Relevant bibliographies by topics / Positive Definite Forms

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  1. Journal articles
  2. Dissertations / Theses
  3. Books
  4. Book chapters
  5. Conference papers

Academic literature on the topic 'Positive Definite Forms'

Author: Grafiati
Published: 4 June 2021
Last updated: 3 February 2022

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Journal articles on the topic "Positive Definite Forms"

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Hoffmann, Detlev W. "On positive definite hermitian forms." manuscripta mathematica 71, no. 1 (1991): 399–429. http://dx.doi.org/10.1007/bf02568415.

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Oh, Byeong-Kweon. "Positive definite n-regular quadratic forms." Inventiones mathematicae 170, no. 2 (2007): 421–53. http://dx.doi.org/10.1007/s00222-007-0068-8.

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Krieg, Aloys. "Primitive minima of positive definite quadratic forms." Acta Arithmetica 63, no. 1 (1993): 91–96. http://dx.doi.org/10.4064/aa-63-1-91-96.

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Lehman, J. Larry. "Levels of positive definite ternary quadratic forms." Mathematics of Computation 58, no. 197 (1992): 399. http://dx.doi.org/10.1090/s0025-5718-1992-1106974-1.

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Tekcan, Ahmet, and Seyma Kutlu. "Base points, bases and positive definite forms." Asian-European Journal of Mathematics 11, no. 02 (2018): 1850017. http://dx.doi.org/10.1142/s1793557118500171.

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Bondarenko, V. M., V. V. Bondarenko, and Yu N. Pereguda. "Local deformations of positive-definite quadratic forms." Ukrainian Mathematical Journal 64, no. 7 (2012): 1019–35. http://dx.doi.org/10.1007/s11253-012-0696-z.

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Wang, Xueli, and Dingyi Pei. "Elliptic curves and positive definite ternary forms." Science in China Series A: Mathematics 44, no. 11 (2001): 1426–32. http://dx.doi.org/10.1007/bf02877071.

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Kitaoka, Yoshiyuki. "A note on representation of positive definite binary quadratic forms by positive definite quadratic forms in 6 variables." Acta Arithmetica 54, no. 4 (1990): 317–22. http://dx.doi.org/10.4064/aa-54-4-317-322.

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Ju, Jangwon, Kyoungmin Kim, and Byeong-Kweon Oh. "Spinor representations of positive definite ternary quadratic forms." International Journal of Number Theory 14, no. 02 (2018): 581–94. http://dx.doi.org/10.1142/s1793042118500367.

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For a positive definite integral ternary quadratic form [Formula: see text], let [Formula: see text] be the number of representations of an integer [Formula: see text] by [Formula: see text]. The famous Minkowski–Siegel formula implies that if the class number of [Formula: see text] is one, then [Formula: see text] can be written as a constant multiple of a product of local densities which are easily computable. In this paper, we consider the case when the spinor genus of [Formula: see text] contains only one class. In this case the above also holds if [Formula: see text] is not contained in a
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Pei, Dingyi, Gerhard Rosenberger, and Xueli Wang. "The eligible numbers of positive definite ternary forms." Mathematische Zeitschrift 235, no. 3 (2000): 479–97. http://dx.doi.org/10.1007/s002090000142.

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Dissertations / Theses on the topic "Positive Definite Forms"

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Prieto-Cox, Juan Pablo. "Representations of positive definite Hermitian forms /." The Ohio State University, 1990. http://rave.ohiolink.edu/etdc/view?acc_num=osu1487683401441982.

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Alsulaimani, Hamdan. "STRICT REGULARITY OF POSITIVE DEFINITE TERNARY QUADRATIC FORMS." OpenSIUC, 2016. https://opensiuc.lib.siu.edu/dissertations/1294.

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An integral quadratic form is said to be strictly regular if it primitively represents all integers that are primitively represented by its genus. The goal of this dissertation is to extend the systematic investigation of the positive definite ternary primitive integral quadratic forms and lattices that are candidates for strict regularity. An integer that is primitively represented by a genus, but not by some specific form in that genus, is called a primitive exception for that form. So, the strictly regular forms are those forms for which there are no primitive exceptions. Our computations of
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Icaza, P?erez Mar?ia In?es. "Effectiveness in representations of positive definite quadratic forms /." The Ohio State University, 1992. http://rave.ohiolink.edu/etdc/view?acc_num=osu1487780393265363.

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Miller, Nicole Renee. "The Structure of the Class Group of Imaginary Quadratic Fields." Thesis, Virginia Tech, 2005. http://hdl.handle.net/10919/32572.

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Let $Q(\sqrt{-d})$ be an imaginary quadratic field with discriminant $\Delta$. We use the isomorphism between the ideal class groups of the field and the equivalence classes of binary quadratic forms to find the structure of the class group. We determine the structure by combining two of Shanks' algorithms [7, 8]. We utilize this method to find fields with cyclic factors that have order a large power of 2, or fields with class groups of high 5-ranks or high 7-ranks.<br>Master of Science
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Schiemann, Alexander. "Ternäre positiv definite quadratische Formen mit gleichen Darstellungszahlen." Bonn : [s.n.], 1994. http://catalog.hathitrust.org/api/volumes/oclc/31760889.html.

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Creel, Laura Haley Stadler Holly A. "The affective experience of moral decision making." Auburn, Ala., 2006. http://repo.lib.auburn.edu/2006%20Spring/doctoral/CREEL_LAURA_21.pdf.

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Smirnov, ILIA. "Smooth Complete Intersections with Positive-Definite Intersection Form." Thesis, 2012. http://hdl.handle.net/1974/7602.

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We classify the smooth complete intersections with positive-definite intersection form on their middle cohomology. There are two families. The first family are quadric hypersurfaces in P(4k+1) with k a positive integer. The middle cohomology is always of rank two and the intersection lattice corresponds to the identity matrix. The second family are complete intersections of two quadrics in P(4k+2) (k a positive integer). Here the intersection lattices are the Gamma(4(k+1)) lattices; in particular, the intersection lattice of a smooth complete intersection of two quadrics in P(6) is the famous
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Books on the topic "Positive Definite Forms"

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Computational geometry of positive definite quadratic forms: Polyhedral reduction theories, algorithms, and applications. American Mathematical Society, 2009.

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Ott, Walter. Leges Sive Natura. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198746775.003.0004.

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The way of laws is as much a defining feature of the modern period as the way of ideas. In one of its forms, it stands as an alternative to the moribund Aristotelian ontology. But the way of laws is hardly without its forks. Both before and after Descartes, there are philosophers using the concept of laws to carve out a very different position from his, one that is entirely disconnected from God or God’s will. This concept of law features in the work of Francis Bacon and comes to fruition in the work of Spinoza. Grasping it reshapes how we read the rest of their metaphysics and opens up a way
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Sellers-Young, Barbara. Men and the Happiness Dance. Edited by Anthony Shay and Barbara Sellers-Young. Oxford University Press, 2013. http://dx.doi.org/10.1093/oxfordhb/9780199754281.013.014.

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The solo improvisational forms of North Africa and the Middle East, most often referred to as belly dance, have played a definitive role in the global social imaginary of masculine and feminine identity. This essay looks at the life of three male dancers, Mahmoud Reda, John Compton, and Tito Seif, and the position they have played in their social and historical contexts in Egypt and the United States.
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Schomerus, Henning. Random matrix approaches to open quantum systems. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198797319.003.0010.

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Over the past decades, a great body of theoretical and mathematical work has been devoted to random-matrix descriptions of open quantum systems. This chapter reviews the physical origins and mathematical structures of the underlying models, and collects key predictions which give insight into the typical system behaviour. In particular, the aim is to give an idea how the different features are interlinked. The chapter mainly focuses on elastic scattering but also includes a short detour to interacting systems, which are motivated by the overarching question of ergodicity. The first sections in
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Gregory, Jeremy, ed. The Oxford History of Anglicanism, Volume II. Oxford University Press, 2017. http://dx.doi.org/10.1093/oso/9780199644636.001.0001.

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The Oxford History of Anglicanism is a major new and unprecedented international study of the identity and historical influence of one of the world’s largest versions of Christianity. This global study of Anglicanism from the sixteenth century looks at how Anglican identity was constructed and contested at various periods since the sixteenth century; and its historical influence during the past six centuries. It explores not just the ecclesiastical and theological aspects of global Anglicanism, but also the political, social, economic, and cultural influences of this form of Christianity that
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Patel, Kiran Klaus. Germany and European Integration Since 1945. Edited by Helmut Walser Smith. Oxford University Press, 2012. http://dx.doi.org/10.1093/oxfordhb/9780199237395.013.0034.

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Germany and the integration of Europe since 1945 is the main focus of this article. Finding its place in Europe and defining what its Europe should be is a leitmotif of Germany's history. Long before the twentieth century, its central position and size raised the question of how both Germany and Europe could be organized in a constructive, stable, and peaceful way that would work for Germans, as well as for their neighbors. In a basically chronological manner, this article analyzes the sea-shift in Germany's relationship to Europe since 1945, understanding ‘Europe’ not as a vague cultural or g
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Youngjoon, Kwon. Contract Formation and Third Party Beneficiaries in Korea. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198808114.003.0014.

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This chapter 14 discusses the rules on contract formation and third party beneficiaries in Korea. These can be found in the Korean Civil Code of 1960 that is closely modelled on the Japanese Civil Code, therefore many of its solutions can be ultimately traced back to German law. For a binding contract to be made, Korean law only requires an agreement which is normally constituted by an offer and a matching acceptance; there is no requirement of consideration, and as a general rule there is freedom of form—only limited statutory exceptions impose formal requirements for specific types of contra
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Wolosky, Shira. The Bible in American Literature. Edited by Paul C. Gutjahr. Oxford University Press, 2017. http://dx.doi.org/10.1093/oxfordhb/9780190258849.013.34.

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In an America bereft of European institutions, the Bible emerged as the major shared cultural institution. It became a thread linking American history, politics, religion, and literature to each other, in both consensus and conflict; with literature itself never quite shedding its ties to biblical exegesis. American culture thus has a paradigmatic identification with biblical textuality. This begins with the Protestant groups who defined their venture to America through a specific biblical hermeneutic; then was disseminated, often with striking and startling shifts in position and interpretati
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Tollefsen, Torstein Theodor. Circumscription. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198816775.003.0003.

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The concept of circumscription is central to the iconoclast argument against the icons: if the icon is a true image of Christ, it must represent his divine as well as his human nature. If it cannot do that, the image is an idol. The divine nature is uncircumscribed, therefore an image cannot be made of it. This is the challenge Theodore tries to counter. He develops a detailed Christological position in order to show that Christ somehow must appear in this world in a concrete (circumscribed) and visible form. The chapter presents an interpretation of both iconoclast Christology and Theodore’s
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FitzGerald, Brian. The Mendicant Conflict over Prophecy: Thomas Aquinas and Peter John Olivi. Oxford University Press, 2017. http://dx.doi.org/10.1093/oso/9780198808244.003.0005.

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This chapter shows how unauthorized claims of inspiration began to take more serious form, a development which gave greater urgency to theoretical reflections about prophecy. The chapter begins with a treatment of the thought of Thomas Aquinas, who consolidated the Dominican position in opposition to the challenge of apocalyptic or eschatological prophecy found in Joachim of Fiore’s writings. Aquinas attempted to define the limits of supernatural inspiration without excluding the Holy Spirit from the contemporary Church. He emphasized that the best form of prophecy was not prediction but ‘inte
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Book chapters on the topic "Positive Definite Forms"

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Buell, Duncan A. "Reduction of Positive Definite Forms." In Binary Quadratic Forms. Springer New York, 1989. http://dx.doi.org/10.1007/978-1-4612-4542-1_2.

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Wang, Xueli, and Dingyi Pei. "Integers Represented by Positive Definite Quadratic Forms." In Modular Forms with Integral and Half-Integral Weights. Springer Berlin Heidelberg, 2012. http://dx.doi.org/10.1007/978-3-642-29302-3_10.

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Hellegouarch, Yves. "Positive definite binary quadratic forms over k[X]." In Number Theory. Springer Berlin Heidelberg, 1989. http://dx.doi.org/10.1007/bfb0086548.

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Gritzmann, Peter, and Victor Klee. "On the 0–1-Maximization of Positive Definite Quadratic Forms." In Operations Research Proceedings. Springer Berlin Heidelberg, 1989. http://dx.doi.org/10.1007/978-3-642-74862-2_61.

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Chaturvedi, S., V. Srinivasan, and R. Simon. "Canonical Forms of Positive Definite Matrices under Congruence: Extensions of the Schweinler-Wigner Extremum Principle." In Frontiers of Fundamental Physics 4. Springer US, 2001. http://dx.doi.org/10.1007/978-1-4615-1339-1_25.

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Herberthson, Magnus, Evren Özarslan, and Carl-Fredrik Westin. "Variance Measures for Symmetric Positive (Semi-) Definite Tensors in Two Dimensions." In Mathematics and Visualization. Springer International Publishing, 2021. http://dx.doi.org/10.1007/978-3-030-56215-1_1.

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AbstractCalculating the variance of a family of tensors, each represented by a symmetric positive semi-definite second order tensor/matrix, involves the formation of a fourth order tensor $$R_{abcd}$$ R abcd . To form this tensor, the tensor product of each second order tensor with itself is formed, and these products are then summed, giving the tensor $$R_{abcd}$$ R abcd the same symmetry properties as the elasticity tensor in continuum mechanics. This tensor has been studied with respect to many properties: representations, invariants, decomposition, the equivalence problem et cetera. In this paper we focus on the two-dimensional case where we give a set of invariants which ensures equivalence of two such fourth order tensors $$R_{abcd}$$ R abcd and $$\widetilde{R}_{abcd}$$ R ~ abcd . In terms of components, such an equivalence means that components $$R_{ijkl}$$ R ijkl of the first tensor will transform into the components $$\widetilde{R}_{ijkl}$$ R ~ ijkl of the second tensor for some change of the coordinate system.
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von Weizsäcker, Carl Christian, and Hagen M. Krämer. "Real Capital." In Saving and Investment in the Twenty-First Century. Springer International Publishing, 2021. http://dx.doi.org/10.1007/978-3-030-75031-2_4.

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AbstractPreshaped by the influence of Marx, Böhm-Bawerk and modern neoclassical economics, the general opinion is that the marginal product of capital must always be positive. With the help of the “period of production” T, we define a coefficient of intertemporal substitutionψ that is always non-negative. It can also be used when the real interest rate is negative. With the help of the concept of the “waiting period” Z, we can also define an always non-negative coefficient of intertemporal substitutionγ for the household side. The “loss formula” for deviations of the rate of interest from the growth rate is one application of ψ and γ. Ω = (ψT2 + γZ2)(r − g)2/2 provides a good approximation of the relative loss Ω. Overcomplexity of the system of production leads to negative marginal returns on capital. It can be empirically presumed that the OECD plus China region is on the cusp of overcomplexity. The hypothetical natural rate of interest in the eurozone is well into the minuses. To determine the value of the real capital of the private sector in the OECD plus China region, we use a framework of data taken from the World Inequality Database (WID.world). We have supplemented the data available there with data from other sources and adapted it to our theoretical objectives. According to our estimates, private wealth in the form of real capital in the OECD plus China region comes to approximately four times total annual consumption.
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Costa, Massimiliano, and Andrea Strano. "Boosting Entrepreneurship Capability in Work Transitions." In Employability & Competences. Firenze University Press, 2018. http://dx.doi.org/10.36253/978-88-6453-672-9.43.

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Work personalization within cognitive capitalism (Alessandrini 2013) demands universities to certify competences that can promote new forms of employability (Boffo, Federighi, Torlone 2015), connected to global network innovation (Steiner et al. 2013). Personal entrepreneurship becomes the heuristic promoter of career changes (Federighi, Torlone 2013). This enables individuals to ask new questions, to provide innovative solutions, and to create endeavours that can extend the current limits of knowledge, or define new ones (Costa 2014). Methodology: The research analysed variables and, by doing so, strengthened entrepreneurial competence (Morselli, Costa 2015; Costa, Strano 2016) from an enabling perspective, involving more than one hundred people going through a career change (Sen 2000). Based on a mixed method (Ponce, Pagán-Maldonado 2015) the research was developed over four phases: 1) Self-assessment (Pittaway, Edwards 2012) of entrepreneurial attitudes; 2) Recognition (Federighi 2014) of emerging competences from global innovation networks; 3) Reflective thinking (Mortari 2003) and switching in terms of awareness (Mezirow 2003); 4) Capability (Sen 2006) of opportunities and resources for the instigation of entrepreneurial action (Costa Strano 2016). Results: The data observed show that during career changes the development of competences is positively linked to age, education, and experience, above all when combined with enabling processes. As for entrepreneurship, training contexts in the service industry prove strategic, even if still too focused solely on the technical-informative dimension. Furthermore, the results show that entrepreneurial training (Pittaway, Edwards 2012) becomes competence that can promote action starting from resources/opportunities in various career changes (Costa 2014)
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"Representations by positive definite forms." In Quadratic Number Theory. American Mathematical Society, 2019. http://dx.doi.org/10.1090/dol/052/08.

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"Positive definite quadratic forms over ℝ." In Arithmetic of Quadratic Forms. Cambridge University Press, 1993. http://dx.doi.org/10.1017/cbo9780511666155.004.

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Conference papers on the topic "Positive Definite Forms"

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Arnold, Dirk V. "On the use of evolution strategies for optimising certain positive definite quadratic forms." In the 9th annual conference. ACM Press, 2007. http://dx.doi.org/10.1145/1276958.1277094.

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Bendsøe, Martin P., Alejandro R. Díaz, Robert Lipton, and John E. Taylor. "On the Prediction of Extremal Material Properties and Optimal Material Distribution for Multiple Loading Conditions." In ASME 1994 Design Technical Conferences collocated with the ASME 1994 International Computers in Engineering Conference and Exhibition and the ASME 1994 8th Annual Database Symposium. American Society of Mechanical Engineers, 1994. http://dx.doi.org/10.1115/detc1994-0130.

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Abstract This paper describes some recent developments that treats the simultaneous optimization of material and structure for minimum compliance. The basic idea is to represent the material properties for a linear elastic continuum in the most general form possible namely as the unrestricted set of elements of positive semi-definite constitutive tensors. The cost of resource is measured through certain invariants of the tensors, here the 2-norm or the trace of the tensors. The advantage of this general formulation is that analytical forms for the optimized material properties can be derived a
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Dennis, Brian H. "The Inverse Least-Squares Finite Element Method Applied to the Convection-Diffusion Equation." In ASME 2009 International Mechanical Engineering Congress and Exposition. ASMEDC, 2009. http://dx.doi.org/10.1115/imece2009-12083.

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A Least Squares Finite Element Method (LSFEM) formulation for the detection of unknown boundary conditions in problems governed by the steady convection-diffusion equation will be presented. The method is capable of determining temperatures, and heat fluxes in location where such quantities are unknown provided such quantities are sufficiently over-specified in other locations. For the current formulation it is assumed the velocity field is known. The current formulation is unique in that it results in a sparse square system of equations even for partial differential equations that are not sel
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Edwards, Michael G. "Symmetric Flux Continuous Positive Definite Approximation of the Elliptic Full Tensor Pressure Equation in Local Conservation Form." In SPE Reservoir Simulation Symposium. Society of Petroleum Engineers, 1995. http://dx.doi.org/10.2118/29147-ms.

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Haug, Edward J., Frederick A. Adkins, Chaoxin Charles Qiu, and Jeng Yen. "Analysis of Barriers to Control of Manipulators Within Accessible Output Sets." In ASME 1995 Design Engineering Technical Conferences collocated with the ASME 1995 15th International Computers in Engineering Conference and the ASME 1995 9th Annual Engineering Database Symposium. American Society of Mechanical Engineers, 1995. http://dx.doi.org/10.1115/detc1995-0091.

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Abstract Barriers to output control of manipulators, both in the interior and at the boundary of accessible output sets, are analyzed using first and second order Taylor approximations of the output in selected directions as functions of manipulator input. The formulation is valid for both planar and spatial manipulators, with open chain and closed loop structures, and accounts for the effects of unilateral constraints on the range of admissible control inputs. Criteria defining curves and surfaces associated with singular output control of manipulators are extended to define normals to such c
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Ruth, D. Alan, and J. Michael McCarthy. "SphinxPC: An Implementation of Four Position Synthesis for Planar and Spherical 4R Linkages." In ASME 1997 Design Engineering Technical Conferences. American Society of Mechanical Engineers, 1997. http://dx.doi.org/10.1115/detc97/dac-3860.

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Abstract This paper presents the basic theory and algorithmic structure of a design system that implements four position synthesis for both planar and spherical four bar linkages. The formalism uses complex numbers to define the equation of a planar triangle and quaternions to define the equation of a spherical triangle. These equations form the basis of a parallel implementation of these design theories. The theory and major functional components of SphinxPC are described and examples are presented.
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Fontão, Awdren, and Arilo Claudio Dias-Neto. "MSECO-CERT: Uma Abordagem Baseada em Processo para Apoiar a Certificação de Apps em Ecossistema de Software Móvel." In XXX Concurso de Teses e Dissertações da SBC. Sociedade Brasileira de Computação - SBC, 2017. http://dx.doi.org/10.5753/ctd.2017.3462.

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Em um Ecossistema de Software Móvel (MSECO), as organizações de software passaram a abrir a sua estrutura para desenvolvedores externos visando atingir metas, como o aumento do número de aplicações móveis (apps). Desta forma, a organização precisa reestruturar seus processos para lidar com desenvolvedores externos visando alcançar o desempenho esperado. No entanto, a “barreira” de qualidade provida pelo MSECO, a Loja de Apps, não define critérios que possam garantir que as apps certificadas a partir deles obtenham o desempenho desejado (ex: downloads e avaliações positivas). Assim, é necessári
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Iravani, P., and M. N. Sahinkaya. "Variable-Velocity Exponential Input Shaping for Position Controlled Robotic Systems." In ASME 2010 Dynamic Systems and Control Conference. ASMEDC, 2010. http://dx.doi.org/10.1115/dscc2010-4209.

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This paper demonstrates a new form of Input Shaping for vibration reduction applied to robotic systems that manipulate flexible loads. The method is based on using an exponential function to define asymptotic and vibration-free trajectories for the flexible system. The required control input is calculated analytically by using inverse dynamics which ensures the desired end-effector trajectory. The method is demonstrated experimentally on the control of point-to-point movements of a robotic manipulator.
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Sovizi, Javad, Aliakbar Alamdari, and Venkat N. Krovi. "A Random Matrix Approach to Manipulator Jacobian." In ASME 2013 Dynamic Systems and Control Conference. American Society of Mechanical Engineers, 2013. http://dx.doi.org/10.1115/dscc2013-3950.

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Traditional kinematic analysis of manipulators, built upon a deterministic articulated kinematic modeling often proves inadequate to capture uncertainties affecting the performance of the real robotic systems. While a probabilistic framework is necessary to characterize the system response variability, the random variable/vector based approaches are unable to effectively and efficiently characterize the system response uncertainties. Hence in this paper, we propose a random matrix formulation for the Jacobian matrix of a robotic system. It facilitates characterization of the uncertainty model
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Kumar, Rajeev, and Brian H. Dennis. "A Least-Squares Galerkin Split Finite Element Method for Compressible Navier-Stokes Equations." In ASME 2009 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. ASMEDC, 2009. http://dx.doi.org/10.1115/detc2009-87569.

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A novel finite element method is proposed that employs a least-squares method for first-order derivatives and a Galerkin method for second order derivatives, thereby avoiding the need for additional unknowns required by a pure LSFEM approach. When the unsteady form of the governing equations is used, a streamline upwinding term is introduced naturally by the least-squares method. Resulting system matrix is always symmetric and positive definite and can be solved by iterative solvers like pre-conditioned conjugate gradient method. The method is stable for convection-dominated flows and allows f
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