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Ordering Scheme (ordering + scheme)

Distribution by Scientific Domains

Medical Sciences	25%

Selected Abstracts

A geomorphological explanation of the unit hydrograph concept

HYDROLOGICAL PROCESSES, Issue 4 2004
C. Cudennec
Abstract The water path from any point of a basin to the outlet through the self-similar river network was considered. This hydraulic path was split into components within the Strahler ordering scheme. For the entire basin, we assumed the probability density functions of the lengths of these components, reduced by the scaling factor, to be independent and isotropic. As with these assumptions, we propose a statistical physics reasoning (similar to Maxwell's reasoning) that considers a hydraulic length symbolic space, built on the self-similar lengths of the components. Theoretical expressions of the probability density functions of the hydraulic length and of the lengths of all the components were derived. These expressions are gamma laws expressed in terms of simple geomorphological parameters. We validated our theory with experimental observations from two French basins, which are different in terms of size and relief. From the comparisons, we discuss the relevance of the assumptions and show how a gamma law structure underlies the river network organization, but under the influence of a strong hierarchy constraint. These geomorphological results have been translated into travel time probability density functions, through the hydraulic linear hypothesis. This translation provides deterministic explanations of some famous a priori assumptions of the unit hydrograph and the geomorphological unit hydrograph theories, such as the gamma law general shape and the exponential distribution of residence time in Strahler states. Copyright © 2004 John Wiley & Sons, Ltd. [source]

TSE with average-specific phase encoding ordering for motion detection and artifact suppression

JOURNAL OF MAGNETIC RESONANCE IMAGING, Issue 6 2007
Ling Zhang ME
Abstract Purpose To detect motion-corrupted measurements in multiaverage turbo-spin-echo (TSE) acquisitions and reduce motion artifacts in reconstructed images. Materials and Methods An average-specific phase encoding (PE) ordering scheme was developed for multiaverage TSE sequences in which each echo train is assigned a unique PE pattern for each preaveraged image (PAI). A motion detection algorithm is developed based on this new PE ordering to identify which echo trains in which PAIs are motion-corrupted. The detected PE views are discarded and replaced by uncorrupted k-space data of the nearest PAI. Both phantom and human studies were performed to investigate the effectiveness of motion artifact reduction using the proposed method. Results Motion-corrupted echo trains were successfully detected in all phantom and human experiments. Significant motion artifact suppression has been achieved for most studies. The residual artifacts in the reconstructed images are mainly caused by residual inconsistencies that remain after the corrupted k-space data is corrected. Conclusion The proposed method combines a novel data acquisition scheme, a robust motion detection algorithm, and a simple motion correction algorithm. It is effective in reducing motion artifacts for images corrupted by either bulk motion or local motion that occasionally happens during data acquisition. J. Magn. Reson. Imaging 2007;25:1271,1282. © 2007 Wiley-Liss, Inc. [source]

Bodensystematik und Bodenklassifikation Teil I: Grundbegriffe

JOURNAL OF PLANT NUTRITION AND SOIL SCIENCE, Issue 1 2005
Christoph Albrecht
Abstract Bodenordnungssysteme lassen sich meist nach zwei Prinzipien entwickeln: Entweder werden nur rein bodenkundliche Informationen als kategorisierendes Merkmal verwendet (pedogenetische Faktoren/Prozesse), oder die Kategorienbildung erfolgt problemorientiert anhand ausgewählter Parameter. Die meisten der weltweit verwendeten Bodenordnungssysteme lassen sich nach ihrer Grundausrichtung einem der beiden Typen zuordnen. Diese Betrachtungsweise ist nicht neu und wird in der Literatur mit unterschiedlichen Begriffen und Begriffsinhalten dargestellt. In der vorliegenden Arbeit werden die verschiedenen Definitionen von Systematik, Klassifikation, Taxonomie und Identifizierung zusammengefasst und geordnet. Dabei fällt auf, dass Begriffe mit sehr unterschiedlichen Inhalten oft synonym verwendet werden. Grundgedanke unserer Überlegungen ist die Trennung von Systematik, Klassifikation und Identifizierung. Systematik ist die grundsätzliche wissenschaftlich-deduktive Gliederung von Objekten in systematische Einheiten. Dabei soll das gesamte Wissen eines Fachgebietes in eine überschaubare Form gebracht werden, im Mittelpunkt stehen sowohl die umfassende Beschreibung einzelner Objekte als auch die Beziehungen zwischen den Objekten. Im Gegensatz dazu ist eine Klassifikation die zielorientiert-induktive Gliederung von Objekten. Die entstehenden Klassen werden nur anhand ausgewählter Parameter abgegrenzt, womit ein schneller Überblick bei speziellen Fragestellungen ermöglicht wird. Die Identifizierung ist die Einordnung von neuen Objekten in eine bestehende Systematik oder Klassifikation. Eine zweifelsfreie Identifizierung erfordert die Messbarkeit der kategorisierenden Merkmale. Bei einer genetisch angelegten Bodensystematik sind die Merkmale die Boden bildenden Prozesse und Faktoren. Da sie beim gegenwärtigen Kenntnisstand oft nicht messbar sind, bleiben Versuche, einen Boden in eine Systematik einzuordnen, häufig hypothetisch und dadurch subjektiv. Die Ergebnisse einer Bodensystematisierung sind daher oft anfechtbar, weil sie nicht durch Messwerte verifiziert werden können. Im Gegensatz dazu erlauben Bodenklassifikationen objektive Profilansprachen. Da jedoch die Festlegung der Grenzwerte eher pragmatisch nach Zweckmäßigkeit geschieht und nicht wissenschaftlich anhand von Prozessintensitäten, ist die Verwendung als grundlegendes Ordnungssystem eines Wissenschaftsgebietes nicht möglich. Die Bodenkunde benötigt beide Arten von Ordnungssystemen, um wissenschaftliche und praktische Ansprüche gleichermaßen erfüllen zu können, jedoch erfordern die Vollendung und Verifizierung der Systematik umfangreiche Forschungsarbeiten. Kurzfristig ist dieses Problem nur durch die Entwicklung einer kennwertbasierten Klassifikation lösbar, mit der die Kategorien der bestehenden Systematik so gut wie möglich nachgebildet werden. Langfristig ist die exakte Erforschung und Modellierung der Boden bildenden Prozesse aber unumgänglich. Soil systematics and classification systems Part I: Fundamentals Soil-ordering systems are primarily based and developed on one of two underlying principles: They are either categorized according to soil-forming processes, or the formation of categories develops by chosen parameters. This perspective has already been established in the literature, though it is often confusing as many terms are defined and applied differently. In this contribution, the various definitions of systematics, classification, taxonomy, and identification will be clearly differentiated and summarized. The core of our work is to clearly define and contrast three terms: systematics, classification, and identification. Systematics is the fundamental scientific and deductive ordering of objects into systematic units. The purpose of this approach is to organize the entire spectrum of knowledge within a discipline into a transparent and manageable form. Classification, in direct contrast to systematics, is goal-oriented and an inductive ordering of objects. Thus, the ordering scheme consists of classes which are clearly parameterized. Identification is the ordering of new objects into an already existing systematics or classification system. Close attention is paid to both the differences and the similarities between a systematics and a classification system, especially pertaining to their practical applications. The identification requires that the category-forming characteristics can be measured (e.g., for soil systematics, these are the soil-forming processes and factors). Currently, it is unfortunately not feasible to objectively quantify most soil-forming processes. Thus, most attempts at categorizing soils by systematics are hypothetical and highly subjective in nature. The resulting identification derived from the soil systematics approach is open to questions and contestable, since a graded measuring system does not yet exist to verify these determinations. In contrast, a soil-classification system does allow an objective soil-profile identification, although such systems are conceived pragmatically and designed for a practical purpose (e.g., not scientifically based on process intensities). Unfortunately, such a classification system cannot be applied as a universal scientific categorization system due to this method of conception. Both categorization approaches are required in soil science in order to satisfy both the practical and the scientific aspects of the field. However, substantial research must be done to complete and verify systematics. The only viable short-term solution is through the development of a graded classification system where the categories of the system are directly derived from the current systematics approach. In the long run both the exact investigation and the detailed modeling of the soil-forming processes are inevitable. [source]

Symmetry rules and strain/order-parameter relationships for coupling between octahedral tilting and cooperative Jahn,Teller transitions in ABX3 perovskites.

ACTA CRYSTALLOGRAPHICA SECTION B, Issue 2 2009

Space groups, order-parameter and strain/order-parameter coupling relationships in ABX3 perovskite structures which combine cooperative Jahn,Teller distortions and octahedral tilting have been investigated from the perspective of group theory using the computer program ISOTROPY. Two common Jahn,Teller ordering schemes are associated with the irreducible representations and of the space group . A third, less-common ordering scheme is associated with . These combine with tilting instabilities associated with and to generate a predicted suite of Jahn,Teller structure types that includes many of the known structures of manganites, vanadates, Cu and Cr halides. Order-parameter coupling and possible phase transitions are described using Landau free-energy expansions, and general expressions for the relationships between symmetry-adapted spontaneous strains and particular order-parameter components are presented. These provide a general formal framework for determining structural evolution across multi-component order-parameter space and for characterizing the influence of tilting instabilities on Jahn,Teller instabilities or of Jahn,Teller ordering on octahedral tilting. [source]

Symmetry rules and strain/order-parameter relationships for coupling between octahedral tilting and cooperative Jahn,Teller transitions in ABX3 perovskites.

ACTA CRYSTALLOGRAPHICA SECTION B, Issue 2 2009

The structural evolution of selected perovskites containing Jahn,Teller cations has been investigated in the light of a formal analysis of symmetry hierarchies for phase transitions driven by octahedral tilting and Jahn,Teller cooperative distortions. General expressions derived from the strain/order-parameter coupling relationships allowed by symmetry are combined with observed changes in lattice parameters to reveal details of order-parameter evolution and coupling. LuVO3, YbVO3, YVO3 and CeVO3 are representative of systems which develop Jahn,Teller ordering schemes associated with irreducible representations and of the space group . Tilting of their octahedra is associated with and . The Pnma ( tilting) ,P21/a ( tilting, Jahn,Teller order) transition below room temperature is close to second order in character. Shear strains which depend primarily on tilt angles show little variation, implying that there is only weak coupling between the tilting and Jahn,Teller order parameters. The subsequent P21/a,Pnma ( tilting, Jahn,Teller order) is first order in character, and involves either a reduction in the tilt angle or a change in the strength of tilt/Jahn,Teller order-parameter coupling. In LaMnO3, the isosymmetric Pnma ( tilting) ,Pnma ( tilting, Jahn,Teller order) transition can be described in terms of a classical first-order transition conforming to a 246 Landau expansion with negative fourth-order coefficients. Strain evolution in Ba-doped samples suggests that the transition becomes second order in character and reveals a new strain relaxation mechanism in LaMnO3 which might be understood in terms of local strain heterogeneities due to the disordering of distorted MnO6 octahedra. Transitions in PrAlO3 and La0.5Ba0.5CoO3 illustrate the transformation behaviour of systems in which the Jahn,Teller ordering scheme is associated with the irreducible representation . Overall, coupled tilting + Jahn,Teller phase transitions in perovskites conform to mean-field behaviour, consistent with the underlying role of strain in promoting long interaction lengths. [source]

View ordering for magnetization prepared steady state free precession acquisition: Application in contrast-enhanced MR angiography

MAGNETIC RESONANCE IN MEDICINE, Issue 3 2004
Pascal Spincemaille
Abstract Magnetization prepared segmented acquisition requires a view order that maximizes signal contrast during the acquisition of the central portion of k -space. Steady state free precession (SSFP) acquisition further requires a view order that minimizes changes in phase-encoding gradients from one repetition to the next in order to minimize eddy current artifacts. In this article, optimal view ordering schemes satisfying these two requirements are formulated and applied to inversion prepared 3D SSFP contrast-enhanced MR angiography (MRA). Experiments on phantoms and pigs demonstrated improved background suppression and reduced image artifacts. Magn Reson Med 52:461,466, 2004. © 2004 Wiley-Liss, Inc. [source]

Symmetry rules and strain/order-parameter relationships for coupling between octahedral tilting and cooperative Jahn,Teller transitions in ABX3 perovskites.