Relevant bibliographies by topics / Infinite

Academic literature on the topic 'Infinite'

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Published: 4 June 2021
Last updated: 29 July 2024

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Journal articles on the topic "Infinite"

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Деев, Г. Е., and С. В. Ермаков. "Bi-Infinite Calculating Automaton." Успехи кибернетики / Russian Journal of Cybernetics, no. 3(11) (September 30, 2022): 52–62. http://dx.doi.org/10.51790/2712-9942-2022-3-3-6.

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на основе свойства экстравертности построен и рассмотрен абстрактный автомат, осуществляющий умножение на 3(4) в четверичной системе счисления; помимо этого, он вычисляет бесконечное число родственных операций. Умножитель на 3(4) взят для примера из-за его простоты. Устройство бесконечно, отчего оно является, в первую очередь, объектом теоретического исследования.Тем не менее оно имеет и практическую ценность, поскольку с его помощью обнаруживаются возможности реальных вычислительных процессов. В частности, решается вопрос о максимально быстрых вычислениях. Устройство по своей конструкции необычно, т.к. представляет собой Т-образный крест двух бесконечностей: бесконечности по состояниям («горизонтальная» бесконечность) и бесконечности по входному алфавиту («вертикальная» бесконечность), откуда и проистекает название: би-бесконечный. Аналогичные би-бесконечные устройства порождаются многими другими важнейшими вычислительными устройствами. Поэтому переход к би-бесконечности позволяет осуществить углубленное проникновение в суть вычислительных процессов. Конечные срезы всех би-бесконечных устройств реализуемы в В-технологии. using the concept of extroversion, we designed and studied an abstract automaton that performs multiplication by 3(4) in the quadratic number system; besides, it computes an infinite number of related operations. The multiplier by 3(4) is used as an example for simplicity. The device is infinite, so the research is mostly theoretical. Nevertheless, it also has some practical value because it reveals the capabilities of real-life computational processes. In particular, it helps find the fastest possible calculations. The device design is unusual. It is a T-shaped cross of two infinities: the infinity of the states (“horizontal”) and the infinity of the input alphabet (“vertical”). That is why the name: bi-infinity automation. Similar bi-infinite devices are generated by many other critical computing devices. Therefore, the transition to bi-infinity helps better understand the essence of computational processes. B-technology can implement some finite slices of each bi-infinite device.
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Holub, Štěpán. "Words with unbounded periodicity complexity." International Journal of Algebra and Computation 24, no. 06 (September 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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Love, William P. "Infinity: The Twilight Zone of Mathematics." Mathematics Teacher 82, no. 4 (April 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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Friedlander, Alex. "Stories about Never-Ending Sums." Mathematics Teaching in the Middle School 15, no. 5 (December 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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Wood, Daniel A. "On the Implications of the Idea of Infinity for Postmodern Fundamental Theology." Pacifica: Australasian Theological Studies 25, no. 1 (February 2012): 67–81. http://dx.doi.org/10.1177/1030570x1202500106.

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This essay provides a dimensional analysis of the various manners in which mathematics, phenomenology, and theology claim to make present or mediate infinity. Edmund Husserl's 1935 lecture, Philosophy and the Crisis of European Humanity, because engaged with each discipline to various degrees, will function as our primary, preparatory text. Husserl's discussion of the ideal objects of mathematics and the Greek attitude will call for further analysis of the relation between mathematics and infinity. Similarly, intentional infinities, insofar as related to transcendental phenomenology, will be compared to Jean-Luc Marion's distinct phenomenology of the icon. Next, the ways in which the infinite God is conceptualised by Husserl and Marion will be juxtaposed in order to demonstrate their disparate, theological thinking. Finally, the notion of multiple infinities will be analogically extended from set theory to the discursive wholes of mathematics, phenomenology, and theology in order to suggest a novel understanding of the role of the infinite within postmodern fundamental theology.
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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 (November 9, 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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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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Strydom, Piet. "Infinity, infinite processes and limit concepts." Philosophy & Social Criticism 43, no. 8 (August 29, 2017): 793–811. http://dx.doi.org/10.1177/0191453717692845.

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Sabatier, Jocelyn. "Fractional Order Models Are Doubly Infinite Dimensional Models and thus of Infinite Memory: Consequences on Initialization and Some Solutions." Symmetry 13, no. 6 (June 21, 2021): 1099. http://dx.doi.org/10.3390/sym13061099.

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Using a small number of mathematical transformations, this article examines the nature of fractional models described by fractional differential equations or pseudo state space descriptions. Computation of the impulse response of a fractional model using the Cauchy method shows that they exhibit infinitely small and high time constants. This impulse response can be rewritten as a diffusive representation whose Fourier transform permits a representation of a fractional model by a diffusion equation in an infinite space domain. Fractional models can thus be viewed as doubly infinite dimensional models: infinite as distributed with a distribution in an infinite domain. This infinite domain or the infinitely large time constants of the impulse response reveal a property intrinsic to fractional models: their infinite memory. Solutions to generate fractional behaviors without infinite memory are finally proposed.
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Magnot, Jean-Pierre. "The Mean Value for Infinite Volume Measures, Infinite Products, and Heuristic Infinite Dimensional Lebesgue Measures." Journal of Mathematics 2017 (2017): 1–14. http://dx.doi.org/10.1155/2017/9853672.

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One of the goals of this article is to describe a setting adapted to the description of means (normalized integrals or invariant means) on an infinite product of measured spaces with infinite measure and of the concentration property on metric measured spaces, inspired from classical examples of means. In some cases, we get a linear extension of the limit at infinity. Then, the mean value on an infinite product is defined, first for cylindrical functions and secondly taking the uniform limit. Finally, the mean value for the heuristic Lebesgue measure on a separable infinite dimensional topological vector space (e.g., on a Hilbert space) is defined. This last object, which is not the classical infinite dimensional Lebesgue measure but its “normalized” version, is shown to be invariant under translation, scaling, and restriction.
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Dissertations / Theses on the topic "Infinite"

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Widmer, Steven. "Topics in word complexity." Thesis, Lyon 1, 2010. http://www.theses.fr/2010LYO10287/document.

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Les principaux sujets d'intérêt de cette thèse concerneront deux notions de la complexité d'un mot infini : la complexité abélienne et la complexité de permutation. La complexité abélienne a été étudiée durant les dernières décennies. La complexité de permutation est, elle, une forme de complexité des mots relativement nouvelle qui associe à chaque mot apériodique de manière naturelle une permutation infinie. Nous nous pencherons sur deux sujets dans le domaine de la complexité abélienne. Dans un premier temps, nous nous intéresserons à une notion abélienne de la maximal pattern complexity définie par T. Kamae. Deuxièmement, nous analyserons une limite supérieure de cette complexité pour les mots C-équilibré. Dans le domaine de la complexité de permutation des mots apériodiques binaires, nous établissons une formule pour la complexité de permutation du mot de Thue-Morse, conjecturée par Makarov, en étudiant la combinatoire des sous-permutations sous l'action du morphisme de Thue-Morse. Par la suite, nous donnons une méthode générale pour calculer la complexité de permutation de l'image de certains mots sous l'application du morphisme du doublement des lettres. Finalement, nous déterminons la complexité de permutation de l'image du mot de Thue-Morse et d'un mot Sturmien sous l'application du morphisme du doublement des lettres
The main topics of interest in this thesis will be two types of complexity, abelian complexity and permutation complexity. Abelian complexity has been investigated over the past decades. Permutation complexity is a relatively new type of word complexity which investigates lexicographical ordering of shifts of an aperiodic word. We will investigate two topics in the area of abelian complexity. Firstly we will consider an abelian variation of maximal pattern complexity. Secondly we consider an upper bound for words with the C-balance property. In the area of permutation complexity, we compute the permutation complexity function for a number of words. A formula for the complexity of Thue-Morse word is established by studying patterns in subpermutations and the action of the Thue-Morse morphism on the subpermutations. We then give a method to calculate the complexity of the image of certain words under the doubling map. The permutation complexity function of the image of the Thue-Morse word under the doubling map and the image of a Sturmian word under the doubling map are established
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Wierst, Pauline Manninne Anna van. "Paradoxes of the applied infinite : infinite idealizations in Physics." Doctoral thesis, Scuola Normale Superiore, 2018. http://hdl.handle.net/11384/86153.

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Ye, Jinglong. "Infinite semipositone systems." Diss., Mississippi State : Mississippi State University, 2009. http://library.msstate.edu/etd/show.asp?etd=etd-07072009-132254.

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Hernon, Hiatt K. "INFINITE JEST 2." Ohio University Honors Tutorial College / OhioLINK, 2018. http://rave.ohiolink.edu/etdc/view?acc_num=ouhonors1526633419508737.

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Aurand, Eric William. "Infinite Planar Graphs." Thesis, University of North Texas, 2000. https://digital.library.unt.edu/ark:/67531/metadc2545/.

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How many equivalence classes of geodesic rays does a graph contain? How many bounded automorphisms does a planar graph have? Neimayer and Watkins studied these two questions and answered them for a certain class of graphs. Using the concept of excess of a vertex, the class of graphs that Neimayer and Watkins studied are extended to include graphs with positive excess at each vertex. The results of this paper show that there are an uncountable number of geodesic fibers for graphs in this extended class and that for any graph in this extended class the only bounded automorphism is the identity automorphism.
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Penrod, Keith. "Infinite product groups /." Diss., CLICK HERE for online access, 2007. http://contentdm.lib.byu.edu/ETD/image/etd1977.pdf.

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Penrod, Keith G. "Infinite Product Group." BYU ScholarsArchive, 2007. https://scholarsarchive.byu.edu/etd/976.

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The theory of infinite multiplication has been studied in the case of the Hawaiian earring group, and has been seen to simplify the description of that group. In this paper we try to extend the theory of infinite multiplication to other groups and give a few examples of how this can be done. In particular, we discuss the theory as applied to symmetric groups and braid groups. We also give an equivalent definition to K. Eda's infinitary product as the fundamental group of a modified wedge product.
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Miraftab, Babak [Verfasser], and Reinhard [Akademischer Betreuer] Diestel. "On infinite graphs and infinite groups / Babak Miraftab ; Betreuer: Reinhard Diestel." Hamburg : Staats- und Universitätsbibliothek Hamburg, 2019. http://d-nb.info/1196295921/34.

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Lemonidis, Panayiotis. "Global optimization algorithms for semi-infinite and generalized semi-infinite programs." Thesis, Massachusetts Institute of Technology, 2008. http://hdl.handle.net/1721.1/43200.

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Thesis (Ph. D.)--Massachusetts Institute of Technology, Dept. of Chemical Engineering, 2008.
Includes bibliographical references (p. 235-249).
The goals of this thesis are the development of global optimization algorithms for semi-infinite and generalized semi-infinite programs and the application of these algorithms to kinetic model reduction. The outstanding issue with semi-infinite programming (SIP) was a methodology that could provide a certificate of global optimality on finite termination for SIP with nonconvex functions participating. We have developed the first methodology that can generate guaranteed feasible points for SIP and provide e-global optimality on finite termination. The algorithm has been implemented in a branch-and-bound (B&B) framework and uses discretization coupled with convexification for the lower bounding problem and the interval constrained reformulation for the upper bounding problem. Within the framework of SIP we have also proposed a number of feasible-point methods that all rely on the same basic principle; the relaxation of the lower-level problem causes a restriction of the outer problem and vice versa. All these methodologies were tested using the Watson test set. It was concluded that the concave overestimation of the SIP constraint using McCormcick relaxations and a KKT treatment of the resulting expression is the most computationally expensive method but provides tighter bounds than the interval constrained reformulation or a concave overestimator of the SIP constraint followed by linearization. All methods can work very efficiently for small problems (1-3 parameters) but suffer from the drawback that in order to converge to the global solution value the parameter set needs to subdivided. Therefore, for problems with more than 4 parameters, intractable subproblems arise very high in the B&B tree and render global solution of the whole problem infeasible.
(cont.) The second contribution of the thesis was the development of the first finite procedure that generates guaranteed feasible points and a certificate of e-global optimality for generalized semi-infinite programs (GSIP) with nonconvex functions participating. The algorithm employs interval extensions on the lower-level inequality constraints and then uses discretization and the interval constrained reformulation for the lower and upper bounding subproblems, respectively. We have demonstrated that our method can handle the irregular behavior of GSIP, such as the non-closedness of the feasible set, the existence of re-entrant corner points, the infimum not being attained and above all, problems with nonconvex functions participating. Finally, we have proposed an extensive test set consisting of both literature an original examples. Similar to the case of SIP, to guarantee e-convergence the parameter set needs to be subdivided and therefore, only small examples (1-3 parameters) can be handled in this framework in reasonable computational times (at present). The final contribution of the thesis was the development of techniques to provide optimal ranges of valid reduction between full and reduced kinetic models. First of all, we demonstrated that kinetic model reduction is a design centering problem and explored alternative optimization formulations such as SIP, GSIP and bilevel programming. Secondly, we showed that our SIP and GSIP techniques are probably not capable of handling large-scale systems, even if kinetic model reduction has a very special structure, because of the need for subdivision which leads to an explosion in the number of constraints. Finally, we propose alternative ways of estimating feasible regions of valid reduction using interval theory, critical points and line minimization.
by Panayiotis Lemonidis.
Ph.D.
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Miraftab, Babak Verfasser], and Reinhard [Akademischer Betreuer] [Diestel. "On infinite graphs and infinite groups / Babak Miraftab ; Betreuer: Reinhard Diestel." Hamburg : Staats- und Universitätsbibliothek Hamburg, 2019. http://nbn-resolving.de/urn:nbn:de:gbv:18-99812.

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Books on the topic "Infinite"

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

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Bianco, Gabriella. Infinitas lunas, infinitos soles: Autobiografía literaria y poética = infinite moons, infinite suns. Buenos Aires: Editorial Dunken, 2010.

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

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Shih, Cheng-yen. Infinite teachings, infinite meanings. Edited by Jing Si Publications and Tzu Chi Publisitorial Team. Taipei: Jing Si Publications Co., Ltd., 2015.

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Meadows, Jodi. Infinite. New York: Katherine Tegen Books/HarperCollins, 2014.

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Fabian, Karina L. Infinite space, infinite God II. Kingsport, Tenn: Twilight Times Books, 2010.

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Infinitas lunas, infinitos soles: Infinite Moons, Infinite Suns. Argentina: Editorial Dunken - Buenos Aires, 2010.

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Brown, E., and Marian Osborne. Infinite Infinity Omnibus. Independently Published, 2019.

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Grignolo, Maura. Infinite Volte Infinito. Independently Published, 2017.

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Grignolo, Maura. Infinite Volte Infinito. Independently Published, 2017.

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Book chapters on the topic "Infinite"

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Martín-Vide, Carlos. "Infinitely Many Infinities." In Finite Versus Infinite, 217–30. London: Springer London, 2000. http://dx.doi.org/10.1007/978-1-4471-0751-4_14.

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Milner, E. C. "Infinite Sets and Infinite Graphs." In Graphs and Order, 559–65. Dordrecht: Springer Netherlands, 1985. http://dx.doi.org/10.1007/978-94-009-5315-4_22.

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Pólya, George, and Gabor Szegö. "Infinite Series and Infinite Sequences." In Problems and Theorems in Analysis I, 173–229. Berlin, Heidelberg: Springer Berlin Heidelberg, 1998. http://dx.doi.org/10.1007/978-3-642-61983-0_16.

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Protter, Murray H., and Charles B. Morrey. "Infinite Sequences and Infinite Series." In A First Course in Real Analysis, 211–62. New York, NY: Springer New York, 1991. http://dx.doi.org/10.1007/978-1-4419-8744-0_9.

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Chen, Yiyun, and Michael J. O'Donnell. "Infinite terms and infinite rewritings." In Conditional and Typed Rewriting Systems, 115–26. Berlin, Heidelberg: Springer Berlin Heidelberg, 1991. http://dx.doi.org/10.1007/3-540-54317-1_84.

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Turner, Pamela Taylor. "Auspicious Beginnings." In Infinite Animation, 1–17. Boca Raton, FL : CRC Press, Taylor & Francis Group, 2019.: CRC Press, 2019. http://dx.doi.org/10.1201/9781351209397-1.

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Turner, Pamela Taylor. "Transitions." In Infinite Animation, 19–41. Boca Raton, FL : CRC Press, Taylor & Francis Group, 2019.: CRC Press, 2019. http://dx.doi.org/10.1201/9781351209397-2.

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Turner, Pamela Taylor. "The “Idealistic Young Mystic” at Antioch College." In Infinite Animation, 43–57. Boca Raton, FL : CRC Press, Taylor & Francis Group, 2019.: CRC Press, 2019. http://dx.doi.org/10.1201/9781351209397-3.

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Turner, Pamela Taylor. "Two Letters and a New School." In Infinite Animation, 59–89. Boca Raton, FL : CRC Press, Taylor & Francis Group, 2019.: CRC Press, 2019. http://dx.doi.org/10.1201/9781351209397-4.

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Turner, Pamela Taylor. "The Evolving Artist in Eden." In Infinite Animation, 91–110. Boca Raton, FL : CRC Press, Taylor & Francis Group, 2019.: CRC Press, 2019. http://dx.doi.org/10.1201/9781351209397-5.

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Conference papers on the topic "Infinite"

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Hazelden, K. "Infinite Infants." In Visual Languages and Human-Centric Computing (VL/HCC'06). IEEE, 2006. http://dx.doi.org/10.1109/vlhcc.2006.26.

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Nagao, Ryohei, Keigo Matsumoto, Takuji Narumi, Tomohiro Tanikawa, and Michitaka Hirose. "Infinite stairs." In SIGGRAPH '17: Special Interest Group on Computer Graphics and Interactive Techniques Conference. New York, NY, USA: ACM, 2017. http://dx.doi.org/10.1145/3084822.3084838.

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Tsuchiya, A., T. Eguchi, and M. Jimbo. "Infinite Analysis." In RIMS PROJECT 1991. WORLD SCIENTIFIC, 1992. http://dx.doi.org/10.1142/9789812798282.

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Mikesh, Elizabeth, and Barba Aldis Patton. "Infinite Learning." In London International Conference on Education. Infonomics Society, 2021. http://dx.doi.org/10.20533/lice.2021.0012.

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Deng, Xiaotie, and Sanjeev Mahajan. "Infinite games." In the twenty-third annual ACM symposium. New York, New York, USA: ACM Press, 1991. http://dx.doi.org/10.1145/103418.103451.

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Ho, Xavier, and Stephen Krol. "Infinite Colours." In SA Art Gallery '23: ACM SIGGRAPH Asia 2023 Art Gallery. New York, NY, USA: ACM, 2023. http://dx.doi.org/10.1145/3610537.3622958.

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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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Martins, Pedro Henrique, Zita Marinho, and Andre Martins. "∞-former: Infinite Memory Transformer-former: Infinite Memory Transformer." In Proceedings of the 60th Annual Meeting of the Association for Computational Linguistics (Volume 1: Long Papers). Stroudsburg, PA, USA: Association for Computational Linguistics, 2022. http://dx.doi.org/10.18653/v1/2022.acl-long.375.

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Inoue, Seiichi, Mamoru Komachi, Toshinobu Ogiso, Hiroya Takamura, and Daichi Mochihashi. "Infinite SCAN: An Infinite Model of Diachronic Semantic Change." In Proceedings of the 2022 Conference on Empirical Methods in Natural Language Processing. Stroudsburg, PA, USA: Association for Computational Linguistics, 2022. http://dx.doi.org/10.18653/v1/2022.emnlp-main.104.

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Reports on the topic "Infinite"

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Choi, Sun Young. Infinite symmetry. Ames: Iowa State University, Digital Repository, September 2016. http://dx.doi.org/10.31274/itaa_proceedings-180814-1591.

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Hu, Hui. Semi-Infinite Programming. Fort Belvoir, VA: Defense Technical Information Center, March 1989. http://dx.doi.org/10.21236/ada207403.

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Nagle, J. On Packet Switches With Infinite Storage. RFC Editor, December 1985. http://dx.doi.org/10.17487/rfc0970.

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Christey, S. The Infinite Monkey Protocol Suite (IMPS). RFC Editor, April 2000. http://dx.doi.org/10.17487/rfc2795.

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Maqsood, Elham, and King Abdul. Alom wa Ebnatoha in Infinite Blue. Ames: Iowa State University, Digital Repository, 2014. http://dx.doi.org/10.31274/itaa_proceedings-180814-987.

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Freyberger, Joachim, and Matthew Masten. Compactness of infinite dimensional parameter spaces. Institute for Fiscal Studies, January 2016. http://dx.doi.org/10.1920/wp.cem.2016.0116.

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7

Kocherlakota, Narayana. Infinite Debt Rollover in Stochastic Economies. Cambridge, MA: National Bureau of Economic Research, August 2022. http://dx.doi.org/10.3386/w30409.

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Demkowicz, L., and Jie Shen. A Few New (?) Facts About Infinite Elements. Fort Belvoir, VA: Defense Technical Information Center, January 2005. http://dx.doi.org/10.21236/ada437980.

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Sandstede, Bjorn. Geometric Methods for Infinite-Dimensional Dynamical Systems. Fort Belvoir, VA: Defense Technical Information Center, August 2012. http://dx.doi.org/10.21236/ada566477.

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Ito, K., and F. Kappel. Approximation of Infinite Delay and Volterra Type Equations. Fort Belvoir, VA: Defense Technical Information Center, September 1986. http://dx.doi.org/10.21236/ada177116.

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