Academic literature on the topic 'Equivalence of G-structures'

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Journal articles on the topic "Equivalence of G-structures"

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Valdés, Antonio. "Differential invariants of ℝ*-structures". Mathematical Proceedings of the Cambridge Philosophical Society 119, № 2 (1996): 341–56. http://dx.doi.org/10.1017/s030500410007420x.

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A differential invariant of a G-structure is a function which depends on the r-jet of the G-structure and such that it is invariant under the natural action of the pseudogroup of diffeomorphisms of the base manifold. The importance of these objects is clear, since they seem to be the natural obstructions for the equivalence of G-structures. Hopefully, if all the differential invariants coincide over two r–jets of G-structure then they are equivalent under the action of the pseudogroup. If all the differential invariants coincide for every r it is hoped that the G-structures are formally equiva
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NEUMANN, WALTER D., and MICHAEL SHAPIRO. "EQUIVALENT AUTOMATIC STRUCTURES AND THEIR BOUNDARIES." International Journal of Algebra and Computation 02, no. 04 (1992): 443–69. http://dx.doi.org/10.1142/s021819679200027x.

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Two (synchronous, asynchronous, or non-deterministic asynchronous) automatic structures on a group G are “equivalent” if their union is a non-deterministic asynchronous automatic structure. We discuss this relation, giving a classification of structures up to equivalence for abelian groups and partial results in some other cases. We also discuss a “boundary” of an asynchronous automatic structure. We show that it is an invariant of the equivalence class of the structure, and describe other properties. We describe a “rehabilitated boundary” which yields Sn−1 for any automatic structure on ℤn.
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Simonetta, Patrick. "Equivalence elementaire et decidabilite pour des structures du type groupe agissant sur un groupe abelien." Journal of Symbolic Logic 63, no. 4 (1998): 1255–85. http://dx.doi.org/10.2307/2586650.

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AbstractWe prove an Ax-Kochen-Ershov like transfer principle for groups acting on groups. The simplest case is the following: let B be a soluble group acting on an abelian group G so that G is a torsion-free divisible module over the group ring ℤ[B], then the theory of B determines the one of the two-sorted structure 〈G,B,*〉, where * is the action of B on C. More generally, we show a similar principle for structures 〈G,B,*〉, where G is a torsion-free divisible module over the quotient of ℤ[B] by the annulator of G.Two applications come immediately from this result:First, for not necessarily co
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TÖRNQUIST, ASGER. "Conjugacy, orbit equivalence and classification of measure-preserving group actions." Ergodic Theory and Dynamical Systems 29, no. 3 (2009): 1033–49. http://dx.doi.org/10.1017/s0143385708080528.

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AbstractWe prove that if G is a countable discrete group with property (T) over an infinite subgroup H≤G which contains an infinite Abelian subgroup or is normal, then G has continuum-many orbit-inequivalent measure-preserving almost-everywhere-free ergodic actions on a standard Borel probability space. Further, we obtain that the measure-preserving almost-everywhere-free ergodic actions of such a G cannot be classified up to orbit equivalence by a reasonable assignment of countable structures as complete invariants. We also obtain a strengthening and a new proof of a non-classification result
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Shikesho, Edward, and Petrus A. Mbenzi. "The treatment of equivalent relations in English-Kwanyama Dictionary." JULACE: Journal of the University of Namibia Language Centre 3, no. 1 (2018): 53–64. http://dx.doi.org/10.32642/julace.v3i1.1375.

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This paper investigates the treatment of equivalent relations in English-Kwanyama Dictionary (EKD) by G. W. R. Tobias and B. H. C Turvey compiled in 1954. For any bilingual dictionary to satisfy the needs of the target users, it should treat the equivalent relations effectively (Gouws, 2002; Gouws & Prinsloo, 2005 & Svensén, 2009). Although EKD was compiled 65 years ago, it seems no comprehensive study has been conducted to evaluate its effectiveness. Hence thispaper is an attempt to evaluate its treatment and the effectiveness of equivalent relations. The paper is couched on the text
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Ishida, Hiroaki. "Complex manifolds with maximal torus actions." Journal für die reine und angewandte Mathematik (Crelles Journal) 2019, no. 751 (2019): 121–84. http://dx.doi.org/10.1515/crelle-2016-0023.

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AbstractIn this paper, we introduce the notion of maximal actions of compact tori on smooth manifolds and study compact connected complex manifolds equipped with maximal actions of compact tori. We give a complete classification of such manifolds, in terms of combinatorial objects, which are triples {(\Delta,\mathfrak{h},G)} of nonsingular complete fan Δ in {\mathfrak{g}}, complex vector subspace {\mathfrak{h}} of {\mathfrak{g}^{\mathbb{C}}} and compact torus G satisfying certain conditions. We also give an equivalence of categories with suitable definitions of morphisms in these families, lik
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Polishchuk, Alexander. "MODULI OF CURVES WITH NONSPECIAL DIVISORS AND RELATIVE MODULI OF -STRUCTURES." Journal of the Institute of Mathematics of Jussieu 18, no. 06 (2017): 1295–329. http://dx.doi.org/10.1017/s1474748017000408.

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In this paper, for each $n\geqslant g\geqslant 0$ we consider the moduli stack $\widetilde{{\mathcal{U}}}_{g,n}^{ns}$ of curves $(C,p_{1},\ldots ,p_{n},v_{1},\ldots ,v_{n})$ of arithmetic genus $g$ with $n$ smooth marked points $p_{i}$ and nonzero tangent vectors $v_{i}$ at them, such that the divisor $p_{1}+\cdots +p_{n}$ is nonspecial (has $h^{1}=0$ ) and ample. With some mild restrictions on the characteristic we show that it is a scheme, affine over the Grassmannian $G(n-g,n)$ . We also construct an isomorphism of $\widetilde{{\mathcal{U}}}_{g,n}^{ns}$ with a certain relative moduli of $A_
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MAGNIN, L. "LEFT INVARIANT COMPLEX STRUCTURES ON NILPOTENT SIMPLY CONNECTED INDECOMPOSABLE 6-DIMENSIONAL REAL LIE GROUPS." International Journal of Algebra and Computation 17, no. 01 (2007): 115–39. http://dx.doi.org/10.1142/s0218196707003512.

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Integrable complex structures on indecomposable 6-dimensional nilpotent real Lie algebras have been computed in a previous paper, along with normal forms for representatives of the various equivalence classes under the action of the automorphism group. Here we go to the connected simply connected Lie group G0 associated to such a Lie algebra 𝔤. For each normal form J of integrable complex structures on 𝔤, we consider the left invariant complex manifold G = (G0, J) associated to G0 and J. We explicitly compute a global holomorphic chart for G and we write down the multiplication in that chart.
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Suri, Ali. "Isomorphism classes for higher order tangent bundles." Advances in Geometry 17, no. 2 (2017): 175–89. http://dx.doi.org/10.1515/advgeom-2017-0001.

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AbstractThe tangent bundle TkM of order k of a smooth Banach manifold M consists of all equivalence classes of curves that agree up to their accelerations of order k. In previous work the author proved that TkM, 1 ≤ k ≤∞, admits a vector bundle structure on M if and only if M is endowed with a linear connection, or equivalently if a connection map on TkM is defined. This bundle structure depends heavily on the choice of the connection. In this paper we ask about the extent to which this vector bundle structure remains isomorphic. To this end we define the k-th order differential Tkg : TkM ⟶ Tk
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De Clercq, Charles. "Équivalence motivique des groupes algébriques semisimples." Compositio Mathematica 153, no. 10 (2017): 2195–213. http://dx.doi.org/10.1112/s0010437x17007369.

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We prove that the standard motives of a semisimple algebraic group$G$with coefficients in a field of order$p$are determined by the upper motives of the group $G$. As a consequence of this result, we obtain a partial version of the motivic rigidity conjecture of special linear groups. The result is then used to construct the higher indexes which characterize the motivic equivalence of semisimple algebraic groups. The criteria of motivic equivalence derived from the expressions of these indexes produce a dictionary between motives, algebraic structures and the birational geometry of twisted flag
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Dissertations / Theses on the topic "Equivalence of G-structures"

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Duarte, Gustavo Ignácio. "Integrabilidade de G-Estruturas." Universidade de São Paulo, 2018. http://www.teses.usp.br/teses/disponiveis/45/45131/tde-05072018-111337/.

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Esta dissertação tem como objetivo discutir sob quais condições uma G- estrutura é integrável. Primeiro apresentam-se fibrados principais, vetoriais e outras estruturas a elas associados como torção, espaços verticais, espaços horizontais e conexões. Depois apresentam-se a definição de G-estrutura, de integrabilidade de G-estruturas, com exemplos e as respectivas versões de integrabilidade e equivalência de G-estruturas. Finalmente, são descritas condições mais gerais que garantem a integrabilidade de G-estruturas.<br>This dissertation aims to discuss what are the conditions for the inte- grab
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Pocchiola, Samuel. "Le problème d’équivalence pour les variétés de Cauchy-Riemann en dimension 5." Thesis, Paris 11, 2014. http://www.theses.fr/2014PA112340/document.

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Ce mémoire est une contribution à la résolution du problème d'équivalence pour les variétés de Cauchy-Riemann en dimension inférieure ou égale à 5. On traite d'abord du cas des variétés CR de dimension 5, qui sont 2-nondégénérées et de rang de Levi constant égal à 1. Pour une telle variété, on obtient deux invariants, J et W, dont l'annulation simultanée caractérise l'équivalence locale à une variété modèle, le tube au-dessus du cône de lumière. Si l'un des deux invariants ne s'annule pas, on construit un parallélisme absolu, i.e. on montre que le problème d'équivalence se réduit à un problème
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Books on the topic "Equivalence of G-structures"

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Birch, Jonathan. Kin Selection and Group Selection. Oxford University Press, 2017. http://dx.doi.org/10.1093/oso/9780198733058.003.0004.

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In group-structured populations in which some other assumptions are satisfied, kin and group selectionist methods provide formally equivalent conditions for change. However, this only shows an equivalence between two statistical methodologies, and this is compatible with there being a real, causal distinction between kin and group selection processes. This chapter pursues a Hamilton-inspired, population-centred approach to drawing that distinction, on which the differences between kin and group selection are differences of degree in the structural properties of populations. The relevant proper
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Book chapters on the topic "Equivalence of G-structures"

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Yang, Kichoon. "Higher Order G-structures." In Exterior Differential Systems and Equivalence Problems. Springer Netherlands, 1992. http://dx.doi.org/10.1007/978-94-015-8068-7_6.

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Yang, Kichoon. "Embeddings of G-structures." In Exterior Differential Systems and Equivalence Problems. Springer Netherlands, 1992. http://dx.doi.org/10.1007/978-94-015-8068-7_7.

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de la Ossa, Xenia, Magdalena Larfors, and Eirik E. Svanes. "Restrictions of Heterotic G2 Structures and Instanton Connections." In Geometry and Physics: Volume II. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198802020.003.0020.

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This chapter revisits recent results regarding the geometry and moduli of solutions of the heterotic string on manifolds Y with a G <sub>2</sub> structure. In particular, such heterotic G <sub>2</sub> systems can be rephrased in terms of a differential Ď acting on a complex Ωˇ∗(Y,Q), where Ωˇ=T∗Y⊕End(TY)⊕End(V), and Ď is an appropriate projection of an exterior covariant derivative D which satisfies an instanton condition. The infinitesimal moduli are further parametrized by the first cohomology HDˇ1(Y,Q). The chapter proceeds to restrict this system to manifolds X with an SU(3) structure corresponding to supersymmetric compactifications to four-dimensional Minkowski space, often referred to as Strominger–Hull solutions. In doing so, the chapter derives a new result: the Strominger–Hull system is equivalent to a particular holomorphic Yang–Mills covariant derivative on Q|X=T∗X⊕End(TX)⊕End(V).
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Gray, John S., and Michael Elliott. "Functional diversity of benthic assemblages." In Ecology of Marine Sediments. Oxford University Press, 2009. http://dx.doi.org/10.1093/oso/9780198569015.003.0009.

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Now that we have discussed how assemblages of marine soft sediments are structured, we need to consider functional aspects. There are a few main interrelationships that need to be discussed here— inter- and intraspecific competition, feeding and predator–prey interactions, the production of biomass, and the production and delivery of recruiting stages. Other functional aspects, such as the effects of pathogens and parasites and the benefits of association (mutualism, parasitism, symbiosis, etc.) are of less importance in the present discussion. By function we mean the rate processes (i.e. those involving time) that either affect (extrinsic processes) or are inside (intrinsic processes and responses) the organisms that live in sediments. Hence these include primary and secondary production and processes that are mitigated by the organisms that live in sediments, such as nutrient and contaminant fluxes into and out of the sediment. We begin with the historical development of the field since such aspects are often overlooked in these days of electronic searches for references. Functional studies of ecosystems really began with Lindeman´s classic paper (1942) on trophic dynamics. Rather than regarding food merely as particulate matter, Lindeman expressed it in terms of the energy it contained, thereby enabling comparisons to be made between different systems. For example, 1 g of the bivalve Ensis is not equivalent in food value to 1 g of the planktonic copepod Calanus, so the two animals cannot be compared in terms of weight, but they can be compared in terms of the energy units that each gram dry weight contains. The energy unit originally used was the calorie, but this has now been superseded by the joule (J), 1 calorie being equivalent to 4.2 joules. Ensis contains 14 654 J g-1 dry wt and Calanus 30 982 J g-1 dry wt. The basic trophic system is well understood and can be summarized as we showed earlier in Fig. I.8 which gives the links between various trophic levels and the role of competition, organic matter transport, and resource partitioning. In systems fuelled by photosynthesis (so excluding the chemosynthetic deep-sea vent systems), the primary source of energy for any community is sunlight, which is fixed and stored in plant material, which thus constitutes the first trophic level in the ecosystem.
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Sydorenko, Yuliia. "TERMS AS UNITS OF TRANSLATION." In European vector of development of the modern scientific researches. Publishing House “Baltija Publishing”, 2021. http://dx.doi.org/10.30525/978-9934-26-077-3-19.

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The purpose of the paper is to determine the features of the translation of technical terms from English into Ukrainian. A term is a word or phrase that expresses a clearly defined concept in a particular field of science, technology, art, socio-political life, and so on. Scientific and technical terminology is a wide layer of vocabulary that develops intensively and actively interacts with other layers of the vocabulary of the language, primarily with common vocabulary. Unlike commonly used words, terms are usually unambiguous, they are not characterized by expression. Some terms have lost a purely special character and are widely used in various parts of speech, while others retain a narrowly specialized use. Peculiarities of terms, as well as their translation into Ukrainian were studied by such linguists as G. Bezhenar, I. Beloded, I.Volkova, M.Volodina, B.Golovin, V.Danylenko, А. Dyakov, T Kiyak, R. Korobin, D Lotte, A. Naumenko, O. Oguy, E. Pirikov and others. Terms, as specific lexical units of language, are characterized by such features as accuracy, unambiguity, systematicity, objectivity and motivation. Translation of complex terms consists of two main procedures - analytical and synthetic. An important role in the translation of phrases is played by the analytical stage - the translation of its individual components. And for this it is necessary to correctly define the components of a complex term, because they can be not only words but also phrases that are part of a complex term. The main means of translating terms-phrases are descriptive method, transcription and tracing. The most difficult to translate are terms that have different meanings not only in different fields of science and technology, but even in one field. The main problem of translation of terms and terms-phrases is their ambiguity not only among different branches of science, but also within the technical field itself. Terms are units of language and professional knowledge that ensure the effectiveness of intercultural communication. For this reason, the greatest practical significance in the translation of scientific and technical texts is the equivalent translation of terminology. Differences in the lexical structure and morphosyntactic structure of terms have objective linguistic reasons: English terms, the structure of which includes a substantive defining component (noun or noun group), cannot be translated into Ukrainian without differences in morphosyntactic structure due to differences in the grammatical structure of languages.
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Conference papers on the topic "Equivalence of G-structures"

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Wang, Yuhui, and Jialing Le. "HIGH-SPEED IMAGING FOR AN OPTICALLY ACCESSIBLE ROTATING DETONATION ENGINE." In 8TH INTERNATIONAL SYMPOSIUM ON NONEQUILIBRIUM PROCESSES, PLASMA, COMBUSTION, AND ATMOSPHERIC PHENOMENA. TORUS PRESS, 2020. http://dx.doi.org/10.30826/nepcap2018-2-25.

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Nonpremixed rotating detonation waves (RDWs) for ethylene or hydrogen and air sources at room temperatures 283-284 K were obtained in the same hollow combustor. The combustor was optically accessible by embedded a piece of quartz glass in the combustor wall. The hollow combustor channel here had an outer diameter 100 mm. Fuel and air were injected into the combustor from 150 cylindrical orifices of a diameter 0.8 mm axially and a circular channel with a width 1 mm radially, respectively. The detonation speeds for ethylene and air were 1562 or 1389 m/s for the air flow rate 642.35 g/s at an equ
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Gordillo, Gerardo, and Kalyan Annamalai. "Char and Tar Production From Dairy Biomass Gasification Using Air-Steam for Partial Oxidation." In ASME/JSME 2011 8th Thermal Engineering Joint Conference. ASMEDC, 2011. http://dx.doi.org/10.1115/ajtec2011-44338.

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The increase in air pollution caused by combustion of fossil fuels demands the exploration of renewable energy sources in order to mitigate the dependence on fossil fuels. Research includes the efforts to partially replace fossil fuels with renewable energy-sources in thermal conversion processes in order to reduce the emission of CO2. The animal wastes can be considered as biomass fuels since their properties are almost similar to ration fed to animals. Concentrated animal feeding operations (CAFOs) such as cattle feedlots and dairies produce a large amount of feedlot manure or feedlot biomas
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James, P. M., D. G. Hooton, C. J. Madew, J. K. Sharples, and M. Jackson. "Extension of the Simplified Method for the Interaction of Primary and Secondary Stresses." In ASME 2009 Pressure Vessels and Piping Conference. ASMEDC, 2009. http://dx.doi.org/10.1115/pvp2009-77367.

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The R6 defect assessment procedure, used commonly in the UK nuclear industry to assess the significance of defects in structures, uses the Failure Assessment Diagram to evaluate limiting parameters whilst accounting for the effects of plasticity. The interaction of primary and secondary stress is accounted for within R6 through the use of the ρ, or an equivalent V, term. Previous work has developed an alternate method to that in R6 and has been termed the “Simplified Method”. This Simplified Method has the benefit of being less conservative than the current R6 method and of not requiring ρ (or
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Liao, G. Y., S. Geier, T. Mahrholz, P. Wierach, and M. Wiedemann. "Temperature Influence on Electrical Properties of Carbon Nanotubes Modified Solid Electrolyte-Based Structural Supercapacitor." In ASME 2017 Conference on Smart Materials, Adaptive Structures and Intelligent Systems. American Society of Mechanical Engineers, 2017. http://dx.doi.org/10.1115/smasis2017-3908.

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In the present work, we report on structural supercapacitors which are based on NASICON-type solid electrolyte Li1.4Al0.4Ti1.6(PO4)3 (LATP). The nanostructured electrodes incorporate single-wall carbon nanotubes (SWCNTs) mixed with the LATP electrolyte. The complete energy storage devices are manufactured in a sandwich structure consisting of two nanostructured electrode layers which are separated by a pure LATP layer. The as-prepared specimens are embedded in composite materials with Airstone 880/886H epoxy resin as matrix. Their electrical properties are characterized by electrochemical impe
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Altman, David H., Anurag Gupta, Thomas E. Dubrowski, Darin J. Sharar, Nicholas R. Jankowski, and Mark T. North. "Analysis and Characterization of Thermal Expansion-Matched Wick-Based Multi-Chip Passive Heat Spreaders in Static and Dynamic Environments." In ASME 2013 International Technical Conference and Exhibition on Packaging and Integration of Electronic and Photonic Microsystems. American Society of Mechanical Engineers, 2013. http://dx.doi.org/10.1115/ipack2013-73087.

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Ensuring adequate spreading of heat dissipated by high power density devices is a critical part of many electronics packaging designs. In many cases, passive wick-based heat spreaders can offer improved heat spreading performance relative to solid conductor alternatives. However, concerns related to performance degradation in high-inertial force environments frequently limit their use to static or near-static applications. In this work we investigate the performance of low coefficient of thermal expansion (CTE) wick-based heat spreaders cooling multiple high heat flux devices in static and hig
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Ishikawa, Nobuyuki, Hitoshi Sueyoshi, and Satoshi Igi. "Application of Damage Mechanics Modeling to Strain Based Design With Respect to Ductile Crack Initiation." In 2010 8th International Pipeline Conference. ASMEDC, 2010. http://dx.doi.org/10.1115/ipc2010-31506.

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Limit state condition in the tensile failure for the strain based-design (SBD) currently considering is the point of maximum load which is evaluated by curved wide plate (CWP) testing or full scale pipe tensile testing. Maximum loading point is understood as the onset of instability of the structure. However, the material behavior controlling structural instability is not well understood since it includes many aspects of material response such as local strain concentration, ductile crack initiation and stable crack growth. In order to clearly specify the material property suitable for SBD, it
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Oide, Shunsaku, Masanao Iwakura, Mai Takaoka, Shunsuke Kasuga, and Shigeru Hayashi. "Low-NOx Combustion of Fuel Spray-Air Mixtures From a Converging Splitter in a Co-Swirling Annular Air Flow." In ASME Turbo Expo 2017: Turbomachinery Technical Conference and Exposition. American Society of Mechanical Engineers, 2017. http://dx.doi.org/10.1115/gt2017-65205.

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A unique burner consisting of a pressure swirl atomizer, a converging outer shroud, a coaxially assembled converging splitter, and coaxial swirlers at the inlets of the inner and outer circuits is being developed for low-NOx emissions (below 0.5 g/kg-fuel) at the higher inlet air temperatures and better flame stability at the lower inlet air temperatures. Liquid fuel is atomized only into the air flowing in the inner circuit and the resulting mixture jet is injected into the combustion chamber from the exit of the splitter, surrounded by the annular swirling air jet from the outer circuit. Emi
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Blunck, David, Dale Shouse, Craig Neuroth, et al. "Experimental and Computational Studies of an Ultra-Compact Combustor." In ASME Turbo Expo 2013: Turbine Technical Conference and Exposition. American Society of Mechanical Engineers, 2013. http://dx.doi.org/10.1115/gt2013-94372.

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Reducing the weight and decreasing pressure losses of aviation gas turbine engines improves the thrust-to-weight ratio and improves efficiency. In ultra-compact combustors (UCCs), engine length is reduced and pressure losses are decreased by merging a combustor with adjacent components using a systems engineering approach. High-pressure turbine inlet vanes can be placed in a combustor to form a UCC. Eliminating the compressor outlet guide vanes (OGVs) and maintaining swirl through the diffuser can result in further reduction in engine length and weight. Cycle analysis indicates that a 2.4% imp
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Wike, Andrew, Randall A. Hall, Rex Miller, and Rebecca L. Hays. "The Use of Simulators to Comply With Legislated Pipeline Controller Proficiency Testing." In 2002 4th International Pipeline Conference. ASMEDC, 2002. http://dx.doi.org/10.1115/ipc2002-27104.

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In the United States, recent legislation has dictated that by October 2002, all personnel that perform tasks that can affect the safety and integrity of pipeline operations (“covered tasks”) must have demonstrated that they are “qualified” to perform those tasks. Around the world, governments are considering passing equivalent legislation to require control room staff (and other operations personnel) to demonstrate their proficiency. The U.S. Department of Transportation has instituted the “Operator Qualification” rule in 49CFR Part 192 Subpart N (natural gas), and Part 195 Subpart G (hazardou
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Maggioni, Bruno, Francesca Giliberti, and Emanuele Panunzio. "Integrating Sustainability into Material Management Practices." In SPE Annual Technical Conference and Exhibition. SPE, 2021. http://dx.doi.org/10.2118/206056-ms.

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Abstract Modern Society followed, and it is still largely following, a linear process for natural resources utilization: raw material extraction, goods manufacturing, use/consumption, waste generation. Such a model is proven to be not sustainable because it cannot go forever considering the limited quantity of available resources on Earth but also because of waste and process by-product management. A multitude of diverse initiatives to change this process started at different levels and within several industries in the last years including the O&amp;G sector. Most of these initiatives share th
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