In this article, the behavior of water droplets which are suspended in silicon oil is qualitatively investigated and some phenomena such as liquid's burst are reported. The movement of droplet in perpendicular line is considered while many studies have considered small droplets fluctuating between two horizontal electrodes. Additionally any deformation caused by increasin...

Ahn, K., Agresti, J., Chong, H., Marquez, M., and Weitz, D. A.: Electrocoalescence of drops synchronized by size-dependent flow in microfluidic channels, Appl. Phys. Lett., 88, 264105, doi:10.1063/1.2218058, 2006.; Aldaeus, F., Lin, Y., Amberg, G., and Roeraade, J.: Multi-step dielectrophoresis for separation of particles, J. Chromatogr. A, 1131, 261–266, 2006.; Allan, R. S. and Mason, S. G.: Particle behavior in shear and ...

Read More
  • Cover Image

Experimental Tests on Operation Performance of a Larm Leg Mechanis...

By: M. Ceccarelli; G. Carbone; M. F. Wang

Description: LARM: Laboratory of Robotics and Mechatronics, DICeM-University of Cassino and South Latium, Cassino (Fr), Italy. In this paper, a prototype of a LARM leg mechanism is proposed by using a tripod manipulator and its operation performance is investigated through lab experimental tests. In particular, an experimental layout is presented for investigating operational performance. A prescribed motion with an isosceles trapezoid trajectory is used for characte...

Bhutani, G. and Dwarakanath, T. A.: Practical Feasibility of A High Precision 3-UPU Parallel Mechanism, Robotica, 32, 341–353, 2014.; Carbone, G. and Ceccarelli, M.: Legged Robotic Systems, Cutting Edge Robotics, ARS Scientific Book, Vienna, 553–576, 2005.; Ceccarelli, M.: Fundamentals of Mechanics of Robotic Manipulation, Kluwer Academic Publishers, Dordrecht, 2004.; Ceccarelli, M.: An Illustrated History of LARM in Cassino, in: Proc. of Int. Workshop on Robotics in Alp...

Read More
  • Cover Image

Technical Note: Implementation of a Geodatabase of Published and U...

By: D. Stead; M. Ghirotti; R. Genevois; M. Floris; L. Superchi; M. Jaboyedoff

Description: Dept. of Geosciences, University of Padova, Italy. On 9 October 1963 a catastrophic landslide suddenly occurred on the southern slope of the Vaiont dam reservoir. A mass of approximately 270 million m3 collapsed into the reservoir generating a wave that overtopped the dam and hit the town of Longarone and other villages nearby. Several investigations and interpretations of the slope collapse have been carried out during the last 45 years, ho...

Broili, L.: New knowledge on the geomorphology of the Vaiont Slide slip surfaces. Rock Mechanics & Eng. Geol., J. Int. Soc. Rock Mechanics., V(1), 38–88, 1967.; Cai, M., Kaiser, P. K., Uno, H., Tasaka, Y., and Minami, M.: Estimation of rock mass deformation modulus and strength of jointed hard rock masses using the GSI system. International Journal of Rock Mechanics and Mining Sciences 41, 3–19, 2004.; Caloi, P.: L'evento del Vajont nei suoi aspetti geodinamici, Ist. Naz...

Read More
  • Cover Image

Rogue Waves and Downshifting in the Presence of Damping : Volume 1...

By: C. M. Schober; A. Islas

Description: Department of Mathematics, University of Central Florida, Orlando, FL, USA. Recently Gramstad and Trulsen derived a new higher order nonlinear Schrödinger (HONLS) equation which is Hamiltonian (Gramstad and Trulsen, 2011). We investigate the effects of dissipation on the development of rogue waves and downshifting by adding an additonal nonlinear damping term and a uniform linear damping term to this new HONLS equation. We find irreversible downshifting...

Islas, A. and Schober, C. M.: Rogue waves, dissipation, and downshifting, Physica D, submitted, 2010.; Ablowitz, M. J., Hammack, J., Henderson, D., and Schober, C. M.: Modulated Periodic Stokes Waves in Deep Water, Phys. Rev. Lett., 84, 887–890, 2000.; Ablowitz, M. J., Hammack, J., Henderson, D., and Schober, C. M.: Long time dynamics of the modulational instability of deep water waves, Physica D, 152–153, 416–433, 2001.; Ablowitz, M. J. and Segur, H.: Solitons and the I...

Read More
  • Cover Image

Time-predictable Model Applicability for Earthquake Occurrence in ...

By: H. N. Singh; A. Kumar; A. Panthi; H. Paudyal; D. Shanker

Description: Department of Geophysics, Banaras Hindu University, Varanasi, UP, India. Northeast India and its vicinity is one of the seismically most active regions in the world, where a few large and several moderate earthquakes have occurred in the past. In this study the region of northeast India has been considered for an earthquake generation model using earthquake data as reported by earthquake catalogues National Geophysical Data Centre, National Earthquake In...

Acharyya, S. K.: Geology and Tectonics of NE India, J. Geophys., XXVI(1), 35–39, 2005.; Anagnos, T. and Kiremidjian, A. S.: Stochastic time-predictable model for earthquake occurrences, Bull. Seismo. Soc. Am., 74, 2593–2611, 1984.; Chen, W. P. and Molnar, P.: Source parameters of earthquakes and intrplate deformation beneath the Shillong plateau and the Northern Indoburman ranges, J. Geophys. Res., 95, 12527–12552, 1990.; Desikachar, S. K.: A review of tectonic and geolo...

Read More
  • Cover Image

Wet-snow Avalanche Interaction with a Deflecting Dam: Field Observ...

By: Y. Bühler; I. Sonatore; S. Margreth; B. Sovilla

Description: Warning and Prevention Research Unit, WSL Institute for Snow and Avalanche Research SLF, Flüelastrasse 11, Davos Dorf, 7260, Switzerland. In avalanche-prone areas, deflecting dams are widely used to divert avalanches away from endangered objects. In recent years, their effectiveness has been questioned when several large and multiple avalanches have overrun such dams.

In 2008, we were able to observe a large wet-snow avalanche, characteriz...

Balmforth, N. and Mandre, S.: Dynamics of roll waves, J. Fluid Mech., 514, 1–33, 2004.; Baroudi, D., Sovilla, B., and Thibert, E.: Effects of flow regime and sensor geometry on snow avalanche impact pressure measurements, J. Glaciol. 57, 1–12, 2011.; Baillifard, M.-A.: Interaction between snow avalanches and catching dams, Ph.D. thesis, ETHZ, Zürich, 2007.; Bartelt, P. and Buser, O.: Frictional relaxation in avalanches, Ann. Glaciol., 54, 121–130, 2010.; Bartelt, P. and ...

Read More
  • Cover Image

Transient Postseismic Mantle Relaxation Following 2004 Sumatra Ear...

By: S. K. Arora; P. S. Sunil; S. K. Prajapati; C. D. Reddy

Description: Indian Institute of Geomagnetism, New Panvel, Navi Mumbai, India. Throughout the world, the tsunami generation potential of some large under-sea earthquakes significantly contributes to regional seismic hazard, which gives rise to significant risk in the near-shore provinces where human settlements are in sizeable population, often referred to as coastal seismic risk. In this context, we show from the pertinent GPS data that the transient stresses gener...

Aki, K. and Richards, P. G.: Quantitative seismology, 2nd Edn., University Science Books, 720 pp., 2002.; Ammon, J. C., Ji, C., Thio, H., Robinson, D., Ni, S., Hjorleifsdottir, V., Kanamori, H., Lay, T., Das, S., Helmberger, D., Ichinose, G., Polet, J., and Wald, D.: Rupture process of the 2004 Sumatra-Andaman earthquake, Science, 308, 1133–1139, 2005.; Arora, B. R. and Reddy, C. D.: Correlation between high electrical conductivity and seismicity: role of fluids, Ind. Ge...

Read More
  • Cover Image

Landslide Observation and Volume Estimation in Central Georgia Bas...

By: T.R. Walter; M. Shirzaei; J. Zschau; E. Nikolaeva

Description: Department 2 – Physics of the Earth, Helmholtz Center Potsdam – GFZ German Research Center of Geosciences, Potsdam, Germany. The republic of Georgia is a mountainous and tectonically active area that is vulnerable to landslides. Because landslides are one of the most devastating natural hazards, their detection and monitoring is of great importance. In this study we report on a previously unknown landslide in central Georgia near the town of Sachkhere. W...

Chen, C., Zhang, J., and Lu, L.: Identification of Layover and Shadow Regions in InSAR Image, 2011 Int. Symp. Image Data Fusion, IEEE, 1–4, 2011.; Canuti, P., Casagli, N., Catani, F., Falorni, G., and Farina, P.: Integration of Remote Sensing Techniques in Different Stages of Landslide Response, Prog. Landslide Sci., 251–260, 2007.; Cardenal, J., Mata, E., Delgado, J., Hernandez, M. A., and Gonzalez, A.: Close range digital photogrammetry techniques applied to landslides...

Read More
  • Cover Image

A Method for Predicting the Factor of Safety of an Infinite Slope ...

By: J. Choi; J.-h. Lee; H.-j. Park; B.-g. Chae

Description: Korea Institute of Geoscience and Mineral Resources, 305-350 Daejeon, Republic of Korea. Most landslides in Korea are classified as shallow landslides with an average depth of less than 2 m. These shallow landslides are associated with the advance of a wetting front in the unsaturated soil due to rainfall infiltration, which results in an increase in water content and a reduction in the matric suction in the soil. Therefore, this study presents a modifie...

Borga, M., Dalla Fontana, G., Gregoretti, C., and Marchi, L.: Assessment of shallow landsliding by using a physically based model of hillslope stability, Hydrol. Process., 16, 2833–2851, 2002.; Cannon, S. H. and Ellen, S. D.: Rainfall conditions for abundant debris avalanches, San Francisco Bay region, California, Calif. Geol., 38, 267–272, 1985.; Cepeda, J., Chavez, J. A., and Martinez, C. C.: Procedure for the selection of runout model parameters from landslide back an...

Read More
  • Cover Image

Temporal Dependence of the Selectivity Property of Ses Stations in...

By: E. Dologlou

Description: Solid State Section, Department of Physics, University of Athens, Panepistimiopolis, Zografos 157 84 Athens, Greece. The selectivity property of the SES stations, IOA, PIR and PAT in western Greece, based on reported precursory SES signals and associated large earthquakes (Mw≥5.4) that occurred from 1983 to the end of 2008, has been examined. Interesting temporal dependence of the sensitive ability of these stations has been unveiled. P...

Baker, C., Hatzfeld, D., Lyon-Caen, H., Papadimitriou, E., and Rigo, A.: Earthquake mechanisms of the Adriatic Sea and Western Greece: implications for the oceanic subduction-continental collision transition, Geophys. J. Int., 131, 559–594, 1997.; Brodsky, E., Karakostas, V., and Kanamori, H.: A new observation of dynamically triggered regional seismicity: earthquakes in Greece following the August, 1999, Izmit, Turkey earthquake, Geophys. Res. Lett., 27, 2741–2744, 2000...

Read More
  • Cover Image

An Ising Model for Earthquake Dynamics : Volume 14, Issue 1 (19/01...

By: A. M. Posadas; A. Jiménez; K. F. Tiampo

Description: Department of Earth Sciences Biological and Geological Sciences, University of Western Ontario, London, Canada. This paper focuses on extracting the information contained in seismic space-time patterns and their dynamics. The Greek catalog recorded from 1901 to 1999 is analyzed. An Ising Cellular Automata representation technique is developed to reconstruct the history of these patterns. We find that there is strong correlation in the region, and that sm...

Aki, K.: Correlogram analyses of seismograms by means of a simple automatic computer, J. Phys. Earth, 4, 71–79, 1956.; Allègre, C J. and Le Mouel, J L.: Introduction of Scaling Technique in Brittle Failure of Rocks, Phys. Earth Planet Inter., 87, 85–93, 1994.; Allègre, C J., Le Mouel, J L., and Provost, A.: Scaling Rules in Rock Fracture and Possible Implications for Earthquake Predictions, Nature, 297, 47–49, 1982.; Anghel, M., Klein, W., Rundle, J B., and Martins, J S ...

Read More
  • Cover Image

Transformation of Frequency-magnitude Relation Prior to Large Even...

By: A. Soloviev

Description: International Institute of Earthquake Prediction Theory and Mathematical Geophysics, Russian Academy of Sciences, Moscow, Russia. The b-value change in the frequency-magnitude (FM) distribution for a synthetic earthquake catalogue obtained by means of the model of block structure dynamics has been studied. The catalogue is divided into time periods preceding strong earthquakes and time periods that do not precede strong earthquakes. The separate a...

Aki, K.: Maximum likelihood estimate of b in formula log N=a–b M and its confidence limits, Bull. Earthquake Res. Inst. Univ. Tokyo, 43, 237–239, 1965.; Allègre, C. J., Le Mou\el, J.-L., and Provost, A.: Scaling rules in rock fracture and possible implications for earthquake prediction, Nature, 297, 47–49, 1982.; Allègre, C. J., Le Mou\el, J.-L., Chau, H. D., and Narteau, C.: Scaling organization of fracture tectonics (SOFT) and earthquake mechanism, Phys. Earth Planet. ...

Read More
  • Cover Image

Solar Cycle Dependence of Scaling in Solar Wind Fluctuations : Vol...

By: K. Kiyani; B. Hnat; S. C. Chapman

Description: Centre for Fusion, Space and Astrophysics, Physics Department, University of Warwick, Coventry, CV4 7AL, UK. In this review we collate recent results for the statistical scaling properties of fluctuations in the solar wind with a view to synthesizing two descriptions: that of evolving MHD turbulence and that of a scaling signature of coronal origin that passively propagates with the solar wind. The scenario that emerges is that of coexistent signatures w...

REFERENCE 1 \beginthebibliography \bibitem[Aschwanden(2000)] Aschwanden2000 Aschwanden, M. J.: Time variability of the quiet sun observed with TRACE. II. Physical parameters, temperature evolution, and energetics of extreme-ultraviolet nanoflares Astrophys. J., 535, 1047, 2000.; Aschwanden, M. J. and Parnell, C. E.: Nanoflare statistics from first principles: fractal geometry and temperature synthesis, Astrophys. J., 572, 1048, 2002.; Barenblatt, G. I.: Scaling, self-sim...

Read More
  • Cover Image

Multiscaling of Porous Soils as Heterogeneous Complex Networks : V...

By: R. M. Benito; J. C. Losada; J. P. Cárdenas; F. Borondo; A. Santiago; A. M. Tarquis

Description: Grupo de Sistemas Complejos, Departamento de Física, E.T.S.I. Agrónomos, Universidad Politécnica de Madrid, 28040 Madrid, Spain. In this paper we present a complex network model based on a heterogeneous preferential attachment scheme to quantify the structure of porous soils. Under this perspective pores are represented by nodes and the space for the flow of fluids between them is represented by links. Pore properties such as position and size are descri...

Albert, R. and Barabási, A.-L.: Statistical mechanics of complex networks, Rev. Mod. Phys., 74(1), 47–97, 2002.; Bak, P., Tang, C., and Wiesenfeld, K.: Self-organized criticality: an explanation of 1/f noise, Phys. Rev. Lett., 59, 381-384, 1987.; Barabási, A.-L. and Albert, R.: Emergence of scaling in random networks, Science 286, 509–512, 1999.; Barabási, A.-L., Albert, R., and Jeong, H.: Mean-field theory for scale-free random networks, Phys. A., 272, 173–197, 1999.; B...

Read More
  • Cover Image

Nonlinear Electron Acoustic Structures Generated on the High-poten...

By: M. Berthomier; R. Pottelette

Description: LPP-CNRS/INSU, 4 avenue de Neptune, 94107 Saint-Maur des Fossés, France. High-time resolution measurements of the electron distribution function performed in the auroral upward current region reveals a large asymmetry between the low- and high-potential sides of a double-layer. The latter side is characterized by a large enhancement of a locally trapped electron population which corresponds to a significant part (~up to 30%) of the total electron density. ...

Bale, S. D., Hull, A., Larson, D. E., Lin, R. P., Muschietti, L., Kellogg, P. J., Goetz, K., and Monson, S. J. : Electrostatic turbulence and Debye-scale structures associated with electron thermalization at collisionless shocks, Astrophys. J., 575, L25–L28, 2002.; Berthomier, M., Pottelette, R., Malingre, M., and Khotyaintsev, Y.: Electron-acoustic solitons in an electron-beam plasma system, Phys. Plasmas, 9, 2987–2994, 2000.; Carlson, C. W., Pfaff, R., and Watzin, J. G...

Read More
  • Cover Image

Predictability of the Monthly North Atlantic Oscillation Index Bas...

By: X. Lana; A. Burgueño; C. Serra; M. D. Martínez

Description: Dept. de Física Aplicada, Universitat Politècnica de Catalunya, Av. Diagonal 649, 08028 Barcelona, Spain. The predictability of the monthly North Atlantic Oscillation, NAO, index is analysed from the point of view of different fractal concepts and dynamic system theory such as lacunarity, rescaled analysis (Hurst exponent) and reconstruction theorem (embedding and correlation dimensions, Kolmogorov entropy and Lyapunov exponents). The main results point ...

Ambaum, M. H. P., Hoskins, B. J., and Stephenson, D. B.: Arctic oscillation or North Atlantic oscillation?, J. Climate, 14, 3495–3507, 2001.; Cohen, A. and Procaccia, I.: Estimation of Kolmogorv entropy from time signals of dissipative and conservative dynamical systems, Phys. Rev., A, 31, 1872–1882, 1983.; Bera Anil, K. and Jarque, C. M.: Efficient tests for normality, homoscedasticity and serial independence of regression residuals, Econ. Lett., 7(4), 313–318, 1981.; C...

Read More
  • Cover Image

Identification of Dynamical Transitions in Marine Palaeoclimate Re...

By: K. Rehfeld; R. V. Donner; N. Marwan; J. Kurths; M. H. Trauth; J. F. Donges

Description: Potsdam Institute for Climate Impact Research, P.O. Box 601203, 14412 Potsdam, Germany. The analysis of palaeoclimate time series is usually affected by severe methodological problems, resulting primarily from non-equidistant sampling and uncertain age models. As an alternative to existing methods of time series analysis, in this paper we argue that the statistical properties of recurrence networks – a recently developed approach – are promising candida...

Abarbanel, H. D. I.: Analysis of Observed Chaotic Data (Springer, New York), 1996.; Babu, P. and Stoica, P.: Spectral analysis of nonuniformly sampled data – a review, Dig. Sign. Proc. 20, 359–378, 2010.; Barrio, R. and Serrano, S.: A three-parametric study of the Lorenz model, Physica D, 229, 43–51, 2007. {; Boccaletti, S., Latora, V., Moreno, Y., Chavez, M., and Hwang, D.: Complex networks: Structure and dynamics, Phys. Rep., 424, 175–308, 2006.}; Brockwell, P. J. and ...

Read More
  • Cover Image

Dynamics of Simple Earthquake Model with Time Delay and Variation ...

By: N. Vasović; I. Franović; K. Todorović; S. Kostić

Description: University of Belgrade Faculty of Mining and Geology, Ðušina 7, Belgrade, Serbia. We examine the dynamical behaviour of the phenomenological Burridge–Knopoff-like model with one and two blocks, where the friction term is supplemented by the time delay Τ and the variable friction strength c. Time delay is assumed to reflect the initial quiescent period of the fault healing, considered to be a function of history of sliding. Friction strength param...

Aronson, D., Ermentout, G., and Kopell, N.: Amplitude response of coupled oscillators, Physica D, 41, 403–449, 1990.; Bak, P. and Tang, C.: Earthquakes as a self-organized critical phenomenon, J. Geophys. Res., 94, 15635–15637, 1989.; Behnsen, J. and Faulkner, D. R.: The effect of mineralogy and effective normal stress on frictional strength of sheet silicates, J. Struct. Geol., 30, 1–13, 2012.; Beltrami, H. and Mareshal, J.: Strange seismic attractor?, Pure Appl. Geophy...

Read More
 
439
|
440
|
441
|
442
|
443
Records: 8821 - 8840 of 8,858 - Pages: 



Copyright © World Library Foundation. All rights reserved. eBooks from World 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.