Log in

Relevant bibliographies by topics / Infinite / Journal articles

To see the other types of publications on this topic, follow the link: Infinite.

Journal articles on the topic 'Infinite'

Author: Grafiati

Published: 4 June 2021

Last updated: 25 July 2025

Create a spot-on reference in APA, MLA, Chicago, Harvard, and other styles

Select a source type:

Consult the top 50 journal articles for your research on the topic 'Infinite.'

Next to every source in the list of references, there is an 'Add to bibliography' button. Press on it, and we will generate automatically the bibliographic reference to the chosen work in the citation style you need: APA, MLA, Harvard, Chicago, Vancouver, etc.

You can also download the full text of the academic publication as pdf and read online its abstract whenever available in the metadata.

Browse journal articles on a wide variety of disciplines and organise your bibliography correctly.

1

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.

Full text

Abstract:

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.

APA, Harvard, Vancouver, ISO, and other styles

2

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.

Full text

Abstract:

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

APA, Harvard, Vancouver, ISO, and other styles

3

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.

Full text

Abstract:

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.

APA, Harvard, Vancouver, ISO, and other styles

4

Ventola, Federica. "Durand of Saint Pourçain and the actual infinite. A reflection on divine omnipotence (Super Sent., I, 43, 2)." RIVISTA DI STORIA DELLA FILOSOFIA, no. 2 (July 2024): 371–86. http://dx.doi.org/10.3280/sf2024-002002.

Full text

Abstract:

In his Commentary on the first Book of Sentences (d. 43, q. 2, red. B), Durand of Saint Pourçain (1270-1334) poses the question regarding the divine possibility of producing infinite actual things, contributing to the debate about the divine power of creating what is considered to be contradictory (actual infinity). Taking into account the philosophical and theological sources of Durand's Commentary on the issue, the article focuses on his accurate solution to the problem of God's production of actual infinites by analysing some arguments such as that of the production of the individuals of a

APA, Harvard, Vancouver, ISO, and other styles

5

Gonçalves, Márcia. "O problema da passagem do infinito para o finito nas filosofias de Schelling e Hegel." Revista Eletrônica Estudos Hegelianos 17, no. 29 (2020): 11–42. http://dx.doi.org/10.70244/reh.v17i29.402.

Full text

Abstract:

Schelling and Hegel think the relationship between the concepts of infinite and finite in a distinct way, even though they start from a common diagnosis concerning the status of philosophical systems. This difference will be responsible for the different construction of their own philosophical systems. To explore this thematic, this article will present the development of the concept of the infinite in the youth works of the two classical German philosophers, in six different parts: (1) a brief description of the young Schelling's diagnosis of the problem of the transition from the infinite to

APA, Harvard, Vancouver, ISO, and other styles

6

Thalassinakis, Emmanuel. "More Theory About Infinite Numbers and Important Applications." Mathematics 13, no. 9 (2025): 1390. https://doi.org/10.3390/math13091390.

Full text

Abstract:

In the author’s previous studies, new infinite numbers, their properties, and calculations were introduced. These infinite numbers quantify infinity and offer new possibilities for solving complicated problems in mathematics and applied sciences in which infinity appears. The current study presents additional properties and topics regarding infinite numbers, as well as a comparison between infinite numbers. In this way, complex problems with inequalities involving series of numbers, in addition to limits of functions of x ∈ ℝ and improper integrals, can be addressed and solved easily. Furtherm

APA, Harvard, Vancouver, ISO, and other styles

7

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.

Full text

Abstract:

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

APA, Harvard, Vancouver, ISO, and other styles

8

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.

Full text

Abstract:

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

APA, Harvard, Vancouver, ISO, and other styles

9

Minecan, Ana Maria C. "The limits of the created universe: Thomist assimilation of Aristotelian doctrine on the problem of infinity." Disputatio. Philosophical Research Bulletin 4, no. 5 (2015): 119–43. https://doi.org/10.5281/zenodo.3551724.

Full text

Abstract:

This article studies the influence of Aristotle’s physical treatises on the Thomist conception on the place of infinity in the created cosmos. It analizes the position held by Aquinas on four fundamental aspects of the Aristotelian theory about infinity: existence of an infinite substance, existence of an infinite body, existence of an infinite in act and the infinity of time. Is also exposed the use of the Aristotelian theory of motion and natural places by the Angelic Doctor for the refutation of every position that presents the act of creation as a temporally successive mutation and h

APA, Harvard, Vancouver, ISO, and other styles

10

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 (2021): 1099. http://dx.doi.org/10.3390/sym13061099.

Full text

Abstract:

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

APA, Harvard, Vancouver, ISO, and other styles

11

Strydom, Piet. "Infinity, infinite processes and limit concepts." Philosophy & Social Criticism 43, no. 8 (2017): 793–811. http://dx.doi.org/10.1177/0191453717692845.

Full text

APA, Harvard, Vancouver, ISO, and other styles

12

Leone, Alexandre. "O Infinito Atual em Or Hashem de Hasdai Crescas (1340 -1411)." Circumscribere: International Journal for the History of Science 25 (July 9, 2020): 1–39. http://dx.doi.org/10.23925/1980-7651.2020v25;p01-39.

Full text

Abstract:

This article focuses on the concept of the "infinite in act" of the medieval Jewish philosopher Has-dai Crescas (1340–1411), formulated in the book Or Hashem (1410) to Maimonides' first three propositions, as set out in the second part of the Guide of the Perplexed. Maimonides' theses aim to deny the possibility of the current infinite as an immaterial or material magnitude, as an infinite set of finite beings and as an infinite series of cause and effect. After a brief exposition of the trajectory of the concepts of infinity in the different Jewish wisdom traditions received in the Middle Age

APA, Harvard, Vancouver, ISO, and other styles

13

CARRARA, MASSIMILIANO, and ENRICO MARTINO. "ON THE INFINITE IN MEREOLOGY WITH PLURAL QUANTIFICATION." Review of Symbolic Logic 4, no. 1 (2010): 54–62. http://dx.doi.org/10.1017/s1755020310000158.

Full text

Abstract:

In “Mathematics is megethology,” Lewis reconstructs set theory using mereology and plural quantification (MPQ). In his recontruction he assumes from the beginning that there is an infinite plurality of atoms, whose size is equivalent to that of the set theoretical universe. Since this assumption is far beyond the basic axioms of mereology, it might seem that MPQ do not play any role in order to guarantee the existence of a large infinity of objects. However, we intend to demonstrate that mereology and plural quantification are, in some ways, particularly relevant to a certain conception of the

APA, Harvard, Vancouver, ISO, and other styles

14

Posy, Carl. "Intuition and Infinity: A Kantian Theme with Echoes in the Foundations of Mathematics." Royal Institute of Philosophy Supplement 63 (October 2008): 165–93. http://dx.doi.org/10.1017/s135824610800009x.

Full text

Abstract:

Kant says patently conflicting things about infinity and our grasp of it. Infinite space is a good case in point. In his solution to the First Antinomy, he denies that we can grasp the spatial universe as infinite, and therefore that this universe can be infinite; while in the Aesthetic he says just the opposite: ‘Space is represented as a given infinite magnitude’(A25/B39). And he rests these upon consistently opposite grounds. In the Antinomy we are told that we can have no intuitive grasp of an infinite space, and in the Aesthetic he says that our grasp of infinite space is precisely intuit

APA, Harvard, Vancouver, ISO, and other styles

15

Patel, Gaurav Singh, and Saurabh Kumar Gautam. "Ramanujan: The New Sum of All Natural Numbers." International Journal for Research in Applied Science and Engineering Technology 10, no. 2 (2022): 1272–74. http://dx.doi.org/10.22214/ijraset.2022.40511.

Full text

Abstract:

Abstract: As we know that Sir Ramanujan gave the solution of sum of all natural numbers up to infinity and said that the sum of all natural numbers till infinity is -1/12. I studied on this topic and found that if we try to solve the infinite series in a slightly different way, then we get the answer of its sum different from -1/12, so this is what I have written in this paper that such Ramanujan Sir, what was the mistake in solving the infinite series, which by solving it in a slightly different way from the same concept, we get different answers. Keywords: Ramanujan the new sum of all natura

APA, Harvard, Vancouver, ISO, and other styles

16

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.

Full text

Abstract:

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 topolog

APA, Harvard, Vancouver, ISO, and other styles

17

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.

Full text

Abstract:

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

APA, Harvard, Vancouver, ISO, and other styles

18

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.

Full text

Abstract:

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 inf

APA, Harvard, Vancouver, ISO, and other styles

19

Blanc, Jill Le. "Infinity in Theology and Mathematics." Religious Studies 29, no. 1 (1993): 51–62. http://dx.doi.org/10.1017/s0034412500022046.

Full text

Abstract:

Can we apply the same concepts to both the finite and the infinite? Is there something distinctive about the infinite that prevents attribution to it of concepts that we can attribute to the finite? If so, then this could be a reason for our difficulties in talking about God – God is infinite, and our concepts, applying, as they do, to the finite objects of our experience, cannot be ‘extended’ to the infinite. God's infinity is sometimes used as an explanation of theological difficulties like the problem of evil or the paradoxes of omnipotence: we do not really know what we mean when we attrib

APA, Harvard, Vancouver, ISO, and other styles

20

Liberato Arruda Hissa, Débora. "O design multimodal do Instagram: da barra de rolagem infinita à organicidade algoritmizada do feed de notícias." REVISTA INTERSABERES 18 (August 26, 2023): e023do1009. http://dx.doi.org/10.22169/revint.v18.e023do1009.

Full text

Abstract:

Neste artigo, problematizo o design multimodal da mídia do Instagram. Trago como aporte teórico a multimodalidade (KRESS, 2000; Van LEEUWEN, 2011), os multiletramentos (GNL, 2021; KALANTZIS, COPE e PINHEIRO, 2020), o letramento digital (HISSA, 2021a) e algumas categorias de texto, como informatividade e sequenciação (KOCH e ELIAS, 2016). Analiso vinte postagens retiradas do feed de informações de uma conta pessoal do Instagram a partir da lógica da captura de atenção (WOLF, 2019; CESARINO, 2022) por meio do recurso digital barra de rolagem infinita (infinite scroll). O resultado mostra que as

APA, Harvard, Vancouver, ISO, and other styles

21

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.

Full text

Abstract:

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 abstr

APA, Harvard, Vancouver, ISO, and other styles

22

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.

Full text

Abstract:

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 необ

APA, Harvard, Vancouver, ISO, and other styles

23

Choi, Kyeongsik. "The Perception of Repeating Decimals and Understanding of Infinite Sums of Geometric Figures among First-Year High School Students." Korean Association For Learner-Centered Curriculum And Instruction 24, no. 21 (2024): 243–56. http://dx.doi.org/10.22251/jlcci.2024.24.21.243.

Full text

Abstract:

Objectives This study investigated high school first-year students' awareness of recurring decimals and examined their understanding of infinite sums related to geometric figures and various equivalent expressions of “the same”. Methods To achieve this, we developed survey questions to assess awareness of the recurring decimal 0.333..., and created dynamic materials and worksheets introducing infinite sums of geometric figures. Additionally, we developed worksheets focusing on various equivalent expressions of “the same”. Subsequently, we conducted a survey with 33 first-year students currentl

APA, Harvard, Vancouver, ISO, and other styles

24

Le Coz, Stefan, Dong Li, and Tai-Peng Tsai. "Fast-moving finite and infinite trains of solitons for nonlinear Schrödinger equations." Proceedings of the Royal Society of Edinburgh: Section A Mathematics 145, no. 6 (2015): 1251–82. http://dx.doi.org/10.1017/s030821051500030x.

Full text

Abstract:

We study infinite soliton trains solutions of nonlinear Schrödinger equations, i.e. solutions behaving as the sum of infinitely many solitary waves at large time. Assuming the composing solitons have sufficiently large relative speeds, we prove the existence and uniqueness of such a soliton train. We also give a new construction of multi-solitons (i.e. finite trains) and prove uniqueness in an exponentially small neighbourhood, and we consider the case of solutions composed of several solitons and kinks (i.e. solutions with a non-zero background at infinity).

APA, Harvard, Vancouver, ISO, and other styles

25

Yang, Rui Liang, and Cai Xia Zhu. "Condition Number of Acoustic Infinite Element." Advanced Materials Research 181-182 (January 2011): 926–31. http://dx.doi.org/10.4028/www.scientific.net/amr.181-182.926.

Full text

Abstract:

Various shape function and weight function of infinite element are researched and summarized into eight methods, and then various infinite element methods can be summarized as general equation, the condition number of which can reflect merits of infinite method. Condition number of various methods versus frequency and the node number are calculated in this paper. Finally, most optimal infinite element method is summed up. The infinite element method [1-12] is among the most successful techniques used to solve boundary-value problems on unbounded domains and whose solutions satisfy some conditi

APA, Harvard, Vancouver, ISO, and other styles

26

Kapanadze, G. "Boundary Value Problems of Bending of A Plate for an Infinite Doubly-Connected Domain Bounded by Broken Lines." Georgian Mathematical Journal 7, no. 3 (2000): 513–21. http://dx.doi.org/10.1515/gmj.2000.513.

Full text

Abstract:

Abstract A problem of bending of a plate is considered for an infinite doubly-connected domain bounded by two convex broken lines when the plate boundary is hinge-supported and normally bending moments are applied to the points at infinity. A similar reasoning is used to study a problem of bending of a plate for an infinite domain bounded by a convex polygon and a rectilinear cut or for an infinite domain with two rectilinear cuts.

APA, Harvard, Vancouver, ISO, and other styles

27

Thalassinakis, Emmanuel. "An In-Depth Investigation of the Riemann Zeta Function Using Infinite Numbers." Mathematics 13, no. 9 (2025): 1483. https://doi.org/10.3390/math13091483.

Full text

Abstract:

This study focuses on an in-depth investigation of the Riemann zeta function. For this purpose, infinite numbers and rotational infinite numbers, which have been introduced in previous studies published by the author, are used. These numbers are a powerful tool for solving problems involving infinity that are otherwise difficult to solve. Infinite numbers are a superset of complex numbers and can be either complex numbers or some quantification of infinity. The Riemann zeta function can be written as a sum of three rotational infinite numbers, each of which represents infinity. Using these inf

APA, Harvard, Vancouver, ISO, and other styles

28

Song, Bo, and Victor O. K. Li. "A Revisit of Infinite Population Models for Evolutionary Algorithms on Continuous Optimization Problems." Evolutionary Computation 28, no. 1 (2020): 55–85. http://dx.doi.org/10.1162/evco_a_00249.

Full text

Abstract:

Infinite population models are important tools for studying population dynamics of evolutionary algorithms. They describe how the distributions of populations change between consecutive generations. In general, infinite population models are derived from Markov chains by exploiting symmetries between individuals in the population and analyzing the limit as the population size goes to infinity. In this article, we study the theoretical foundations of infinite population models of evolutionary algorithms on continuous optimization problems. First, we show that the convergence proofs in a widely

APA, Harvard, Vancouver, ISO, and other styles

29

BALIBREA, F., та J. SMÍTAL. "A CHARACTERIZATION OF THE SET Ω (f)\ ω (f) FOR CONTINUOUS MAPS OF THE INTERVAL WITH ZERO TOPOLOGICAL ENTROPY". International Journal of Bifurcation and Chaos 05, № 05 (1995): 1433–35. http://dx.doi.org/10.1142/s0218127495001113.

Full text

Abstract:

We give a characterization of the set of nonwandering points of a continuous map f of the interval with zero topological entropy, attracted to a single (infinite) minimal set Q. We show that such a map f can have a unique infinite minimal set Q and an infinite set B ⊂ Ω (f)\ ω (f) (of nonwandering points that are not ω-limit points) attracted to Q and such that B has infinite intersections with infinitely many disjoint orbits of f.

APA, Harvard, Vancouver, ISO, and other styles

30

Zarepour, Mohammad Saleh. "God, Personhood, and Infinity: Against a Hickian Argument." European Journal for Philosophy of Religion 12, no. 1 (2020): 61. http://dx.doi.org/10.24204/ejpr.v12i1.2987.

Full text

Abstract:

Criticizing Richard Swinburne’s conception of God, John Hick argues that God cannot be personal because infinity and personhood are mutually incompatible. An essential characteristic of a person, Hick claims, is having a boundary which distinguishes that person from other persons. But having a boundary is incompatible with being infinite. Infinite beings are unbounded. Hence God cannot be thought of as an infinite person. In this paper, I argue that the Hickian argument is flawed because boundedness is an equivocal notion: in one sense it is not essential to personhood, and in another sense—wh

APA, Harvard, Vancouver, ISO, and other styles

31

Strauss, Danie. "The Philosophy of the Cosmonomic Idea and the Philosophical Foundations of Mathematics." Philosophia Reformata 86, no. 1 (2021): 29–47. http://dx.doi.org/10.1163/23528230-bja10014.

Full text

Abstract:

Abstract Since the discovery of the paradoxes of Zeno, the problem of infinity was dominated by the meaning of endlessness—a view also adhered to by Herman Dooyeweerd. Since Aristotle, philosophers and mathematicians distinguished between the potential infinite and the actual infinite. The main aim of this article is to highlight the strengths and limitations of Dooyeweerd’s philosophy for an understanding of the foundations of mathematics, including Dooyeweerd’s quasi-substantial view of the natural numbers and his view of the other types of numbers as functions of natural numbers. Dooyeweerd

APA, Harvard, Vancouver, ISO, and other styles

32

Davidson, Rodney F. "Waves below first cutoff in a duct." Journal of the Australian Mathematical Society. Series B. Applied Mathematics 29, no. 4 (1988): 448–60. http://dx.doi.org/10.1017/s0334270000005944.

Full text

Abstract:

AbstractThe two-dimensional Helmholtz equation is studied for an infinite region with two semi-infinite plates extending to infinity in opposite directions and a finite duct in the overlapping region. The solution technique leads to coupled Wiener-Hopf equations, and subsequently to an infinite set of simultaneous linear equations. As an example, an asymptotic expansion is calculated and graphed for the case when the duct length divided by duct width is large enough to ensure damping of all but the zero mode wave in the duct.

APA, Harvard, Vancouver, ISO, and other styles

33

Singh, Anand P., and Garima Tomar. "On Levels of fast escaping sets and Spider's Web of transcendental entire functions." New Zealand Journal of Mathematics 49 (December 31, 2019): 1–9. http://dx.doi.org/10.53733/25.

Full text

Abstract:

Let f be a transcendental entire function and let I(f) be the points which escape to infinity under iteration. Bergweiler and Hinkkanen introduced the fast escaping sets A(f) and subsequently, Rippon and Stallard introduced `Levels' of fast escaping sets . These sets under some restriction have the properties of "infinite spider's web" structure. Here we give some topological properties of the infinite spider's web and show some of the transcendental entire functions whose levels of the fast escaping sets have infinite spider's web structure.

APA, Harvard, Vancouver, ISO, and other styles

34

Arnal-Palacián, Mónica. "Infinite limit of a function at infinity and its phenomenology." Annales Universitatis Paedagogicae Cracoviensis | Studia ad Didacticam Mathematicae Pertinentia 14 (December 31, 2022): 25–41. http://dx.doi.org/10.24917/20809751.14.3.

Full text

Abstract:

In this paper we aim to characterise and define the phenomena of the infinite limit of a function at infinity. Based on the intuitive and formal approaches, we obtain as results five phenomena organised by a definition of this limit: intuitive unlimited growth of a function, for plus and minus infinity, and intuitive unlimited decrease of a function, for plus and minus infinity (intuitive approach), and the round-trip phenomenon of infinite limit functions (formal approach). All this is intended to help overcome the difficulties that pre-university students have with the concept of limit, cont

APA, Harvard, Vancouver, ISO, and other styles

35

Guesmia, Aissa. "Non-exponential and polynomial stability results of a Bresse system with one infinite memory in the vertical displacement." Nonautonomous Dynamical Systems 4, no. 1 (2017): 78–97. http://dx.doi.org/10.1515/msds-2017-0008.

Full text

Abstract:

Abstract The asymptotic stability of one-dimensional linear Bresse systems under infinite memories was obtained by Guesmia and Kafini [10] (three infinite memories), Guesmia and Kirane [11] (two infinite memories), Guesmia [9] (one infinite memory acting on the longitudinal displacement) and De Lima Santos et al. [6] (one infinite memory acting on the shear angle displacement). When the kernel functions have an exponential decay at infinity, the obtained stability estimates in these papers lead to the exponential stability of the system if the speeds ofwave propagations are the same, and to th

APA, Harvard, Vancouver, ISO, and other styles

36

FRAMPTON, PAUL H. "CYCLIC UNIVERSE AND INFINITE PAST." Modern Physics Letters A 22, no. 34 (2007): 2587–92. http://dx.doi.org/10.1142/s0217732307025698.

Full text

Abstract:

We address two questions about the past for infinitely cyclic cosmology. The first is whether it can contain an infinite length null geodesic into the past in view of the Borde–Guth–Vilenkin (BGV) "no-go" theorem, The second is whether, given that a small fraction of spawned universes fail to cycle, there is an adequate probability for a successful universe after an infinite time. We give positive answers to both questions and then show that in infinite cyclicity the total number of universes has been infinite for an arbitrarily long time.

APA, Harvard, Vancouver, ISO, and other styles

37

Keyl, M., D. Schlingemann, and R. F. Werner. "Infinitely entangled states." Quantum Information and Computation 3, no. 4 (2003): 281–306. http://dx.doi.org/10.26421/qic3.4-1.

Full text

Abstract:

For states in infinite dimensional Hilbert spaces entanglement quantities like the entanglement of distillation can become infinite. This leads naturally to the question, whether one system in such an infinitely entangled state can serve as a resource for tasks like the teleportation of arbitrarily many qubits. We show that appropriate states cannot be obtained by density operators in an infinite dimensional Hilbert space. However, using techniques for the description of infinitely many degrees of freedom from field theory and statistical mechanics, such states can nevertheless be constructed

APA, Harvard, Vancouver, ISO, and other styles

38

Scott, David D. "The boundless riches of God." Theology in Scotland 27, no. 2 (2020): 25–41. http://dx.doi.org/10.15664/tis.v27i2.2138.

Full text

Abstract:

This paper explores the concept of infinity in mathematics and its relation to theological considerations. It begins by seeking to answer the question of whether mathematical enquiry into the character of infinity may cast some light on the infinite character of God. Drawing on the work of Euclid, Cantor, and Gödel in particular, it considers concepts of potential and actual infinity and how mathematical discoveries have implications for (i) the relation of the finite and infinite (which has theological implications for the incarnation); (ii) the relation of theory and reality; (iii) the futur

APA, Harvard, Vancouver, ISO, and other styles

39

Button, J. O. "Growth in Infinite Groups of Infinite Subsets." Algebra Colloquium 22, no. 02 (2015): 333–48. http://dx.doi.org/10.1142/s1005386715000292.

Full text

Abstract:

Given an infinite group G, we consider the finitely additive invariant measure defined on finite unions of cosets of finite index subgroups. We show that this shares many properties with the size of subsets of a finite group, for instance we can obtain equivalent results on the Ruzsa distance and product free sets. In particular, if G has infinitely many finite index subgroups, then it has subsets S of measure arbitrarily close to 1/2 with square S2 having measure less than 1. We also examine properties of the Ruzsa distance on the set of finite index subgroups of an infinite group, whereupon

APA, Harvard, Vancouver, ISO, and other styles

40

Diaz-Espinoza, Irving Aaron, José Antonio Juárez-López, and Estela Juárez-Ruiz. "Exploring a Mathematics Teacher’s Conceptions of Infinity: The Case of Louise." Indonesian Journal of Mathematics Education 6, no. 1 (2023): 1–6. http://dx.doi.org/10.31002/ijome.v6i1.560.

Full text

Abstract:

Several papers studied infinity from the difficulties that students and teachers show in developing the concept. For this study, it was considered the analysis of the equality 0.999 … = 1. Mainly, this research aims to show that a mathematics teacher presents erroneous conceptions just like a student; that is, both students and teachers have the same difficulties in the concept of infinity. To this aim, a semi-structured interview was conducted with an in-service mathematics teacher in Tlaxcala, Mexico. The purpose of this research is to exhibit a high school math teacher’s misconceptions abou

APA, Harvard, Vancouver, ISO, and other styles

41

Zemanian, A. "Infinite electrical networks with finite sources at infinity." IEEE Transactions on Circuits and Systems 34, no. 12 (1987): 1518–34. http://dx.doi.org/10.1109/tcs.1987.1086090.

Full text

APA, Harvard, Vancouver, ISO, and other styles

42

CALLAHAN, J. "Mastery of the Infinite: To Infinity and Beyond." Science 237, no. 4815 (1987): 666–67. http://dx.doi.org/10.1126/science.237.4815.666.

Full text

APA, Harvard, Vancouver, ISO, and other styles

43

Zhu, Wujia, Yi Lin, Ningsheng Gong, and Guoping Du. "Problem of infinity between predicates and infinite sets." Kybernetes 37, no. 3/4 (2008): 526–33. http://dx.doi.org/10.1108/03684920810863516.

Full text

APA, Harvard, Vancouver, ISO, and other styles

44

Laakkonen, Petteri, and Seppo Pohjolainen. "Directed structure at infinity for infinite-dimensional systems." International Journal of Control 84, no. 4 (2011): 702–15. http://dx.doi.org/10.1080/00207179.2011.572999.

Full text

APA, Harvard, Vancouver, ISO, and other styles

45

Stolzenberg, Jürgen. "Hegel’s Concept of True Infinity." Russian Journal of Philosophical Sciences 68, no. 2 (2025): 33–51. https://doi.org/10.30727/0235-1188-2025-68-2-33-51.

Full text

Abstract:

Hegel’s dialectical method, constituting the foundation of his philosophical system, remains subject to diverse interpretations. It is generally assumed that, while, based on Hegelian philosophy, the understanding (Verstand) fixes contradictions as something independent and final, reason (Vernunft) dialectically sublates these contradictions by revealing their inner interconnection and transition into one another. However, the question remains as to how exactly, according to Hegel, this transition takes place. This article examines the fundamental problem in Hegel’s philosophy, the relationshi

APA, Harvard, Vancouver, ISO, and other styles

46

Mamolo, Ami. "INTUITIONS OF "INFINITE NUMBERS": INFINITE MAGNITUDE VS. INFINITE REPRESENTATION." Mathematics Enthusiast 6, no. 3 (2009): 305–30. http://dx.doi.org/10.54870/1551-3440.1156.

Full text

APA, Harvard, Vancouver, ISO, and other styles

47

Özöğür-Akyüz, S., and G. W. Weber. "Infinite kernel learning via infinite and semi-infinite programming." Optimization Methods and Software 25, no. 6 (2010): 937–70. http://dx.doi.org/10.1080/10556780903483349.

Full text

APA, Harvard, Vancouver, ISO, and other styles

48

Arthur, Richard T. W. "Leibniz and the Three Degrees of Infinity." Leibniz Review 32 (2022): 25–46. http://dx.doi.org/10.5840/leibniz2022322.

Full text

Abstract:

In these remarks on Ohad Nachtomy’s account of Leibniz’s philosophy of the infinite in his recent book, Living Mirrors, I focus on his suggestion that living creatures be interpreted as exemplifying the second of the three degrees of infinity that Leibniz articulates in 1676, as things which are infinite in their own kind. For the infinity characterizing created substances cannot be the highest degree, which is reserved by Leibniz for the divine substance, while Nachtomy sees the lowest degree as applicable only to “entia rationis such as numbers and relations”. Against this, I argue that the

APA, Harvard, Vancouver, ISO, and other styles

49

Ciobotaru, Corina. "Infinitely Generated Hecke Algebras with Infinite Presentation." Algebras and Representation Theory 23, no. 6 (2019): 2275–93. http://dx.doi.org/10.1007/s10468-019-09939-8.

Full text

APA, Harvard, Vancouver, ISO, and other styles

50

Guo, Jiayi. "The Debates on Infinity: A Mathematical History Approach." Highlights in Science, Engineering and Technology 88 (March 29, 2024): 208–13. http://dx.doi.org/10.54097/8fz01096.

Full text

Abstract:

Calculus and set theory sparked centuries of debate on infinity, which continues today. After discovering paradoxes and inconsistencies, mathematicians and philosophers questioned the underlying systems and conceptions of the infinite. Today, we easily use the infinity sign in our academic work. We often forget infinity's turbulent debut in our contemporary use of the term. David Hilbert wrote "On the Infinite" in the 1920s to persuade sceptics to embrace and use infinity. Gödel and his second incompleteness theorem defeated him very quickly. Beyond Gödel's claim of system inconsistency, Hilbe

APA, Harvard, Vancouver, ISO, and other styles

We offer discounts on all premium plans for authors whose works are included in thematic literature selections. Contact us to get a unique promo code!