Relevant bibliographies by topics / Term rewritting

Academic literature on the topic 'Term rewritting'

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Published: 23 September 2022
Last updated: 28 September 2022

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Journal articles on the topic "Term rewritting"

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FARMER, WILLIAM M., and RONALD J. WATRO. "REDEX CAPTURING IN TERM GRAPH REWRITING." International Journal of Foundations of Computer Science 01, no. 04 (December 1990): 369–86. http://dx.doi.org/10.1142/s0129054190000266.

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Term graphs are a natural generalization of terms in which structure sharing is allowed. Structure sharing makes term graph rewriting a time- and space-efficient method for implementing term rewrite systems. Certain structure sharing schemes can lead to a situation in which a term graph component is rewritten to another component that contains the original. This phenomenon, called redex capturing, introduces cycles into the term graph which is being rewritten—even when the graph and the rule themselves do not contain cycles. In some applications, redex capturing is undesirable, such as in contexts where garbage collectors require that graphs be acyclic. In other applications, for example in the use of the fixed-point combinator Y, redex capturing acts as a rewriting optimization. We show, using results about infinite rewritings of trees, that term graph rewriting with arbitrary structure sharing (including redex capturing) is sound for left-linear term rewrite systems.
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Reinhartz, Adele. "‘Rewritten Gospel’: The Case of Caiaphas the High Priest." New Testament Studies 55, no. 2 (March 10, 2009): 160–78. http://dx.doi.org/10.1017/s0028688509000113.

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Although the term ‘rewritten Bible’ has been used primarily of postbiblical Jewish retellings of the Hebrew Bible, the phenomenon which it describes extends to the present day, and pertains to the NT as well as the Hebrew Bible. This paper examines two examples of ‘rewritten Gospel’—Dorothy Sayers's play cycle,The Man Born to Be King(1941–2) and Sholem Asch's novel,The Nazarene(1939)—in order to argue that such postcanonical Jesus narratives should be of interest to NT scholarship just as ‘rewritten Bible’ is of interest to scholars of the Hebrew Bible.
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Jassen, Alex. "Hindy Najman. Seconding Sinai: The Development of Mosaic Discourse in Second Temple Judaism. Supplements to the Journal for the Study of Judaism 77. Leiden: Brill, 2003. xiv, 176 pp." AJS Review 29, no. 2 (November 2005): 367–69. http://dx.doi.org/10.1017/s0364009405240175.

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In the present study, Hindy Najman addresses two fundamental aspects related to Second Temple Jewish literature: pseudepigrapha and the rewritten Bible. Pseudepigrapha as a literary genre signifies texts which claim as their author some privileged individual from the past. In reality, however, the attribution of authorship to some ancient figure masks the present-day composition of the text. The term rewritten Bible, in its broadest use, refers to the interpretive reworking of the scriptural text and story through such means as expansion, deletion, harmonization, and conflation. The final product retains the narrative sequence of the scriptural account though in a significantly modified form. Both of these literary techniques seemingly have at their base a manipulation and subversion of the integrity of the scriptural story and text. Pseudepigrapha asserts for a latter day author the authority and prestige of an ancient figure; rewritten Bible presents itself as a new and improved scripture.
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Teeter, D. Andrew. "On “Exegetical Function” in Rewritten Scripture: Inner-Biblical Exegesis and the Abram/Ravens Narrative inJubilees." Harvard Theological Review 106, no. 4 (October 2013): 373–402. http://dx.doi.org/10.1017/s0017816013000217.

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While no consensus obtains among specialists as to what the term “rewritten Bible” (or “rewritten Scripture”) properly denotes—or whether, indeed, it is proper to use at all—most agree that the texts thought to represent this category are basically exegetical in character. That is, they are supposed to have as their aim or goal the interpretation of texts that are now part of the Hebrew Bible. At the same time, it is universally recognized that the authors of so-called rewritten Bible compositions exercised a substantial degree of freedom in their retelling. They clearly had their own interests, motives, and aims, distinct from those of the biblical narrative. These interests (sometimes characterized as “ideological” in nature), in turn, determine the structure or literary shape of their work, including such basic elements as character, plot, scope, and narrative voice. Thus, while it is constitutive for the genre or category that such works mainly follow the sequence and wording of the biblical text, they are not—and cannot be—identical to the latter in compositional form. Every rewritten Bible composition is defined by its own retelling strategy or program.
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Petersen, Anders Klostergaard. "The Riverrun of Rewriting Scripture: From Textual Cannibalism to Scriptural Completion." Journal for the Study of Judaism 43, no. 4-5 (2012): 475–96. http://dx.doi.org/10.1163/15700631-12341236.

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Abstract To retain the concept of rewritten Bible as a scholarly category it is not only crucial to slightly change the name of the notion by re-designating it “rewritten Scripture” but also to accord the term the status of a cross-cultural third-order concept. This will allow research to detach the notion from its somewhat current “parochial” nature intrinsically linked as it is to the study of Second Temple Jewish literature. Rewritten Scripture should be conceived of as an excessive form of intertextuality that signifies the relationship existing between scriptural predecessor and rewritten piece with respect to the question of authority. Apart from advancing the theoretical discussion of the nomenclature, the essay takes a fresh look at a moot point that has loomed large in previous debates, whether rewritten Scripture strives to replace its scriptural predecessor or aims to complement it in an irenic fashion. The acknowledgement of some aspectualism grants legitimacy to both viewpoints, when they are rightfully understood within their proper perspectives. Finally, the article engages in typological considerations that will allow us to distinguish between three continua defined by respectively content, form, and function. Each constitutes a continuum on its own that advantageously may be segmented by several caesuras, which will allow us to differentiate between irenic scriptural completion at the one end of the spectrum and scriptural cannibalism at the other end of the spectrum. The fact that two works belonging to the category diverge on one continuum does not imply a corresponding divergence at other continua.
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Barna, Imre F., Mihály A. Pocsai, and L. Mátyás. "Self-Similarity Analysis of the Nonlinear Schrödinger Equation in the Madelung Form." Advances in Mathematical Physics 2018 (October 1, 2018): 1–5. http://dx.doi.org/10.1155/2018/7087295.

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In the present study a particular case of Gross-Pitaevskii or nonlinear Schrödinger equation is rewritten to a form similar to a hydrodynamic Euler equation using the Madelung transformation. The obtained system of differential equations is highly nonlinear. Regarding the solutions, a larger coefficient of the nonlinear term yields stronger deviation of the solution from the linear case.
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Majewski, Marcin. "The Phenomenon of Rewriting Scripture in Late Second Temple Judaism: Some Methodological Reflections on the So-Called “Rewritten Bible” Category." Verbum Vitae 39, no. 4 (December 17, 2021): 1311–34. http://dx.doi.org/10.31743/vv.12861.

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The term “Rewritten Bible” was introduced by Géza Vermes in 1961 to describe works from late Second Temple period that “retell” or “rewrite” Scriptures with characteristic changes. Since then, much has been written about this category of texts. Today some researchers are tired of discussing this concept, suggesting even a move away from the notion. Others, on the contrary, apply it to an increasing number of texts, including even works lying outside the specific context of late Second Temple Jewish literature. This article discusses the phenomenon of the “Rewritten Bible” (RewB) and takes up a polemic with certain approaches to the category, concerning terminology, scope, and character, as well as indication of the purposes of rewriting activity. The article shows that the category remains useful and important, within certain methodological clarifications.
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Perrin, Andrew B. "Rewritten Bible after Fifty Years: Texts, Terms, or Techniques?, written by József Zsengellér." Dead Sea Discoveries 24, no. 1 (March 23, 2017): 165–67. http://dx.doi.org/10.1163/15685179-12341424.

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Prior, Paul. "Chapter VII: Contextualizing Teachers’ Responses to Writing in the College Classroom." Teachers College Record: The Voice of Scholarship in Education 99, no. 6 (March 1998): 153–77. http://dx.doi.org/10.1177/016146819809900607.

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The theme writing in English A is of the most elementary description; but the compositions in this course, over 6,000 in number during each half year, are carefully criticized by the proper instructor and returned by him to the student. They are then rewritten, and often recast. Owing to the number of these exercises and the constant accumulation of fresh papers the rewritten themes are not read by the instructors, except to determine the final grade of a student whose mark is doubtful. The work of criticizing and correcting the English A themes is not inaptly described by certain of the instructors as of a “stupefying” character, to which it is difficult to give more than four hours of intelligent attention per day; and judging by a single set of 450 papas, your Committee is disposed to consider the adjective “stupefying” as a mild term to apply to such work, while four hours per day would seem an excessive time to devote to it.—Report of the Committee on Composition and Rhetoric, Harvard University, 1892.1
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HANKE, MARTIN, and ELISABETH RÖSLER. "COMPUTATION OF LOCAL VOLATILITIES FROM REGULARIZED DUPIRE EQUATIONS." International Journal of Theoretical and Applied Finance 08, no. 02 (March 2005): 207–21. http://dx.doi.org/10.1142/s0219024905002950.

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We propose a new method to calibrate the local volatility function of an asset from observed option prices of the underlying. Our method is initialized with a preprocessing step in which the given data are smoothened using cubic splines before they are differentiated numerically. In a second step the Dupire equation is rewritten as a linear equation for a rational expression of the local volatility. This equation is solved with Tikhonov regularization, using some discrete gradient approximation as penalty term. We show that this procedure yields local volatilities which appear to be qualitatively correct.
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Dissertations / Theses on the topic "Term rewritting"

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Nguyen, Duy Duc. "Modeling a micro-mirror array and contribution to the development of a simulator of micro-system arrays." Thesis, Bourgogne Franche-Comté, 2017. http://www.theses.fr/2017UBFCD087.

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Dans cette thèse, nous contribuons à la modélisation, la simulation et l'optimisation d'une nouvelle génération de matrices de micro-miroirs conçue par le Laboratoire d'Astrophysique de Marseille (LAM). Une contribution est également apportée au développement du logiciel de calcul symbolique MEMSALab qui assistera la construction de modèles multi-échelles pour des matrices de microsystèmes. Le couplage entre le comportement élastique quasi-statique non linéaire d'une cellule de la matrice de micro-miroirs et le champ électrostatique utilisé pour son actionnement a été simulé.Une fois validée, cette simulation a été utilisée pour étudier le phénomène de pull-in ainsi que son optimisation. Ensuite, un modèle homogénéisé du champ électrostatique dans le vide entourant la matrice de micro-miroirs est construit à l'aide d'une méthode asymptotique. Les contributions au développement de MEMSALab constituent en l'introduction d'une théorie d'extension et de combinaison de preuves qui sera utilisée pour construire des modèles asymptotiques par un procédé de complexifications successives. Enfin, un langage spécifique complet pour l'utilisation de MEMSALab est présenté et illustré par des exemples significatifs. En particulier, il a été utilisé pour coder la construction d'un modèle homogénéisé qui sert d'art initial à la méthode extension-combinaison
In this thesis, we contribute to the modeling, simulation and optimization of a new generation of micro mirror arrays designed by the Astrophysics Laboratory of Marseille (LAM). A contribution is also made to the development of MEMSALab a symbolic computation software package designed to asist multiscale model derivation for microsystem arrays. The coupling between the quasi-static nonlinear behavior of a cell of the micro-mirror array and the electrostatic field used for its actuation is simulated. The simulation is then used to study the phenomenon of pull-in and its optimization. Then, a homogenized model for the electrostatic field in the vacuum space surrounding in the micro-mirror array has been built using an asymptotic method. The contributions to the development of MEMSALab consist in the introduction of an extension and combination theory that will be used to construct multiscale models based on various asymptotic approaches by a process of successive complexifications. Finally, a complete specification language for using MEMSALab is presented and illustrated by significant examples. In particular, it was used to encode the derivation of a homogenized model that serves as an initial state to the extension-combination method
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Books on the topic "Term rewritting"

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Vermès, Géza. Rewritten Bible after fifty years: Texts, terms, or techniques? : a last dialogue with Geza Vermes. Leiden: Brill, 2014.

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Zsengellér, József, ed. Rewritten Bible after Fifty Years: Texts, Terms, or Techniques? BRILL, 2014. http://dx.doi.org/10.1163/9789004271180.

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Buhler, James. Narratology and the Soundtrack. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780199371075.003.0006.

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Chapter 6 focuses on narrative theories of film. It opens with a discussion of film narratology in general. The second section then covers narratological theories of the soundtrack, especially music, which was one of the first subsystems of film to have its theory rewritten in explicitly narratological terms. It considers contributions by Claudia Gorbman, Michel Chion, Sarah Kozoloff, Giorgi Biancorosso, Robynn Stilwell, Jeff Smith, and Ben Winters and traces how the basic conceptual distinction of diegetic and nondiegetic music has evolved. The next section examines the important narratological concept of focalization as it applies to music in film, drawing on the work of Guido Heldt and concludes with a brief discussion of focalization in Casablanca.
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Kolb, Laura. Fictions of Credit in the Age of Shakespeare. Oxford University Press, 2021. http://dx.doi.org/10.1093/oso/9780198859697.001.0001.

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In Shakespeare’s England, credit was synonymous with reputation, and reputation developed in the interplay of language, conduct, and social interpretation. As a consequence, artful language and social hermeneutics became practical, profitable skills. Since most people both used credit and extended it, the dual strategies of implication and inference—of producing and reading evidence—were everywhere. Like poetry or drama, credit was constructed: fashioned out of the interplay of artifice and interpretation. The rhetorical dimension of economic relations produced social fictions on a range of scales: from transitory performances facilitating local transactions to the long-term project of maintaining creditworthiness to the generalized social indeterminacy that arose from the interplay of performance and interpretation. Fictions of Credit in the Age of Shakespeare examines how Shakespeare and his contemporaries represented credit-driven artifice and interpretation on the early modern stage. It also analyses a range of practical texts—including commercial arithmetics, letter-writing manuals, legal formularies, and tables of interest—which offered strategies for generating credit and managing debt. Looking at plays and practical texts together, Fictions of Credit argues that both types of writing constitute “equipment for living”: practical texts by offering concrete strategies for navigating England’s culture of credit, and plays by exploring the limits of credit’s dangers and possibilities. In their representations of a world rewritten by debt relations, dramatic texts in particular articulate a phenomenology of economic life, telling us what it feels like to live in credit culture: to live, that is, inside a fiction.
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Book chapters on the topic "Term rewritting"

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Chaudhuri, Kaustuv. "Subformula Linking for Intuitionistic Logic with Application to Type Theory." In Automated Deduction – CADE 28, 200–216. Cham: Springer International Publishing, 2021. http://dx.doi.org/10.1007/978-3-030-79876-5_12.

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AbstractSubformula linking is an interactive theorem proving technique that was initially proposed for (classical) linear logic. It is based on truth and context preserving rewrites of a conjecture that are triggered by a user indicating links between subformulas, which can be done by direct manipulation, without the need of tactics or proof languages. The system guarantees that a true conjecture can always be rewritten to a known, usually trivial, theorem. In this work, we extend subformula linking to intuitionistic first-order logic with simply typed lambda-terms as the term language of this logic. We then use a well known embedding of intuitionistic type theory into this logic to demonstrate one way to extend linking to type theory.
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"Crossing the Borders from “Pre-Scripture” to Scripture (Rewritten) to “Rewritten Scripture”." In Rewritten Bible after Fifty Years: Texts, Terms, or Techniques?, 83–104. BRILL, 2014. http://dx.doi.org/10.1163/9789004271180_005.

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"Rewritten Bible: A Terminological Reassessment." In Rewritten Bible after Fifty Years: Texts, Terms, or Techniques?, 49–81. BRILL, 2014. http://dx.doi.org/10.1163/9789004271180_004.

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Wang, Zhengxu, and Anastas Vangeli. "China." In The Politics of Presidential Term Limits, 247–68. Oxford University Press, 2019. http://dx.doi.org/10.1093/oso/9780198837404.003.0013.

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In China, the ruling Chinese Communist Party’s rules govern the terms and tenures of party and state leaders. This chapter recounts the evolution of the party-state’s term-related rules from the Mao (1949–78) to the Deng (1980s–90s) and post-Deng (1990s–2012) eras. Formal rules developed from the 1980s through the 2010s to govern the tenure of party leaders and officials, which led to formal and predictable elite turnovers within the system, up to its very top level. By the turn of century, the paramount leader, who concurrently serves as general secretary of the Party, state president, and chairman of the Central Military Commission, had been brought under the same set of rules. The current president Xi Jinping appears to have opened a new era in which the rules governing the tenure and replacement of the top leader will have to be rewritten. We examine the various possibilities lying ahead.
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"Philo’s Life of Moses as “Rewritten Bible”." In Rewritten Bible after Fifty Years: Texts, Terms, or Techniques?, 233–48. BRILL, 2014. http://dx.doi.org/10.1163/9789004271180_014.

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"The Genesis of the Concept of “Rewritten Bible”." In Rewritten Bible after Fifty Years: Texts, Terms, or Techniques?, 1–9. BRILL, 2014. http://dx.doi.org/10.1163/9789004271180_002.

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"Josephus’ “Rewritten Bible” as a Non-Apologetic Work." In Rewritten Bible after Fifty Years: Texts, Terms, or Techniques?, 249–66. BRILL, 2014. http://dx.doi.org/10.1163/9789004271180_015.

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"Rewritten Bible and the Vocalization of the Biblical Text." In Rewritten Bible after Fifty Years: Texts, Terms, or Techniques?, 137–51. BRILL, 2014. http://dx.doi.org/10.1163/9789004271180_008.

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"Apocryphon of Jeremiah C from Qumran: Rewritten Prophetic Text or Something Else?" In Rewritten Bible after Fifty Years: Texts, Terms, or Techniques?, 203–19. BRILL, 2014. http://dx.doi.org/10.1163/9789004271180_012.

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"Between Rewritten Bible and Allegorical Commentary: Philo’s Interpretation of the Burning Bush." In Rewritten Bible after Fifty Years: Texts, Terms, or Techniques?, 221–32. BRILL, 2014. http://dx.doi.org/10.1163/9789004271180_013.

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Conference papers on the topic "Term rewritting"

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Naess, A., and H. C. Karlsen. "Nonlinear, Second-Order Response Statistics of Compliant Offshore Structures." In ASME 2003 22nd International Conference on Offshore Mechanics and Arctic Engineering. ASMEDC, 2003. http://dx.doi.org/10.1115/omae2003-37127.

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The paper continues previous work to develop a new method for calculating the mean level crossing rate of a stochastic process represented as a second order stochastic Volterra series. The derivation of this procedure consists of three stages. First the expression for the mean crossing rate is rewritten in terms of a joint characteristic function. Secondly, it is noted that a closed form expression for this joint characteristic function can be derived. Thirdly, it is then demonstrated how the method of steepest descent can be applied to the numerical calculation of the mean crossing rate. It is shown by an example that the numerical accuracy of this method is apparently very high.
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Klimek, Malgorzata. "Fractional Sturm-Liouville Problem and 1D Space-Time Fractional Diffusion With Mixed Boundary Conditions." In ASME 2015 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. American Society of Mechanical Engineers, 2015. http://dx.doi.org/10.1115/detc2015-46808.

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In the paper, we show a connection between a regular fractional Sturm-Liouville problem with left and right Caputo derivatives of order in the range (1/2, 1) and a 1D space-time fractional diffusion problem in a bounded domain. Both problems include mixed boundary conditions in a finite space interval. We prove that in the case of vanishing mixed boundary conditions, the Sturm-Liouville problem can be rewritten in terms of Riesz derivatives. Then, we apply earlier results on its eigenvalues and eigenfunctions to construct a weak solution of the 1D fractional diffusion equation with variable diffusivity. Adding an assumption on the summability of the eigenvalues’ inverses series, we formulate a theorem on a strong solution of the 1D fractional diffusion problem.
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Hagani, Fouad, M’hamed Boutaous, Ronnie Knikker, Shihe Xin, and Dennis Siginer. "Numerical Modeling of Phan-Thien-Tanner Viscoelastic Fluid Flow Through a Square Cross-Section Duct: Heat Transfer Enhancement due to Shear-Thinning Effects." In ASME 2018 International Mechanical Engineering Congress and Exposition. American Society of Mechanical Engineers, 2018. http://dx.doi.org/10.1115/imece2018-87568.

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Non-isothermal laminar flow of a viscoelastic fluid through a square cross-section duct is analyzed. Viscoelastic stresses are described by the Phan-Thien – Tanner model and the solvent shear stress is given by the linear Newtonian constitutive relationship. The solution of the set of governing equations spawns coupling between equations of elliptic-hyperbolic type. Our numerical approach is based on the finite-differences method. To treat the hyperbolic part, the system of equations are rewritten in a quasilinear form. The resulting pure advection terms are discretized using high-order upwind schemes when the hyper bolicity condition is satisfied. The incompressibility condition is obtained by the semi-implicit projection method. Finally we investigate the evolution of velocity, shear stress, viscosity and heat transfer over a wide range of Weissenberg numbers.
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Prasher, Ravi S. "Phonon Transport in Anisotropic Scattering Particulate Media." In ASME 2003 International Mechanical Engineering Congress and Exposition. ASMEDC, 2003. http://dx.doi.org/10.1115/imece2003-41033.

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Equation of phonon radiative transport (EPRT) is rewritten to include anisotropic scattering by a particulate media by including an acoustic phase function and an in-scattering term which makes EPRT exactly same as equation of radiative transport (ERT). This formulation of EPRT is called generalized EPRT (GEPRT). It is shown that GEPRT reduces to EPRT for isotropic scattering and is totally consistent with phonon transport theory, showing that transport cross section is different from the scattering cross section. GEPRT leads to same formulation for transport cross section as given by phonon transport theory. However GEPRT shows that transport cross section formulations as described by phonon transport theory are only valid for acoustically thick medium. Transport cross section is different for the acoustically thin medium leading to the conclusion that mean free path (m.f.p) is size dependant. Finally calculations are performed for two types of scatterers for acoustic waves without mode conversion: 1) Acoustically hard Rayleigh sphere 2) large sphere in the geometrical scattering regime. Results show that the scattering from these particles is highly anisotropic. It is also shown that for geometrical scattering case isotropic scattering leads to the conclusion of total internal reflection at the particle/medium interface.
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Kolnhofer-Derecskei, Anita, and Regina Reicher. "How the Pandemic Has Impacted CSR and Employee Volunteerism in the SME Sector." In Challenges in Economics and Business in the Post-COVID Times. University of Maribor Press, 2022. http://dx.doi.org/10.18690/um.epf.5.2022.41.

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Social and economic sustainability has become a crucial issue in the corporate sector over recent decades, both in large and small- and medium-sized enterprises (SME). The shock caused by the global pandemic has prompted SME players to rethink their operations. It has motivated them to develop sustainable processes to ensure their long-term economic and competitive presence in the market. The aim of this article is to provide a literature review of operational areas that can be examined and developed from the scope of Corporate Social Responsibility (CSR), which is a concept relating to understanding a business being part of society. Another scope underlined is employee volunteerism as an essential part of CSR activities. However, restrictions due to the COVID-19 pandemic have rewritten enterprises’ willingness to help and ways of providing such help. This paper provides a preliminary study of how employee volunteerism might work in the extraordinary COVID-19 situation. This study is a review article, which has been written to bring together and summarise the results/conclusions from multiple original research articles/studies. The authors of this study aim to provide practitioners with an overview to help them adapt to today’s rapidly changing environment.
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Ranson, William F., and Reginald I. Vachon. "Optical Strain Gage Measurement of Accumulated Damage Around Geometrical Discontinuities Such as in Pipes and Pressure Vessels." In ASME 2006 Pressure Vessels and Piping/ICPVT-11 Conference. ASMEDC, 2006. http://dx.doi.org/10.1115/pvp2006-icpvt-11-93766.

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The optical strain gage technologies are used to measure strain and evaluate accumulated damage around a geometrical discontinuity such as holes, notches or fillets that exist in pipes and pressure vessels. Results are presented for coupons undergoing stress. The results are consistent with theory. The DMI technologies optically observe record and measure the deformation of a target affixed to the surface of the part undergoing stress in a region of expected maximum strain or a region physically and mathematically linked to the region of maximum strain. Data is acquired from its proprietary target (strain gage) or 2D Data Matrix mark used as a target/strain gage. The deformation of the mark/strain gage as the object undergoes deformation is mathematically described by total strain equal to the elastic and plastic strain components. This equation can be rewritten to express strain life in terms of plastic strain. The measured plastic component of strain is directly related to the damage.
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Ganesan, R., and T. S. Sankar. "Resonant Oscillations and Stability of Asymmetric Rotors." In ASME 1993 Design Technical Conferences. American Society of Mechanical Engineers, 1993. http://dx.doi.org/10.1115/detc1993-0099.

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Abstract Non-stationary oscillations of an asymmetric rotor while passing through primary resonance and the associated stability behaviour are analyzed. Solutions are developed based on a Jeffcott rotor model and the equations of motion are rewritten in a form suitable for applying the method of multiple scales. The many-variable version using “slow” and “fast” lime scales is applied to obtain the uniform expansions of amplitudes of motion. Similar general expressions for amplitude and frequency modulation functions are explicitly obtained and are specialized to yield steady-state solutions. Frequency-amplitude relationships resulting from combined parametric and mass unbalance excitations, for the nonlinear vibration are derived. Stability regions in the parameter space are obtained for a stable solution in terms of the perturbed steady-state solutions of the governing equations of motion. Also, trivial solutions are examined for stability. The sensitivity of vibration amplitudes to various rotor-dynamic system parameters is illustrated through a numerical study.
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Ozawa, Masanori, Yumi Iwasaki, and Mark R. Cutkosky. "Multi Disciplinary Early Performance Evaluation via Logical Description of Mechanisms: DVD Pick up Head Example." In ASME 1998 Design Engineering Technical Conferences. American Society of Mechanical Engineers, 1998. http://dx.doi.org/10.1115/detc98/cie-6007.

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Abstract This paper describes an approach developed to support the early stages of designing multidisciplinary products. In the design of such products it is important for various specialists to share representations of the engineering models they use in making trade-off studies. Sharing information among diverse engineering tools at the data level is notoriously difficult and inflexible. When any of the modeling details, assumptions or constraints change, the translation must usually be rewritten. Our solution to this problem is to formalize the exchange of information among engineering specialists and their tools as a problem in communication among agents. The agents share a common ontology and a compositional modeling language (CML) in which models can be created such that conventions, constraints, and assumptions are defined formally and ultimately grounded in logic. We have applied CML in the context of a pick-up head design problem for DVD (digital versatile disc / digital video disc) players. We describe the pick-up head design problem, the CML models we have created to address early stages of pick-up head design, and the use of the CML models by a team of specialists, each participating as an agent in a concurrent engineering exercise.
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Hagani, Fouad, M'hamed Boutaous, Ronnie Knikker, Shihe Xin, and Dennis Siginer. "Numerical Modeling of Non-Affine Viscoelastic Fluid Flow Including Viscous Dissipation Through a Square Cross-Section Duct: Heat Transfer Enhancement due to the Inertia and the Elastic Effects." In ASME 2020 International Mechanical Engineering Congress and Exposition. American Society of Mechanical Engineers, 2020. http://dx.doi.org/10.1115/imece2020-23558.

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Abstract:
Abstract Non-isothermal laminar flow of a viscoelastic fluid including viscous dissipation through a square cross–section duct is analyzed. Viscoelastic stresses are described by Giesekus modele orthe Phan-Thien–Tanner model and the solvent shear stress is given by the linear Newtonian constitutive relationship. The flow through the tube is governed by the conservation equations of energy, mass, momentum associated with to one non–affine rheological model mentioned above. The mixed type of the governing system of equations (elliptic–parabolic–hyperbolic) requires coupling between discretisation methods designed for elliptic–type equations and techniques adapted to transport equations. To allow appropriate spatial discretisation of the convection terms, the system is rewritten in a quasi-linear first-order and homogeneous form without the continuity and energy equations. With the rheological models of the Giesekus type, the conformation tensor is by definition symmetrical and positive-definite, with the PTT model the hyperbolicity condition is subject to restrictions related to the rheological parameters. Based on this hyperbolicity condition, the contribution of the hyperbolic part is approximated by applying the characteristic method to extract pure advection terms which are then discretized by high ordre schemes WENO and HOUC. The algorithm thus developed makes it possible, to avoid the problems of instabilities related to the high Weissenberg number without the use of any stabilization method. Finally, a Nusselt number analysis is given as a function of inertia, elasticity, viscous dissipation, for constant solvent viscosity ratio and constant material and rheological parameters.
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10

Kubo, Shiro, and Kiyotsugu Ohji. "Estimation of Distributions of Contact Stressess and Displacements Using Regularization Schemes." In ASME 1998 International Mechanical Engineering Congress and Exposition. American Society of Mechanical Engineers, 1998. http://dx.doi.org/10.1115/imece1998-0219.

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Abstract Estimation of tractions and displacements on inaccessible boundaries, such as contact areas of solids, can be regarded as an inverse boundary value problem. In this study finite-element based inverse analysis schemes with regularization were applied to the estimation of the distributions of tractions and displacements on contact areas. The finite element equation was rewritten in terms of unknown boundary values on the contact area using over-prescribed boundary values. This equation was solved for the boundary values on the contact area. Like many other inverse problems, this inverse problem was severely ill-conditioned and the estimated distributions were very sensitive to the over-prescribed boundary values used in the estimation. To overcome the ill-posedness of this boundary value inverse problem, the function expansion method and Tikhonov regularization were introduced in the finite element-based inverse analysis scheme. The number of terms in the function expansion and the smoothing parameter in Tikhonov regularization were regarded as regularization parameters in the inverse analysis. To determine the optimum value of these regularization parameters, the estimated error criterion and the AIC were introduced. The usefulness of the finite element-based inversion scheme was examined by numerical simulations. It was found that the distributions of tractions and displacements can be estimated reasonably even from noisy observations by using the finite-element based inverse analysis schemes with regularization. The optimum value of the regularization parameters can be estimated by the estimated error criterion or by the AIC.
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