Academic literature on the topic 'Set-Partial Sum Theory'
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Journal articles on the topic "Set-Partial Sum Theory"
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Georgiev Georgiev, Svetlin, and Karima Mebarki. "On fixed point index theory for the sum of operators and applications to a class of ODEs and PDEs." Applied General Topology 22, no. 2 (October 1, 2021): 259. http://dx.doi.org/10.4995/agt.2021.13248.
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The aim of this work is two fold: first we extend some results concerning the computation of the fixed point index for the sum of an expansive mapping and a $k$-set contraction obtained in \cite{DjebaMeb, Svet-Meb}, to the case of the sum $T+F$, where $T$ is a mapping such that $(I-T)$ is Lipschitz invertible and $F$ is a $k$-set contraction. Secondly, as illustration of some our theoretical results, we study the existence of positive solutions for two classes of differential equations, covering a class of first-order ordinary differential equations (ODEs for short) posed on the positive half-line as well as a class of partial differential equations (PDEs for short).
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Isaacs, I. M. "Induction and Restriction of π-Partial Characters and their Lifts." Canadian Journal of Mathematics 48, no. 6 (December 1, 1996): 1210–23. http://dx.doi.org/10.4153/cjm-1996-064-9.
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AbstractLet G be a finite π-separable group, where π is a set of primes. The π-partial characters of G are the restrictions of the ordinary characters to the set of π-elements of G. Such an object is said to be irreducible if it is not the sum of two nonzero partial characters and the set of irreducible π- partial characters of G is denoted Iπ(G). (If p is a prime and π = p′, then Iπ(G) is exactly the set of irreducible Brauer characters at p.)From their definition, it is obvious that each partial character φ ∊ Iπ(G) can be “lifted” to an ordinary character χ ∊ Irr(G). (This means that φ is the restriction of χ to the π-elements of G.) In fact, there is a known set of canonical lifts Bπ(G) ⊆ Irr(G) for the irreducible π-partial characters. In this paper, it is proved that if 2 ∉ π, then there is an alternative set of canonical lifts (denoted Dπ(G)) that behaves better with respect to character induction.An application of this theory to M-groups is presented. If G is an M-group and S ⊆ G is a subnormal subgroup, consider a primitive character θ ⊆ Irr(S). It was known previously that if |G : S| is odd, then θ must be linear. It is proved here without restriction on the index of S that θ(1) is a power of 2.
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Wang, Zhaohao. "A New Description of Transversal Matroids Through Rough Set Approach." Fundamenta Informaticae 179, no. 4 (May 12, 2021): 399–416. http://dx.doi.org/10.3233/fi-2021-2030.
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Matroid theory is a useful tool for the combinatorial optimization issue in data mining, machine learning and knowledge discovery. Recently, combining matroid theory with rough sets is becoming interesting. In this paper, rough set approaches are used to investigate an important class of matroids, transversal matroids. We first extend the concept of upper approximation number functions in rough set theory and propose the notion of generalized upper approximation number functions on a set system. By means of the new notion, we give some necessary and sufficient conditions for a subset to be a partial transversal of a set system. Furthermore, we obtain a new description of a transversal matroid by the generalized upper approximation number function. We show that a transversal matroid can be induced by the generalized upper approximation number function which can be decomposed into the sum of some elementary generalized upper approximation number functions. Conversely, we also prove that a generalized upper approximation number function can induce a transversal matroid. Finally, we apply the generalized upper approximation number function to study the relationship among transversal matroids.
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SAPAR, S. H., and K. A. MOHD ATAN. "A METHOD OF ESTIMATING THE p-ADIC SIZES OF COMMON ZEROS OF PARTIAL DERIVATIVE POLYNOMIALS ASSOCIATED WITH A QUINTIC FORM." International Journal of Number Theory 05, no. 03 (May 2009): 541–54. http://dx.doi.org/10.1142/s1793042109002249.
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It is known that the value of the exponential sum [Formula: see text] can be derived from the estimate of the cardinality |V|, the number of elements contained in the set [Formula: see text] where [Formula: see text] is the partial derivatives of [Formula: see text] with respect to [Formula: see text]. The cardinality of V in turn can be derived from the p-adic sizes of common zeros of the partial derivatives [Formula: see text]. This paper presents a method of determining the p-adic sizes of the components of (ξ,η) a common root of partial derivative polynomials of f(x,y) in Zp[x,y] of degree five based on the p-adic Newton polyhedron technique associated with the polynomial. The degree five polynomial is of the form f(x,y) = ax5 + bx4y + cx3y2 + sx + ty + k. The estimate obtained is in terms of the p-adic sizes of the coefficients of the dominant terms in f.
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Palmgren, Erik. "A construction of type: type in Martin-Löf's partial type theory with one universe." Journal of Symbolic Logic 56, no. 3 (September 1991): 1012–15. http://dx.doi.org/10.2307/2275068.
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In this note we construct Martin-Löf's inconsistent type theory, Type: Type (Martin-Löf [1971]), inside partial type theory with one universe. Thus adding a fixed point operator to type theory with one predicative universe gives impredicativity.We may describe the theory Type:Type as follows. It contains the rules for the product construction (II) of Martin-Löf [1984] except the η-rule and it contains the usual rules for definitional equality (=). Moreover it contains the following strongly impredicative universeThis theory is inconsistent (i.e. every set is inhabited), and this is seen by proving a variant of the Burali—Forti paradox—Girard's paradox—cf. Troelstra and van Dalen [1988]. Coquand [199?] has shown that by adding the well-order type and the strong dependent sum to the universe, the fixed point operator becomes definable. It is an open problem whether it is definable without the well-order type. The present result could be seen as a converse, namely by adding the fixed point operator to type theory with one universe, Type:Type becomes definable and, as is already known, so does the well-order type.
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Wakakuwa, Eyuri, and Yoshifumi Nakata. "One-Shot Randomized and Nonrandomized Partial Decoupling." Communications in Mathematical Physics 386, no. 2 (July 16, 2021): 589–649. http://dx.doi.org/10.1007/s00220-021-04136-5.
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AbstractWe introduce a task that we call partial decoupling, in which a bipartite quantum state is transformed by a unitary operation on one of the two subsystems and then is subject to the action of a quantum channel. We assume that the subsystem is decomposed into a direct-sum-product form, which often appears in the context of quantum information theory. The unitary is chosen at random from the set of unitaries having a simple form under the decomposition. The goal of the task is to make the final state, for typical choices of the unitary, close to the averaged final state over the unitaries. We consider a one-shot scenario, and derive upper and lower bounds on the average distance between the two states. The bounds are represented simply in terms of smooth conditional entropies of quantum states involving the initial state, the channel and the decomposition. Thereby we provide generalizations of the one-shot decoupling theorem. The obtained result would lead to further development of the decoupling approaches in quantum information theory and fundamental physics.
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Senchenkov, Valentin, Damir Absalyamov, and Dmitriy Avsyukevich. "Definition of Set of diagnostic Parameters of System based on the Functional Spaces Theory." SPIIRAS Proceedings 18, no. 4 (July 18, 2019): 949–75. http://dx.doi.org/10.15622/sp.2019.18.4.949-975.
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The development of methodical and mathematical apparatus for formation of a set of diagnostic parameters of complex technical systems, the content of which consists of processing the trajectories of the output processes of the system using the theory of functional spaces, is considered in this paper. The trajectories of the output variables are considered as Lebesgue measurable functions. It ensures a unified approach to obtaining diagnostic parameters regardless a physical nature of these variables and a set of their jump-like changes (finite discontinuities of trajectories). It adequately takes into account a complexity of the construction, a variety of physical principles and algorithms of systems operation. A structure of factor-spaces of measurable square Lebesgue integrable functions, ( spaces) is defined on sets of trajectories. The properties of these spaces allow to decompose the trajectories by the countable set of mutually orthogonal directions and represent them in the form of a convergent series. The choice of a set of diagnostic parameters as an ordered sequence of coefficients of decomposition of trajectories into partial sums of Fourier series is substantiated. The procedure of formation of a set of diagnostic parameters of the system, improved in comparison with the initial variants, when the trajectory is decomposed into a partial sum of Fourier series by an orthonormal Legendre basis, is presented. A method for the numerical determination of the power of such a set is proposed.
New aspects of obtaining diagnostic information from the vibration processes of the system are revealed. A structure of spaces of continuous square Riemann integrable functions ( spaces) is defined on the sets of vibrotrajectories. Since they are subspaces in the afore mentioned factor-spaces, the general methodological bases for the transformation of vibrotrajectories remain unchanged. However, the algorithmic component of the choice of diagnostic parameters becomes more specific and observable. It is demonstrated by implementing a numerical procedure for decomposing vibrotrajectories by an orthogonal trigonometric basis, which is contained in spaces. The processing of the results of experimental studies of the vibration process and the setting on this basis of a subset of diagnostic parameters in one of the control points of the system is provided.
The materials of the article are a contribution to the theory of obtaining information about the technical condition of complex systems. The applied value of the proposed development is a possibility of their use for the synthesis of algorithmic support of automated diagnostic tools.
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Longo, Alessandra, Elide Nastri, and Vincenzo Piluso. "Theory of Plastic Mechanism Control: State-of-The-Art." Open Construction and Building Technology Journal 8, no. 1 (December 31, 2014): 262–78. http://dx.doi.org/10.2174/1874836801408010262.
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In this paper, the state-of-the-art regarding the “Theory of Plastic Mechanism Control” (TPMC) is presented. TPMC is aimed at the design of structures assuring a collapse mechanism of global type. The theory has been developed in the nineties with reference to moment-resisting steel frames (MRFs) and progressively extended to all the main structural typologies commonly adopted as seismic-resistant structural systems. In particular, the outcome of the theory is the sum of the plastic moments of the columns required, at each storey, to prevent undesired failure modes, i.e. partial mechanisms and soft-storey mechanisms. The theory is used to provide the design conditions to be satisfied, in the form of a set of inequalities where the unknowns are constituted by the column plastic moments. Even though the set of inequalities was originally solved by means of an algorithm requiring an iterative procedure, now, thanks to new advances, a “closed form solution” has been developed. This result is very important, because the practical application of TPMC can now be carried out even with very simple hand calculations. In order to show the simplicity of the new procedure, numerical applications are herein presented in detail with reference to Moment Resisting Frames (MRFs) and dual systems both composed by Moment Resisting Frames and Eccentrically Braces Frames (MRF-EBFs) with inverted Y scheme and composed by Moment Resisting Frames and Concentrically Braced Frames (MRF-CBFs) with X-braced scheme and V-braced scheme. Finally, the pattern of yielding obtained is validated by means of both push-over analyses and incremental dynamic analyses. A comparison in terms of structural weight of the designed structures is also presented and the corresponding seismic performances are discussed.
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Dutta, Palash. "Medical Diagnosis Based on Distance Measures Between Picture Fuzzy Sets." International Journal of Fuzzy System Applications 7, no. 4 (October 2018): 15–36. http://dx.doi.org/10.4018/ijfsa.2018100102.
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This article describes how most frequently uncertainty arises due to vagueness, imprecision, partial information, etc., are encountered in medical diagnosis. To deal with this type of uncertainty, initially fuzzy set theory (FST) was explored and accordingly, medical decision making became one of the most important and interesting areas of applications of FST. Interval valued fuzzy sets (IVFSs) and intuitionistic fuzzy sets (IFS's) were developed and successfully applied in different areas including medical diagnosis. Although, IFS forms a membership degree and a non-membership degree separately in such a way that sum of the two degrees must not exceed one, but one of the important and integral part i.e., degree of neutrality is not taken into consideration in IFS, which is generally occurred in medical diagnosis. In such circumstances, picture fuzzy set (PFS) can be considered as a strong mathematical tool, which adequate in situations when human opinions involved more answers of type: yes, abstain, no. For this purpose, this article, proposes some distance measures on PFS and studies some of its properties. Also, an attempt has been made to carry out medical diagnosis via the proposed distance measures on PFSs and exhibit the technique with a suitable case study. It is found that the distance measures make it possible to introduce weights of all symptoms and consequently patient can be diagnosed directly.
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Dai, Yichen, Weiwei Hu, Jiahong Wu, and Bei Xiao. "The Littlewood–Paley decomposition for periodic functions and applications to the Boussinesq equations." Analysis and Applications 18, no. 04 (February 6, 2020): 639–82. http://dx.doi.org/10.1142/s0219530519500234.
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The Littlewood–Paley decomposition for functions defined on the whole space [Formula: see text] and related Besov space techniques have become indispensable tools in the study of many partial differential equations (PDEs) with [Formula: see text] as the spatial domain. This paper intends to develop parallel tools for the periodic domain [Formula: see text]. Taking advantage of the boundedness and convergence theory on the square-cutoff Fourier partial sum, we define the Littlewood–Paley decomposition for periodic functions via the square cutoff. We remark that the Littlewood–Paley projections defined via the circular cutoff in [Formula: see text] with [Formula: see text] in the literature do not behave well on the Lebesgue space [Formula: see text] except for [Formula: see text]. We develop a complete set of tools associated with this decomposition, which would be very useful in the study of PDEs defined on [Formula: see text]. As an application of the tools developed here, we study the periodic weak solutions of the [Formula: see text]-dimensional Boussinesq equations with the fractional dissipation [Formula: see text] and without thermal diffusion. We obtain two main results. The first assesses the global existence of [Formula: see text]-weak solutions for any [Formula: see text] and the existence and uniqueness of the [Formula: see text]-weak solutions when [Formula: see text] for [Formula: see text]. The second establishes the zero thermal diffusion limit with an explicit convergence rate.
Book chapters on the topic "Set-Partial Sum Theory"
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"Anonymous Statistics Calculation." In Anonymous Security Systems and Applications, 124–32. IGI Global, 2012. http://dx.doi.org/10.4018/978-1-4666-1649-3.ch008.
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This chapter introduces schemes for anonymous statistics calculations, in which an entity or a set of entities calculate functions of data owned by other entities without knowing their values. Although schemes that can be applied to calculate general functions exist, they are not practical enough, therefore schemes applicable only to limited number of functions, e.g. averages, variances, auto-, and cross-correlations are discussed. They are blind sum/product calculation schemes, partial computation based multi party computation schemes, and re-encryption based multi party computation schemes.
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Yuhua, Fu. "Computer Information Library Clusters." In Encyclopedia of Information Science and Technology, Fourth Edition, 4399–403. IGI Global, 2018. http://dx.doi.org/10.4018/978-1-5225-2255-3.ch382.
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Based on creating generalized and hybrid set and library with neutrosophy and quad-stage method, this paper presents the concept of “computer information library clusters” (CILC). There are various ways and means to form CILC. For example, CILC can be considered as the “total-library”, and consists of several “sub-libraries”. As another example, in CILC, a “total-library” can be set up, and a number of “sub-libraries” are side by side with the “total-library”. Specially, for CILC, the operation functions can be added; for example, according to “natural science computer information library clusters” (natural science CILC), and applying “variation principle of library (or sub-library)”, “partial and temporary unified theory of natural science so far” with different degrees can be established. Referring to the concept of “natural science CILC”, the concepts of “social science CILC”, “natural science and social science CILC”, and the like, can be presented. While, referreing to the concept of “computer information library clusters”, the concepts of “computer and non-computer information library clusters”, “earth information library clusters”, “solar system information library clusters”, “Milky Way galaxy information library clusters”, “universe information library clusters”, and the like, can be presented.
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Yuhua, Fu. "Computer Information Library Clusters." In Advances in Library and Information Science, 142–47. IGI Global, 2019. http://dx.doi.org/10.4018/978-1-5225-7659-4.ch012.
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Based on creating generalized and hybrid set and library with neutrosophy and quad-stage method, this chapter presents the concept of computer information library clusters (CILC). There are various ways and means to form CILC. For example, CILC can be considered as the “total-library” and consists of several “sub-libraries.” As another example, in CILC, a total-library can be set up, and a number of sub-libraries are side by side with the total-library. Specially, for CILC, the operation functions can be added; for example, according to natural science computer information library clusters (natural science CILC), and applying variation principle of library (or sub-library), partial and temporary unified theory of natural science so far with different degrees can be established. Referring to the concept of natural science CILC, the concepts of social science CILC, natural science and social science CILC, and the like can be presented. While referring to the concept of computer information library clusters, the concepts of computer and non-computer information library clusters, earth information library clusters, solar system information library clusters, Milky Way galaxy information library clusters, universe information library clusters, and the like can be presented.
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Erdos, David. "Third-Generation European Data Protection Law and Professional Journalism." In European Data Protection Regulation, Journalism, and Traditional Publishers, 151–81. Oxford University Press, 2019. http://dx.doi.org/10.1093/oso/9780198841982.003.0008.
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This chapter explores the legislative interface between data protection and the professional journalistic media under the General Data Protection Regulation (GDPR). Like the Data Protection Directive (DPD), the GDPR mandates that States adopt derogations ‘necessary’ for reconciling two competing fundamental rights. However, broadly mirroring the situation under the DPD, there remain considerable differences at local level. Northern European countries have tended to set out wide and deep derogations for journalism, whilst Southern and Eastern Europe have often stipulated that this activity adhere to strict data protection standards. These differences map on to broader cultural fissures as regards attitudes to individualism, uncertainty avoidance, and power differences in society. Nevertheless, these outcomes are slightly more balanced than under the DPD. In particular, almost half the States have set out partial statutory limits to the supervisory powers of the Data Protection Authority here. Approximately one-third of States also continue to formalize a co-regulatory connection between statutory and self-regulation. However, a widespread problem has emerged concerning the statutory treatment of media/news archiving. In sum, although the GDPR mandates derogations here, only around one-third of European Economic Area (EEA) States have explicitly provided that the journalism regime can apply to public interest archiving which is subject to its own default regime in the GDPR.
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Furas, Yoni. "Epilogue." In Educating Palestine, 275–78. Oxford University Press, 2020. http://dx.doi.org/10.1093/oso/9780198856429.003.0010.
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While working on this book at a library in Tel Aviv University, a librarian asked me to sum up my research in one sentence and remarked that knowing how to do it was essential to all researchers. Giving her a definite answer was a challenging task then and it remains so now while summing up this book. Initially, it is a book about the Mandate period, but while writing the history of education, the late Ottoman period appears not only as background but as the essential foundations of the postwar reality. This was not confined to the educators that filled the ranks of Arab and Hebrew educational administration during the Mandate. The institutionalization of educational segregation and inability or reluctance to challenge it started before the first British soldier set foot in Palestine. This is a book about the British colonial project in Palestine and its grave repercussions in the field of education for its native population. The colonial Department advocated a policy of educational restraint, articulated in a history syllabus that sought to cleanse history itself from collective lessons, national ethos, and political agency. But the colonial angle tells only a partial story because this policy was met with a growing community of Palestinian educators and students who (naturally) found in the past a space in which they could ask questions about the present, and events or people that served as inspiration and possible models for the future....
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Kim, Steven. "Quality of Ideas and Solutions." In Essence of Creativity. Oxford University Press, 1990. http://dx.doi.org/10.1093/oso/9780195060171.003.0006.
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We pass judgment on the value of scientific results. For example, we may feel that the periodic table of elements is of greater significance than the understanding that hydrogen is lighter than oxygen. For one thing, the latter fact may be deduced from an understanding of the periodic table. In this way, we may ascribe a measure of quality to an idea. The quality of an idea is subjective, and cannot be assigned an absolute value. However, it is possible to give a partial ordering and claim that idea A is of higher, lower, or equal worth in relation to idea B. The judgment of the relative importance of ideas is made routinely, for example, by an instructor in delivering a lecture or writing a book. The assignment of value occurs implicitly in the selection of topics and their relative emphasis. Once we admit a preference ordering among ideas, we may also assign an arbitrary numerical scale to them. This practice is standard in the field of economics, where a preference ordering among goods suggests a measure of utility. Since each consumer has individual tastes and needs, the resulting utility function varies from one person to another even for the same basket of goods. Further, the preferences are subjective and relative, rather than absolute. As a result, the level of utility can be based only on a conceptual scale. The basic measure of utility is an arbitrary unit called a util. In a similar way, we may assign a quality metric in terms of a granular unit of a qual. A person may assign a particular set of quals to a portfolio of ideas based on his own tastes and predilictions. A second person may offer a completely different set of quality values. This conception of an individual ordering of ideas is consistent with the view of difficulty and creativity as relative rather than absolute parameters. To pursue this line of reasoning, we may also speak of the combined quality of two or more ideas. The value of a set of ideas may be greater than, equal to, or less than the sum of the individual values.
Conference papers on the topic "Set-Partial Sum Theory"
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Davoodi, Arash Gholami, and Syed A. Jafar. "Degrees of Freedom Region of the (M, N1, N2) MIMO Broadcast Channel with Partial CSIT: An Application of Sum-set Inequalities." In 2019 IEEE International Symposium on Information Theory (ISIT). IEEE, 2019. http://dx.doi.org/10.1109/isit.2019.8849793.
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Fonn, Eivind, Adil Rasheed, Mandar Tabib, and Trond Kvamsdal. "A Step Towards a Reduced Order Modelling of Flow Characterized by Wakes Using Proper Orthogonal Decomposition." In ASME 2017 36th International Conference on Ocean, Offshore and Arctic Engineering. American Society of Mechanical Engineers, 2017. http://dx.doi.org/10.1115/omae2017-62435.
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High fidelity simulations of flow might be quite demanding, because they involve up to O(106 – 109) degrees of freedom and several hours (or even days) of computational time, also on powerful hardware parallel architectures. Thus, high-fidelity techniques can become prohibitive when we expect them to deal quickly and efficiently with the repetitive solution of partial differential equations. One set of partial differential equation that we encounter on a regular basis is the Navier Stokes Equation which is used to simulate flow around complex geometries like sub-sea structures. To address the issues associated with computational efficiency, a field of Reduced Order Modelling is evolving fast. In this paper we investigate Proper Orthogonal Decomposition as a potential method for constructing reduced bases for Reduced Order Models. In the case of flows around cylindrical bodies we found that only a few modes were sufficient to represent the dominant flow structures and energies associated with them making POD to be an attractive candidate for bases construction.
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Olunloyo, Vincent O. S., Charles A. Osheku, and Adekunle O. Adelaja. "On the Mechanics of Pipewalking: Case of a Buried Pipeline." In ASME 2010 29th International Conference on Ocean, Offshore and Arctic Engineering. ASMEDC, 2010. http://dx.doi.org/10.1115/omae2010-20094.
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The influence of soil sedimentation on the pipe walking phenomenon is investigated analytically via a set of coupled nonlinear partial differential equations where the effects of operating variables such as internal fluid temperature variation, prestress and internal pressurization, Coriolis and axial accelerations of the internal fluid and cross sectional area change are fully captured. For this problem, a segment of an offshore pipeline resting on the ocean floor is idealized as elastic beam on an elastic foundation using recently refined Euler-Bernoulli beam theory. By invoking integral transforms, closed form analytical expressions for displacement of the fluid-pipe-soil interaction system associated with pipe walking is computed. Simulated results showed that pipe walking phenomenon is strongly dependent on sedimentation level, friction at the interface of pipe-ocean sub soil layer, temperature variation, fluctuations in internal fluid pressurisation and oscillatory strain of the pipe in both transverse and longitudinal modes.
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Badami, Marco, Ilaria Mangiantini, Armando Portoraro, Vittorio Verda, and Elisa Vigliani. "Thermoeconomic Analysis of an Organic Rankine Cycle Coupled to an ICE-Based Cogeneration Plant." In ASME 2016 International Mechanical Engineering Congress and Exposition. American Society of Mechanical Engineers, 2016. http://dx.doi.org/10.1115/imece2016-66519.
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This paper presents a mathematical model for the thermo-economic evaluation of an Organic Rankine Cycle (ORC), which recovers exhaust gases from an internal combustion engine (ICE) based cogeneration plant, currently in operation in Turin, Italy. The model is based on a complete set of experimental data of the plant, for both nominal and partial load operation conditions. The main components of the ORC plant have been modelled and a thermo-economic analysis has been carried out for each component. The aim of the paper is to perform a thermo-economic analysis of the system through the Theory of Exergetic Cost, in order to provide a complete diagnosis of the plant, by quantifying the performances of the whole system and its sub-systems, and by determining the monetary costs and the exergetic costs. The model can represent a useful decision-making tool for the optimal design of similar plants.
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Taniguchi, Tomoyo, and Yukihiro Katayama. "Masses of Fluid Contributing to Rocking Motion of Cylindrical Tanks With Partial Uplift of Bottom Plate." In ASME 2014 Pressure Vessels and Piping Conference. American Society of Mechanical Engineers, 2014. http://dx.doi.org/10.1115/pvp2014-28634.
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Accurate and easy calculation of the mass of fluid contributing to the rocking motion of cylindrical tanks with partial uplift of bottom plate, which is the effective mass of fluid for rocking motion, that for rocking-bulging interaction, effective moment inertia of fluid for rocking motion and their centroid, is proposed. Asymmetric deformation of the tank bottom plate due to crescent-like uplift is used to put quantification of the masses away from rigorous treatments. This study considers the cylindrical tank as a set of thin rectangular tanks, so-called a slice model, and puts them perpendicular to the rotational axis of the tank rock motion. Then solve a boundary-value problem of each slice model specified by uplift of the tank bottom plate and its location, the mass of fluid contributing to rocking of cylindrical tanks is quantified as the sum of that of each slice model. Values of the effective mass of fluid for rocking motion, that for rocking-bulging interaction, effective moment inertia of fluid for rocking motion and their centroid are tabulated and depicted as a function of the aspect of tanks for different values of the ratio of the uplift width of the tank bottom plate to the diameter of tank.
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Alijani, F., M. Amabili, and K. Karagiozis. "Chaotic Vibrations of Functionally Graded Doubly Curved Shells With Internal Resonance." In ASME 2011 International Mechanical Engineering Congress and Exposition. ASMEDC, 2011. http://dx.doi.org/10.1115/imece2011-64822.
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Chaotic vibrations of functionally graded doubly curved shells subjected to concentrated harmonic load are investigated. It is assumed that the shell is simply supported and the edges can move freely in in-plane directions. Donnell’s nonlinear shallow shell theory is used and the governing partial differential equations are obtained in terms of shell’s transverse displacement and Airy’s stress function. By using Galerkin’s technique, the equations of motion are reduced to a set of infinite nonlinear ordinary differential equations with cubic and quadratic nonlinearities. A bifurcation analysis is carried out and the discretized equations are integrated at (i) fixed excitation frequencies and variable excitation amplitudes and (ii) fixed excitation amplitudes and variable excitation frequencies. In particular, Gear’s backward differentiation formula is used to obtain bifurcation diagrams, Poincare´ maps and time histories. Furthermore, maximum Lyapunov exponent and Lyapunov spectrum are obtained to classify the rich dynamics. It is revealed that the shell may exhibit complex behaviour including sub-harmonic, quasi-periodic and chaotic response when subjected to large harmonic excitations.
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Xia, Shi-Yu, Jiaqi Lv, Ning Xu, and Xin Geng. "Ambiguity-Induced Contrastive Learning for Instance-Dependent Partial Label Learning." In Thirty-First International Joint Conference on Artificial Intelligence {IJCAI-22}. California: International Joint Conferences on Artificial Intelligence Organization, 2022. http://dx.doi.org/10.24963/ijcai.2022/502.
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Partial label learning (PLL) learns from a typical weak supervision, where each training instance is labeled with a set of ambiguous candidate labels (CLs) instead of its exact ground-truth label. Most existing PLL works directly eliminate, rather than exploiting the label ambiguity, since they explicitly or implicitly assume that incorrect CLs are noise independent of the instance. While a more practical setting in the wild should be instance-dependent, namely, the CLs depend on both the true label and the instance itself, such that each CL may describe the instance from some sensory channel, thereby providing some noisy but really valid information about the instance. In this paper, we leverage such additional information acquired from the ambiguity and propose AmBiguity-induced contrastive LEarning (ABLE) under the framework of contrastive learning. Specifically, for each CL of an anchor, we select a group of samples currently predicted as that class as ambiguity-induced positives, based on which we synchronously learn a representor (RP) that minimizes the weighted sum of contrastive losses of all groups and a classifier (CS) that minimizes a classification loss. Although they are circularly dependent: RP requires the ambiguity-induced positives on-the-fly induced by CS, and CS needs the first half of RP as the representation extractor, ABLE still enables RP and CS to be trained simultaneously within a coherent framework. Experiments on benchmark datasets demonstrate its substantial improvements over state-of-the-art methods for learning from the instance-dependent partially labeled data.
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Li, Hongtao, Meinrad Burer, Franc¸ois Marechal, Daniel Favrat, Guolian Hou, Bao-Heng Zhang, and Zhi-Ping Song. "Multi-Criteria Optimization of Pulverized Fuel Coal-Fired Power Generation System Load Dispatching." In International Joint Power Generation Conference collocated with TurboExpo 2003. ASMEDC, 2003. http://dx.doi.org/10.1115/ijpgc2003-40155.
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With a given power demand pattern supplied by a set of pulverized fuel coal-fired (PC) power generation units at various locations, different power dispatching solutions will result in different fuel consumptions, CO2 emissions, and power generation costs. This is due to the performance differences of their shut-down and start-up processes as well as those under the operational conditions, and to fuel prices differences between different power stations. In this paper, a methodology characterized with a multi-objective optimization approach based on a fast evolutionary algorithm is employed to optimize the daily total power generation operating cost and the daily total CO2 emissions. The shut down and start-up processes are divided into 7 sub-operations: load-decreasing, shutdown, boiler ignition preparation, ignition-warming up, connecting to grid, load-increasing and stabilization process, according to their characteristics in order to calculate the fuel consumptions, the CO2 emissions and the cost. Available data have been used to derive the models that characterize the emission and cost performances of typical PC units as well as their rating and partial load performances [1]. From the results of the multi-objective optimization, the so called Pareto Optimal Frontiers (POFs) are used to evaluate the effect of CO2 tax on the optimal power dispatching solutions. The influence of SO2 tax on the CO2 abatement marginal cost is also analyzed.
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Rusnak, Ilan. "Control Organization: Survey and Application." In ASME 2008 9th Biennial Conference on Engineering Systems Design and Analysis. ASMEDC, 2008. http://dx.doi.org/10.1115/esda2008-59050.
Full textAbstract:
The issue of the organization of control and feedback can be subdivided into several subjects: i) Selection of performance objectives; ii) The control algorithms; iii) Selection of measured and manipulated variables; and iv) Feedback organization. In previous publication [1] partial survey of the issues above and a terminology for feedback and control organization has been presented, that is, not all issues and not all relevant disciplines have been covered. Namely, motion control and servo-regulator applications have been covered; however, aircraft control, missile autopilots and process control have been barely covered. The issues of: (i) Selection of measured variables (location of sensors) and manipulated variables (location of actuators) called as well as Input-Output Selection (IO); (ii) Control Structure Design (CSD); and (iii) Control Configuration selection (CC); had not been covered and are presented here. These issues are strictly proper sub-issues of the Control and Feedback organization problem. This paper extends the survey to additional disciplines and subjects. Thus this paper can be considered as part II and supplement of [1]. Using the definitions the problem of Control and Feedback Organization (CFO) is defined over the set theory within the well-established functional analysis and optimal control theories. The optimal control-feedback organization problem and the optimal simultaneous design of the system and feedback configuration problem are presented as open issues. This demonstrates the usefulness of the existence of a proper terminology and theory of the control-feedback organization problem and its extension and connection to design of sensors and actuators location. As an example the architecture generating property of the LQR metric is used to derive advanced high performance architecture for motion control applications.
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Crosa, G., F. Pittaluga, A. Trucco Martinengo, F. Beltrami, A. Torelli, and F. Traverso. "Heavy-Duty Gas Turbine Plant Aerothermodynamic Simulation Using Simulink." In ASME 1996 Turbo Asia Conference. American Society of Mechanical Engineers, 1996. http://dx.doi.org/10.1115/96-ta-022.
Full textAbstract:
This paper presents a physical simulator for predicting the off-design and dynamic behaviour of a single shaft heavy-duty gas turbine plant, suitable for gas-steam combined cycles. The mathematical model, which is non linear and based on the lumped parameter approach, is described by a set of first-order differential and algebraic equations. The plant components are described adding to their steady state characteristics the dynamic equations of mass, momentum and energy balances. The state variables are mass flow rates, static pressures, static temperatures of the fluid, wall temperatures and shaft rotational speed. The analysis has been applied to a 65 MW heavy-duty gas turbine plant with two off-board silo-type combustion chambers. To model the compressor, equipped with variable inlet guide vanes, a subdivision into five partial compressors is adopted, in serial arrangement, separated by dynamic blocks. The turbine is described using a one dimensional row by row mathematical model, that takes into account both the air bleed cooling effect and the mass storage among the stages. The simulation model considers also the air bleed transformations from the compressor down to the turbine. Both combustion chambers have been modelled utilising a sequence of several sub-volumes, to simulate primary and secondary zones in presence of three hybrid burners. A code has been created in Simulink environment. Some dynamic responses of the simulated plant, equipped with a proportional-integral speed regulator, are presented.