Log in

Relevant bibliographies by topics / Largeur infinie / Journal articles

Journal articles on the topic 'Largeur infinie'

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

Author: Grafiati

Published: 7 July 2024

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 'Largeur infinie.'

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

Boczar, J., A. Dorobczynski, and J. Miakotoi. "Modèle de transfert et de diffusion de masse dans un écoulement, en présence de gradients de vitesse et de gradients du coefficient de diffusion turbulente." Revue des sciences de l'eau 5, no. 3 (April 12, 2005): 353–79. http://dx.doi.org/10.7202/705136ar.

Full text

APA, Harvard, Vancouver, ISO, and other styles

Abstract:

Le travail présente un modèle mathématique conceptuel de transfert et de diffusion de masse destiné à l'étude des migrations d'effluents en rivière. Ce modèle prend en compte l'existence d'écoulements cisaillés ainsi que la présence de gradients de diffusion turbulente. Il permet de calculer les champs de concentrations et les valeurs moyennes de concentration à travers toute section transversale de l'écoulement. La localisation et la taille relative du rejet sont respectées. L'influence des rives sur les processus de dispersion est prise en considération.Pour quantifier l'influence des berges, une relation est établie entre les concentrations calculées en écoulement de largeur infinie et les concentrations en écoulement d'extension limitée. La méthode utilisée est fondée sur l'emploi d'un champ de vitesse et d'un champ de coefficient de diffusion, symétriques par rapport à des lignes riveraines séparant le courant nul d'un courant fictif situé de part et d'autre de ces limites.Les résultats des tests du modèle mathématique, réalisés à l'aide du programme moniteur « Gradient 2 », sont présentés. Dans le cas d'écoulements cisaillés, on a constaté que la valeur moyenne de concentration d'effluent calculée au travers de sections transversales à l'écoulement n'était pas une quantité invariante tout au long de l'écoulement. Un gradient de vitesse négatif induit une augmentation de cette moyenne à mesure que l'on s'éloigne du rejet alors qu'un gradient positif produit l'effet inverse. Un gradient du coefficient de diffusion turbulente détermine un changement du profil de concentration à l'intérieur d'une section transversale donnée, sans en changer cependant la valeur moyenne. Un gradient négatif augmente la valeur maximale de la distribution des concentrations. Un gradient positif fait diminuer la valeur maximale en aplatissant l'allure du profil.Le modèle mathématique a ensuite été vérifié à l'aide d'un modèle physique. Un modèle réduit respectant les similitudes d'écoulement a été bâti. Les gradients de vitesse du fluide et les gradients du coefficient de diffusion étaient provoqués par l'introduction de tirants d'eau non uniformes dans chaque section transversale. Les mesures réalisées ont permis d'estimer les coefficients de diffusion turbulente.

2

Shen, Luming, Yiying Yu, and Yuxin Zhou. "A note on the largest digits in Lüroth expansion." International Journal of Number Theory 10, no. 04 (May 21, 2014): 1015–23. http://dx.doi.org/10.1142/s1793042114500122.

Full text

APA, Harvard, Vancouver, ISO, and other styles

Abstract:

It is well known that every x ∈ (0, 1] can be expanded into an infinite Lüroth series with the form of [Formula: see text] where dn(x) ≥ 2 and is called the nth digits of x for each n ≥ 1. In [Representations of Real Numbers by Infinite Series, Lecture Notes in Mathematics, Vol. 502 (Springer, New York, 1976)], Galambos showed that for Lebesgue almost all x ∈ (0, 1], [Formula: see text], where Ln(x) = max {d1(x), …, dn(x)} denotes the largest digit among the first n ones of x. In this paper, we consider the Hausdorff dimension of the set [Formula: see text] for any α ≥ 0.

3

Tiwana, Mazhar Hussain, Rab Nawaz, and Amer Bilal Mann. "Radiation of sound in a semi-infinite hard duct inserted axially into a larger infinite lined duct." Analysis and Mathematical Physics 7, no. 4 (November 12, 2016): 525–48. http://dx.doi.org/10.1007/s13324-016-0154-4.

Full text

APA, Harvard, Vancouver, ISO, and other styles

4

Büyükaksoy, A., and A. Demir. "Radiation of sound from a semi-infinite rigid duct inserted axially into a larger infinite tube with wall impedance discontinuity." ZAMM 86, no. 7 (July 3, 2006): 563–71. http://dx.doi.org/10.1002/zamm.200510262.

Full text

APA, Harvard, Vancouver, ISO, and other styles

5

Liu, Li, and Hairong Yuan. "Steady subsonic potential flows through infinite multi-dimensional largely-open nozzles." Calculus of Variations and Partial Differential Equations 49, no. 1-2 (November 6, 2012): 1–36. http://dx.doi.org/10.1007/s00526-012-0570-8.

Full text

APA, Harvard, Vancouver, ISO, and other styles

6

Černý, Radovan, and Vincent Favre-Nicolin. "FOX: A friendly tool to solve nonmolecular structures from powder diffraction." Powder Diffraction 20, no. 4 (December 2005): 359–65. http://dx.doi.org/10.1154/1.2135314.

Full text

APA, Harvard, Vancouver, ISO, and other styles

Abstract:

Structural characterization from powder diffraction of compounds not containing isolated molecules but three-dimensional infinite structure (alloys, intermetallics, framework compounds, extended solids) by direct space methods has been largely improved in the last 15 years. The success of the method depends very much on a proper modeling of the structure from building blocks. The modeling from larger building blocks improves the convergence of the global optimization algorithm by a factor of up to 10. However, care must be taken about the correctness of the building block, like its rigidity, deformation, bonding distances, and ligand identity. Dynamical occupancy correction implemented in the direct space program FOX has shown to be useful when merging excess atoms, and even larger building blocks like coordination polyhedra. It also allows joining smaller blocks into larger ones in the case when the connectivity was not a priori evident from the structural model. We will show in several examples of nonmolecular structures the effect of the modeling by correct structural units.

7

Macpherson, Dugald, Alan H. Mekler, and Saharon Shelah. "The number of infinite substructures." Mathematical Proceedings of the Cambridge Philosophical Society 109, no. 1 (January 1991): 193–209. http://dx.doi.org/10.1017/s0305004100069668.

Full text

APA, Harvard, Vancouver, ISO, and other styles

Abstract:

AbstractGiven a relational structure M and a cardinal λ < |M|, let øλ denote the number of isomorphism types of substructures of M of size λ. It is shown that if μ < λ are cardinals, and |M| is sufficiently larger than λ, then øμ ≤ øλ. A description is also given for structures with few substructures of given infinite cardinality.

8

Demir, A., and Ö. Yanaz Çinar. "Propagation of sound in an infinite two-part duct carrying mean flow inserted axially into a larger infinite duct with wall impedance discontinuity." ZAMM 89, no. 6 (June 16, 2009): 454–65. http://dx.doi.org/10.1002/zamm.200800145.

Full text

APA, Harvard, Vancouver, ISO, and other styles

9

Antczak, Tadeusz. "Saddle point criteria in semi-infinite minimax fractional programming under (Φ,ρ)-invexity." Filomat 31, no. 9 (2017): 2557–74. http://dx.doi.org/10.2298/fil1709557a.

Full text

APA, Harvard, Vancouver, ISO, and other styles

Abstract:

Semi-infinite minimax fractional programming problems with both inequality and equality constraints are considered. The sets of parametric saddle point conditions are established for a new class of nonconvex differentiable semi-infinite minimax fractional programming problems under(?,?)-invexity assumptions. With the reference to the said concept of generalized convexity, we extend some results of saddle point criteria for a larger class of nonconvex semi-infinite minimax fractional programming problems in comparison to those ones previously established in the literature.

10

Wang, Tian-Yi, and Jiaojiao Zhang. "Low Mach number limit of steady flows through infinite multidimensional largely-open nozzles." Journal of Differential Equations 269, no. 3 (July 2020): 1863–903. http://dx.doi.org/10.1016/j.jde.2020.01.023.

Full text

APA, Harvard, Vancouver, ISO, and other styles

11

SCHMERL, JAMES H. "DECIDING THE CHROMATIC NUMBERS OF ALGEBRAIC HYPERGRAPHS." Journal of Symbolic Logic 83, no. 1 (March 2018): 128–45. http://dx.doi.org/10.1017/jsl.2017.47.

Full text

APA, Harvard, Vancouver, ISO, and other styles

12

Galyamin, S. N., A. V. Tyukhtin, V. V. Vorobev, and A. Aryshev. "Bunch radiation from a semi-infinite waveguide with dielectric filling inside a waveguide with larger radius." Journal of Instrumentation 13, no. 02 (February 7, 2018): C02012. http://dx.doi.org/10.1088/1748-0221/13/02/c02012.

Full text

APA, Harvard, Vancouver, ISO, and other styles

13

Cicconi, Maria Rita, Charles Le Losq, Roberto Moretti, and Daniel R. Neuville. "Magmas are the Largest Repositories and Carriers of Earth’s Redox Processes." Elements 16, no. 3 (June 1, 2020): 173–78. http://dx.doi.org/10.2138/gselements.16.3.173.

Full text

APA, Harvard, Vancouver, ISO, and other styles

Abstract:

Magma is the most important chemical transport agent throughout our planet. This paper provides an overview of the interplay between magma redox, major element chemistry, and crystal and volatile content, and of the influence of redox on the factors that drive igneous system dynamics. Given the almost infinite combinations of temperature, pressure, and chemical compositions relevant to igneous petrology, we focus on the concepts and methods that redox geochemistry provides to understand magma formation, ascent, evolution and crystallization. Particular attention is paid to the strong and complex interplay between melt structure and chemistry, and to the influence that redox conditions have on melt properties, crystallization mechanisms and the solubility of volatile components.

14

Bertoin, Jean. "On Largest Offspring in a Critical Branching Process with Finite Variance." Journal of Applied Probability 50, no. 3 (September 2013): 791–800. http://dx.doi.org/10.1239/jap/1378401236.

Full text

APA, Harvard, Vancouver, ISO, and other styles

Abstract:

Continuing the work in Bertoin (2011) we study the distribution of the maximal number X*k of offspring amongst all individuals in a critical Galton‒Watson process started with k ancestors, treating the case when the reproduction law has a regularly varying tail F̅ with index −α for α > 2 (and, hence, finite variance). We show that X*k suitably normalized converges in distribution to a Fréchet law with shape parameter α/2; this contrasts sharply with the case 1< α<2 when the variance is infinite. More generally, we obtain a weak limit theorem for the offspring sequence ranked in decreasing order, in terms of atoms of a certain doubly stochastic Poisson measure.

15

Marchal, Christian. "Three-body problem, the measure of oscillating types. A short review." Proceedings of the International Astronomical Union 9, S310 (July 2014): 43–44. http://dx.doi.org/10.1017/s1743921314007790.

Full text

APA, Harvard, Vancouver, ISO, and other styles

Abstract:

AbstractThe theoretical three body problem, with three given non infinitesimal point masses, has two types of oscillating motions. In the first type at least two mutual distances are unbounded, but their inferior limit is bounded: there are an infinite number of larger and larger ejections, but without escape. In the second type, it is the velocities that are unbounded: there are an infinite number of nearer and nearer quasi-collisions, without exact collisions.The first type has only a theoretical interest: its measure in phase space is zero. But the second type has a positive measure in phase space and a physical interest: it governs most of the collisions of stars.

16

Bertoin, Jean. "On Largest Offspring in a Critical Branching Process with Finite Variance." Journal of Applied Probability 50, no. 03 (September 2013): 791–800. http://dx.doi.org/10.1017/s0021900200009840.

Full text

APA, Harvard, Vancouver, ISO, and other styles

Abstract:

Continuing the work in Bertoin (2011) we study the distribution of the maximal number X * k of offspring amongst all individuals in a critical Galton‒Watson process started with k ancestors, treating the case when the reproduction law has a regularly varying tail F̅ with index −α for α > 2 (and, hence, finite variance). We show that X * k suitably normalized converges in distribution to a Fréchet law with shape parameter α/2; this contrasts sharply with the case 1< α<2 when the variance is infinite. More generally, we obtain a weak limit theorem for the offspring sequence ranked in decreasing order, in terms of atoms of a certain doubly stochastic Poisson measure.

17

Bieri, Robert, Yves Cornulier, Luc Guyot, and Ralph Strebel. "Infinite presentability of groups and condensation." Journal of the Institute of Mathematics of Jussieu 13, no. 4 (January 2, 2014): 811–48. http://dx.doi.org/10.1017/s1474748013000327.

Full text

APA, Harvard, Vancouver, ISO, and other styles

Abstract:

AbstractWe describe various classes of infinitely presented groups that are condensation points in the space of marked groups. A well-known class of such groups consists of finitely generated groups admitting an infinite minimal presentation. We introduce here a larger class of condensation groups, called infinitely independently presentable groups, and establish criteria which allow one to infer that a group is infinitely independently presentable. In addition, we construct examples of finitely generated groups with no minimal presentation, among them infinitely presented groups with Cantor–Bendixson rank 1, and we prove that every infinitely presented metabelian group is a condensation group.

18

Zhang, Dai Yuan. "A New Theory of Infinite Series and its Applications in Training Weight Function Neural Networks." Applied Mechanics and Materials 513-517 (February 2014): 679–82. http://dx.doi.org/10.4028/www.scientific.net/amm.513-517.679.

Full text

APA, Harvard, Vancouver, ISO, and other styles

Abstract:

A new theory of infinite series is proposed in this paper, some new important theorems for function expansion and infinite series are also proposed. Unlike Taylors expansion, the expansion generated by a function is not the form of polynomials. In general, the performance of convergence is much better than that obtained by Taylor's Series. The new important theorems lay the foundation for the new theory of infinite series and applications. To describe the performance of the new results obtained in this paper, an example given in this paper shows that the region of convergence is much larger than that of Taylors series. The new infinite series can keep some important properties of original functions. Weight function neural networks are also used to training feedforward neural networks based on the new theory proposed in this paper.

19

Dekkers, J. C. M. "Asymptotic response to selection on best linear unbiased predictors of breeding values." Animal Science 54, no. 3 (June 1992): 351–60. http://dx.doi.org/10.1017/s0003356100020808.

Full text

APA, Harvard, Vancouver, ISO, and other styles

Abstract:

AbstractFormulas were derived to predict asymptotic response to selection on best linear unbiased predictors (BLUP) of breeding values that account for selection-induced gametic phase disequilibrium, also known as the ‘Bulmer’ effect. Breeding programmes in populations of infinite size and with discrete generations were considered. For two-path breeding programmes with equal male and female accuracy of selection, relative reductions in response due to gametic phase disequilibrium were independent of heritability. Reductions in response depended only on intensities of selection and ranged from 0·22 to 0·27 when selected proportions were less than 04 for both males and females. With unequal accuracy of males and females, relative reductions in response depended on the ratio of accuracies, in addition to selection intensities. For given selection intensities, reductions were up to proportionately 0·08 larger with unequal accuracies than reductions obtained for equal accuracies. Relative reductions in response for breeding programmes with four paths of selection depended on intensity and accuracy of selection in each path, but were within a range similar to that observed for two-path programmes. Gametic phase disequilibrium will, therefore, not greatly affect ranking and relative differences among alternative breeding programmes.Gametic phase disequilibrium had a larger effect on response with selection on BLUP than on phenotype, which is largely due to larger relative reductions in accuracy of selection with BLUP. Despite larger relative reductions, asymptotic response to selection on BLUP is expected to be larger than selection on phenotype.

20

THOMINE, DAMIEN. "Variations on a central limit theorem in infinite ergodic theory." Ergodic Theory and Dynamical Systems 35, no. 5 (June 4, 2014): 1610–57. http://dx.doi.org/10.1017/etds.2013.114.

Full text

APA, Harvard, Vancouver, ISO, and other styles

Abstract:

In a previous paper the author proved a distributional convergence for the Birkhoff sums of functions of null average defined over a dynamical system with an infinite, invariant, ergodic measure, akin to a central limit theorem. Here we extend this result to larger classes of observables, with milder smoothness conditions, and to larger classes of dynamical systems, which may no longer be mixing. A special emphasis is given to continuous time systems: semi-flows, flows, and $\mathbb{Z}^{d}$-extensions of flows. The latter generalization is applied to the geodesic flow on $\mathbb{Z}^{d}$-periodic manifolds of negative sectional curvature.

21

Bartlett, Jonathan, Logan Gaastra, and David Nemati. "Hyperreal Numbers for Infinite Divergent Series." Communications of the Blyth Institute 2, no. 1 (January 19, 2020): 7–15. http://dx.doi.org/10.33014/issn.2640-5652.2.1.bartlett-et-al.1.

Full text

APA, Harvard, Vancouver, ISO, and other styles

Abstract:

Treating divergent series properly has been an ongoing issue in mathematics. However, many of the problems in divergent series stem from the fact that divergent series were discovered prior to having a number system which could handle them. The infinities that resulted from divergent series led to contradictions within the real number system, but these contradictions are largely alleviated with the hyperreal number system. Hyperreal numbers provide a framework for dealing with divergent series in a more comprehensive and tractable way.

22

SHEVCHENKO, VLADIMIR. "INFINITE STATISTICS, SYMMETRY BREAKING AND COMBINATORIAL HIERARCHY." Modern Physics Letters A 24, no. 18 (June 14, 2009): 1425–35. http://dx.doi.org/10.1142/s0217732309030825.

Full text

APA, Harvard, Vancouver, ISO, and other styles

Abstract:

The physics of symmetry breaking in theories with strongly interacting quanta obeying infinite (quantum Boltzmann) statistics known as quons is discussed. The picture of Bose/Fermi particles as low energy excitations over nontrivial quon condensate is advocated. Using induced gravity arguments, it is demonstrated that the Planck mass in such low energy effective theory can be factorially (in number of degrees of freedom) larger than its true ultraviolet cutoff. Thus, the assumption that statistics of relevant high energy excitations is neither Bose nor Fermi but infinite can remove the hierarchy problem without necessity to introduce any artificially large numbers. Quantum mechanical model illustrating this scenario is presented.

23

Antczak, Tadeusz. "Sufficient optimality conditions for semi-infinite multiobjective fractional programming under (Ф,ρ)-V-invexity and generalized (Ф,ρ)-V-invexity." Filomat 30, no. 14 (2016): 3649–65. http://dx.doi.org/10.2298/fil1614649a.

Full text

APA, Harvard, Vancouver, ISO, and other styles

Abstract:

A new class of nonconvex smooth semi-infinite multiobjective fractional programming problems with both inequality and equality constraints is considered. We formulate and establish several parametric sufficient optimality conditions for efficient solutions in such nonconvex vector optimization problems under (?,?)-V-invexity and/or generalized (?,?)-V-invexity hypotheses. With the reference to the said functions, we extend some results of efficiency for a larger class of nonconvex smooth semi-infinite multiobjective programming problems in comparison to those ones previously established in the literature under other generalized convexity notions. Namely, we prove the sufficient optimality conditions for such nonconvex semi-infinite multiobjective fractional programming problems in which not all functions constituting them have the fundamental property of convexity, invexity and most generalized convexity notions.

24

BRUIN, HENK, and DALIA TERHESIU. "Upper and lower bounds for the correlation function via inducing with general return times." Ergodic Theory and Dynamical Systems 38, no. 1 (July 26, 2016): 34–62. http://dx.doi.org/10.1017/etds.2016.20.

Full text

APA, Harvard, Vancouver, ISO, and other styles

Abstract:

For non-uniformly expanding maps inducing with a general return time to Gibbs Markov maps, we provide sufficient conditions for obtaining higher-order asymptotics for the correlation function in the infinite measure setting. Along the way, we show that these conditions are sufficient to recover previous results on sharp mixing rates in the finite measure setting for non-Markov maps, but for a larger class of observables. The results are illustrated by (finite and infinite measure-preserving) non-Markov interval maps with an indifferent fixed point.

25

Miller, Allen R. "m-Dimensional Schlömilch Series." Canadian Mathematical Bulletin 38, no. 3 (September 1, 1995): 347–51. http://dx.doi.org/10.4153/cmb-1995-050-x.

Full text

APA, Harvard, Vancouver, ISO, and other styles

Abstract:

AbstractBy using the principle of mathematical induction a simple algebraic formula is derived for an m-dimensional Schlömilch series. The result yields a countably infinite number of representations for null-functions on increasingly larger open intervals.

26

Wang, C. Y. "Complex Trapped Modes of the Helmholtz Equation in Cross, S, and U Bends." International Journal of Applied Mechanics 07, no. 02 (April 2015): 1550024. http://dx.doi.org/10.1142/s1758825115500246.

Full text

APA, Harvard, Vancouver, ISO, and other styles

Abstract:

The Helmholtz equation with zero boundary conditions is important in the vibration of membranes, simply-supported plates, and electromagnetic and quantum waveguides. Trapped modes, with a lowered frequency and limited local effect, may exist for infinite strips with local bends or enlargements. Infinite strips with a cross bulge, with an S bend and with a U bend are studied using an efficient eigenfunction expansion and domain decomposition method. As the bulge become larger, more trapped modes with more complexity appear. Some geometries do not support trapped modes at all. These results are new.

27

HUDELSON, W. M. PHILLIP. "MASS PROBLEMS AND INITIAL SEGMENT COMPLEXITY." Journal of Symbolic Logic 79, no. 01 (March 2014): 20–44. http://dx.doi.org/10.1017/jsl.2013.7.

Full text

APA, Harvard, Vancouver, ISO, and other styles

Abstract:

Abstract By the complexity of a finite sequence of 0’s and 1’s we mean the Kolmogorov complexity, that is the length of the shortest input to a universal recursive function which returns the given sequence as output. By initial segment complexity of an infinite sequence of 0’s and 1’s we mean the asymptotic behavior of the complexity of its finite initial segments. In this paper, we construct infinite sequences of 0’s and 1’s with given recursive lower bounds on initial segment complexity which do not compute any infinite sequences of 0’s and 1’s with a significantly larger recursive lower bound on initial segment complexity. This improves several known results about randomness extraction and separates many natural degrees in the lattice of Muchnik degrees.

28

Eberl, Matthias. "A Model Theory for the Potential Infinite." Reports on Mathematical Logic 57 (November 28, 2022): 3–30. http://dx.doi.org/10.4467/20842589rm.22.001.16658.

Full text

APA, Harvard, Vancouver, ISO, and other styles

Abstract:

We present the model theoretic concepts that allow mathematics to be developed with the notion of the potential infinite instead of the actual infinite. The potential infinite is understood as a dynamic notion, being an indefinitely extensible finite. The main adoption is the interpretation of the universal quantifier, which has an implicit reection principle. Each universal quantification refers to an indefinitely large, but finite set. The quantified sets may increase, so after a reference by quantification, a further reference typically uses a larger, still finite set. We present the concepts for classical first-order logic and show that these dynamic models are sound and complete with respect to the usual inference rules. Moreover, a finite set of formulas requires a finite part of the increasing model for a correct interpretation.

29

Xu, Xinyong, Honghao Zhang, Jinchang Liang, Xuhui Liu, Chenlong Xie, and Jianwei Zhang. "STUDY ON EARTHQUAKE DESTRUCTION MODE OF THE LARGEST CANAL CROSSING HIGHWAY BRIDGE BASED ON IEM BOUNDARY IN SOUTH-TO-NORTH WATER DIVERSION." Stavební obzor - Civil Engineering Journal 32, no. 2 (July 31, 2023): 147–60. http://dx.doi.org/10.14311/cej.2023.02.0012.

Full text

APA, Harvard, Vancouver, ISO, and other styles

Abstract:

To study the dynamic failure mechanism and damage development law of highway bridge structure under the boundary effect in the process of seismic dynamic duration, the Wenchang Highway Bridge with the largest canal crossing in the South-to-North Water Diversion is taken as an example for seismic design analysis. Based on the finite element and infinite element coupling theory, the infinite element method boundary is introduced, the concrete damage plasticity is introduced, and the half-space free field model is established to study the energy dispersion phenomenon of waves in the boundary and the absorption effect of the infinite element method boundary on wave energy is verified. Under different peak acceleration intensities, the seismic response analysis of the bridge structure was carried out. The results show that: Under the action of selected artificial waves, the damage location of the bridge mainly concentrated in the junction of the box girder supported by the pier, the bottom of the pier and the junction of the pier and beam. The damage tends to develop downward near the bottom of the box girder. The damage at both ends of the beam extends from both ends to the middle. And the bottom and top of the pier have penetrating damage. These are weak points in seismic design. At a horizontal peak acceleration of 0.6g, in addition to damage to the pier column, damage also occurred to the bottom of the box girder. Therefore, when the horizontal peak acceleration of the seismic wave is greater than 0.6g, the failure of the bottom of the box girder is paid attention to. Moreover, the IEM boundary has a good control effect on the far-field energy dissipation of the wave, which is simpler and more efficient than the viscous–spring boundary.

30

Whiteley, Walter. "Fragmentary and incidental behaviour of columns, slabs and crystals." Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences 372, no. 2008 (February 13, 2014): 20120032. http://dx.doi.org/10.1098/rsta.2012.0032.

Full text

APA, Harvard, Vancouver, ISO, and other styles

Abstract:

Between the study of small finite frameworks and infinite incidentally periodic frameworks, we find the real materials which are large, but finite, fragments that fit into the infinite periodic frameworks. To understand these materials, we seek insights from both (i) their analysis as large frameworks with associated geometric and combinatorial properties (including the geometric repetitions) and (ii) embedding them into appropriate infinite periodic structures with motions that may break the periodic structure. A review of real materials identifies a number of examples with a local appearance of ‘unit cells’ which repeat under isometries but perhaps in unusual forms. These examples also refocus attention on several new classes of infinite ‘periodic’ frameworks: (i) columns—three-dimensional structures generated with one repeating isometry and (ii) slabs—three-dimensional structures with two independent repeating translations. With this larger vision of structures to be studied, we find some patterns and partial results that suggest new conjectures as well as many additional open questions. These invite a search for new examples and additional theorems.

31

Khalili, Arzhang, and Bo Liu. "Stokes’ paradox: creeping flow past a two-dimensional cylinder in an infinite domain." Journal of Fluid Mechanics 817 (March 21, 2017): 374–87. http://dx.doi.org/10.1017/jfm.2017.127.

Full text

APA, Harvard, Vancouver, ISO, and other styles

Abstract:

Finite container sizes in experiments and computer simulations impose artificial boundaries which do not exist when they are meant to mimic ambient fluid of infinite extent. We show here that this is the case with flows past an infinite cylinder placed in an infinite ambient fluid (Stokes’ paradox). Using a highly efficient and stable numerical method that is capable of handling computational domains several orders of magnitude larger than in previous studies, we provide a criterion for the minimum necessary extent around an object in order to provide accurate velocity and pressure fields, which are prerequisites for correct calculation of secondary quantities such as drag coefficient. The careful and extensive simulations performed suggest an improved relation for the drag coefficient as a function of Reynolds number, and identify the most suitable experimental data available in the literature.

32

Yang, Yong Gang, Shu Hua Hu, and Fu Ping Liu. "Effects of the Velocity of Ink Distributing Roller on Ink Tack Value." Advanced Materials Research 295-297 (July 2011): 2033–36. http://dx.doi.org/10.4028/www.scientific.net/amr.295-297.2033.

Full text

APA, Harvard, Vancouver, ISO, and other styles

Abstract:

In order to find out the variation law of ink tack during the printing, the ink tack value under 9 different linear velocities of ink distributing roller was tested with an electric ink tack-o-meter in this article, and the relation equations between tack value and the roller linear velocity were built up. The study results showed that the higher the linear speed was, the larger the tack value was, and it would stay in a relatively high tack value (regarded as infinite tack value). At the same time, the relationships between ink tack and the roller linear velocity was different for various inks, so did the infinite tack value.

33

Yang, Yong Gang. "Study on the Relation between Ink Tack Value and Wavers Velocity." Advanced Materials Research 314-316 (August 2011): 1350–53. http://dx.doi.org/10.4028/www.scientific.net/amr.314-316.1350.

Full text

APA, Harvard, Vancouver, ISO, and other styles

Abstract:

In order to find out the variation law of ink tack during the printing, the ink tack value under 9 different linear velocities of ink distributing roller was tested with an electric ink tack-o-meter in this article, and the relation equations between tack value and the roller linear velocity were built up. The study results showed that the higher the linear speed was, the larger the tack value was, and it would stay in a relatively high tack value (regarded as infinite tack value). At the same time, the relationships between ink tack and the roller linear velocity was different for various inks, so did the infinite tack value.

34

WANG, JIAOJIAO, and HONG-KUN XU. "Stepsize Choice for Korpelevich's and Popov's Extragradient Algorithms for Convex-Concave Minimax Problems." Carpathian Journal of Mathematics 39, no. 1 (July 30, 2022): 315–23. http://dx.doi.org/10.37193/cjm.2023.01.22.

Full text

APA, Harvard, Vancouver, ISO, and other styles

Abstract:

"We show that the choice of stepsize in Korpelevich's extragradient algorithm is sharp, while the choice of stepsize in Popov's extragradient algorithm can be relaxed. We also extend Korpelevich's extragradient algorithm and Popov's extragradient algorithm (with larger stepsize) to the infinite-dimensional Hilbert space framework, with weak convergence."

35

Hagoort, Jacques. "The Productivity of a Well Completed With a Vertical Penny-Shaped Fracture." SPE Journal 16, no. 02 (January 25, 2011): 401–10. http://dx.doi.org/10.2118/104385-pa.

Full text

APA, Harvard, Vancouver, ISO, and other styles

Abstract:

Summary In this work, we present a simple polynomial relationship for the effective well radius of a well completed with a vertical, infinite-conductivity, penny-shaped hydraulic fracture as a function of fracture diameter. It is based on an analytical solution for steady-state, single-phase flow to a circular, constant-pressure surface in an infinite porous medium. This solution is extended to a vertical, penny-shaped fracture in the center of a plane circular reservoir. The effective well radius increases with increasing fracture diameter to approximately 0.2 times the fracture diameter for a fracture diameter equal to the reservoir thickness. As a rule of thumb, the productivity of a well with an infinite-conductivity, penny-shaped fracture exceeds the openhole productivity for fracture diameters larger than one-third of the reservoir thickness. The productivity of a well with a fracture diameter equal to the reservoir thickness is approximately twice the openhole productivity. The adverse effect of fracture conductivity can be estimated by a simple formula that relates fracture efficiency to the productivity index of a well with an infinite-conductivity fracture and to the ratio of the flow capacity of the fracture to that of the reservoir.

36

Bazˇant, Zdeneˇk P. "Softening Instability: Part II—Localization Into Ellipsoidal Regions." Journal of Applied Mechanics 55, no. 3 (September 1, 1988): 523–29. http://dx.doi.org/10.1115/1.3125824.

Full text

APA, Harvard, Vancouver, ISO, and other styles

Abstract:

Extending the preceding study of exact solutions for finite-size strain-softening regions in layers and infinite space, exact solution of localization instability is obtained for the localization of strain into an ellipsoidal region in an infinite solid. The solution exploits Eshelby’s theorem for eigenstrains in elliptical inclusions in an infinite elastic solid. The special cases of localization of strain into a spherical region in three dimensions and into a circular region in two dimensions are further solved for finite solids — spheres in 3D and circles in 2D. The solutions show that even if the body is infinite the localization into finite regions of such shapes cannot take place at the start of strain-softening (a state corresponding to the peak of the stress-strain diagram) but at a finite strain-softening slope. If the size of the body relative to the size of the softening region is decreased and the boundary is restrained, homogeneous strain-softening remains stable into a larger strain. The results also can be used as checks for finite element programs for strain-softening. The present solutions determine only stability of equilibration states but not bifurcations of the equilibrium path.

37

Theojaya, Simeon. "The Exigency of Ethics: Interpolating Lévinasian Proximity into Kant’s Approximation." Journal of Jewish Ethics 8, no. 2 (July 2022): 207–20. http://dx.doi.org/10.5325/jjewiethi.8.2.0207.

Full text

APA, Harvard, Vancouver, ISO, and other styles

Abstract:

ABSTRACT Kant perceives moral theology as the real, foundational theology (1788, 1817), and Lévinas nominates ethics as the first philosophy (1961, 1982)—or the first foundational theology (Purcell 2006). They emphasize the primacy of ethics over theoretical-speculative theology and ontological reasoning for different reasons. After Lévinas’s critical appraisal of Kant’s revolutionary proposal (1971), scholars have considered some resolutions to the remaining discrepancies related to their disposition toward ontology and reasoning method (Atterton 1999; Steinbock 2009; Truwant 2014). On a larger scale, Llewelyn (2000), Chalier (2002), and Basterra (2015) develop constructive approaches to overlapping themes. This study focuses on Lévinas’s less-discussed idea, i.e., proximity as the signification of infinite responsibility. The author argues that Lévinas’s notion of proximity amounts to Kant’s constant moral approximation—which provides the basis for the exigency of ethics. However, Levinasian proximity promotes radical passivity and does not borrow the premises of Kantian nomistic coherence. Lévinas construes moral approximation as a passive synthesis because infinite responsibility does not stem from the egological free being. Instead, proximity signifies that infinite responsibility arises from the Infinite that encompasses a subject, irrespective of their rationality and experience.

38

Huang, Haiying, and George A. Kardomateas. "Single-Edge and Double-Edge Cracks in a Fully Anisotropic Strip." Journal of Engineering Materials and Technology 121, no. 4 (October 1, 1999): 422–29. http://dx.doi.org/10.1115/1.2812397.

Full text

APA, Harvard, Vancouver, ISO, and other styles

Abstract:

The mode I and II stress intensity factors in a fully anisotropic infinite strip with a single-edge or double-edge crack configuration are obtained from an approach based on the continuous dislocation technique. The elastic solution of a single dislocation in an anisotropic half plane is used in conjunction with an array of dislocations along the boundary of the infinite strip, which is supposed to be traction-free, to provide the solution of a single dislocation in an anisotropic infinite strip. The dislocation densities of the dislocation array are determined in such a way that the traction forces generated by the dislocation array cancel the residual tractions along the boundary due to the single dislocation in the half plane. The stress field of a single dislocation in the infinite strip is thus a superposition of that of the single dislocation and the dislocation array in the half plane. This solution is then applied to calculate the mixed mode I and II stress intensity factors for a single-edge and a double-edge crack in the anisotropic strip, by replacing the cracks with a series of dislocations and satisfying the crack surface traction-free conditions. To illustrate the results, typical material data for graphite/epoxy were used in a unidirectional construction with the fiber orientation, θ, measured from the load direction (perpendicular to the crack direction), varying between 0 and 90 degrees. It is found that the effect of anisotropy on the mode I stress intensity factor is significant between 30 and 60 degrees and depends strongly on the relative crack length, being larger for cracks of relative larger length. The mode mixity, defined such that it is zero for pure mode I and 90 degrees for pure mode II, is significant between 40 and 70 degrees, and is in general between zero and 20 degrees.

39

Zhou, Wen. "Sequential Divestiture and Firm Asymmetry." Economics Research International 2013 (March 11, 2013): 1–11. http://dx.doi.org/10.1155/2013/352847.

Full text

APA, Harvard, Vancouver, ISO, and other styles

Abstract:

Simple Cournot models of divestiture tend to generate incentives to divest which are too strong, predicting that firms will break up into an infinite number of divisions resulting in perfect competition. This paper shows that if the order of divestitures is endogenized, firms will always choose sequential, and hence very limited, divestitures. Divestitures favor the larger firm and the follower in a sequential game. Divestitures in which the larger firm is the follower generate greater industry profit and social welfare, but a smaller consumer surplus.

40

Kucera, A., and J. R. Blake. "Approximate methods for modelling cavitation bubbles near boundaries." Bulletin of the Australian Mathematical Society 41, no. 1 (February 1990): 1–44. http://dx.doi.org/10.1017/s0004972700017834.

Full text

APA, Harvard, Vancouver, ISO, and other styles

Abstract:

Approximate methods are developed for modelling the growth and collapse of clouds of cavitation bubbles near an infinite and semi-infinite rigid boundary, a cylinder, between two flat plates and in corners and near edges formed by planar boundaries. Where appropriate, comparisons are made between this approximate method and the more accurate boundary integral methods used in earlier calculations. It is found that the influence of nearby bubbles can be more important than the presence of boundaries. In confined geometries, such as a cylinder, or a cloud of bubbles, the effect of the volume change due to growth or collapse of the bubble can be important at much larger distances. The method provides valuable insight into bubble cloud phenomena.

41

Mutlu, Baris R., Jon F. Edd, and Mehmet Toner. "Oscillatory inertial focusing in infinite microchannels." Proceedings of the National Academy of Sciences 115, no. 30 (July 10, 2018): 7682–87. http://dx.doi.org/10.1073/pnas.1721420115.

Full text

APA, Harvard, Vancouver, ISO, and other styles

Abstract:

Inertial microfluidics (i.e., migration and focusing of particles in finite Reynolds number microchannel flows) is a passive, precise, and high-throughput method for microparticle manipulation and sorting. Therefore, it has been utilized in numerous biomedical applications including phenotypic cell screening, blood fractionation, and rare-cell isolation. Nonetheless, the applications of this technology have been limited to larger bioparticles such as blood cells, circulating tumor cells, and stem cells, because smaller particles require drastically longer channels for inertial focusing, which increases the pressure requirement and the footprint of the device to the extent that the system becomes unfeasible. Inertial manipulation of smaller bioparticles such as fungi, bacteria, viruses, and other pathogens or blood components such as platelets and exosomes is of significant interest. Here, we show that using oscillatory microfluidics, inertial focusing in practically “infinite channels” can be achieved, allowing for focusing of micron-scale (i.e. hundreds of nanometers) particles. This method enables manipulation of particles at extremely low particle Reynolds number (Rep < 0.005) flows that are otherwise unattainable by steady-flow inertial microfluidics (which has been limited to Rep > ∼10−1). Using this technique, we demonstrated that synthetic particles as small as 500 nm and a submicron bacterium, Staphylococcus aureus, can be inertially focused. Furthermore, we characterized the physics of inertial microfluidics in this newly enabled particle size and Rep range using a Peclet-like dimensionless number (α). We experimentally observed that α >> 1 is required to overcome diffusion and be able to inertially manipulate particles.

42

LIN, BERNARD L. S., JIAN LIU, ANDREW Y. Z. WANG, and JIEJUAN XIAO. "INFINITE FAMILIES OF CONGRUENCES FOR OVERPARTITIONS WITH RESTRICTED ODD DIFFERENCES." Bulletin of the Australian Mathematical Society 102, no. 1 (January 8, 2020): 59–66. http://dx.doi.org/10.1017/s0004972719001254.

Full text

APA, Harvard, Vancouver, ISO, and other styles

Abstract:

Let $\overline{t}(n)$ be the number of overpartitions in which (i) the difference between successive parts may be odd only if the larger part is overlined and (ii) if the smallest part is odd then it is overlined. Ramanujan-type congruences for $\overline{t}(n)$ modulo small powers of $2$ and $3$ have been established. We present two infinite families of congruences modulo $5$ and $27$ for $\overline{t}(n)$, the first of which generalises a recent result of Chern and Hao [‘Congruences for two restricted overpartitions’, Proc. Math. Sci. 129 (2019), Article 31].

43

Hong, Shaofang. "ASYMPTOTIC BEHAVIOR OF LARGEST EIGENVALUE OF MATRICES ASSOCIATED WITH COMPLETELY EVEN FUNCTIONS (MOD r)." Asian-European Journal of Mathematics 01, no. 02 (June 2008): 225–35. http://dx.doi.org/10.1142/s1793557108000217.

Full text

APA, Harvard, Vancouver, ISO, and other styles

Abstract:

Given an arbitrary strictly increasing infinite sequence [Formula: see text] of positive integers, let Sn = {x1,…, xn} for any integer n ≥ 1. Let q ≥ 1 be a given integer and f an arithmetical function. Let [Formula: see text] be the eigenvalues of the matrix (f(xi, xj)) having f evaluated at the greatest common divisor (xi, xj) of xi and xj as its i, j-entry. We obtain a lower bound depending only on x1 and n for [Formula: see text] if (f * μ)(d) < 0 whenever d|x for any x ∈ Sn, where g * μ is the Dirichlet convolution of f and μ. Consequently we show that for any sequence [Formula: see text], if f is a multiplicative function satisfying that f(pk) → ∞ as pk → ∞, f(2) > 1 and f(pm) ≥ f(2)f(pm−1) for any prime p and any integer m ≥ 1 and (f *μ)(d) > 0 whenever d|x for any [Formula: see text], then [Formula: see text] approaches infinity when n goes to infinity.

44

Nguyen, Hung T., Nhu T. Nguyen, and Tonghui Wang. "On Capacity Functionals in Interval Probabilities." International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems 05, no. 03 (June 1997): 359–77. http://dx.doi.org/10.1142/s0218488597000269.

Full text

APA, Harvard, Vancouver, ISO, and other styles

Abstract:

This paper addresses some basic issues concerning set-functions which are endpoints in interval probabilities. The property of alternating of infinite order of set-functions is investigated in detail. Generalizing a result of Graf (1980), we establish a necessary and sufficient condition for the existence of the Radon-Nikodym derivatives for a larger class of set functions, called submeasures.

45

Wang, C. Y. "Rotation of a Cylinder in a Casing at Zero Reynolds Number." Journal of Applied Mechanics 62, no. 3 (September 1, 1995): 662–66. http://dx.doi.org/10.1115/1.2895997.

Full text

APA, Harvard, Vancouver, ISO, and other styles

Abstract:

A finite solid cylinder rotates inside a larger, fluid-filled cylindrical casing. The Stokes equation is solved by an efficient method using domain decomposition, eigenfunction expansion, and collection. The resistive torque is found as a function of the geometric parameters. The torque due to the rotation of a finite cylinder in an infinite fluid is extrapolated.

46

Hou, Fei, Yu Bai, and Jun Dong. "Numerical Analysis of the 2-Dimensional Diffusion Models of Choride Ions Based on the FDM with Alternating Direction Implicit Schemes." Advanced Materials Research 1020 (October 2014): 92–97. http://dx.doi.org/10.4028/www.scientific.net/amr.1020.92.

Full text

APA, Harvard, Vancouver, ISO, and other styles

Abstract:

Chloride ion etching is a significant reason for the damage of the reinforced concrete structures. Diffusion effect is considered to be the main form of which the chloride ion invades into the reinforced concrete structures. Assuming infinite diffusion medium, based on the Chlorine ion diffusion equation, and accounting for the effects of temperature and moisture, models of chloride diffusion in two-dimensional infinite body with consistent coefficient of diffusion and different coefficient of diffusion in both directions are formulated .Two-dimensional chloride ion diffusion behavior was simulated, which proved the diffusion coefficient has a larger effect on the diffusion behavior of the chloride ion. Through these comparisons, we can analysis that model with different coefficient of diffusion in both directions is more suitable for the actual conditions.

47

Guesmia, Aissa. "NEW GENERAL DECAY RATES OF SOLUTIONS FOR TWO VISCOELASTIC WAVE EQUATIONS WITH INFINITE MEMORY." Mathematical Modelling and Analysis 25, no. 3 (May 13, 2020): 351–73. http://dx.doi.org/10.3846/mma.2020.10458.

Full text

APA, Harvard, Vancouver, ISO, and other styles

Abstract:

We consider in this paper the problem of asymptotic behavior of solutions for two viscoelastic wave equations with infinite memory. We show that the stability of the system holds for a much larger class of kernels and get better decay rate than the ones known in the literature. More precisely, we consider infinite memory kernels satisfying, where and are given functions. Under this very general assumption on the behavior of g at infinity and for each viscoelastic wave equation, we provide a relation between the decay rate of the solutions and the growth of g at infinity, which improves the decay rates obtained in [15, 16, 17, 19, 40]. Moreover, we drop the boundedness assumptions on the history data considered in [15, 16, 17, 40].

48

Miyazawa, Masakiyo, and Nico M. van Dijk. "A Note on Bounds and Error Bounds for Nonexponential Batch Arrival Systems." Probability in the Engineering and Informational Sciences 11, no. 2 (April 1997): 189–201. http://dx.doi.org/10.1017/s0269964800004757.

Full text

APA, Harvard, Vancouver, ISO, and other styles

Abstract:

This note studies the comparison of finite-buffer and nonexponential batch arrival systems of the form Gx/M/c/c + N with the corresponding systems, with N replaced by N', where N' can be smaller, larger, or infinite. If N' = ∞ the service times can be arbitrarily distributed. Both comparison and error bounds are obtained for performance measures such as the throughput, the idle probability, and the active server distribution. The results are of practical interest to establish computational reductions, either by infinite-space approximation or by reduced finite truncations. Two different proof techniques will be employed: the sample path approach and the Markov reward approach. The comparison of these two techniques is of interest in itself, showing the advantage and disadvantage of each.

49

Jin, Rong Rong, and Jia Hang Wang. "Data Processing in Moving Boundary Problems of One-Dimensional Non-Darcy Flow in Semi-Infinite Porous Media." Advanced Materials Research 977 (June 2014): 515–19. http://dx.doi.org/10.4028/www.scientific.net/amr.977.515.

Full text

APA, Harvard, Vancouver, ISO, and other styles

Abstract:

The paper establishes dimensionless mathematical models of the fluid flow in semi-infinite porous media with constant flow rate. Exact analytical solutions of these dimensionless mathematical models are derived by new definitions of dimensionless variables and Laplace transformation. Comparison curves of dimensionless moving boundary under different values of dimensionless Threshold Pressure Gradient (TPG) are plotted from newly proposed exact analytical solutions. An example is used to demonstrate pressure distribution in different positions with different TPG. It is shown that for the constant flow rate condition, the moving boundary extends to infinite in porous media with increasing production time. Steeper pressure curve is observed in larger TPG, which also exhibits greater pressure drop gradient and shorter pressure propagation distance at the same production time.

50

Duan, Jun-Sheng, Di-Chen Hu, and Ming Li. "Comparison of Two Different Analytical Forms of Response for Fractional Oscillation Equation." Fractal and Fractional 5, no. 4 (October 27, 2021): 188. http://dx.doi.org/10.3390/fractalfract5040188.

Full text

APA, Harvard, Vancouver, ISO, and other styles

Abstract:

The impulse response of the fractional oscillation equation was investigated, where the damping term was characterized by means of the Riemann–Liouville fractional derivative with the order α satisfying 0≤α≤2. Two different analytical forms of the response were obtained by using the two different methods of inverse Laplace transform. The first analytical form is a series composed of positive powers of t, which converges rapidly for a small t. The second form is a sum of a damped harmonic oscillation with negative exponential amplitude and a decayed function in the form of an infinite integral, where the infinite integral converges rapidly for a large t. Furthermore, the Gauss–Laguerre quadrature formula was used for numerical calculation of the infinite integral to generate an analytical approximation to the response. The asymptotic behaviours for a small t and large t were obtained from the two forms of response. The second form provides more details for the response and is applicable for a larger range of t. The results include that of the integer-order cases, α= 0, 1 and 2.