Academic literature on the topic 'Moment Sequences (Mathematics)'

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Journal articles on the topic "Moment Sequences (Mathematics)"

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Cioranescu, Ioana. "Moment sequences for ultradistributions." Mathematische Zeitschrift 204, no. 1 (December 1990): 391–400. http://dx.doi.org/10.1007/bf02570882.

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Bisgaard, Torben Maack. "Stieltjes moment sequences and positive definite matrix sequences." Proceedings of the American Mathematical Society 126, no. 11 (1998): 3227–37. http://dx.doi.org/10.1090/s0002-9939-98-04373-1.

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Hansen, B. G., and F. W. Steutel. "On moment sequences and infinitely divisible sequences." Journal of Mathematical Analysis and Applications 136, no. 1 (November 1988): 304–13. http://dx.doi.org/10.1016/0022-247x(88)90133-3.

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Wang, Yi, and Bao-Xuan Zhu. "Log-convex and Stieltjes moment sequences." Advances in Applied Mathematics 81 (October 2016): 115–27. http://dx.doi.org/10.1016/j.aam.2016.06.008.

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Bennett, Grahame. "Hausdorff means and moment sequences." Positivity 15, no. 1 (February 10, 2010): 17–48. http://dx.doi.org/10.1007/s11117-009-0039-y.

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Choi, Hayoung, Yeong-Nan Yeh, and Seonguk Yoo. "Catalan-like number sequences and Hausdorff moment sequences." Discrete Mathematics 343, no. 5 (May 2020): 111808. http://dx.doi.org/10.1016/j.disc.2019.111808.

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Berg, Christian. "On powers of Stieltjes moment sequences, II." Journal of Computational and Applied Mathematics 199, no. 1 (February 2007): 23–38. http://dx.doi.org/10.1016/j.cam.2005.04.072.

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Liu, Jian-Guo, and Robert L. Pego. "On generating functions of Hausdorff moment sequences." Transactions of the American Mathematical Society 368, no. 12 (February 2, 2016): 8499–518. http://dx.doi.org/10.1090/tran/6618.

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Reza, Md Ramiz, and Genkai Zhang. "Hausdorff Moment Sequences Induced by Rational Functions." Complex Analysis and Operator Theory 13, no. 8 (August 19, 2019): 4117–42. http://dx.doi.org/10.1007/s11785-019-00952-9.

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Vati, Kedumetse, and László Székelyhidi. "Moment functions on hypergroup joins." Advances in Pure and Applied Mathematics 10, no. 3 (July 1, 2019): 215–20. http://dx.doi.org/10.1515/apam-2018-0027.

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Abstract Moment functions play a basic role in probability theory. A natural generalization can be defined on hypergroups which leads to the concept of generalized moment function sequences. In a former paper we studied some function classes on hypergroup joins which play a basic role in spectral synthesis. Moment functions are also important basic blocks of spectral synthesis. All these functions can be characterized by well-known functional equations. In this paper we describe generalized moment function sequences on hypergroup joins.
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Dissertations / Theses on the topic "Moment Sequences (Mathematics)"

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Li, Xiaoguang. "Moment sequences and their applications." Diss., Virginia Tech, 1994. http://hdl.handle.net/10919/40043.

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In this dissertation, we first present a unified treatment of compact moment problems, both the truncated and full moment cases. Second, we define the lower and upper functions V±(ð₁,... ð n) on the convex hull of the curve Γn = {(t,.·.,tn): t ∈ [0,1] } for each positive integer n. Explicit formulas of these functions are derived and applied to the study of the subnormal completion problem in operator theory. Last, we show that certain power functions are the building blocks of completely positive functions; by our definition, these functions are the continuous functions on the interval [0, 1] that map each Hausdorff moment sequence of a probability measure into another one.
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Tomecki, Dominik [Verfasser], Holger [Gutachter] Dette, and Christoph [Gutachter] Thäle. "Asymptotics for random moment sequences / Dominik Tomecki ; Gutachter: Holger Dette, Christoph Thäle ; Fakultät für Mathematik." Bochum : Ruhr-Universität Bochum, 2018. http://d-nb.info/1163452157/34.

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Hota, Tapan Kumar. "Subnormality and Moment Sequences." Thesis, 2012. http://etd.iisc.ac.in/handle/2005/3242.

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In this report we survey some recent developments of relationship between Hausdorff moment sequences and subnormality of an unilateral weighted shift operator. Although discrete convolution of two Haudorff moment sequences may not be a Hausdorff moment sequence, but Hausdorff convolution of two moment sequences is always a moment sequence. Observing from the Berg and Dur´an result that the multiplication operator on Is subnormal, we discuss further work on the subnormality of the multiplication operator on a reproducing kernel Hilbert space, whose kernel is a point-wise product of two diagonal positive kernels. The relationship between infinitely divisible matrices and moment sequence is discussed and some open problems are listed.
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Hota, Tapan Kumar. "Subnormality and Moment Sequences." Thesis, 2012. http://hdl.handle.net/2005/3242.

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In this report we survey some recent developments of relationship between Hausdorff moment sequences and subnormality of an unilateral weighted shift operator. Although discrete convolution of two Haudorff moment sequences may not be a Hausdorff moment sequence, but Hausdorff convolution of two moment sequences is always a moment sequence. Observing from the Berg and Dur´an result that the multiplication operator on Is subnormal, we discuss further work on the subnormality of the multiplication operator on a reproducing kernel Hilbert space, whose kernel is a point-wise product of two diagonal positive kernels. The relationship between infinitely divisible matrices and moment sequence is discussed and some open problems are listed.
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Books on the topic "Moment Sequences (Mathematics)"

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(Editor), Torben Maack Bisgaard, and Zoltan Sasvari (Editor), eds. Characteristic Functions and Moment Sequences: Positive Definiteness in Probability. Nova Science Pub Inc, 2000.

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Maack, Bisgaard Torben, and Sasvári Zoltán, eds. Characteristic functions and moment sequences: Positive definiteness in probability. Huntington, NY, 2000.

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Book chapters on the topic "Moment Sequences (Mathematics)"

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Fritzsche, Bernd, Bernd Kirstein, and Conrad Mädler. "On the Structure of Hausdorff Moment Sequences of Complex Matrices." In Trends in Mathematics, 165–217. Cham: Springer International Publishing, 2017. http://dx.doi.org/10.1007/978-3-319-62362-7_7.

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Gnedin, Alexander, and Jim Pitman. "Moments of convex distribution functions and completely alternating sequences." In Institute of Mathematical Statistics Collections, 30–41. Beachwood, Ohio, USA: Institute of Mathematical Statistics, 2008. http://dx.doi.org/10.1214/193940307000000374.

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"The Magnetic Moment and the Bloch Equations." In Essential Mathematics for NMR and MRI Spectroscopists, 412–34. The Royal Society of Chemistry, 2016. http://dx.doi.org/10.1039/bk9781782627975-00412.

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The phenomenological Bloch equations are empirical in nature and are not developed from first principles. Nonetheless, they are valuable in developing a picture of what is happening in a spin system. The equations are explored here and a relatively simple solution is provided for use in later chapters and to predict the observed spectral lineshape. In conjunction with the Bloch equations, the rf-field concept is introduced and integrated into the solution. The vector model and its use in pulse sequence analysis is presented with examples of its use.
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van den Dool, Huug. "Degrees of Freedom." In Empirical Methods in Short-Term Climate Prediction. Oxford University Press, 2006. http://dx.doi.org/10.1093/oso/9780199202782.003.0013.

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How many degrees of freedom are evident in a physical process represented by f(s, t)? In some form questions about “degrees of freedom” (d.o.f.) are common in mathematics, physics, statistics, and geophysics. This would mean, for instance, in how many independent directions a weight suspended from the ceiling could move. Dofs are important for three reasons that will become apparent in the remaining chapters. First, dofs are critically important in understanding why natural analogues can (or cannot) be applied as a forecast method in a particular problem (Chapter 7). Secondly, understanding dofs leads to ideas about truncating data sets efficiently, which is very important for just about any empirical prediction method (Chapters 7 and 8). Lastly, the number of dofs retained is one aspect that has a bearing on how nonlinear prediction methods can be (Chapter 10). In view of Chapter 5 one might think that the total number of orthogonal directions required to reproduce a data set is the dof. However, this is impractical as the dimension would increase (to infinity) with ever denser and slightly imperfect observations. Rather we need a measure that takes into account the amount of variance represented by each orthogonal direction, because some directions are more important than others. This allows truncation in EOF space without lowering the “effective” dof very much. We here think schematically of the total atmospheric or oceanic variance about the mean state as being made up by N equal additive variance processes. N can be thought of as the dimension of a phase space in which the atmospheric state at one moment in time is a point. This point moves around over time in the N-dimensional phase space. The climatology is the origin of the phase space. The trajectory of a sequence of atmospheric states is thus a complicated Lissajous figure in N dimensions, where, importantly, the range of the excursions in each of the N dimensions is the same in the long run. The phase space is a hypersphere with an equal probability radius in all N directions.
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Conference papers on the topic "Moment Sequences (Mathematics)"

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Biryukova, Veronika Andreevna. "Problem of K-finite generation of precomplete classes of linear automata." In Academician O.B. Lupanov 14th International Scientific Seminar "Discrete Mathematics and Its Applications". Keldysh Institute of Applied Mathematics, 2022. http://dx.doi.org/10.20948/dms-2022-65.

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In this paper, we consider the problem of K-finitely generated for of each precomplete class of linear automata operating on Galois field consisting of two elements, and in the case finitely generated, a basis is presented. Also identified some properties of sets of linear automata. In particular, this sequence conservation property in the K-closure of a set linear automata, characterized by the preservation of this sequences, and the property of preservation at the initial moment of time Boolean functions of one essential variable in the K-closure of the set linear automata, where each automaton of this set also has this property.
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Grzebieta, Raphael, David Young, Andrew McIntosh, and Michael Bambach. "Occupant Injuries and Roof Strength in Rollover Crashes." In ASME 2008 International Mechanical Engineering Congress and Exposition. ASMEDC, 2008. http://dx.doi.org/10.1115/imece2008-68739.

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This paper shows how a mathematical relationship can be derived linking serious neck injuries to excessive roof deformation and that this relationship depends on the vehicle’s Centre of Gravity (COG) lateral velocity at the moment of touchdown of the vehicle’s roof structure. The relationships have been greatly simplified for an idealized condition to facilitate derivation of the equations. In the case of a very strong roof, occupant neck loading resulting from torso augmentation reaches a threshold value that depends on the coefficient of friction between the road surface and the vehicle’s steel body or tires and the height the vehicle’s COG drops during a quarter turn impact sequence.
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Gomes, Cláudio, Josue Da Silva, Marco Leal, and Thiago Nascimento. "3A: mAchine learning Algorithm Applied to emotions in melodies." In Simpósio Brasileiro de Computação Musical. Sociedade Brasileira de Computação - SBC, 2019. http://dx.doi.org/10.5753/sbcm.2019.10450.

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At every moment, innumerable emotions can indicate and provide questions about daily attitudes. These emotions can interfere or stimulate different goals. Whether in school, home or social life, the environment increases the itinerant part of the process of attitudes. The musician is also passive of these emotions and incorporates them into his compositions for various reasons. Thus, the musical composition has innumerable sources, for example, academic formation, experiences, influences and perceptions of the musical scene. In this way, this work develops the mAchine learning Algorithm Applied to emotions in melodies (3A). The 3A recognizes the musician’s melodies in real time to generate accompaniment melody. As input, The 3A used MIDI data from a synthesizer to generate accompanying MIDI output or sound file by the programming language Chuck. Initially in this work, it is using the Gregorian modes for each intention of composition. In case, the musician changes the mode or tone, the 3A has an adaptation to continuing the musical sequence. Currently, The 3A uses artificial neural networks to predict and adapt melodies. It started from mathematical series for the formation of melodies that present interesting results for both mathematicians and musicians.
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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.

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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.
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