Academic literature on the topic 'Infinity'

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Journal articles on the topic "Infinity"

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Love, William P. "Infinity: The Twilight Zone of Mathematics." Mathematics Teacher 82, no. 4 (1989): 284–92. http://dx.doi.org/10.5951/mt.82.4.0284.

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The concept of infinity has fascinated the human race for thousands of years. Who among us has never been awed by the mysterious and often paradoxical nature of the infinite? The ancient Greeks were fascinated by infinity, and they struggled with its nature. They left for us many unanswered questions including Zeno's famous paradoxes. The concept of infinity is with us today, and many ideas in modern mathematics are dependent on the infinitely large or the infinitely small. But most people's ideas about infinity are very vague and unclear, existing in that fuzzy realm of the twilight zone
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Hong, Zhang. "On Hegel’s View of Dialectical Infinity." Journal of Research in Philosophy and History 6, no. 1 (2023): p8. http://dx.doi.org/10.22158/jrph.v6n1p8.

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It is well known that the problem of finity and infinity is the basic problem of mathematics, and it is also the basic problem of Philosophy. From the perspective of philosophy and mathematics, this paper comprehensively reviews and analyzes Hegel’s view of dialectical infinity, introduces Engels’discussion on infinity, deeply analyzes the characteristics of the thought of actual infinity, and points out: Hegel’s thought of real infinity is completely different from the thought of actual infinity, the Being of infinity (objective infinity) is not equal to the completed infinity (subjective infinity), the mathematical limit is a real infinity, and real infinity is the inner law of infinite things and truth; the view of actual infinity views the objective material world from the viewpoint of static rather than motion, denying the contradiction between finity and infinity, so it is actually a downright idealist. In this paper, the author puts forward the Infinite Exchange Paradox, which strongly questions the idea of actual infinity in Hilbert Hotel Problem, and points out the internal irreconcilable contradiction in the idea of actual infinity. At the same time, we made a detailed comparison of Hegel’s view of infinity and the view of mathematical infinity, and on this basis, the author gives a complete definition of the view of dialectical infinity: abandoning the wrong aspects of the potential infinity and actual infinity, and actively absorbing correct aspects of both, that is, not only to recognize the existence and knowability of infinite objectivity, but also to admit the imcompletion of infinite process. The reexcavation of Hegel’s view of dialectical infinity and the criticism of the actual infinity thought aim to find possible philosophical solutions for Russell’s Paradox and the problem of Continuum Hypothesis.
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Katz, Mikhail, David Sherry, and Monica Ugaglia. "When Does a Hyperbola Meet Its Asymptote? Bounded Infinities, Fictions, and Contradictions in Leibniz." Revista Latinoamericana de Filosofía 49, no. 2 (2023): 241–58. http://dx.doi.org/10.36446/rlf2023359.

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In his 1676 text De Quadratura Arithmetica, Leibniz distinguished infinita terminata from infinita interminata. The text also deals with the notion, originating with Desargues, of the point of intersection at infinite distance for parallel lines. We examine contrasting interpretations of these notions in the context of Leibniz’s analysis of asymptotes for logarithmic curves and hyperbolas. We point out difficulties that arise due to conflating these notions of infinity. As noted by Rodríguez Hurtado et al., a significant difference exists between the Cartesian model of magnitudes and Leibniz’s search for a qualitative model for studying perspective, including ideal points at infinity. We show how respecting the distinction between these notions enables a consistent interpretation thereof.
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Holub, Štěpán. "Words with unbounded periodicity complexity." International Journal of Algebra and Computation 24, no. 06 (2014): 827–36. http://dx.doi.org/10.1142/s0218196714500362.

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If an infinite non-periodic word is uniformly recurrent or is of bounded repetition, then the limit of its periodicity complexity is infinity. Moreover, there are uniformly recurrent words with the periodicity complexity arbitrarily high at infinitely many positions.
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Burgin, Mark. "Introduction to Hyperspaces." International Journal of Pure Mathematics 7 (February 8, 2021): 36–42. http://dx.doi.org/10.46300/91019.2020.7.5.

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The development of mathematics brought mathematicians to infinite structures. This process started with transcendent real numbers and infinite sequences going through infinite series to transfinite numbers to nonstandard numbers to hypernumbers. From mathematics, infinity came to physics where physicists have been trying to get rid of infinity inventing a variety of techniques for doing this. In contrast to this, mathematicians as well as some physicists suggested ways to work with infinity introducing new mathematical structures such distributions and extrafunctions. The goal of this paper is to extend mathematical tools for treating infinity by considering hyperspaces and developing their theory.
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Friedlander, Alex. "Stories about Never-Ending Sums." Mathematics Teaching in the Middle School 15, no. 5 (2009): 274–80. http://dx.doi.org/10.5951/mtms.15.5.0274.

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Infinity and infinitely small numbers pique the curiosity of middle school students. Examples such as the story of Achilles and the Tortoise promote questions about domain, representations, and infinite sums–all of which may not get answered until students reach high school.
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Heng, Zeyu. "All, One, Infinite: The Interpenetration and Opposition Between the Conceptual and Subjective Empirical Aspects of Mathematics." Highlights in Science, Engineering and Technology 88 (March 29, 2024): 228–35. http://dx.doi.org/10.54097/bga5n985.

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The philosophical exploration of the concepts of unity and infinity has always had a significant influence on mathematicians. Hegel posits that the achievement and realization of the infinite state of completeness within the finite realm is contingent upon the use of pure intellect and conceptual frameworks, rather than relying on perceptual intuition. Similar to Hilbert's exploration of the concept of infinity in his dissertation On the Infinite, it may be seen that the actualization of infinity is unattainable in reality. Instead, the finite can only comprehend and achieve infinity via abstract and purely conceptual reasoning, rather than through any kind of perceptual experience of the physical world. Hence, the attribute of ultimate perfection characterizes the concept of "true infinity," but any attempt to attain such perfection within limited boundaries is certain to be unsuccessful. This study delves into the exploration of the historical beginnings of the concept of infinity in the field of mathematics. The concept of absolute perfection is unattainable in the real world due to its reliance on the presence of infinite entities.
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Ginzburg, Tatiana. "Paradoxes Of Infinity And Foundations Of Transpersonal Psychology." Integral Transpersonal Journal 6, no. 6 (2015): 60–71. http://dx.doi.org/10.32031/itibte_itj_6-g2.

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Transpersonal psychology’s uniqueness comes from the point of infinity of the psyche, as the subject of the field. Jung being one of the predecessors of transpersonal psychology confirms the infinity of the psyche very clearly. But this has created another problem. What are the borders of the subject if it is infinite? And if psyche is infinite, how can we grasp it as whole? Can it be fully cognized? Or to give the opposite point of view, is it unknowable? In the search for the borders of the subject of transpersonal psychology, we are attempting to reflect on the paradoxes of infinity. As it turns out, the concept of “actual infinity” (opened by Georg Cantor in the late 19th century) allow us to create a new perspective in solving the infinity problems in psychology. The question arises that if the psyche is infinite, can the psyche be cognized? The idea of psyche being actually infinite allows us to resolve the issue of cognizability of the psyche in principle. This issue is whether a possibility exists for a person to complete the process of self-exploration. Such a solution may lay a new foundation for Transpersonal Psychology on a non-classical scientific basis. KEYWORDS Infinity, transpersonal psychology, self-exploration, enlightenment, perfection, unknowability, knowability,cognizability
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Salanskis, Jean-Michel. "Ways of Infinity." Studies in Logic, Grammar and Rhetoric 44, no. 1 (2016): 169–80. http://dx.doi.org/10.1515/slgr-2016-0010.

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Abstract The paper discusses analogies between the way in which infinity is understood and dealt with in mathematics and in Jewish tradition. It begins with recalling the classical debate about infinity in the field of the foundations of mathematics. Reading an important paper by A. Robinson, we come to the conclusion that mathematicians work “as if” infinite totalities existed. They do so by following the rules of their formalized discourse which, at least if it refers to anything at all, also refers to such totalities. The paper describes how, according to Jewish tradition, infinity is also not theological: instead of thinking that they own some infinite being or relate to it, observant Jews follow Jewish law. The analogy is then extended to what is called ‘epistemological infinity’. The paper shows that both in mathematics and in Judaism, we get some epistemological experience of infinity, as far as both Talmudic knowledge and contemporary mathematical encyclopedia are experienced as inexhaustible sources of new thoughts, structures, ideas, developments.
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Sergeyev, Ya D. "A new look at infinitely large and infinitely small quantities: Methodological foundations and practical calculations with these numbers on a computer." Informatics and education, no. 8 (December 5, 2021): 5–22. http://dx.doi.org/10.32517/0234-0453-2021-36-8-5-22.

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This article describes a recently proposed methodology that allows one to work with infinitely large and infinitely small quantities on a computer. The approach uses a number of ideas that bring it closer to modern physics, in particular, the relativity of mathematical knowledge and its dependence on the tools used by mathematicians in their studies are discussed. It is shown that the emergence of new computational tools influences the way we perceive traditional mathematical objects, and also helps to discover new interesting objects and problems. It is discussed that many difficulties and paradoxes regarding infinity do not depend on its nature, but are the result of the weakness of the traditional numeral systems used to work with infinitely large and infinitely small quantities. A numeral system is proposed that not only allows one to work with these quantities analytically in a simpler and more intuitive way, but also makes possible practical calculations on the Infinity Computer, patented in a number of countries. Examples of measuring infinite sets with the accuracy of one element are given and it is shown that the new methodology avoids the appearance of some well-known paradoxes associated with infinity. Examples of solving a number of computational problems are given and some results of teaching the described methodology in Italy and Great Britain are discussed.
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Dissertations / Theses on the topic "Infinity"

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Borges, Bruno Andrade. "O infinito na matemática." Universidade de São Paulo, 2014. http://www.teses.usp.br/teses/disponiveis/55/55136/tde-08042015-143010/.

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Nesta dissertação, abordaremos os dois tipos de infinitos existentes: o infinito potencial e o infinito actual. Apresentaremos algumas situações, exemplos que caracterizam cada um desses dois tipos. Focaremo-nos no infinito actual, com o qual discutiremos alguns dos desafios encontrados na teoria criada por Cantor sobre este assunto. Mostraremos também sua importância e a diferença entre este e o infinito potencial. Com isso, buscamos fazer com que o professor compreenda adequadamente os fundamentos matemáticos necessários para que trabalhe, ensine e motive apropriadamente seus alunos no momento em que o infinito e conjuntos infinitos são discutidos em aula. Desta forma, buscamos esclarecer os termos usados e equívocos comuns cometidos por alunos e também professores, muitas vezes enganados ou confundidos pelo senso comum.<br>In this dissertation, we will discuss the two types of infinities: the potential infinity and the actual infinity. We will present some situations, examples that characterize each of these two types. We will focus on the actual infinity, with which we will discuss some of the challenges found in the theory created by Cantor on this subject. We will also show its importance and the difference between this and the potential infinity. Thus, we seek to make teachers properly understand the mathematical foundations necessary for them to work, teach and properly motivate their students at the time the infinity and infinite sets are discussed in class. In this way, we seek to clarify the terms used and common mistakes made by students and also teachers, so often misguided or confused by common sense.
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Rys, Nicholas Jon. "Infinity Lives." Bowling Green State University / OhioLINK, 2019. http://rave.ohiolink.edu/etdc/view?acc_num=bgsu1555589654630927.

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Erickson, Bryan. "Surviving Infinity." Connect to online resource, 2008. http://gateway.proquest.com/openurl?url_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:dissertation&res_dat=xri:pqdiss&rft_dat=xri:pqdiss:1456683.

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Tápias, Renan Moro. "Controle ativo de vibrações em estruturas flexíveis com incertezas paramétricas." [s.n.], 2012. http://repositorio.unicamp.br/jspui/handle/REPOSIP/264973.

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Orientador: Alberto Luiz Serpa<br>Dissertação (mestrado - Universidade Estadual de Campinas, Faculdade de Engenharia Mecânica<br>Made available in DSpace on 2018-08-20T02:35:52Z (GMT). No. of bitstreams: 1 Tapias_RenanMoro_M.pdf: 4789122 bytes, checksum: 0c921b95857d6987a5596ae935a85719 (MD5) Previous issue date: 2012<br>Resumo: Esta dissertação aborda técnicas de controle robusto H-infinito para sistemas dinâmicos lineares com incertezas paramétricas. Para obtenção do modelo da estrutura em estudo, utiliza-se o método de elementos finitos. A partir do modelo da estrutura, consideram-se incertezas paramétricas, sendo elas, na frequência natural e no fator de amortecimento. As incertezas paramétricas quando consideradas para projeto do controlador H-infinito são tratadas pela abordagem poli tópica. Essa metodologia utiliza o conceito de Desigualdades Matriciais Lineares (LMI). Ainda na fase de projeto do controlador, filtros de ponderação são utilizados para impor uma certa forma em frequência. As incertezas dos sistemas em estudo são consideradas como sendo tanto variantes como invariantes no tempo. O controlador encontrado por essa metodologia se mostrou robusto a incertezas paramétricas, garantindo estabilidade e boa atenuação de vibração dos modos considerados em projeto<br>Abstract: The aim of this dissertation is to study the H-infinity robust control techniques for linear dynamic systems with parametric uncertainties. The finite element method was employed to find the model of the flexible structure. When dealing with the model, parametric uncertainties were considered for natural frequencies and for damping of the structure. The parametric uncertainties for the H-infinity controller design are handled in the polytopic approach. This methodology uses the concept of Linear Matrix Inequalities (LMI) for the controller project. Weighting filters were used to impose desired frequency response in the controller design. Systems with uncertainties were considered variant and invariant in time. The controller found using this methodology was robust to parametric uncertainties, ensuring stability and good attenuation of vibration in design the considered modes<br>Mestrado<br>Mecanica dos Sólidos e Projeto Mecanico<br>Mestre em Engenharia Mecânica
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Sereno, Lisa Ann 1967. "Infinity and experience." Thesis, Massachusetts Institute of Technology, 1998. http://hdl.handle.net/1721.1/9700.

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Thesis (Ph.D.)--Massachusetts Institute of Technology, Dept. of Linguistics and Philosophy, February 1999.<br>Includes bibliographical references (p. 145-146).<br>This dissertation explores the relationship between our experience and knowledge of the infinite. The first chapter is a critical examination of Shaughan Lavine's project in Understanding the Infinite. Lavine argues that although we do not experience the infinite, we can explain how we acquire knowledge of the infinite by appeal to our experience of the indefinitely large. I argue that Lavine's proposal fails. In the second chapter I argue that, contrary to what Lavine and others have claimed, we can have "experiences of the infinite." In particular, I argue that we can have a perceptual illusion of an infinite sequence when we see certain pictures. In the third chapter, I argue that the experiences of the infinite discussed in the second chapter help us defend a central tenet of modal structuralism, namely the claim that there could exist infinitely many objects. In order to show that we have evidence for this modal claim, I explain how, in general, we can use pictures to establish that the depicted object could exist. I argue that upon seeing a picture, we can obtain evidence that a picture represents a "coherent" rather than an "incoherent" spatial configuration, and furthermore, that if we obtain evidence that a picture represents a coherent spatial configuration, we thereby obtain evidence that the depicted object could exist. I then use this "picture method" to show that by seeing a picture of an infinite sequence, we can obtain evidence for the modal claim that an infinite sequence could exist.<br>by Lisa Ann Sereno.<br>Ph.D.
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Малютін, Костянтин Геннадійович, Константин Геннадьевич Малютин, Kostiantyn Hennadiiovych Maliutin, and D. O. Borshchenko. "Intimations of infinity." Thesis, Видавництво СумДУ, 2011. http://essuir.sumdu.edu.ua/handle/123456789/8192.

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Ubostad, Nikolai Høiland. "The Infinity Laplace Equation." Thesis, Norges teknisk-naturvitenskapelige universitet, Institutt for matematiske fag, 2013. http://urn.kb.se/resolve?urn=urn:nbn:no:ntnu:diva-20686.

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In this thesis, we prove that the Infinity-Laplace equation has a unique solution in the viscosity sense. We prove existence by approximating the equation by the p-Laplace equation, and uniqueness will be shown by use of the Theorem on Sums. We will also show that the viscosity solutions of the Infinity-Laplace equation enjoys comparison with cones, and vice versa.
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Percival, P. R. "Infinity, knowability and understanding." Thesis, University of Cambridge, 1986. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.384322.

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Frankel, Steven. "Quasigeodesic flows from infinity." Thesis, University of Cambridge, 2013. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.608266.

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Fletcher, Peter. "Truth, proof and infinity." Thesis, University of Bristol, 1988. http://hdl.handle.net/1983/e389485b-5e1a-4f69-87a4-2dd88215f21a.

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Books on the topic "Infinity"

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Wallace, David Foster. Everything and more: A compact history of infinity. Atlas Book, 2010.

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W, Moore A. The infinite. Routledge, 1990.

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Heller, Michael, and W. Hugh Woodin, eds. Infinity. Cambridge University Press, 2009. http://dx.doi.org/10.1017/cbo9780511976889.

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Kenyon, Sherrilyn. Infinity. St. Martin's Griffin, 2010.

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Accardo, Jus. Infinity. Entangled Teen, an imprint of Entangled Publishing, LLC, 2016.

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Hickman, Jonathan. Infinity. Marvel Worldwide, Incorporated, 2014.

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Pink, U. A. Infinity. The author, 1988.

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1956-, Moore A. W., ed. Infinity. Dartmouth, 1993.

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Hackney, Philip, Marcy Robertson, and Donald Yau. Infinity Properads and Infinity Wheeled Properads. Springer International Publishing, 2015. http://dx.doi.org/10.1007/978-3-319-20547-2.

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Stewart, Ian. Infinity: A Very Short Introduction. Oxford University Press, 2017. http://dx.doi.org/10.1093/actrade/9780198755234.001.0001.

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Infinity has connections to philosophy, religion, and physics as well as mathematics. The infinitely large (infinite) is intimately related to the infinitely small (infinitesimal). Infinity: A Very Short Introduction explains the mathematical concept of infinity, its different forms, and its uses in calculus, Fourier analysis, and fractals, and also describes the philosophical aspects and debates involving infinity. It argues that working with infinity is not just an abstract, intellectual exercise, but that it is instead a concept with important practical everyday applications, and considers how mathematicians use infinity and infinitesimals to answer questions or supply techniques that do not appear to involve the infinite.
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Book chapters on the topic "Infinity"

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Weik, Martin H. "infinity." In Computer Science and Communications Dictionary. Springer US, 2000. http://dx.doi.org/10.1007/1-4020-0613-6_8899.

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Huemer, Michael. "Infinity." In Approaching Infinity. Palgrave Macmillan UK, 2016. http://dx.doi.org/10.1057/9781137560872_10.

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Crato, Nuno. "Infinity." In Figuring It Out. Springer Berlin Heidelberg, 2010. http://dx.doi.org/10.1007/978-3-642-04833-3_51.

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Bencivenga, Ermanno. "Infinity." In Theories of the Logos. Springer International Publishing, 2017. http://dx.doi.org/10.1007/978-3-319-63396-1_8.

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Franklin, James. "Infinity." In An Aristotelian Realist Philosophy of Mathematics. Palgrave Macmillan UK, 2014. http://dx.doi.org/10.1057/9781137400734_9.

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Çevik, Ahmet. "Infinity." In Philosophy of Mathematics. Chapman and Hall/CRC, 2021. http://dx.doi.org/10.1201/9781003223191-9.

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Liu, Xinyu. "Infinity." In Mathematics in Programming. Springer Nature Singapore, 2024. http://dx.doi.org/10.1007/978-981-97-2432-1_6.

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Hromkovič, Juraj. "Infinity Is Not Equal to Infinity, or Why Infinity Is Infinitely Important in Computer Science." In Algorithmic Adventures. Springer Berlin Heidelberg, 2009. http://dx.doi.org/10.1007/978-3-540-85986-4_3.

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Earl, Richard. "Taming infinity." In Mathematical Analysis: A Very Short Introduction. Oxford University PressOxford, 2023. http://dx.doi.org/10.1093/actrade/9780198868910.003.0001.

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Abstract For millennia, the topics of infinity—the infinitely large—and infinitesimals—the infinitely small—have generated paradoxes. ‘Taming infinity’ introduces some of the main questions of analysis and the need for infinite processes or ‘potential infinities’ within mathematics. Having a historical flavour, it highlights some of these paradoxes which led to a need for increased rigour. It concludes with a brief discussion of the work of Bolzano, Cauchy, and Weierstrass, who first provided a clear definition of a limit in the 19th century, and stresses the role of clarity as a basis for proving mathematical results.
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Dodds, E. R. "Text and Translation." In Proclus: The Elements of Theology. Oxford University PressOxford, 1992. http://dx.doi.org/10.1093/oso/9780198140979.003.0002.

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Abstract For suppose a manifold in no way participating unity. Neither this manifold as a whole nor any of its several parts will be one; each part will itself be a manifold of parts, and so to infinity; and of this infinity of parts each, once more, will be infinitely manifold; for a manifold which in no way participates any unity, neither as a whole nor in respect of its parts severally, will be infinite in every way and in respect of every part. For each part of the manifold—take which you will—must be either one or not-one; and if note-one, then either many or nothing. But if each part be nothing, the whole is nothing; if many, it is made up of an infinity of infinites.
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Conference papers on the topic "Infinity"

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ZHU, WUJIA, NINGSHENG GONG, and GUOPING DU. "ELEMENTARY INFINITY—THE THIRD TYPE OF INFINITY BESIDES POTENTIAL INFINITY AND ACTUAL INFINITY." In Proceedings of the 9th International FLINS Conference. WORLD SCIENTIFIC, 2010. http://dx.doi.org/10.1142/9789814324700_0027.

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Bang, Haeun (Grace). "Infinity." In Pivoting for the Pandemic. Iowa State University Digital Press, 2020. http://dx.doi.org/10.31274/itaa.11977.

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Effects, Cinesite Visual, and Ron Fricke. "infinity." In ACM SIGGRAPH 2001 video review. ACM Press, 2001. http://dx.doi.org/10.1145/945314.945338.

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Rajmohan, Kiran, R. Anand, K. K. Aiswarya, VB Akhil, and Bharath Nandakumar. "Infinity printer." In 2013 World Congress on Computer and Information Technology (WCCIT). IEEE, 2013. http://dx.doi.org/10.1109/wccit.2013.6618703.

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Stengel, Michael, Mathias Frisch, Sven Apel, Janet Feigenspan, Christian Kästner, and Raimund Dachselt. "View infinity." In Proceeding of the 33rd international conference. ACM Press, 2011. http://dx.doi.org/10.1145/1985793.1985987.

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Rajbhandari, Samyam, Olatunji Ruwase, Jeff Rasley, Shaden Smith, and Yuxiong He. "ZeRO-infinity." In SC '21: The International Conference for High Performance Computing, Networking, Storage and Analysis. ACM, 2021. http://dx.doi.org/10.1145/3458817.3476205.

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Ravi, Yashas, and Ana Paula Centeno. "Infinity War." In SIGCSE 2024: The 55th ACM Technical Symposium on Computer Science Education. ACM, 2024. http://dx.doi.org/10.1145/3626253.3635332.

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Bozinovski, Stevo, and Adrijan Bozinovski. "Artificial Intelligence and infinity: Infinite series generated by Turing Machines." In SoutheastCon 2017. IEEE, 2017. http://dx.doi.org/10.1109/secon.2017.7925371.

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Khlopin, Dmitry. "On boundary conditions at infinity for infinite horizon control problem." In 2017 Constructive Nonsmooth Analysis and Related Topics (dedicated to the memory of V.F. Demyanov) (CNSA). IEEE, 2017. http://dx.doi.org/10.1109/cnsa.2017.7973969.

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Ketata, Chefi, Mysore Satish, and M. Islam. "The Meaningful Infinity." In 2006 International Conference on Computational Inteligence for Modelling Control and Automation and International Conference on Intelligent Agents Web Technologies and International Commerce (CIMCA'06). IEEE, 2006. http://dx.doi.org/10.1109/cimca.2006.211.

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Reports on the topic "Infinity"

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Gorea, Adriana. Encapsulated Infinity. Iowa State University, Digital Repository, 2016. http://dx.doi.org/10.31274/itaa_proceedings-180814-1598.

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Berz, M. COSY INFINITY reference manual. Office of Scientific and Technical Information (OSTI), 1990. http://dx.doi.org/10.2172/6660243.

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Subrahmanyam, M. B. Finite Horizon H Infinity with Parameter Variations. Defense Technical Information Center, 1992. http://dx.doi.org/10.21236/ada252419.

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Ali, Shahbaz. H Infinity Lateral Control Of Autonomous Vehicles. ResearchHub Technologies, Inc., 2024. http://dx.doi.org/10.55277/researchhub.xisqpxsp.

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Tsoukatos, Konstantinos P., and Armand M. Makowski. Interpolation Approximations for M/G/infinity Arrival Processes. Defense Technical Information Center, 1999. http://dx.doi.org/10.21236/ada442652.

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Nealis, James, and Ralph C. Smith. H infinity Control Design for a Magnetostrictive Transducer. Defense Technical Information Center, 2003. http://dx.doi.org/10.21236/ada451951.

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Helton, J. W. H Infinity Control for Nonlinear and Linear Systems. Defense Technical Information Center, 1994. http://dx.doi.org/10.21236/ada280450.

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Tornell, Aaron. Robust-H-infinity Forecasting and Asset Pricing Anomalies. National Bureau of Economic Research, 2000. http://dx.doi.org/10.3386/w7753.

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Thompson, Andrew A. Finding a Minimum Covering Circle Based on Infinity Norms. Defense Technical Information Center, 2008. http://dx.doi.org/10.21236/ada484899.

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Tsoukatos, Konstantinos P., and Armand M. Makowski. Heavy Traffic Limits Associated With M/GI/infinity Input Processes. Defense Technical Information Center, 1997. http://dx.doi.org/10.21236/ada440821.

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