Academic literature on the topic 'S-equivalence relation'

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Journal articles on the topic "S-equivalence relation"

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KEARTON, C. "S-EQUIVALENCE OF KNOTS." Journal of Knot Theory and Its Ramifications 13, no. 06 (2004): 709–17. http://dx.doi.org/10.1142/s0218216504003408.

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S-equivalence of classical knots is investigated, as well as its relationship with mutation and the unknotting number. Furthermore, we identify the kernel of Bredon's double suspension map, and give a geometric relation between slice and algebraically slice knots. Finally, we show that every knot is S-equivalent to a prime knot.
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Marrakchi, Amine. "Stability of products of equivalence relations." Compositio Mathematica 154, no. 9 (2018): 2005–19. http://dx.doi.org/10.1112/s0010437x18007388.

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An ergodic probability measure preserving (p.m.p.) equivalence relation ${\mathcal{R}}$ is said to be stable if ${\mathcal{R}}\cong {\mathcal{R}}\times {\mathcal{R}}_{0}$ where ${\mathcal{R}}_{0}$ is the unique hyperfinite ergodic type $\text{II}_{1}$ equivalence relation. We prove that a direct product ${\mathcal{R}}\times {\mathcal{S}}$ of two ergodic p.m.p. equivalence relations is stable if and only if one of the two components ${\mathcal{R}}$ or ${\mathcal{S}}$ is stable. This result is deduced from a new local characterization of stable equivalence relations. The similar question on McDu
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Zahedi Khameneh, Azadeh, Adem Kilicman, and Fadzilah Md Ali. "Revision of Pseudo-Ultrametric Spaces Based on m-Polar T-Equivalences and Its Application in Decision Making." Mathematics 9, no. 11 (2021): 1232. http://dx.doi.org/10.3390/math9111232.

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In mathematics, distance and similarity are known as dual concepts. However, the concept of similarity is interpreted as fuzzy similarity or T-equivalence relation, where T is a triangular norm (t-norm in brief), when we discuss a fuzzy environment. Dealing with multi-polarity in practical examples with fuzzy data leadsus to introduce a new concept called m-polar T-equivalence relations based on a finitely multivalued t-norm T, and to study the metric behavior of such relations. First, we study the new operators including the m-polar triangular norm T and conorm S as well as m-polar implicatio
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GEE, CAROL GWOSDZ. "STRONG S-EQUIVALENCE OF ORDERED LINKS." Journal of Knot Theory and Its Ramifications 17, no. 08 (2008): 961–81. http://dx.doi.org/10.1142/s0218216508006476.

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In 2003, Naik and Stanford proved that two S-equivalent knots are related by a finite sequence of doubled-delta moves on their knot diagrams. We show that classical S-equivalence is not sufficient to extend their result to ordered links. We define a new algebraic relation on Seifert matrices, called strong S-equivalence, and prove that two oriented, ordered links L and L′ are related by a sequence of doubled-delta moves if and only if they are strongly S-equivalent. We also show that this is equivalent to the fact that L′ can be obtained from L through a sequence of Y-clasper surgeries, where
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GIORDANO, THIERRY, HIROKI MATUI, IAN F. PUTNAM, and CHRISTIAN F. SKAU. "The absorption theorem for affable equivalence relations." Ergodic Theory and Dynamical Systems 28, no. 5 (2008): 1509–31. http://dx.doi.org/10.1017/s0143385707000946.

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AbstractWe prove a result about extension of a minimal AF-equivalence relation R on the Cantor set X, the extension being ‘small’ in the sense that we modify R on a thin closed subset Y of X. We show that the resulting extended equivalence relation S is orbit equivalent to the original R, and so, in particular, S is affable. Even in the simplest case—when Y is a finite set—this result is highly non-trivial. The result itself—called the absorption theorem—is a powerful and crucial tool for the study of the orbit structure of minimal ℤn-actions on the Cantor set, see Remark 4.8. The absorption t
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Shaheen, Salma, and Muhammad Shabir. "Connections between Hv-S-act, GHS-act and S-act." Filomat 33, no. 18 (2019): 5777–89. http://dx.doi.org/10.2298/fil1918777s.

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The largest class of hyperstructures is the one which satisfies the weak properties and they are called Hv-structures. In this paper, the concept of Hv-S-act is introduced and some of their properties are investigated. The present paper establishes a possible connection between S-act, GHS-act and Hv-S-act. It is shown that the quotient of GHS-act with any equivalence relation is Hv-S-act. The main tool to study all hyperstructures is the fundamental relations. The study of fundamental relations in Hv-S-act reveals some interesting results. Specifically, these relations connect weak hyperaction
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Kim, Ki Hang, and Fred W. Roush. "On strong shift equivalence over a Boolean semiring." Ergodic Theory and Dynamical Systems 6, no. 1 (1986): 81–97. http://dx.doi.org/10.1017/s0143385700003308.

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AbstractShift equivalence is the relation between A, B that there exists S, R, n > 0 with RA = BR, AS = SB, SR = An, RS = Bn. Strong shift equivalence is the equivalence relation generated by these equations with n = 1. We prove that for many Boolean matrices strong shift equivalence is characterized by shift equivalence and a trace condition. However, we also show that if A is strongly shift equivalent to B, then there exists a homomorphism from an iterated directed edge graph of A to the graph of B preserving the traces of powers. This yields results on colourings of iterated directed edg
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IANOVSKI, EGOR, RUSSELL MILLER, KENG MENG NG, and ANDRÉ NIES. "COMPLEXITY OF EQUIVALENCE RELATIONS AND PREORDERS FROM COMPUTABILITY THEORY." Journal of Symbolic Logic 79, no. 3 (2014): 859–81. http://dx.doi.org/10.1017/jsl.2013.33.

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AbstractWe study the relative complexity of equivalence relations and preorders from computability theory and complexity theory. Given binary relationsR,S, a componentwise reducibility is defined byR≤S⇔ ∃f∀x, y[x R y↔f(x)S f(y)].Here,fis taken from a suitable class of effective functions. For us the relations will be on natural numbers, andfmust be computable. We show that there is a${\rm{\Pi }}_1^0$-complete equivalence relation, but no${\rm{\Pi }}_k^0$-complete fork≥ 2. We show that${\rm{\Sigma }}_k^0$preorders arising naturally in the above-mentioned areas are${\rm{\Sigma }}_k^0$-complete.
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Atanasiu, Adrian, and Wen Chean Teh. "A New Operator over Parikh Languages." International Journal of Foundations of Computer Science 27, no. 06 (2016): 757–69. http://dx.doi.org/10.1142/s0129054116500271.

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The characterization of M-equivalence for the Parikh matrices is a decade old open problem. This paper studies Parikh matrices and M-equivalence in relation to the s-shuffle operator for the binary alphabet. We also study the distance between images under the s-shuffle operator in a graph associated to the corresponding class of M-equivalent words.
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Djurcic, Dragan, Valentina Konjokrad, and Rale Nikolic. "Asymptotic similarity relation and generalized inverse." Filomat 26, no. 5 (2012): 1075–80. http://dx.doi.org/10.2298/fil1205075d.

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In this paper we discuss relationships among asymptotic similarity, weak asymptotic equivalence and the generalized inverse in the class A of all nondecreasing unbounded positive functions on a half-axis [a, +?) (a > 0). As a main result, we prove proper characterizations of some classes of functions in Karamata?s theory of regular and rapid variation.
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Dissertations / Theses on the topic "S-equivalence relation"

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Magnifo, Kahou Florence Laure. "Propriétés algébriques d'une algèbre de convolution." Thèse, 2009. http://hdl.handle.net/1866/6624.

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Book chapters on the topic "S-equivalence relation"

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Yablo, Stephen. "Varieties of Aboutness." In Aboutness. Princeton University Press, 2014. http://dx.doi.org/10.23943/princeton/9780691144955.003.0003.

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A few philosophers have tried to think systematically about subject matter. Gilbert Ryle thought a sentence was about the items mentioned in it. Nelson Goodman thought it was about the items mentioned in certain consequences. David Lewis was the first to consider subject matters as entities in their own right, and the first to link a sentence's subject matter to what it says, as opposed to what it mentions. Lewisian subject matters are equivalence relations on, or partitions of, logical space. A sentence S is wholly about m if its truth-value in a world w is fixed by how matters stand m-wise in w. But he never identified anything as the subject matter of sentence S—the one it is exactly about. This chapter defines it as the m that distinguishes worlds according to S's changing ways of being true in them. Subject anti-matter is defined analogously, and S's overall subject matter is the two together. Aboutness comes out independent of truth-value, as we would hope. A sentence is not about anything different from its negation.
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"and σ +σ { , respectively, the KL } D ( for PBE ) is 111d(f ) = (µ −µ ) + − 2. (7.17) 2 σ For IBE, the { KLD is 1 }( ) d(f ) = (µ +σ + 2 − 2, 2 σ σWR (7.18) where σ = Var(s ) = σ − 2ρσ σBR . Advantages of using the KLD are that it: (1) possesses a natural hi-erarchical property such that IBE implies PBE and PBE implies ABE, (2) satisfies the properties of a true distance metric, (3) is invariant to monotonic transformations of the data, (4) generalizes easily to the mul-tivariate case where equivalence on more than one parameter (e.g., AUC, Cmax and Tmax) is required and (5) is applicable over a wide range of distributions of the response variable (e.g., those in the exponential fam-ily). Patterson et al. (2001) and Dragalin et al. (2002), described the results of a simulation study and a retrospective analysis of 22 replicate design datasets, to compare testing for IBE using the KLD with testing based on the FDA-recommended metric defined earlier in Section 7.4. One notable finding of these studies was that the KLD metric identified more datasets as being of concern than the FDA-recommended metric. This appeared to be due to ability of the FDA-recommended metric to reward novel formulations for which the within-subject variance is decreased relative to the reference. 7.8 Modelling pharmacokinetic data Although AUC and Cmax are adequate for testing for bioequivalence, there is sometimes a need to model the drug concentrations over time. Fitting such models aids the understanding of how the drug is absorbed and eliminated from the body, as well as allowing model-based estimates of AUC and Cmax to be obtained. A popular type of model that is fitted in these circumstances is the compartmental model, which considers the body as made up of a number of compartments through which the drug circulates. For example, the circulating blood might be considered as the single compartment in a one-compartment model. If a drug is taken orally as a tablet, say, the drug is absorbed into this compartment as the tablet dissolves in the stomach and is eliminated from this compartment by (among other things) the actions of the liver and kidneys. While the tablet is still being dissolved in the stomach, the rate of absorption of the drug into the circulating blood is greater than the rate that is eliminated." In Design and Analysis of Cross-Over Trials. Chapman and Hall/CRC, 2003. http://dx.doi.org/10.1201/9781420036091-27.

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Conference papers on the topic "S-equivalence relation"

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Dunn, Ian, and Kareem Ahmed. "Multiphase Rotating Detonation Engine." In ASME Turbo Expo 2020: Turbomachinery Technical Conference and Exposition. American Society of Mechanical Engineers, 2020. http://dx.doi.org/10.1115/gt2020-15017.

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Abstract The first experimental evidence of a solid-gas multiphase rotating detonation engine. Coal particles, carbon black with a volatility of 1% and a carbon concentration of 99%, were detonated successfully over many operational parameters. These operational parameters surrounding the various points of investigation are shown in multiple 2-D slices as well as plotted in one 3-D graph to show the effects of varying carbon concentrations. These parameters include: variation in total mass flux injected into the annulus ranging from (≅120–270 kg/(s*m2), variation in hydrogen-air equivalence ra
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Idahosa, Uyi, Abhishek Saha, Chengying Xu, and Saptarshi Basu. "Characterization of Combustion Dynamics in Swirl Stabilized Flames." In ASME 2009 Power Conference. ASMEDC, 2009. http://dx.doi.org/10.1115/power2009-81168.

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This paper investigates flame frequency response relative to changes in swirl intensity and equivalence ratio in a non-premixed swirl stabilized burner. The degree of swirl in the burner is characterized by the swirl number (S) provided by circumferentially distributed air supply ports directed tangentially to the main axial air flow. Equivalence ratio variations are induced using varying constant, linear ramp and exponentially decaying fuel (propane) flow rates towards blowoff. The variations in the air speed at the exit of the burner (U) are measured with an anemometer located at the base of
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Zarka, Joseph, and Habib Karaouni. "Fatigue During Multi-Axial Random Loadings." In 10th International Conference on Nuclear Engineering. ASMEDC, 2002. http://dx.doi.org/10.1115/icone10-22027.

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During classical analysis, some special methods to extract and to count the cycles from the random stress path (very often, the Rainflow method) are used and it is needed to cumulate “damage” based on some S-N diagrams and the linear Miner-Palmgreen rule or some more elaborated non linear rules. The “damage” factor (scalar or tensor) is still the object of many researches; it is impossible to measure it during the whole loading path, even if, before failure, some slight changes on the elastic properties may be experimentally detected. Moreover, the representations of the loading and the counti
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Straub, D. L., B. T. Chorpening, E. D. Huckaby, J. D. Thornton, and W. L. Fincham. "Time-Varying Flame Ionization Sensing Applied to Natural Gas and Propane Blends in a Pressurized Lean Premixed (LPM) Combustor." In ASME Turbo Expo 2008: Power for Land, Sea, and Air. ASMEDC, 2008. http://dx.doi.org/10.1115/gt2008-51210.

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In-situ monitoring of combustion phenomena is a critical need for optimal operation and control of advanced gas turbine combustion systems. The concept described in this paper is based on naturally occurring flame ionization processes that accompany the combustion of hydrocarbon fuels. Previous work has shown that flame ionization techniques may be applied to detect flashback, lean blowout, and some aspects of thermo-acoustic combustion instabilities. Previous work has focused on application of DC electric fields. By application of time-varying electric fields, significant improvements to sens
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Turner, Mattias A., Tyler Paschal, Waruna D. Kulatilaka, and Eric L. Petersen. "An Investigation of Laminar Flame Speed of CH4-O2-CO2 Mixtures." In ASME Turbo Expo 2019: Turbomachinery Technical Conference and Exposition. American Society of Mechanical Engineers, 2019. http://dx.doi.org/10.1115/gt2019-91392.

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Abstract The push for lower carbon emissions in power generation has driven interest in methods of carbon capture and sequestration. One such promising method involves the supercritical CO2 (sCO2) power cycle, a system which is powered by oxy-fuel combustion where supercritical carbon dioxide is used as the working fluid. The high CO2 concentration in the combustion products allows for relatively simple extraction of CO2 from the system. Although this is an active field of research, the design of such a combustor requires continued study of oxy-fuel combustion in high levels of CO2 diluent. Wi
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He, Changjiang, Zhongdong Duan, and Jinping Ou. "Numerical Simulation of Vortex-Induced Vibrations on a Flexible Riser in Uniform Currents." In ASME 2010 29th International Conference on Ocean, Offshore and Arctic Engineering. ASMEDC, 2010. http://dx.doi.org/10.1115/omae2010-20178.

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A numerical model in a quasi-three-dimensional fashion is developed in this paper to simulate vortex-induced vibration of a flexible riser (the aspect ratio = 250, mass ratio, m* = 2.9, damping ratio, ζ = 0.01) in uniform current U∞ = [0.06, 0.80] m/s, (Reynolds number, Re = [0.01, 1.28]×104). Finite element method are and Finite volume method are applied in the structural and fluid domains respectively. Effects of fluid-structure interaction (FSI) are reckoned in by making use of kinematic equivalence of the relative flow between fluid and the body in inertial and non-inertial frames of refer
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Lilley, David G. "Calculations Related to Municipal Solid Waste MSW Burning Under High Temperature Air Combustion HiTAC Conditions." In ASME 2007 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. ASMEDC, 2007. http://dx.doi.org/10.1115/detc2007-34864.

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New “high temperature air combustion” HiTAC technologies are evolving for the incineration of municipal solid waste for energy production and minimal pollution. As a contribution to this area of current research interest, a calculation procedure has been developed that permits rapid generation of general fuel-air combustion with many parameter variations. The program calculations are via Excel/VBA with immediate graphics of the parameter effects on the results. Thus, an extensive range of parameter effects may be quickly investigated and assessed. The very-general fuel is specified by way of i
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