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Academic literature on the topic 'Propagating'

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Published: 10 December 2022
Last updated: 28 January 2023

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Journal articles on the topic "Propagating"

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KAMIYAMA, KYOHEI, and TETSURO ENDO. "CHAOS OF THE PROPAGATING PULSE WAVE IN A RING OF SIX-COUPLED BISTABLE OSCILLATORS." International Journal of Bifurcation and Chaos 22, no. 04 (April 2012): 1250091. http://dx.doi.org/10.1142/s0218127412500915.

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In this paper, some properties of the chaotic propagating pulse wave in a ring of six-coupled bistable oscillators are investigated. When coupling factor α becomes large beyond a certain critical value, the standing pulse wave converts to a propagating pulse wave. Further, as α is increased, the propagating pulse wave behaves chaotically. We find some interesting properties of the chaotic propagating pulse wave such as random change of propagating direction and stepwise change of pulse position with respect to time. In particular, we notice that the shape of probability density of one-direction propagation time and distance is similar to that of Logistic map.
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Cheng, Yifeng, Lu Wang, and Tim Li. "Causes of Interdecadal Increase in the Intraseasonal Rainfall Variability over Southern China around the Early 1990s." Journal of Climate 33, no. 21 (November 1, 2020): 9481–96. http://dx.doi.org/10.1175/jcli-d-20-0047.1.

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AbstractThe southern China (SC) summer rainfall exhibits prominent intraseasonal variability, which exhibits a significant increase in the early 1990s with the turning point at 1993. The SC intraseasonal rainfall events could be divided into three categories according to different propagations, including the southward-propagating (SP) events, the northwestward-propagating (NWP) events, and the northward-propagating (NP) events. This study explores the causes of the observed interdecadal increase in the intraseasonal rainfall variability over SC by comparing the SC intraseasonal rainfall events of each category between the former decadal period (P1) and the later decadal period (P2). The result indicates that such interdecadal change is due to the more frequent NP events coming from the South China Sea (SCS). Based on the moisture and vorticity budget analysis, it is revealed that the summer mean southerly wind in the middle to lower troposphere is the dominant factor of the northward propagation over the SCS, as it could induce positive meridional moisture and vorticity advection anomalies ahead of the convection. A marked interdecadal enhancement of the summer mean southerly wind over the SCS is the cause of more frequent occurrence of NP events over SC, as it provides more favorable conditions for the northward propagation. The change of the atmospheric instability over the SCS where the NP convection perturbation originates was also investigated, but no significant change was found.
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Ehrlein, H. J., M. Schemann, and M. L. Siegle. "Motor patterns of small intestine determined by closely spaced extraluminal transducers and videofluoroscopy." American Journal of Physiology-Gastrointestinal and Liver Physiology 253, no. 3 (September 1, 1987): G259—G267. http://dx.doi.org/10.1152/ajpgi.1987.253.3.g259.

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In the canine small intestine several simple (S) and complex (C) patterns of propulsive and nonpropulsive activities were found. The nonpropulsive activity consisted of 1) stationary individual contractions (S) and 2) stationary clusters of contractions (C). Patterns leading to aboral propulsion of luminal contents were 1) propagating contractions (S), 2) propagating power contractions (S), 3) phase III of the migrating motor complex (C), and 4) migrating clusters of contractions (C). The propagation velocities of the propulsive motor patterns differed markedly; they increased in the following order: phase III, migrating clustered contractions, propagating power contractions, propagating contractions. A retrograde transport of luminal contents was produced by two different activities: 1) retrograde propagating contractions (S) and 2) retrograde power contractions (S). They were accompanied with enterogastric reflux.
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Sinha, Bablu, and Brenda Topliss. "A Description of Interdecadal Time-Scale Propagating North Atlantic Sea Surface Temperature Anomalies and Their Effect on Winter European Climate, 1948–2002." Journal of Climate 19, no. 7 (April 1, 2006): 1067–79. http://dx.doi.org/10.1175/jcli3646.1.

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Abstract Eastward-propagating interdecadal time-scale sea surface temperature (SST) winter anomalies have been shown to exist at the North Atlantic subpolar/subtropical gyre boundary. Heat flux and surface air temperature signatures of these anomalies are investigated using satellite- and ship-based SST observations and atmospheric reanalysis. Using bandpass filter analysis, retaining periods between 9 and 25 yr, a succession of coherent propagating SST anomalies is identified. The size, speed, propagation path, and decay characteristics of propagating anomalies detected during the period 1948–2002 are documented. The behavior of the propagations changes between the periods 1948–70 and 1970–2002. In the former period, SST anomalies propagated from the east coast of North America to the British Isles in ∼10 yr. The anomalies displayed a well-defined life cycle, growing in the western basin (west of 40°W) and decaying in the eastern basin. During the period 1970–2002, SST anomalies did not propagate deep into the eastern basin, but grew in the western basin and then ceased propagating. Oceanic anomalies have a comparable marked signature in surface sensible and latent heat fluxes and in surface air temperature. Winter surface heat flux anomalies act to amplify SST anomalies during the middle of their lifetimes, normally in the west-central Atlantic. At other times, heat flux anomalies are associated with decay of anomalies. Surface heat fluxes do not always act to cause propagation, and it is likely that other processes such as advection play a role in the propagation mechanism. North European winter surface air temperatures are raised or lowered by up to ±0.5°C over decadal time scales (∼1/3 of the total variation over the United Kingdom) when an SST anomaly reaches the eastern boundary. A variety of processes can cause SST variation on decadal time scales at the eastern boundary, but in the 1950s and 1960s the variability at these periods was the signature of features that had propagated across the Atlantic from the North American coast.
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Kim, Hyo Jin, Sang Ho Lee, and Moon Kyum Kim. "Prediction of Crack Propagation under Dynamic Loading Conditions by Using the Enhanced Point Collocation Meshfree Method." Key Engineering Materials 324-325 (November 2006): 1059–62. http://dx.doi.org/10.4028/www.scientific.net/kem.324-325.1059.

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An efficient and accurate numerical program with enhanced point collocation meshfree method is developed to simulate crack propagation under dynamic loading conditions. The enhanced meshfree method with point collocation formulation and derivative approximation in solids is presented. This study also presents the crack propagation criterion and computation of propagating direction, and the total structure of the numerical program named PCMDYC(Point Collocation Meshfree method for DYnamic Crack propagation). Several examples of crack propagation under dynamic loads are analyzed to simulate the arbitrary crack propagation under dynamic loads. The results show that PCMDYC predicts the propagating path of crack under dynamic loading conditions accurately and robustly.
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EZQUERRO, J. M., G. HERNÁNDEZ, M. NOMBELA, OSCAR G. CALDERÓN, and SONIA MELLE. "FAST LIGHT ENHANCEMENT BY BIDIRECTIONAL PUMPING IN ERBIUM-DOPED FIBERS." Journal of Nonlinear Optical Physics & Materials 19, no. 01 (March 2010): 153–65. http://dx.doi.org/10.1142/s021886351000498x.

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We analyze the effect of pump configuration on the propagation velocity of an amplitude-modulated 1536 nm signal propagating through an ultra-highly doped erbium fiber amplifier. The nonlinear effects arising from the high value of the doping level lead to a strong variation of the pump power and signal gain along the fiber. We found that bidirectional pumping presents larger advancements than co-propagating and counter-propagating configurations. Numerical simulations allow us to explain the phenomenon in terms of the gain profile uniformity.
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Dan, Wensong, Xiang Zang, Fei Wang, Yimin Zhou, Yiqing Xu, Ruipin Chen, and Guoquan Zhou. "Interference enhancement effect in a single Airyprime beam propagating in free space." Optics Express 30, no. 18 (August 22, 2022): 32704. http://dx.doi.org/10.1364/oe.469593.

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An analytical expression of a single Airyprime beam propagating in free space is derived. Upon propagation in free space, a single Airyprime beam in arbitrary transverse direction is the coherent superposition of the Airyprime and the Airy-related modes, which results in the interference enhancement effect under the appropriate condition. The Airy-related mode is the conventional propagating Airy mode with an additional π/2 phase shift and a weight coefficient of half the normalized propagation distance. Due to the peak light intensity in the initial plane being set to be 1, the strength of interference enhancement effect is characterized by the maximum light intensity. The maximum light intensity of a single Airyprime beam propagating in free space is independent of the scaling factor and is only decided by the exponential decay factor. When the exponential decay factor is above the saturated value, the interference enhancement effect disappears. When the exponential decay factor decreases from the saturated value, the maximum light intensity of a single propagating Airyprime beam increases, and the position of maximum light intensity is getting farther away. With the increase of the scaling factor, the position of maximum light intensity of a single propagating Airyprime beam is extended. The intensity distribution and the transverse Poynting vector of a single propagating Airyprime beam are demonstrated in different observation planes of free space. The flow direction of transverse energy flux effectively supports the interference enhancement effect of a single propagating Airyprime beam. The Airyprime beam is experimentally generated, and the interference enhancement effect is experimentally confirmed. The interference enhancement effect is conducive to the practical application of a single Airyprime beam.
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Sellitto, Antonio, Patrizia Rogolino, and Isabella Carlomagno. "Heat-pulse propagation along nonequilibrium nanowires in thermomass theory." Communications in Applied and Industrial Mathematics 7, no. 2 (June 1, 2016): 39–55. http://dx.doi.org/10.1515/caim-2016-0005.

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AbstractWe analyze the consequences of the nonlinear terms in the heat-transport equation of the thermomass theory on heat pulses propagating in a nanowire in nonequilibrium situations. As a consequence of the temperature dependence of the speeds of propagation, in temperature ranges wherein the specific heat shows negligible variations, heat pulses will shrink (or extend) spatially, and will increase (or decrease) their average temperature when propagating along a temperature gradient. A comparison with the results predicted by a different theoretical proposal on the shape of a propagating heat pulse is made, too.
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Lin, Anthony Y., Peng Du, Philip G. Dinning, John W. Arkwright, Jozef P. Kamp, Leo K. Cheng, Ian P. Bissett, and Gregory O'Grady. "High-resolution anatomic correlation of cyclic motor patterns in the human colon: Evidence of a rectosigmoid brake." American Journal of Physiology-Gastrointestinal and Liver Physiology 312, no. 5 (May 1, 2017): G508—G515. http://dx.doi.org/10.1152/ajpgi.00021.2017.

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Colonic cyclic motor patterns (CMPs) have been hypothesized to act as a brake to limit rectal filling. However, the spatiotemporal profile of CMPs, including anatomic origins and distributions, remains unclear. This study characterized colonic CMPs using high-resolution (HR) manometry (72 sensors, 1-cm resolution) and their relationship with proximal antegrade propagating events. Nine healthy volunteers were recruited. Recordings were performed over 4 h, with a 700-kcal meal given after 2 h. Propagating events were visually identified and analyzed by pattern, origin, amplitude, extent of propagation, velocity, and duration. Manometric data were normalized using anatomic landmarks identified on abdominal radiographs. These were mapped over a three-dimensional anatomic model. CMPs comprised a majority of detected propagating events. Most occurred postprandially and were retrograde propagating events (84.9 ± 26.0 retrograde vs. 14.3 ± 11.8 antegrade events/2 h, P = 0.004). The dominant sites of initiation for retrograde CMPs were in the rectosigmoid region, with patterns proximally propagating by a mean distance of 12.4 ± 0.3 cm. There were significant differences in the characteristics of CMPs depending on the direction of travel and site of initiation. Association analysis showed that proximal antegrade propagating events occurred independently of CMPs. This study accurately characterized CMPs with anatomic correlation. CMPs were unlikely to be triggered by proximal antegrade propagating events in our study context. However, the distal origin and prominence of retrograde CMPs could still act as a mechanism to limit rectal filling and support the theory of a “rectosigmoid brake.” NEW & NOTEWORTHY Retrograde cyclic motor patterns (CMPs) are the dominant motor patterns in a healthy prepared human colon. The major sites of initiation are in the rectosigmoid region, with retrograde propagation, supporting the idea of a “rectosigmoid brake.” A significant increase in the number of CMPs is seen after a meal. In our study context, the majority of CMPs occurred independent of proximal propagating events, suggesting that CMPs are primarily controlled by external innervation.
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ASLANIDI, O. V., and A. V. HOLDEN. "A SIMPLE MODEL FOR INTERACTION OF VOLTAGE AND CALCIUM DYNAMICS IN VIRTUAL VENTRICULAR TISSUE." International Journal of Bifurcation and Chaos 13, no. 12 (December 2003): 3873–86. http://dx.doi.org/10.1142/s0218127403008776.

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A simple two-variable model is used to replace the formulation of calcium dynamics in the Luo–Rudy ventricular cell model. Virtual ventricular cell and tissue are developed and validated to reproduce restitution properties and calcium-dependent voltage patterns present in the original model. Basic interactions between the membrane potential and Ca 2+ dynamics in the virtual cell and a strand of the virtual tissue are studied. Intracellular calcium waves can be linked to both action potentials (APs) and delayed afterdepolarizations (DADs). An intracellular calcium wave propagating from the cell interior can induce an AP upon reaching the cell membrane. The voltage and the intracellular Ca 2+ patterns within the same cell can be highly desynchronized. In a one-dimensional strand of the virtual tissue calcium motion is driven by the AP propagation. However, calcium release can be induced upon certain conditions (e.g. Na + overload of the cells), which results in DADs propagating in the wake of AP. Such propagating DADs can reach the excitation threshold, generating a pair of extrasystolic APs. Collision of a propagating AP with a site of elevated intracellular Ca 2+ concentration does not affect the propagation under the normal conditions. Under Na + overload local elevation of the intracellular Ca 2+ leads to generation of an extrasystolic AP, which destroys the original propagating AP.
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Dissertations / Theses on the topic "Propagating"

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Mujahid, Aazani. "Vertical structure of propagating features." Thesis, University of Southampton, 2010. https://eprints.soton.ac.uk/209541/.

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The inter- and intra-annual variability of the western boundary North Atlantic 26.5 ◦N region has been central in the observations of the strength and structure of the Atlantic Meridional Overturning Circulation (AMOC). Interest in this work began when some recent work estimated the inter-annual fluctuations of the AMOC at 26.5 ◦N to be up to 3 Sv, and with a 25% reduction in strength over the last 50 years. There was increased need to understand both the short and long-term changes in the region and the responsible mechanisms for its variability. With the unique use of RAPID-MOC and MOCHA transatlantic mooring array in combination with satellite altimetry and transatlantic hydrographic observations, we find evidence that a significant amount of the variability can be accounted for by various mechanisms on different time-space scales including propagating features. Here we present simultaneous assimilation of surface and sub-surface observations that shows fresh insights into the contribution of the propagating features in the vertical structure of the temporal-spatial evolution in the western boundary 26.5 ◦N Atlantic. There is great prospect in using altimetry observations to reflect and infer the variability throughout the water-column - an effort vital in future interpretations of the AMOC fluctuations using altimetry and numerical models.
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Christy, Clifford T. "Numerical modeling of a propagating crack." Thesis, Monterey, Calif. : Springfield, Va. : Naval Postgraduate School ; Available from National Technical Information Service, 1993. http://handle.dtic.mil/100.2/ADA272604.

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Collier, Joanne Ruth. "Spatial and propagating patterns in embyrology." Thesis, University of Oxford, 1997. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.389214.

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Adamson, Fiona. "Propagating reaction fronts in zirconia tubes." Thesis, University of Birmingham, 2004. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.487432.

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Patel, Samir N. D. H. "Modelling of premixed turbulent propagating flames." Thesis, Loughborough University, 2001. https://dspace.lboro.ac.uk/2134/6810.

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Combustion has an active role in our modern lives as we continue to exploit its potential for many of our requirements. For example, its use to produce electricity and to power land, air and space transport vehicles. Increasing competition from the onset of the Industrial Revolution has led to a greater emphasis on improving technology. Furthermore, the ongoing issue of global warming has led to government legislation on emissions. These problems have led to increasing interest in gaining fundamental critical details on flow and combustion in simple and complex engineering geometries. Over the past twenty to thirty years numerical methods have demonstrated their success at obtaining information on flow and combustion. However, there is a continuing need to develop many of the components comprising a numerical method. The work reported here stems from the modelling of turbulent premixed flames. Turbulent premixed flames is a mode of combustion where the fuel and air mix before reacting. Such a combustion mode is present in spark ignition (SI) and gas turbine (GT) engines, and in explosions. Modelling of the combustion process within these practical applications can provide useful information. For example, in aiding the design of the piston bowl and the combustion chamber of SI and GT engines, respectively. Furthermore, the simulation of explosions can result in safer designs for fuel storage and supply facilities. A central parameter to be modelled in turbulent premixed flame propagation is the rate of chemical reaction. This is a crucial parameter since it controls the rate of flame propagation, flame structure, and resulting pressure history. However, to date the challenge of accurately modelling the rate of chemical reaction over a range of turbulence conditions remains. Therefore, in this thesis, mathematical models for the mean rate of reaction are examined, developed, and validated against time-resolved experimental data. The aim of the work is to improve the modelling of the mean rate of reaction in order to achieve closer agreement with available experimental results on rates of flame propagation, flame structure, and pressure history. Recent, practical and numerical experiments have provided support for algebraic and transport equation models for the flame surface area to volume ratio to model the mean rate of reaction. Here, these models are examined and developed with one-, two-, and three-dimensional computational fluid dynamics (CFD) calculations. The simulations were carried out using both an in-house code (Turbulent Reacting Flows, TRF) and a commercially available CFD code (FIRE). The TRF code was used to investigate the ability of existing and developed models to accurately predict turbulent burning velocity. The models were then validated further by simulating turbulent flame propagation in two combustion chamber configurations with built-in solid obstacles. Hence verifying the models for different turbulence and geometry conditions. A nonlinear eddy-viscosity model was implemented into the TRF code to assess the significance of turbulence modelling in turbulent premixed flames. Finally, the developed models were implemented in the FIRE code to carry out three-dimensional calculations to verify reproducibility of the TRF code results and to investigate secondary flow effects. Two reaction rate models were developed namely the algebraic (BML) and transport flame surface density (FSD) models. Both BML and FSD models yield plausible results for flame propagation in turbulent premixed combustion. However, modifications to the BML model were required for low turbulence conditions, and superior results were obtained with the FSD model. Both models struggled in capturing the interaction between flame and turbulent wakes behind obstacles when the standard linear eddy-viscosity turbulence was used. However, the application of a non-linear version of the eddy-viscosity model yields improved results for flame structure and speed around the obstacle, highlighting the importance of the turbulence model. The 3D calculations using the developed combustion model show good reproducibility of the 2D findings. Furthermore, the flame propagation, pressure history, and flame speed results are found to be in plausible agreement with the experimental data. It is shown that secondary flow mainly has the effect of increasing the rate of flame propagation in the single obstacle combustion chamber, and that the influence of secondary flow is dominant in the turbulent wake behind the obstacles.
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Vilela, Proaño Pablo Martin. "Propagating reaction fronts in moving fluids." Doctoral thesis, Pontificia Universidad Católica del Perú, 2015. http://tesis.pucp.edu.pe/repositorio/handle/123456789/6345.

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La presente tesis tuvo como objetivo estudiar frentes de reacción modelados mediante la ecuación de Kuramoto-Sivashinsky sujetos a diferentes tipos de movimiento de fluido: flujo externo de Poiseuille, el cual es contrastado con el flujo de Couette, y flujo convectivo debido a la inestabilidad de Rayleigh-Taylor. En el primer caso, los frentes se propagan a favor o en contra de un flujo estacionario bidimensional entre dos placas paralelas que se conoce como flujo de Poiseuille. Para pequeñas distancias entre las placas, encontramos frentes estacionarios que pueden ser planos, simétricos o asimétricos, dependiendo de la separación de las placas y de la velocidad promedio del fluido externo. Adicionalmente, descubrimos que los frentes simétricos estables que se propagan en sentido opuesto al flujo simétrico externo se vuelven asimétricos al incrementar la rapidez del flujo externo. En el caso del flujo externo de Couette, el flujo es producido por el movimiento de dos placas paralelas en sentidos opuestos. Hallamos que la estabilidad y la forma de los frentes estacionarios dependen de la velocidad relativa entre las placas y de su separación. Estos parámetros desempeñan un papel importante, puesto que pueden convertir frentes inestables en estables. En el último caso, las inestabilidades en el frente producidas cuando un fluido más denso se encuentra encima de un fluido menos denso se conocen como inestabilidades de Rayleigh-Taylor y son causadas por la diferencia de densidades a través del frente bajo la acción de la gravedad. El frente describe la interfaz delgada que separa los fluidos de diferente densidad dentro de dos placas paralelas verticales; mientras que la convección causada por las fuerzas de flotación a través de la interfaz delgada determina el flujo debido a la inestabilidad de Rayleigh-Taylor. Para el estudio de los efectos del flujo externo sobre los frentes de reacción, primero obtuvimos los frentes y luego realizaremos un análisis de estabilidad lineal para determinar la estabilidad de los frentes bajo los tres tipos de movimiento del fluido. La forma de los frentes y sus respectivas regiones de estabilidad fueron contrastadas con los frentes en ausencia de flujo externo. Los resultados de la investigación fueron publicados en tres revistas internacionales arbitradas e indexadas: Physical Review E (2012), Chaos (2014), y European Physics Journal (2014). Adicionalmente, la tesis presenta resultados para frentes oscilantes y sus transiciones al caos debido a la interacción del frente de reacción con los flujos externos antes mencionados.
Tesis
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Weidlich, Matthias, Jan Mendling, and Mathias Weske. "Propagating Changes between Aligned Process Models." Elsevier, 2012. http://epub.wu.ac.at/3497/1/JSS12%2Dchange.pdf.

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There is a wide variety of drivers for business process modelling initiatives, reaching from organisational redesign to the development of information systems. Consequently, a common business process is often captured in multiple models that overlap in content due to serving different purposes. Business process management aims at exible adaptation to changing business needs. Hence, changes of business processes occur frequently and have to be incorporated in the respective process models. Once a process model is changed, related process models have to be updated accordingly, despite the fact that those process models may only be loosely coupled. In this article, we introduce an approach that supports change propagation between related process models. Given a change in one process model, we leverage the behavioural abstraction of behavioural profiles for corresponding activities in order to determine a change region in another model. Our approach is able to cope with changes in pairs of models that are not related by hierarchical refinement and show behavioural inconsistencies. We evaluate the applicability of our approach with two real-world process model collections. To this end, we either deduce change operations from different model revisions or rely on synthetic change operations.
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Morris, Harold Campbell. "Typogenetics : a logic of artificial propagating entities." Thesis, University of British Columbia, 1989. http://hdl.handle.net/2429/41447.

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This thesis deals with abstract models of propagation (especially, self—replication). As some of these reflector borrow from nature, a summary of biology's current understanding of natural reproduction (mitosis) is provided for background. However, the predominant concern is with entities realized in uninterpreted symbolic systems, and associated philosophical and design problems. Thus the comparison that is made between artificial and natural modes of propagation is intended primarily to enhance conception of the former. Automata constitute one type of formal model. With a simple Turing Table the concept of a self-replicating string is illustrated. The idea of a logical universe in which propagating "virtual" entities emerge and interact is explored with reference to cellular automata. A formal system called Typogenetics provides the centerpiece of this thesis. The system, first presented in an incomplete form in Hofstadter (1979), is here fully developed (augmented with a useful program for personal computers). A Typogenetics string ("strand," in analogy to a DNA strand) codes for operations that act to transform that very strand into descendant strands. Typogenetics strands exhibited include, among others, a pallindromc self-replicator coding for operations sufficient to replicate itself; a "self-perpetuator" deforming and then reforming itself through fully compensatory operations; and an "infinitely fertile" strand bearing an infinitude of unique descendants. Meta-logical proofs establish certain general propositions about the Typogenetics system, e.g. that for every strand there is a mother strand. Redactio reasoning, of potential general is ability beyond Typogenetics, shows how a hypothetical strand can be ruled out by establishing the incommensurability of its two identities qua packet of operations and qua operand. A Russellian—type paradoxical strand that has all and only the non—self-replicating strands for offspring is considered (is it a self—replicator?), spurring discussion of the Theory of Types and Hofstadter's "strange loops."
Arts, Faculty of
Philosophy, Department of
Graduate
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Hector, Andrew Lee. "Self propagating metathesis preparations of inorganic materials." Thesis, University College London (University of London), 1996. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.243565.

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Aldurayhim, Abdullah Mohammed. "Propagating waves in reaction cross-diffusion systems." Thesis, University of Exeter, 2017. http://hdl.handle.net/10871/31129.

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This research focuses on the reaction diffusion systems where the matrix of diffusion co- efficients is not diagonal. We call these systems reaction cross-diffusion systems. These systems possess interesting solutions that do not appear in the reaction self-diffusion systems that have a diagonal diffusion matrix. Compared to research conducted on re- action self-diffusion systems, the reaction cross-diffusion systems have received little attentions. The aim of this research is to extend existing literature on these systems. In this thesis we considered two-components reaction cross-diffusion systems. We find an ana- lytical solution of reaction diffusion system with replacing FitzHugh-Nagumo kinetics by quartic polynomial. Finding the analytical solution is extends analytical results pre- sented in [9]. This analytical solution is presented in a wave front profile. We study the possibility of imitating Fisher-KPP and ZFK-Nagumo front waves by our analytical solution which we have introduced. The existence of a quartic polynomial yields four different cases with respect to the positions of the roots of the quartic polynomial and the resting states of the wave front. We solve the problem numerically and compare the numerical solution to the analytical solution for those four cases. Finally, we extend the analysis of the different wave regimes in reaction cross- diffusion system with FitzHugh-Nagumo kinetics by varying parameters in the system using numerical continuation. We compute the speed of propagating waves in this sys- tem and show the corresponding eigenvalues of equilibrium which gives an indication about the profile of the propagating waves. We find a stable propagating wave that is not obtained by direct numerical simulation in [55]. We investigate the stability of prop- agating waves by using direct numerical simulation.
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Books on the topic "Propagating"

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M, Dole John, and Gibson James L, eds. Cutting propagation: A guide to propagating and producing floriculture crops. Batavia, Ill: Ball Pub., 2006.

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Propagation: [practical advice on propagating and sowing your own plants]. 2nd ed. Bicester: Aura Books, 2002.

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Larsen, Fenton E. Propagating plants from seed. 2nd ed. [Pullman, Wash.]: Washington State University Cooperative Extension, 2001.

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Callister, Victor. John Grierson: Propagating documentary. [Derby: Derbyshire College of Higher Education], 1988.

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Rob, Gardner, Jones-Roe Charlotte A, Bell C. Ritchie, Moore Ken, and North Carolina Botanical Garden, eds. Growing and propagating wild flowers. Chapel Hill: University of North Carolina Press, 1985.

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Summet, Jay W. End-user assertions: Propagating their implications. [Corvallis, OR]: Oregon State University, [Dept. of Computer Science, 2002.

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Summet, Jay W. End-user assertions: Propagating their implications. [Corvallis, OR]: Oregon State University, [Dept. of Computer Science, 2002.

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Yamauchi, Junji. Propagating beam analysis of optical waveguides. Baldock, Hertfordshire, England: Research Studies Press, 2003.

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Growing and propagating showy native woody plants. Chapel Hill: University of North Carolina Press, 1992.

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Kevin, Herlihy, ed. Propagating the word of Irish dissent, 1650-1800. Dublin, Ireland: Four Courts Press, 1998.

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Book chapters on the topic "Propagating"

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Hüchtker, Dietlind. "Propagating." In History as Performance, 119–54. First edition. | New York : Routledge Taylor & Francis Group, 2021. | Series: Routledge studies in cultural history ; 93: Routledge, 2020. http://dx.doi.org/10.4324/9781003089759-3.

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Mikhailov, Alexander S., and Gerhard Ertl. "Propagating Waves." In Chemical Complexity, 69–87. Cham: Springer International Publishing, 2017. http://dx.doi.org/10.1007/978-3-319-57377-9_6.

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McCleary, G. F. "Propagating Socialism." In Shaw, 60–61. London: Palgrave Macmillan UK, 1990. http://dx.doi.org/10.1007/978-1-349-05402-2_25.

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Neugebauer, Marcia. "Propagating Shocks." In Cosmic Rays in the Heliosphere, 125–32. New York, NY: Springer New York, 2010. http://dx.doi.org/10.1007/978-1-4614-9200-9_11.

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Ermentrout, G. Bard, and David H. Terman. "Propagating Action Potentials." In Interdisciplinary Applied Mathematics, 129–56. New York, NY: Springer New York, 2010. http://dx.doi.org/10.1007/978-0-387-87708-2_6.

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Kuehn, Kerry. "Propagating Electromagnetic Fields." In Undergraduate Lecture Notes in Physics, 411–22. Cham: Springer International Publishing, 2015. http://dx.doi.org/10.1007/978-3-319-21816-8_32.

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Ehlers, Rüdiger, and Francisco Palau Romero. "Approximately Propagation Complete and Conflict Propagating Constraint Encodings." In Theory and Applications of Satisfiability Testing – SAT 2018, 19–36. Cham: Springer International Publishing, 2018. http://dx.doi.org/10.1007/978-3-319-94144-8_2.

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Falmagne, Jean-Claude, and Christopher Doble. "Propagating Axioms via Meaningfulness." In On Meaningful Scientific Laws, 79–84. Berlin, Heidelberg: Springer Berlin Heidelberg, 2015. http://dx.doi.org/10.1007/978-3-662-46098-6_6.

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Lecoutre, Christophe, Nicolas Paris, Olivier Roussel, and Sébastien Tabary. "Propagating Soft Table Constraints." In Lecture Notes in Computer Science, 390–405. Berlin, Heidelberg: Springer Berlin Heidelberg, 2012. http://dx.doi.org/10.1007/978-3-642-33558-7_30.

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Liberman, Michael A. "Hydrodynamics of Propagating Flame." In Introduction to Physics and Chemistry of Combustion, 215–70. Berlin, Heidelberg: Springer Berlin Heidelberg, 2008. http://dx.doi.org/10.1007/978-3-540-78759-4_9.

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Conference papers on the topic "Propagating"

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Ayiter, Elif E., Selim S. Balcisoy, Murat Germen, and Selcuk Artut. "Propagating collaboration." In the 6th ACM SIGCHI conference. New York, New York, USA: ACM Press, 2007. http://dx.doi.org/10.1145/1254960.1254967.

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Bort, Heather, David P. Bunde, Zack Butler, Christopher Lynnly Hovey, and Cynthia Taylor. "Propagating Educational Innovations." In SIGCSE '19: The 50th ACM Technical Symposium on Computer Science Education. New York, NY, USA: ACM, 2019. http://dx.doi.org/10.1145/3287324.3287526.

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Daga, Enrico, Mathieu d'Aquin, and Enrico Motta. "Propagating Data Policies." In K-CAP 2017: Knowledge Capture Conference. New York, NY, USA: ACM, 2017. http://dx.doi.org/10.1145/3148011.3148022.

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Mafusire, C., and A. Forbes. "Propagating aberrated light." In SPIE LASE, edited by Alexis V. Kudryashov, Alan H. Paxton, and Vladimir S. Ilchenko. SPIE, 2012. http://dx.doi.org/10.1117/12.910598.

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Sinayoko, Samuel, Anurag Agarwal, and Zhiwei Hu. "On Separating Propagating and Non-Propagating Dynamics in Fluid-Flow Equations." In 15th AIAA/CEAS Aeroacoustics Conference (30th AIAA Aeroacoustics Conference). Reston, Virigina: American Institute of Aeronautics and Astronautics, 2009. http://dx.doi.org/10.2514/6.2009-3381.

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Koudas, Nick, Amit Marathe, and Divesh Srivastava. "Propagating Updates in SPIDER." In 2007 IEEE 23rd International Conference on Data Engineering. IEEE, 2007. http://dx.doi.org/10.1109/icde.2007.368973.

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Chiu, Terry Hui-Ye, and ShyMin Chen. "Propagating online social networks." In ASONAM '13: Advances in Social Networks Analysis and Mining 2013. New York, NY, USA: ACM, 2013. http://dx.doi.org/10.1145/2492517.2500277.

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Adewusi, S. A., and B. O. Al-Bedoor. "Detection of Propagating Cracks in Rotors Using Neural Networks." In ASME 2002 Pressure Vessels and Piping Conference. ASMEDC, 2002. http://dx.doi.org/10.1115/pvp2002-1518.

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This paper presents the application of neural networks for rotor cracks detection. The basic working principles of neural networks are presented. Experimental vibration signals of rotors with and without a propagating crack were used to train the Multi-layer Feed-forward Neural Networks using back-propagation algorithm. The trained neural networks were tested with other set of vibration data. A simple two-layer feed-forward neural network with two neurons in the input layer and one neuron in the output layer trained with the signals of a cracked rotor and a normal rotor without a crack was found to be satisfactory in detecting a propagating crack. Trained three-layer networks were able to detect both the propagating and non-propagating cracks. The FFT of the vibration signals showing variation in amplitude of the harmonics as time progresses are also presented for comparison.
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Han, Xiaoxing, and Edward Brown. "Epi-detected ratio of forward-propagating to back-propagating second harmonic signal." In Frontiers in Optics. Washington, D.C.: OSA, 2010. http://dx.doi.org/10.1364/fio.2010.ftuf4.

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Iijima, Kazuhiro, and Chong Ma. "Second Order Wave Propagating Along VLFS." In ASME 2019 38th International Conference on Ocean, Offshore and Arctic Engineering. American Society of Mechanical Engineers, 2019. http://dx.doi.org/10.1115/omae2019-95132.

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Abstract This paper addresses the nonlinear deflection wave which propagates along a Very Large Floating Structure (VLFS). The whole VLFS is modeled as a one-dimensional beam afloat on the water surface in a vertical two-dimensional plane. It is assumed that the deflection of the wave propagating along the VLFS has a finite amplitude. The nonlinear wave propagating along the VLFS is investigated by extending the propagation theory of the linear wave along the VLFS. The kinetic and kinematic conditions at the boundary surface between the water and VLFS are considered rigorously up to the 2nd order. The 2nd order wave is obtained as a wave associated with the 1st order wave. The characteristics of the nonlinear wave along the VLFS are elucidated by the mathematical solution. The nonlinear wave along the VLFS has characteristics slightly different from the nonlinear free surface wave, known as Stokes wave. The positive peak of the wave along the VLFS is higher than the negative peak due to the nonlinearity in some frequency range while it is the opposite in the other frequency range. The amplitude of the 2nd order wave increases divergently at the frequency range between the two frequency regimes.
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Reports on the topic "Propagating"

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Jumper, Eric J. Propagating Potential Disturbances in Turbomachinery. Fort Belvoir, VA: Defense Technical Information Center, March 2002. http://dx.doi.org/10.21236/ada400117.

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Kleinrock, Martin C., Peter R. Shaw, and Deborah K. Smith. Seafloor Characterization/Galapagos Propagating Rift. Fort Belvoir, VA: Defense Technical Information Center, January 1993. http://dx.doi.org/10.21236/ada272001.

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Stalder, K. R., M. S. Williams, and D. J. Eckstrom. Propagation Diagnostics Measurements. Microwave Diagnostics of the ATA Electron Beam Propagating in Air. Fort Belvoir, VA: Defense Technical Information Center, August 1988. http://dx.doi.org/10.21236/ada207124.

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Meacham, J. E. Ignition requirements for organic-nitrate propagating reactions. Office of Scientific and Technical Information (OSTI), September 1997. http://dx.doi.org/10.2172/325381.

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Menikoff, Ralph. Effect of Resolution on Propagating Detonation Wave. Office of Scientific and Technical Information (OSTI), July 2014. http://dx.doi.org/10.2172/1136940.

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Tsang, Ming Yee. Atomic Interferometry with Detuned Counter-Propagating Electromagnetic Pulses. Office of Scientific and Technical Information (OSTI), September 2014. http://dx.doi.org/10.2172/1169818.

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Chiu, Luna H., Dennis C. Nagle, Daniel J. Snoha, and Kyu Cho. Thermal Analysis of Self-Propagating Reaction Joining Material. Fort Belvoir, VA: Defense Technical Information Center, March 1999. http://dx.doi.org/10.21236/ada361130.

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Richardson, Martin, and Magali Durand. Optical Phase Conjugation by Two Counter Propagating Filament. Fort Belvoir, VA: Defense Technical Information Center, February 2013. http://dx.doi.org/10.21236/ada581672.

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Meacham, J. E., R. J. Cash, and D. R. Dickinson. Assessment of the potential for ferrocyanide propagating reaction accidents. Office of Scientific and Technical Information (OSTI), January 1996. http://dx.doi.org/10.2172/471213.

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Pintgen, F., C. A. Eckett, J. M. Austin, and J. E. Shepherd. Direct Observations of Reaction Zone Structure in Propagating Detonations. Fort Belvoir, VA: Defense Technical Information Center, February 2003. http://dx.doi.org/10.21236/ada539314.

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