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Academic literature on the topic 'Translation operator'

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Published: 9 March 2023
Last updated: 11 March 2023

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Journal articles on the topic "Translation operator"

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Dales, H. G., and A. Millinoton. "Translation-invariant linear operators." Mathematical Proceedings of the Cambridge Philosophical Society 113, no. 1 (January 1993): 161–72. http://dx.doi.org/10.1017/s030500410007585x.

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The theory of translation-invariant operators on various spaces of functions (or measures or distributions) is a well-trodden field. The problem is to decide, first, whether or not a linear operator between two function spaces on, say, ℝ or ℝ+ which commutes with one or many translations on the two spaces is necessarily continuous, and, second, to give a canonical form for all such continuous operators. In some cases each such operator is zero. The second problem is essentially the ‘multiplier problem’, and it has been extensively discussed; see [7], for example.
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Blasco, O., A. Bonilla, and K. G. Grosse-Erdmann. "Rate of growth of frequently hypercyclic functions." Proceedings of the Edinburgh Mathematical Society 53, no. 1 (January 12, 2010): 39–59. http://dx.doi.org/10.1017/s0013091508000564.

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AbstractWe study the rate of growth of entire functions that are frequently hypercyclic for the differentiation operator or the translation operator. Moreover, we prove the existence of frequently hypercyclic harmonic functions for the translation operator and we study the rate of growth of harmonic functions that are frequently hypercyclic for partial differentiation operators.
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MAIER, FREDERICK. "Interdefinability of defeasible logic and logic programming under the well-founded semantics." Theory and Practice of Logic Programming 13, no. 1 (August 9, 2011): 107–42. http://dx.doi.org/10.1017/s147106841100041x.

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AbstractWe provide a method of translating theories of Nute's defeasible logic into logic programs, and a corresponding translation in the opposite direction. Under certain natural restrictions, the conclusions of defeasible theories under the ambiguity propagating defeasible logic ADL correspond to those of the well-founded semantics for normal logic programs, and so it turns out that the two formalisms are closely related. Using the same translation of logic programs into defeasible theories, the semantics for the ambiguity blocking defeasible logic NDL can be seen as indirectly providing an ambiguity blocking semantics for logic programs. We also provide antimonotone operators for both ADL and NDL, each based on the Gelfond–Lifschitz (GL) operator for logic programs. For defeasible theories without defeaters or priorities on rules, the operator for ADL corresponds to the GL operator and so can be seen as partially capturing the consequences according to ADL. Similarly, the operator for NDL captures the consequences according to NDL, though in this case no restrictions on theories apply. Both operators can be used to define stable model semantics for defeasible theories.
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Miškinis, Paulius. "ON INTEGRAL REPRESENTATION OF THETRANSLATION OPERATOR." Mathematical Modelling and Analysis 17, no. 1 (February 1, 2012): 100–112. http://dx.doi.org/10.3846/13926292.2012.645251.

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The formulation in the explicit form of quantum expression of the one-dimensional translation operator as well as Hermitian operator of momentum and its eigenfunctions are presented. The interrelation between the momentum and the wave number has been generalized for the processes with a non-integer dimensionality α. The proof of the fractional representation of the translation operator is considered. Some aspects of the translations in graduate spaces and their integral representation, as well as applications in physics are discussed. The integral representation of the translation operator is proposed.
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Robicheaux, F. "Energy translation operator." Physical Review A 56, no. 5 (November 1, 1997): 4296–99. http://dx.doi.org/10.1103/physreva.56.4296.

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LEVENE, R. H., and S. C. POWER. "REFLEXIVITY OF THE TRANSLATION-DILATION ALGEBRAS ON L2(ℝ)." International Journal of Mathematics 14, no. 10 (December 2003): 1081–90. http://dx.doi.org/10.1142/s0129167x03002125.

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The hyperbolic algebra [Formula: see text], studied recently by Katavolos and Power [5], is the weak star closed operator algebra on L2(ℝ) generated by H∞(ℝ), as multiplication operators, and by the dilation operators Vt, t≥0, given by Vtf(x)=et/2f(etx). We show that [Formula: see text] is a reflexive operator algebra and that the four-dimensional manifold [Formula: see text] (with the natural topology) is the reflexive hull of a natural two-dimensional subspace.
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Shishkina, E. L. "General Euler-Poisson-Darboux Equation and Hyperbolic B-Potentials." Contemporary Mathematics. Fundamental Directions 65, no. 2 (December 15, 2019): 157–338. http://dx.doi.org/10.22363/2413-3639-2019-65-2-157-338.

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In this work, we develop the theory of hyperbolic equations with Bessel operators. We construct and invert hyperbolic potentials generated by multidimensional generalized translation. Chapter 1 contains necessary notation, definitions, auxiliary facts and results. In Chapter 2, we study some generalized weight functions related to a quadratic form. These functions are used below to construct fractional powers of hyperbolic operators and solutions of hyperbolic equations with Bessel operators. Chapter 3 is devoted to hyperbolic potentials generated by multidimensional generalized translation. These potentials express negative real powers of the singular wave operator, i. e. the wave operator where the Bessel operator acts instead of second derivatives. The boundedness of such an operator and its properties are investigated and the inverse operator is constructed. The hyperbolic Riesz B-potential is studied as well in this chapter. In Chapter 4, we consider various methods of solution of the Euler-Poisson-Darboux equation. We obtain solutions of the Cauchy problems for homogeneous and nonhomogeneous equations of this type. In Conclusion, we discuss general methods of solution for problems with arbitrary singular operators.
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Fishel, B. "Generalized translations associated with an unbounded self-adjoint operator." Mathematical Proceedings of the Cambridge Philosophical Society 99, no. 3 (May 1986): 519–28. http://dx.doi.org/10.1017/s030500410006446x.

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Delsarte [2], Povzner [9], Levitan [8], Leblanc [7], Dunford and Schwartz [3] (p. 1626) and Hutson and Pym [5] have discussed generalized translation operators (GTO) ‘associating with a differential operator’. The latter authors have also considered the topic in an abstract setting-the GTO ‘associates’ with a compact operator in a normed space. GTO are to have properties generalizing those of the translation operators defined by members of a group on a vector space E of functions defined on the group:(πεE, s and t are group elements). In the case of a locally compact topological group the integration spaces E = L1,L2,L∞, for a Haar measure of the group, are of especial interest.
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Mochow-Grundy, Michelle, and Terence S. Dermody. "The Reovirus S4 Gene 3′ Nontranslated Region Contains a Translational Operator Sequence." Journal of Virology 75, no. 14 (July 15, 2001): 6517–26. http://dx.doi.org/10.1128/jvi.75.14.6517-6526.2001.

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ABSTRACT Reovirus mRNAs are efficiently translated within host cells despite the absence of 3′ polyadenylated tails. The 3′ nontranslated regions (3′NTRs) of reovirus mRNAs contain sequences that exhibit a high degree of gene-segment-specific conservation. To determine whether the 3′NTRs of reovirus mRNAs serve to facilitate efficient translation of viral transcripts, we used T7 RNA polymerase to express constructs engineered with full-length S4 gene cDNA or truncation mutants lacking sequences in the 3′NTR. Full-length and truncated s4 mRNAs were translated using rabbit reticulocyte lysates, and translation product ς3 was quantitated by phosphorimager analysis. In comparison to full-length s4 mRNA, translation of the s4 mRNA lacking the 3′NTR resulted in a 20 to 50% decrease in ς3 produced. Addition to translation reactions of an RNA oligonucleotide corresponding to the S4 3′NTR significantly enhanced translation of full-length s4 mRNA but had no effect on s4 mRNA lacking 3′NTR sequences. Translation of s4 mRNAs with smaller deletions within the 3′NTR identified a discrete region capable of translational enhancement and a second region capable of translational repression. Differences in translational efficiency of full-length and deletion-mutant mRNAs were independent of RNA stability. Protein complexes in reticulocyte lysates that specifically interact with the S4 3′NTR were identified by RNA mobility shift assays. RNA oligonucleotides lacking either enhancer or repressor sequences did not efficiently compete the binding of these complexes to full-length 3′NTR. These results indicate that the reovirus S4 gene 3′NTR contains a translational operator sequence that serves to regulate translational efficiency of the s4 mRNA. Moreover, these findings suggest that cellular proteins interact with reovirus 3′NTR sequences to regulate translation of the nonpolyadenylated reovirus mRNAs.
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Prasad, Akhilesh, and U. K. Mandal. "The Kontorovich-Lebedev-Clifford transform." Filomat 35, no. 14 (2021): 4811–24. http://dx.doi.org/10.2298/fil2114811p.

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The Kontorovich-Lebedev-Clifford transform (KLC-transform) as well as its inversion are defined. The useful preliminary results like translation and convolution operators are introduced and their estimates are obtained. Continuity of translation and convolution operators on function spaces F? and G? are discussed. Further, pseudo-differential operator (p.d.o.) associated with the KLC-transform is defined and studied its properties on some function spaces.
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Dissertations / Theses on the topic "Translation operator"

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BELLAVITA, CARLO. "FUNCTIONAL PROPERTIES OF P-DE BRANGES SPACES." Doctoral thesis, Università degli Studi di Milano, 2022. http://hdl.handle.net/2434/924712.

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This Ph.D. final dissertation studies some analytical properties of the p-de Branges spaces, Hp(E), made up of entire functions and extensively studied in the last thirty years. Besides the first two chapters, where I recall the main properties of the p-de Branges spaces, the rest of the thesis gathers my research work: in the second part, Boundedness of operators, I look for some necessary and sufficient conditions for the boundedness of the translation operators in H2(E) and subsequently for the continuity of the embedding operator ιp,q from Hp(E) into Hq(E). In the third part, Duality results, I characterize the dual of some 1-de Branges spaces. Firstly, I describe the dual of the 1-Bernstein spaces and then I extend the reasonings to some others 1-de Branges spaces.
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Barrachina, Civera Xavier. "Distributional chaos of C0-semigroups of operators." Doctoral thesis, Universitat Politècnica de València, 2013. http://hdl.handle.net/10251/28241.

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El caos distribucional fue introducido por Schweizer y Smítal en [SS94] a partir de la noción de caos de Li-Yorke con el fín de implicar la entropía topológica positiva para aplicaciones del intervalo compacto en sí mismo. El caos distribucional para operadores fue estudiado por primera vez en [Opr06] y fue analizado en el contexto lineal de dimensión infinita en [MGOP09]. El concepto de caos distribucional para un operador (semigrupo) consiste en la existencia de un conjunto no numerable y un numero real positivo ¿ tal que para dos elementos distintos cualesquiera del conjunto no numerable, tanto la densidad superior del conjunto de iteraciones (tiempos) en las cuales la diferencia entre las órbitas de dichos elementos es mayor que ¿, como la densidad superior del conjunto de iteraciones (tiempos) en las cuales dicha diferencia es tan pequeña como se quiera, es igual a uno. Esta tesis est'a dividida en seis capítulos. En el primero, hacemos un resumen del estado actual de la teoría de la din'amica caótica para C0-semigrupos de operadores lineales. En el segundo capítulo, mostramos la equivalencia entre el caos distribucional de un C0-semigrupo y el caos distribucional de cada uno de sus operadores no triviales. Tambi'en caracterizamos el caos distribucional de un C0-semigrupo en t'erminos de la existencia de un vector distribucionalmente irregular. La noción de hiperciclicidad de un operador (semigrupo) consiste en la existencia de un elemento cuya órbita por el operador (semigrupo) sea densa. Si adem'as el conjunto de puntos periódicos es denso, diremos que el operador (semigrupo) es caótico en el sentido de Devaney. Una de las herramientas mas útiles para comprobar si un operador es hipercíclico es el Criterio de Hiperciclicidad, enunciado inicialmente por Kitai en 1982. En [BBMGP11], Bermúdez, Bonilla, Martínez-Gim'enez y Peris presentan elCriterio para Caos Distribucional (CDC en ingl'es) para operadores. Enunciamos y probamos una versión del CDC para C0-semigrupos. En el contexto de C0-semigrupos, Desch, Schappacher y Webb tambi'en estudiaron en [DSW97] la hiperciclicidad y el caos de Devaney para C0-semigrupos, dando un criterio para caos de Devaney basado en el espectro del generador in¿nitesimal del C0- semigrupo. En el tercer capítulo, establecemos un criterio de existencia de una variedad distribucionalmente irregular densa (DDIM en sus siglas en ingl'es) en t'erminos del espectro del generador in¿nitesimal del C0-semigrupo. En el Capítulo 4, se dan algunas condiciones su¿cientes para que el C0-semigrupo de traslación en espacios L p ponderados sea distribucionalmente caótico en función de la función peso admisible. Ademas, establecemos una analogía completa entre el estudio del caos distribucional para el C0-semigrupo de traslación y para los operadores de desplazamiento hacia atras o ¿backward shifts¿ en espacios ponderados de sucesiones. El capítulo quinto está dedicado al estudio de la existencia de C0-semigrupos para los cuales todo vector no nulo es un vector distribucionalmente irregular. Tambi'en damos un ejemplo de uno de dichos C0-semigrupos que además no es hipercíclico. En el Capítulo 6, el criterio DDIM se aplica a varios ejemplos de C0-semigrupos. Algunos de ellos siendo los semigrupos de solución de ecuaciones en derivadas parciales, como la ecuación hiperbólica de transferencia de calor o la ecuación de von Foerster-Lasota y otros son la solución de un sistema in¿nito de ecuaciones diferenciales ordinarias usado para modelizar la dinámica de una población de c'elulas bajo proliferación y maduración simultáneas.
Barrachina Civera, X. (2013). Distributional chaos of C0-semigroups of operators [Tesis doctoral no publicada]. Universitat Politècnica de València. https://doi.org/10.4995/Thesis/10251/28241
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Rosenberger, Elke. "Asymptotic spectral analysis and tunnelling for a class of difference operators." Phd thesis, [S.l.] : [s.n.], 2006. http://deposit.ddb.de/cgi-bin/dokserv?idn=98050368X.

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Millington, Andrew. "Linear operators which commute with translation." Thesis, University of Leeds, 1991. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.304910.

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Westwood, Jonathan James. "Experimental and modelling investigation of the dynamics of an RNA translational operator." Thesis, University of Leeds, 2010. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.551472.

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This work focuses on the replicase translational operator (TR) stem loop of the RNA MS2 bacteriophage. Single stranded RNA (ss RNA) viruses are important organisms as they represent pathogenic species in all walks of life including a number of clinically important species such as HIV, Marburg Virus and Ebola. MS2 provides a great model system in which to study regulatory pathways affected by RNA folds due to the extensive biochemical and structural data available. In MS2 the TR stem loop acts as an allosteric switch, via a sequence specific recognition event involving the phage coat protein. Binding of the coat protein dimer to TR signals a switch in the life cycle of the phage from replication to assembly and release. Binding of the coat protein dimer leads to translational repression the viral replicase cistron and also leads to an allosteric conformational change in the protein. TR also contains the AUG start codon for replicase gene and thus is involved in the regulatory pathway of the cistron. Thus any insight to how the folds in the RNA effect binding or translational repression are important for understanding the MS2 virus and other ssRNA viruses like it. The folding ensembles present in solution for a series of RNA oligonucleotides that encompass TR have been examined. Single molecule fluorescence assays suggest that these RNAs exist in solution as differentially base paired/stacked states at equilibrium. What emerges from the experimental is data consistent with an unfolding mechanism in which interruptions to the A- form duplex such as the single stranded loop, the free ends and bulged base of TR, act as nucleation points of unfolding. Additionally substitution of a uracil to a cytosine in the loop causes heterogeneity in the folded and unfolded ensembles relative to the wild-type molecule. This data is used to study folding of the RNAs by 'steered' molecular dynamics (MD) simulations. These show remarkable agreement with experimental data and provide atomistic detail on the molecular interactions which take place during the unfolding pathways studied. The adopted conformers for each simulation provide details about hydrogen bonding between the base pairs of the stem and confirm predicted conformers from apparent dye separation in FRET experiments.
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Wang, Hing Suen Teresa. "An ethnohistoric investigation of the operation and function of translation in the dissemination of Chinese Xiqu in the US : a study of three encounters." HKBU Institutional Repository, 2020. https://repository.hkbu.edu.hk/etd_oa/884.

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In this study, the role of translation in the introduction of Chinese xiqu into the United States is examined using an anthropological approach. This study identifies three encounters that exemplify the three critical stages of acceptance of xiqu in the United States, and examines how translation operates and functions as a tool of cultural mediation in the introduction and promotion of xiqu there. The three critical encounters this study identifies are: the 19th century performance tours of Cantonese opera in San Francisco, the 1930s tour of Mei Lan-fang to the U.S., and the 2006 tour of Kenneth Pai's production of the Young Lover's Edition of the Peony Pavilion to the U.S. An ethnohistoric approach is adopted to reconstruct the contexts of the translators' decision-making with the purpose of highlighting the human factor in the process. Translations, first-hand paratextual materials and data collected in interviews facilitate the triangulation of analysis and verification. The result offers a critical understanding of translation in a cultural dissemination process by analyzing xiqu with an emphasis on the human factor.
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Choi, Mi-Kyung. "La cotraduction : domaine littéraire coréen-français." Thesis, Paris 3, 2014. http://www.theses.fr/2014PA030025/document.

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Nous nous sommes donné pour objectif d'étudier les questions posées par la traduction littéraire en B à partir du coréen effectuée en binôme par un traducteur coréen et un cotraducteur spécialiste de la langue d'arrivée, et d'en préciser les conditions de réussite.En matière littéraire du coréen vers le français, ce couplage vise à pallier l'absence de traducteurs français capables de travailler seuls.L'opération traduisante étant effectuée par des traducteurs coréens travaillant en B, l'exigence formelle de la traduction littéraire implique l'intervention d'un réviseur français.De plus en plus d'œuvres coréennes sont traduites selon cette modalité et publiées en France. Nous avons analysé les différentes étapes du processus, de la compréhension à la réexpression, à la lumière e la théorie interprétative de la traduction en tentant de montrer pourquoi le concept clé de la déverbalisation légitime la cotraduction, l'activité traduisante étant une opération de texte à texte, non de langue à langue. La première partie de notre recherche est consacrée à l'étude du cadre théorique (définition des notions auxquelles nous recourons, description de la théorie interprétative) et pratique (aperçu de l'état présent de la traduction française des textes littéraires coréens). Dans la deuxième partie, nous avons analysé des exemples de traduction en montrant le cheminement des échanges entre le traducteur et le cotraducteur, et en précisant la nature du guidage donné par le premier au second ainsi que la nature de la contribution de ce dernier. Nous aboutissons à la conclusion qu'une pratique souvent considérée seulement comme un pis-aller peut prétendre à produire des textes d'une réelle qualité littéraire dès lors que la technique mise en œuvre respecte les conditions que nous tentons de définir ici
Our aim was to study the issue of literary translation when it is carried into the B language of the translator (here from Korean to French) with the assistance of a co-translator native speaker of the target language and to point out the conditions of success. In the field of literary translation from Korean into French, this kind of team-work aims at overcoming the lack of French translators able to produce literary standard translations by themselves. When the translation is done by a Korean translator working into his B language, a thorough work of editing and rewriting is required due to the formal requirements of literary writing. An increasing number of Korean novels and short stories are translated by such a dual team and published in France.We analyze the different steps of the process of translation, from understanding to reformulation in the light of the Interpretive Theory of Translation, trying to show why the key concept of “de-verbalization” makes co-translation justifiable, translation being defined as an operation from text to text not from language to language.The first part of our research is devoted to the theoretical aspects of our study (definition of some key notions, mainly of the Interpretive Theory of Translation) and its practical aspects (general survey of translated Korean literary works into French). In the second part, we analyze a large number of our translation samples with the objective of showing the sort of dialog the translator and her co-translator entertain, and underlining the nature of guidance proposed by the first one to second one and the contribution of the last one.Our conclusion is that, thanks to this dual-team process, often wrongly considered as a lesser evil, we are able to produce quality literary translation provided that the method implemented takes into account the conditions we describe here
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Grim, Pavel. "Převod výrazů v C do DIMACS formátu." Master's thesis, Vysoké učení technické v Brně. Fakulta informačních technologií, 2015. http://www.nusl.cz/ntk/nusl-234975.

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This work focuses on proposition of transfer of the expressions entered in the C pro­gramming language into DIMACS format and creation of program in programming language C++ making this transfer. This work contains a description of the C pro­gramming language and its operators. It also con­tains a description of the conjunctive normal form and a descri­ption of the DIMACS format. Following is a proposal for a program for the transfer of expression in the C programming language to the DIMACS format and description of reali­zation of program performing this transfer.
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Leguil, Martin. "Cocycle dynamics and problems of ergodicity." Thesis, Sorbonne Paris Cité, 2017. http://www.theses.fr/2017USPCC159/document.

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Le travail qui suit comporte quatre chapitres : le premier est centré autour de la propriété de mélange faible pour les échanges d'intervalles et flots de translation. On y présente des résultats obtenus avec Artur Avila qui renforcent des résultats précédents dus à Artur Avila et Giovanni Forni. Le deuxième chapitre est consacré à un travail en commun avec Zhiyuan Zhang et concerne les propriétés d'ergodicité et d'accessibilité stables pour des systèmes partiellement hyperboliques de dimension centrale au moins égale à deux. On montre que sous des hypothèses de cohérence dynamique, center bunching et pincement fort, la propriété d'accessibilité stable est dense en topologie C^r, r>1, et même prévalente au sens de Kolmogorov. Dans le troisième chapitre, on expose les résultats d'un travail réalisé en collaboration avec Julie Déserti, consacré à l'étude d'une famille à un paramètre d'automorphismes polynomiaux de C^3 ; on montre que de nouveaux phénomènes apparaissent par rapport à ce qui était connu dans le cas de la dimension deux. En particulier, on étudie les vitesses d'échappement à l'infini, en montrant qu'une transition s'opère pour une certaine valeur du paramètre. Le dernier chapitre est issu d'un travail en collaboration avec Jiangong You, Zhiyan Zhao et Qi Zhou ; on s'intéresse à des estimées asymptotiques sur la taille des trous spectraux des opérateurs de Schrödinger quasi-périodiques dans le cadre analytique. On obtient des bornes supérieures exponentielles dans le régime sous-critique, ce qui renforce un résultat précédent de Sana Ben Hadj Amor. Dans le cas particulier des opérateurs presque Mathieu, on montre également des bornes inférieures exponentielles, qui donnent des estimées quantitatives en lien avec le problème dit "des dix Martinis". Comme conséquences de nos résultats, on présente des applications à l'homogénéité du spectre de tels opérateurs ainsi qu'à la conjecture de Deift
The following work contains four chapters: the first one is centered around the weak mixing property for interval exchange transformations and translation flows. It is based on the results obtained together with Artur Avila which strengthen previous results due to Artur Avila and Giovanni Forni. The second chapter is dedicated to a joint work with Zhiyuan Zhang, in which we study the properties of stable ergodicity and accessibility for partially hyperbolic systems with center dimension at least two. We show that for dynamically coherent partially hyperbolic diffeomorphisms and under certain assumptions of center bunching and strong pinching, the property of stable accessibility is dense in C^r topology, r>1, and even prevalent in the sense of Kolmogorov. In the third chapter, we explain the results obtained together with Julie Déserti on the properties of a one-parameter family of polynomial automorphisms of C^3; we show that new behaviours can be observed in comparison with the two-dimensional case. In particular, we study the escape speed of points to infinity and show that a transition exists for a certain value of the parameter. The last chapter is based on a joint work with Jiangong You, Zhiyan Zhao and Qi Zhou; we get asymptotic estimates on the size of spectral gaps for quasi-periodic Schrödinger operators in the analytic case. We obtain exponential upper bounds in the subcritical regime, which strengthens a previous result due to Sana Ben Hadj Amor. In the particular case of almost Mathieu operators, we also show exponential lower bounds, which provides quantitative estimates in connection with the so-called "Dry ten Martinis problem". As consequences of our results, we show applications to the homogeneity of the spectrum of such operators, and to Deift's conjecture
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Mehrzi, Issam. "Analyse harmonique et fonctions d'ondes sphéroïdales." Phd thesis, Université Pierre et Marie Curie - Paris VI, 2014. http://tel.archives-ouvertes.fr/tel-01057266.

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Notre travail est motivé par le problème de l'évaluation du déterminant de Fredholm d'un opérateur intégral. Cet opérateur apparait dans l'expression de la probabilité pour qu'un intervalle [?s, s] (s > 0) ne contienne aucune valeur propre d'une matrice aléatoire hermitienne gaussienne. Cet opérateur commute avec un opérateur différentiel de second ordre dont les fonctions propres sont les fonctions d'ondes sphéroïdales de l'ellipsoïde alongé. Plus généralement nous considérons l'opérateur de Legendre perturbé. Nous montrons qu'il existe un opérateur de translation généralisée associé à cet opérateur. En?n, par une méthode d'approximation des solutions de certaines équations différentielles, dite méthode WKB, nous avons obtenu le comportement asymptotique des fonctions d'ondes sphéroïdales de l'ellipsoïde alongé Il s'exprime à l'aide des fonctions de Bessel et d'Airy. Par la même méthode nous avons obtenu le comportement asymptotique des fonctions propres de l'opérateur dfférentiel d'Airy.
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Books on the topic "Translation operator"

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MacDonald, Gordon Wilson. Invariant subspaces for weighted translation operators. Toronto: [s.n.], 1989.

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Yu Li: Confessions of an elevator operator : a novel. Hong Kong: Make-Do Pub., 2009.

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Czapiga, Zofia. Rosyjskie operatory metatekstowe i ich polskie odpowiedniki. Rzeszów: Wydawn. Uniwersytetu Rzeszowskiego, 2006.

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Xiao, Kairong. Shi ge fan yi zhong de kuang jia cao zuo: Zhongguo gu shi Ying yi ren zhi yan jiu = Frame operation in poetry translation : a cognitive approach to English translation of classical Chinese poetry. Beijing: Ke xue chu ban she, 2017.

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Bryan, González Vargas y González Baz., ed. Translation of the decree for the development and operation of the export maquila industry. Juarez, Mexico: Bryan, González Vargas & González Baz, S.C., 1993.

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International Writersʼ Seminar (1985 Nicosia, Cyprus). International Writersʼ Seminar: The role of literary translation and criticism in the promotion of foreign literature as a form of international exchange and co-operation. Edited by Kythreōtēs Iak 1925- and PEN (Organization). Nicosia, Cyprus: Cyprus PEN Publications, 1987.

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Enquetes-Accidents, Bureau. Accident on 25 July 2000 at "La Patte d'Oie" in Gonesse (95),to the Concorde, registered F-BTSC, operated by Air France: Interim report translation. Le Bourget: Bureau Enquetes-Accidents, 2000.

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Wei, Qingguang. Gai ge kai fang yi lai Zhongguo fan yi huo dong de she hui yun xing yan jiu: Study on social operation of China's translation activities since 1978. Beijing: Zhongguo she hui ke xue chu ban she, 2014.

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Ivan, Dorovský, ed. Zápisky z doby bombardování. Brno: Společnost přátel jižních Slovanů v České Republice, 1999.

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Penerangan, Indonesia Departemen. Regulation of the Minister of Information of the Republic of Indonesia no. 01/Per/Menpen/1984 concerning Press Publication Operation Permit and Decision of the Minister of Information of the Republic of Indonesia no. 214A/Kep/Menpen/1984 concerning Procedures and Requirements to Obtain a Press Publication Operation Permit: Provisional translation. [Jakarta]: Dept. of Information, Republic of Indonesia, 1986.

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Book chapters on the topic "Translation operator"

1

Banon, G. J. F., and J. Barrera. "Set Operator Decomposition and Conditionally Translation Invariant Elementary Operators." In Computational Imaging and Vision, 5–12. Dordrecht: Springer Netherlands, 1994. http://dx.doi.org/10.1007/978-94-011-1040-2_2.

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Greiner-Petter, André. "Qualitative and Quantitative Evaluations." In Making Presentation Math Computable, 113–40. Wiesbaden: Springer Fachmedien Wiesbaden, 2023. http://dx.doi.org/10.1007/978-3-658-40473-4_5.

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AbstractThis chapter primarily contributes to the research task V, i.e., evaluating the effectiveness of the semantification and translation system LACAST. In Section 5.1, we also extend LACAST semantic LATEX translations to support more mathematical operators, including sums, products, integrals, and limit notations. Hence, this chapter secondarily also contributes to research task IV, i.e., implementing an extension of the semantification approach to provide translations to CAS. We evaluate LACAST on two different datasets: the DLMF and Wikipedia.
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Wong, M. W. "Translation-Invariant Linear Operators." In Discrete Fourier Analysis, 17–21. Basel: Springer Basel, 2011. http://dx.doi.org/10.1007/978-3-0348-0116-4_2.

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Bischof, Brian. "Data Types and Operators." In The .NET Languages: A Quick Translation Guide, 25–60. Berkeley, CA: Apress, 2002. http://dx.doi.org/10.1007/978-1-4302-1136-5_3.

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Seifert, Christian, Sascha Trostorff, and Marcus Waurick. "Non-Autonomous Evolutionary Equations." In Evolutionary Equations, 259–73. Cham: Springer International Publishing, 2021. http://dx.doi.org/10.1007/978-3-030-89397-2_16.

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AbstractPreviously, we focussed on evolutionary equations of the form $$\displaystyle \left (\overline {\partial _{t,\nu }M(\partial _{t,\nu })+A}\right )U=F. $$ ∂ t , ν M ( ∂ t , ν ) + A ¯ U = F . In this chapter, where we turn back to well-posedness issues, we replace the material law operator M(∂t,ν), which is invariant under translations in time, by an operator of the form $$\displaystyle \mathcal {M}+\partial _{t,\nu }^{-1}\mathcal {N}, $$ ℳ + ∂ t , ν − 1 N , where both $$\mathcal {M}$$ ℳ and $$\mathcal {N}$$ N are bounded linear operators in $$L_{2,\nu }(\mathbb {R};H)$$ L 2 , ν ( ℝ ; H ) . Thus, it is the aim in the following to provide criteria on $$\mathcal {M}$$ ℳ and $$\mathcal {N}$$ N under which the operator $$\displaystyle \partial _{t,\nu }\mathcal {M}+\mathcal {N}+A $$ ∂ t , ν ℳ + N + A is closable with continuous invertible closure in $$L_{2,\nu }(\mathbb {R};H)$$ L 2 , ν ( ℝ ; H ) . In passing, we shall also replace the skew-selfadjointness of A by a suitable real part condition. Under additional conditions on $$\mathcal {M}$$ ℳ and $$\mathcal {N}$$ N , we will also see that the solution operator is causal. Finally, we will put the autonomous version of Picard’s theorem into perspective of the non-autonomous variant developed here.
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Chepyzhov, V. V., and M. I. Vishik. "Attractors of Non-Autonomous Evolution Equations with Translation-Compact Symbols." In Partial Differential Operators and Mathematical Physics, 49–60. Basel: Birkhäuser Basel, 1995. http://dx.doi.org/10.1007/978-3-0348-9092-2_6.

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Arendt, Wolfgang, Charles J. K. Batty, Matthias Hieber, and Frank Neubrander. "Translation Invariant Operators On L p (ℝ n )." In Vector-valued Laplace Transforms and Cauchy Problems, 423–54. Basel: Springer Basel, 2001. http://dx.doi.org/10.1007/978-3-0348-5075-9_8.

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Berezansky, Yu M., and A. A. Kalyuzhnyi. "Elements of Lie Theory for Generalized Translation Operators." In Harmonic Analysis in Hypercomplex Systems, 315–430. Dordrecht: Springer Netherlands, 1998. http://dx.doi.org/10.1007/978-94-017-1758-8_4.

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Arendt, Wolfgang, Charles J. K. Batty, Matthias Hieber, and Frank Neubrander. "Translation Invariant Operators on L p (ℝ n )." In Vector-valued Laplace Transforms and Cauchy Problems, 429–59. Basel: Springer Basel, 2011. http://dx.doi.org/10.1007/978-3-0348-0087-7_8.

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Rademaker, Laura. "Chapter 8. Interpreters of mission." In Benjamins Translation Library, 193–211. Amsterdam: John Benjamins Publishing Company, 2023. http://dx.doi.org/10.1075/btl.159.08rad.

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Focusing on the histories of interpretation in mission contexts across Australia and the Pacific, this chapter reveals that wherever they operated, missionaries depended on the cooperation of local intermediaries. Interpreters were vital. While this has long been noted in Pacific histories, scholars are only recently discovering similarities in Australia. Recent scholarship is also considering what Indigenous people themselves sought to achieve for their communities through interpreting, beyond resistance to or management of colonisers on their lands. The chapter concludes with three examples of Aboriginal interpreters who shaped the establishment of missions on their Country in various parts of North Australia in the twentieth century. It finds that interpreters upheld their cultural obligations to Country through their linguistic work.
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Conference papers on the topic "Translation operator"

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Zhu, Guang-Yu, Hou-Xing Zhou, and Wei Hong. "FIPWA Translation Operator Embbeded in the Directional Multilevel Framework." In 2018 IEEE International Conference on Computational Electromagnetics (ICCEM). IEEE, 2018. http://dx.doi.org/10.1109/compem.2018.8496650.

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Borries, Oscar, Per Christian Hansen, Stig B. Sorensen, Peter Meincke, and Erik Jorgensen. "Gaussian translation operator for Multi-Level Fast Multipole Method." In 2014 IEEE International Symposium on Antennas and Propagation & USNC/URSI National Radio Science Meeting. IEEE, 2014. http://dx.doi.org/10.1109/aps.2014.6905403.

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Michiels, Bart, Ignace Bogaert, Jan Fostier, and Daniel De Zutter. "Scalable parallel computation of the translation operator in three dimensions." In 2013 Computational Electromagnetics Workshop (CEM'13). IEEE, 2013. http://dx.doi.org/10.1109/cem.2013.6617122.

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Cexus, Jean-Christophe, and Ali Khenchaf. "2D Teager-Kaiser Energy Operator for the translation motion compensation in ISAR signatures." In 2018 9th International Symposium on Signal, Image, Video and Communications (ISIVC). IEEE, 2018. http://dx.doi.org/10.1109/isivc.2018.8709209.

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Yucel, Abdulkadir C., Luis J. Gomez, and Eric Michielssen. "Tucker decomposition for compressing translation operator tensors in FMM-FFT accelerated SIE solvers." In 2015 USNC-URSI Radio Science Meeting (Joint with AP-S Symposium). IEEE, 2015. http://dx.doi.org/10.1109/usnc-ursi.2015.7303425.

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Michiels, B., I. Bogaert, J. Fostier, and D. De Zutter. "A weak scalability study of the parallel computation of the translation operator in the MLFMA." In 2013 International Conference on Electromagnetics in Advanced Applications (ICEAA). IEEE, 2013. http://dx.doi.org/10.1109/iceaa.2013.6632265.

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Zhang, Yi, and Kwun-Lon Ting. "Characterization of Instantaneous Point-Line Motions." In ASME 2004 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. ASMEDC, 2004. http://dx.doi.org/10.1115/detc2004-57294.

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This article discusses systematically the characterization of instantaneous point-line motions, and the higher-order relationship between a point-line motion and the associated rigid body motions. The transformation of a point-line between two positions is depicted as a pure translation along the point-line followed by a screw displacement about their common normal and expressed with a unit dual quaternion referred to as the point-line displacement operator. The derivatives of the point-line displacement operator characterize the point-line motion to various orders with a set of characteristic numbers. Such a treatment leads to a consistent expression or unified treatment for the transformation of lines, point-lines, and rigid bodies. The relationships between point-line motions and rigid body motions are addressed in detail up to the third order.
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Kong, Xianwen, Cle´ment M. Gosselin, and Pierre-Luc Richard. "Type Synthesis of Parallel Mechanisms With Multiple Operation Modes." In ASME 2006 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. ASMEDC, 2006. http://dx.doi.org/10.1115/detc2006-99628.

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There are usually several motion patterns having the same DOF (degree of freedom). For example, planar motion, spherical motion, and spatial translation are motion patterns with 3-DOF. An f-DOF parallel mechanism with multiple operation modes is a parallel mechanism that can generate different motion patterns with f DOF. Up to now, no method has been proposed for the type synthesis of parallel mechanisms with multiple operation modes. This paper presents a general method for the type synthesis of parallel mechanisms with multiple operation modes. Using the proposed approach, 3-DOF parallel mechanisms with both spherical and translational modes, i.e., parallel mechanisms generating both the spherical motion pattern and the spatial translational motion pattern, are generated systematically. A large number of parallel mechanisms with both spherical and translational modes are obtained.
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Sou, Akira, Kosuke Hayashi, and Tsuyoshi Nakajima. "Evaluation of Volume Tracking Algorithms for Gas-Liquid Two-Phase Flows." In ASME/JSME 2003 4th Joint Fluids Summer Engineering Conference. ASMEDC, 2003. http://dx.doi.org/10.1115/fedsm2003-45164.

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Qualitative and quantitative evaluations of volume tracking algorithms such as DA, FLAIR, MARS, CIP and VTEMC were conducted. Wide variety of two-dimensional test problems including (1) a circle transported in simple translation and rotational field, (2) a bubble rising in 45° slanted gravity field, (3) zigzag motion of a bubble in a vertical channel, and (4) a bubble rising in a stagnant liquid in axissymmetric cylindrical coordinate were chosen in the present study. As a result of these tests, the superiority of the cell-centered piecewise linear algorithm with the divergence treatment in operator split and especially with embedded micro cells was confirmed. Applicability of these algorithms to three-dimensional problems has to be examined in the future works.
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Greivenkamp, John E., and Matthew T. Chang. "Machine Vision System for Measuring Subsurface Damage." In Optical Fabrication and Testing. Washington, D.C.: Optica Publishing Group, 1992. http://dx.doi.org/10.1364/oft.1992.wb13.

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The dimpling technique is widely used to measure subsurface damage SSD. The ground surface is first acid etched to open up the fractures. A dimple is polished into the surface by a sphere of a known diameter, and the diameters of the circular zones with and without visible subsurface fractures are measured to determined the damage depth. The measuring system consists of a microscope with a reticule and a linear translation stage. The diameters of the various zones are visually interpreted and measured. The dimpling technique provides a direct measurement of SSD, as opposed to other techniques where the SSD is implied from other properties such as scattering. The manual measurements associated with this technique are tedious and requires a trained operator to identify the deepest fracture.
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Reports on the topic "Translation operator"

1

Chamovitz, Daniel, and Albrecht Von Arnim. Translational regulation and light signal transduction in plants: the link between eIF3 and the COP9 signalosome. United States Department of Agriculture, November 2006. http://dx.doi.org/10.32747/2006.7696515.bard.

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The COP9 signalosome (CSN) is an eight-subunit protein complex that is highly conserved among eukaryotes. Genetic analysis of the signalosome in the plant model species Arabidopsis thaliana has shown that the signalosome is a repressor of light dependent seedling development as mutant Arabidopsis seedlings that lack this complex develop in complete darkness as if exposed to light. These mutant plants die following the seedling stage, even when exposed to light, indicating that the COP9 signalosome also has a central role in the regulation of normal photomorphogenic development. The biochemical mode of action of the signalosome and its position in eukaryotic cell signaling pathways is a matter of controversy and ongoing investigation, and recent results place the CSN at the juncture of kinase signaling pathways and ubiquitin-mediated protein degradation. We have shown that one of the many CSN functions may relate to the regulation of translation through the interaction of the CSN with its related complex, eukaryotic initiation factor (eIF3). While we have established a physical connection between eIF3 subunits and CSN subunits, the physiological and developmental significance of this interaction is still unknown. In an effort to understand the biochemical activity of the signalosome, and its role in regulating translation, we originally proposed to dissect the contribution of "h" subunit of eIF3 (eIF3h) along the following specific aims: (i) Isolation and phenotypic characterization of an Arabidopsis loss-of-function allele for eIF3h from insertional mutagenesis libraries; (ii) Creation of designed gain and loss of function alleles for eIF3h on the basis of its nucleocytoplasmic distribution and its yeast-two-hybrid interactions with other eIF3 and signalosome partner proteins; (iii) Determining the contribution of eIF3h and its interaction with the signalosome by expressing specific mutants of eIF3h in the eIF3h- loss-of function background. During the course of the research, these goals were modified to include examining the genetic interaction between csn and eif3h mutations. More importantly, we extended our effort toward the genetic analysis of mutations in the eIF3e subunit, which also interacts with the CSN. Through the course of this research program we have made several critical scientific discoveries, all concerned with the apparent diametrically opposed roles of eIF3h and eIF3e. We showed that: 1) While eIF3e is essential for growth and development, eIF3h is not essential for growth or basal translation; 2) While eIF3e has a negative role in translational regulation, eIF3h is positively required for efficient translation of transcripts with complex 5' UTR sequences; 3) Over-accumulation of eIF3e and loss-of-function of eIF3h both lead to cop phenotypes in dark-grown seedlings. These results were published in one publication (Kim et al., Plant Cell 2004) and in a second manuscript currently in revision for Embo J. Are results have led to a paradigm shift in translation research – eIF3 is now viewed in all systems as a dynamic entity that contains regulatory subuits that affect translational efficiency. In the long-term agronomic outlook, the proposed research has implications that may be far reaching. Many important plant processes, including developmental and physiological responses to light, abiotic stress, photosynthate, and hormones operate in part by modulating protein translation [23, 24, 40, 75]. Translational regulation is slowly coming of age as a mechanism for regulating foreign gene expression in plants, beginning with translational enhancers [84, 85] and more recently, coordinating the expression of multiple transgenes using internal ribosome entry sites. Our contribution to understanding the molecular mode of action of a protein complex as fundamental as eIF3 is likely to lead to advances that will be applicable in the foreseeable future.
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Rokhlin, V. Diagonal Forms of Translation Operators for the Helmholtz Equation in Three Dimensions. Fort Belvoir, VA: Defense Technical Information Center, March 1992. http://dx.doi.org/10.21236/ada248862.

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Rokhlin, Vladimir. Sparse Diagonal Forms for Translation Operators for the Helmholtz Equation in Two Dimensions,. Fort Belvoir, VA: Defense Technical Information Center, December 1995. http://dx.doi.org/10.21236/ada309451.

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KHAIRALLAH, Sara, and EL HARROUDI Tijani. Delayed coloanal anastomosis technique in the management of low-lying rectal cancer: systematic review and meta-analysis. INPLASY - International Platform of Registered Systematic Review and Meta-analysis Protocols, February 2022. http://dx.doi.org/10.37766/inplasy2022.2.0002.

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Review question / Objective: Is there a difference in terms of post-operative events between delayed and immediate coloanal anastomoses in the management of rectum carcinoma? Condition being studied: Rectal carcinoma. Eligibility criteria: We defined the lower rectum as any rectal tumor located within 6cm of the anal margin or within 2cm of the upper edge of the sphincter ring.- All scientific articles published or not published between 01/1985 and 09/2021 that aim to demonstrate the postoperative, oncological and functional results of ACAD in the curative treatment of adenocarcinoma of the lower rectum or rectal cancer including the lower rectum.- Scientific articles that discuss case series treated with ACAD in different benign or malignant pathologies, but where patient data and results of this procedure are well individualized in patients operated on rectal adenocarcinoma. - Abstracts of conference sessions, theses or unpublished articles (grey literature) with complete data, allowing their extraction and processing in our review.Translated with http://www.DeepL.com/Translator (free version).
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Küsters, Ralf, and Ralf Molitor. Computing Most Specific Concepts in Description Logics with Existential Restrictions. Aachen University of Technology, 2000. http://dx.doi.org/10.25368/2022.108.

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Computing the most specific concept (msc) is an inference task that can be used to support the 'bottom-up' construction of knowledge bases for KR systems based on description logics. For description logics that allow for number restrictions or existential restrictions, the msc need not exist, though. Previous work on this problem has concentrated on description logics that allow for universal value restrictions and number restrictions, but not for existential restrictions. The main new contribution of this paper is the treatment of description logics with existential restrictions. More precisely, we show that, for the description logic ALE (which allows for conjunction, universal value restrictions, existential restrictions, negation of atomic concepts) the msc of an ABox-individual only exists in case of acyclic ABoxes. For cyclic ABoxes, we show how to compute an approximation of the msc. Our approach for computing the (approximation of the) msc is based on representing concept descriptions by certain trees and ABoxes by certain graphs, and then characterizing instance relationships by homomorphisms from trees into graphs. The msc/approximation operation then mainly corresponds to unraveling the graphs into trees and translating them back into concept descriptions.
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