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Relevant bibliographies by topics / Curves, Algebraic. Gaussian distribution

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Academic literature on the topic 'Curves, Algebraic. Gaussian distribution'

Author: Grafiati

Published: 4 June 2021

Last updated: 1 February 2022

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Journal articles on the topic "Curves, Algebraic. Gaussian distribution"

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SMALL, ANTHONY. "ON ALGEBRAIC MINIMAL SURFACES IN ℝ3 DERIVING FROM CHARGE 2 MONOPOLE SPECTRAL CURVES." International Journal of Mathematics 16, no. 02 (February 2005): 173–80. http://dx.doi.org/10.1142/s0129167x05002771.

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We give formulae for minimal surfaces in ℝ3 deriving, via classical osculation duality, from elliptic curves in a line bundle over ℙ1. Specialising to the case of charge 2 monopole spectral curves we find that the distribution of Gaussian curvature on the auxiliary minimal surface reflects the monopole's structure. This is elucidated by the behaviour of the surface's Gauss map.

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Faifman, Dmitry, and Zeév Rudnick. "Statistics of the zeros of zeta functions in families of hyperelliptic curves over a finite field." Compositio Mathematica 146, no. 1 (December 11, 2009): 81–101. http://dx.doi.org/10.1112/s0010437x09004308.

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AbstractWe study the fluctuations in the distribution of zeros of zeta functions of a family of hyperelliptic curves defined over a fixed finite field, in the limit of large genus. According to the Riemann hypothesis for curves, the zeros all lie on a circle. Their angles are uniformly distributed, so for a curve of genus g a fixed interval ℐ will contain asymptotically 2g∣ℐ∣ angles as the genus grows. We show that for the variance of number of angles in ℐ is asymptotically (2/π2)log (2g∣ℐ∣) and prove a central limit theorem: the normalized fluctuations are Gaussian. These results continue to hold for shrinking intervals as long as the expected number of angles 2g∣ℐ∣ tends to infinity.

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Wahl, Jonathan. "Gaussian maps on algebraic curves." Journal of Differential Geometry 32, no. 1 (1990): 77–98. http://dx.doi.org/10.4310/jdg/1214445038.

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Ballico, E., and C. Keem. "Ramified coverings and Gaussian maps of smooth algebraic curves." Kodai Mathematical Journal 28, no. 1 (March 2005): 92–98. http://dx.doi.org/10.2996/kmj/1111588038.

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Kalita, Gautam. "Values of Gaussian hypergeometric series and their connections to algebraic curves." International Journal of Number Theory 14, no. 01 (November 21, 2017): 1–18. http://dx.doi.org/10.1142/s179304211850001x.

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In this paper, we explicitly evaluate certain special values of [Formula: see text] hypergeometric series. These evaluations are based on some summation transformation formulas of Gaussian hypergeometric series. We find expressions of the number of points on certain algebraic curves over [Formula: see text] in terms of Gaussian hypergeometric series, which play the vital role in deducing the transformation results.

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BARMAN, RUPAM, and GAUTAM KALITA. "CERTAIN VALUES OF GAUSSIAN HYPERGEOMETRIC SERIES AND A FAMILY OF ALGEBRAIC CURVES." International Journal of Number Theory 08, no. 04 (May 16, 2012): 945–61. http://dx.doi.org/10.1142/s179304211250056x.

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Let λ ∈ ℚ\{0, -1} and l ≥ 2. Denote by Cl, λ the nonsingular projective algebraic curve over ℚ with affine equation given by [Formula: see text] In this paper, we give a relation between the number of points on Cl, λ over a finite field and Gaussian hypergeometric series. We also give an alternate proof of a result of [D. McCarthy, 3F2 Hypergeometric series and periods of elliptic curves, Int. J. Number Theory6(3) (2010) 461–470]. We find some special values of 3F2 and 2F1 Gaussian hypergeometric series. Finally we evaluate the value of 3F2(4) which extends a result of [K. Ono, Values of Gaussian hypergeometric series, Trans. Amer. Math. Soc.350(3) (1998) 1205–1223].

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Kalita, Gautam, and Arijit Jana. "Certain character sums, Gaussian hypergeometric series, and their connections to algebraic curves." Finite Fields and Their Applications 72 (June 2021): 101832. http://dx.doi.org/10.1016/j.ffa.2021.101832.

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Quang, Si Duc, Do Duc Thai, and Pham Duc Thoan. "Distribution value of algebraic curves and the Gauss maps on algebraic minimal surfaces." International Journal of Mathematics 32, no. 05 (March 25, 2021): 2150028. http://dx.doi.org/10.1142/s0129167x21500282.

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In this paper, we first establish a degeneracy second main theorem for algebraic curves from compact complex Riemann surfaces into projective varieties intersecting hypersurfaces in subgeneral position. We then use it to study the ramified values for the Gauss map of the complete (regular) minimal surfaces in [Formula: see text] with finite total curvature in the case where the Gauss map may be algebraic degenerate. Our results generalize and improve the previous results in the field.

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Bloom, Thomas, and Norman Levenberg. "Distribution of nodes on algebraic curves in ${\Bbb C}^N$." Annales de l’institut Fourier 53, no. 5 (2003): 1365–85. http://dx.doi.org/10.5802/aif.1982.

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Awange, J. L., B. Palancz, R. Lewis, T. Lovas, B. Heck, and Y. Fukuda. "An algebraic solution of maximum likelihood function in case of Gaussian mixture distribution." Australian Journal of Earth Sciences 63, no. 2 (February 17, 2016): 193–203. http://dx.doi.org/10.1080/08120099.2016.1143876.

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Dissertations / Theses on the topic "Curves, Algebraic. Gaussian distribution"

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Ozertem, Umut. "Locally defined principal curves and surfaces /." Full text open access at:, 2008. http://content.ohsu.edu/u?/etd,653.

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Cotto-Figueroa, Desireé. "The Rotation Rate Distribution of Small Near-Earth Asteroids." Ohio University / OhioLINK, 2008. http://rave.ohiolink.edu/etdc/view?acc_num=ohiou1224698418.

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Zhang, Runtong. "Measurement of effective diffusivity : chromatographic method (pellets & monoliths)." Thesis, University of Bath, 2013. https://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.608352.

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This thesis aims to find out the effective diffusivity (Deff) of a porous material – γ-alumina, using an unsteady state method with two inert gases at ambient condition with no reactions. For porous materials, Deff is important because it determines the amount of reactants that transfers to the surface of pores. When Deff is known, the apparent tortuosity factor of γ-alumina is calculated using the parallel pore model. The apparent tortuosity factor is important because: (a) it can be used to back-calculate Deff at reacting conditions; (b) once Deff with reactions is known, the Thiele modulus can be calculated and hence the global reaction rate can be found; (c) apparent tortuosity factor is also important for modelling purposes (e.g. modelling a packed-bed column or a catalytic combustion reactor packed with porous γ-alumina in various shapes and monoliths). Experimental measurements were performed to determine the effective diffusivity of a binary pair of non-reacting gases (He in N2, and N2 in He) in spherical γ-alumina pellets (1 mm diameter), and in γ-alumina washcoated monoliths (washcoat thickness 20 to 60 µm, on 400 cpsi (cells per square inch) cordierite support). The method used is based on the chromatographic technique, where a gas flows through a tube, which is packed with the sample to be tested. A pulse of tracer gas is injected (e.g. using sample loops: 0.1, 0.2, 0.5 ml) and by using an on-line mass spectrometer the response in the outlet of the packed bed is monitored over time. For the spherical pellets, the tube i.d. = 13.8 mm and the packed bed depths were 200 and 400 mm. For monoliths the tube i.d. = 7 mm and the packed lengths were 500 and 1000 mm. When the chromatographic technique was applied to the monoliths, it was observed that experimental errors can be significant, and it is very difficult to interpret the data. However, the technique worked well with the spherical pellets, and the effective diffusivity of He in N2 was 0.75 – 1.38 × 10-7 m2 s-1, and for N2 in He was 1.81 – 3.10 × 10-7 m2 s-1. Using the parallel pore model to back-calculate the apparent tortuosity factor, then a value between 5 to 9.5 was found for the pellets.

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Books on the topic "Curves, Algebraic. Gaussian distribution"

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author, Makarov Nikolai G., ed. Gaussian free field and conformal field theory. Paris, France: Société mathématique de France, 2013.

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Tschinkel, Yuri, Carlo Gasbarri, Steven Lu, and Mike Roth. Rational points, rational curves, and entire holomorphic curves on projective varieties: CRM short thematic program, June 3-28, 2013, Centre de Recherches Mathematiques, Universite de Montreal, Quebec, Canada. Providence, Rhode Island: American Mathematical Society, 2015.

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Shparlinski, Igor E., and David R. Kohel. Frobenius distributions: Lang-Trotter and Sato-Tate conjectures : Winter School on Frobenius Distributions on Curves, February 17-21, 2014 [and] Workshop on Frobenius Distributions on Curves, February 24-28, 2014, Centre International de Rencontres Mathematiques, Marseille, France. Providence, Rhode Island: American Mathematical Society, 2016.

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Cojocaru, Alina Carmen, Chantal David, and F. Pappalardi. Scholar, a scientific celebration highlighting open lines of arithmetic research: Conference in honour of M. Ram Murty's mathematical legacy on his 60th birthday, October 15-17, 2013, Centre de Recherches Mathematiques, Universite de Montreal, Quebec, Canada. Edited by Murty Maruti Ram editor. Providence, Rhode Island: American Mathematical Society, 2015.

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Carlson, James. Period Domains and Period Mappings. Edited by Eduardo Cattani, Fouad El Zein, Phillip A. Griffiths, and Lê Dũng Tráng. Princeton University Press, 2017. http://dx.doi.org/10.23943/princeton/9780691161341.003.0004.

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This chapter seeks to develop a working understanding of the notions of period domain and period mapping, as well as familiarity with basic examples thereof. It first reviews the notion of a polarized Hodge structure H of weight n over the integers, for which the motivating example is the primitive cohomology in dimension n of a projective algebraic manifold of the same dimension. Next, the chapter presents lectures on period domains and monodromy, as well as elliptic curves. Hereafter, the chapter provides an example of period mappings, before considering Hodge structures of weight. After expounding on Poincaré residues, this chapter establishes some properties of the period mapping for hypersurfaces and the Jacobian ideal and the local Torelli theorem. Finally, the chapter studies the distance-decreasing properties and integral manifolds of the horizontal distribution.

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Book chapters on the topic "Curves, Algebraic. Gaussian distribution"

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Lee, In-Kwon, and Myung-Soo Kim. "Primitive Geometric Operations on Planar Algebraic Curves with Gaussian Approximation." In Visual Computing, 449–68. Tokyo: Springer Japan, 1992. http://dx.doi.org/10.1007/978-4-431-68204-2_28.

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Iliadis, Lazaros, Stergios Skopianos, Stavros Tachos, and Stefanos Spartalis. "A Fuzzy Inference System Using Gaussian Distribution Curves for Forest Fire Risk Estimation." In IFIP Advances in Information and Communication Technology, 376–86. Berlin, Heidelberg: Springer Berlin Heidelberg, 2010. http://dx.doi.org/10.1007/978-3-642-16239-8_49.

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Kartik, S., Hemant K. Balsora, Abhishek Sharma, Anand G. Chakinala, Abhishek Asthana, Mukesh Goel, and Jyeshtharaj B. Joshi. "Distributed Activation Energy Model for Thermal Decomposition of Polypropylene Waste." In Springer Proceedings in Energy, 179–87. Cham: Springer International Publishing, 2021. http://dx.doi.org/10.1007/978-3-030-63916-7_23.

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AbstractThermal decomposition kinetics of Polypropylene (PP) waste is extremely important with respect to valorisation of waste plastics and production of utilizable components viz. chemicals, fuel oil & gas. The present research study focuses on pyrolysis kinetics of PP waste, which is present as a fraction of municipal plastic waste through distributed activation energy model (DAEM). The decomposition kinetics for PP follows a Gaussian distribution, where the normal distribution curves were centred corresponding to activation energy of 224 kJ/mol. The standard deviation of the distribution for the PP sample was found to be 22 kJ/mol indicating its wider distribution of decomposition range. The data validation has been carried out by comparing the rate parameter and extent of conversion values calculated through DAEM model with the Thermogravimetric analysis (TGA) experiments carried out for PP at various heating rates of 5, 10, 20 and 40 °C/min.

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"Key Distribution Schemes." In Algebraic Curves in Cryptography, 217–48. Chapman and Hall/CRC, 2013. http://dx.doi.org/10.1201/b14977-13.

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"Permutations of finite fields and uniform distribution modulo 1." In Algebraic Curves and Finite Fields, 145–60. De Gruyter, 2014. http://dx.doi.org/10.1515/9783110317916.145.

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"Value distribution theory of holomorphic curves into complex projective algebraic varieties and geometric Diophantine problems." In AMS/IP Studies in Advanced Mathematics, 105–15. Providence, Rhode Island: American Mathematical Society, 1997. http://dx.doi.org/10.1090/amsip/005/08.

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"Simulation of Distribution Densities for Areas Enveloped by Above-Threshold or Below-Threshold Excursions of Gaussian and Rayleigh Random Process Curves." In Applications of Random Process Excursion Analysis, 193–229. Elsevier, 2013. http://dx.doi.org/10.1016/b978-0-12-409501-4.00020-6.

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Conference papers on the topic "Curves, Algebraic. Gaussian distribution"

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Baxevani, Anastassia, Oskar Hagberg, and Igor Rychlik. "Note on the Distribution of Extreme Wave Crests." In ASME 2005 24th International Conference on Offshore Mechanics and Arctic Engineering. ASMEDC, 2005. http://dx.doi.org/10.1115/omae2005-67571.

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The sea elevation at a fixed point is modelled by means of a second order model, which is a smooth algebraic function of a vector valued Gaussian process. Asymptotic methods, presented first in [1], are used to estimate the mean upcrossing intensity μ+ (h). The intensity is then used to determine the density of crest height in a second order sea. Numerical examples illustrate the method. The proposed approximation is used to estimate the design crest height for a specified return period.

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Lee, Chul-Hee, and Andreas A. Polycarpou. "Application of Elastic-Plastic Static Friction Model to Rough Surface With Asymmetric Asperity Distribution." In STLE/ASME 2008 International Joint Tribology Conference. ASMEDC, 2008. http://dx.doi.org/10.1115/ijtc2008-71255.

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The asymmetric height distribution in surface roughness is usually indispensable in engineering surfaces prepared by specific manufacturing process. Moreover, the running-in process develops severe asymmetric roughness distribution in the surface interfaces. In this paper, the effect of asymmetric asperity distribution on static friction coefficient is investigated theoretically and by comparing it with experimental results. In order to generate a probability density function of non-Gaussian surface roughness, the Pearson system of frequency curves was used. Subsequently, the Kogut and Etsion (KE) model of elastic-plastic static friction was modified to calculate the contacting interfacial forces. For the experiments, actual roller and housing surfaces from a CV (Constant Velocity) joint were prepared to measure the static friction coefficient as it clearly shows the asymmetry of roughness distribution due to the manufacturing and also running-in process. The experimental measurements were subsequently compared with the modified KE static friction model with Gaussian as well as Pearson distributions of asperity heights. It was found that the model with Pearson distribution captures the experimental measurements well in terms of the surface conditions.

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Ikikardaslar, Kerim T., Feridun Delale, Mahmoud K. Ardebili, Salih Yildiz, and Kenneth Gollins. "Locating and Quantifying Through Circular Damage in CNT/GFRP Composite Panel Using Gaussian Fit." In ASME 2018 International Mechanical Engineering Congress and Exposition. American Society of Mechanical Engineers, 2018. http://dx.doi.org/10.1115/imece2018-87681.

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Previously published articles on detecting damage in electrically conductive panels mainly concentrate on electrical impedance tomography methods (EIT) which are based on using surface bounded boundary electrodes and taking advantage of an electrically conductive layer on the surface of the panel or of a conductive matrix material. In this study instead, embedded electrodes in glass fiber reinforced epoxy panels are used to locate and quantify the artificial damage inflicted on the panel. The panel was manufactured using vacuum infusion method. It consisted of 10 (S-2) glass fabric plies, where copper electrodes were embedded below the top layer and then vacuum infused with carbon nanotube (CNT) mixed epoxy. During all measurements, a constant electrical current was supplied from two outer electrodes (the source and sink) and changes in voltage from the two inner probes were recorded. In contrast to EIT methods, no complicated algorithm is used to solve the conductivity distribution of the panel but instead, a simple algorithm that fits Gaussian curves to the data obtained using a four-probe measurement technique. Using the fitted curves, we are able to detect location and magnitude of the damages within a confidence bound. This practical method reduces computational cost and also enables the use of embedded electrodes which could provide more durability for the sensors. The experimental data is in very good agreement with the finite element simulations. Comparison of relative voltage change before and after the damages is consistent and sensitive enough to detect damages down to 1/8” diameter hole inside an area of 33 in2. As expected, accuracy is higher for larger diameter holes.

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Sladojevic´, I., E. P. Petrov, A. I. Sayma, M. Imregun, and J. S. Green. "Investigation of the Influence of Aerodynamic Coupling on Response Levels of Mistuned Bladed Discs With Weak Structural Coupling." In ASME Turbo Expo 2005: Power for Land, Sea, and Air. ASMEDC, 2005. http://dx.doi.org/10.1115/gt2005-69050.

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The paper summarises the results of a study investigating the correlation between the aerodynamic blade-to-blade coupling in mistuned bladed disc assemblies and the level of forced response. The focus was placed on the torsional mode of vibration, where blades’ coupling through the disc is weak, exposing the effects of aerodynamic coupling. The forced response of a large number of mistuned discs was computed, using whole-annulus finite element (FE) models. The unsteady aerodynamic forces that act upon the disc were calculated using a three-dimensional Reynolds-averaged Navier-Stokes CFD code. The results show the difference in response with and without aerodynamic coupling, exposing higher blade-to-blade interaction in the latter case. The statistical results show the change of the forced response distribution curves with the introduction of aero-coupling and their deviation from Gaussian distribution.

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Tailor, D. H., K. N. Srinivasan, S. A. Channiwala, and M. Sohel M. Panwala. "Simulation of Temperature Field of TIG Welding Using FDM." In ASME 2009 Pressure Vessels and Piping Conference. ASMEDC, 2009. http://dx.doi.org/10.1115/pvp2009-77697.

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Welding is one of the most important material-joining processes widely used in industry. Low carbon steel and stainless steel with thin plates are widely used in the fabrication of pressure vessels and other components. Thin plates are joints together by the Tungsten inert gas welding (GTAW) methods. Temperature distribution that occurs during welding affects the microstructure, mechanical properties and the residual stresses that will be present in the welded material. This paper discusses the development of a model for the temperature distribution during butt welding at different heat inputs using Finite difference method (FDM). The model is created from first principles of heat transfer and utilizes contact conduction that is a function of temperature, Gaussian heat distribution, and many material properties that vary with temperature. The temperature distribution curves obtained with this model are presented. This transient temperature field has been validated with experimentation of measuring temperature during welding of butt welded of low carbon steel using GTAW process. Using this FDM code, the range of error between the model and experimental results is −11.21 to 2.63%, demonstrating the accuracy of the model.

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Xuan, Wang, Du Fenglei, and Huang Xiaodong. "Constrained Least Squares Method Used in Nuclear Accident Source Term Inversion." In 2017 25th International Conference on Nuclear Engineering. American Society of Mechanical Engineers, 2017. http://dx.doi.org/10.1115/icone25-66083.

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Through experience feedback of the Chernobyl and Fukushima nuclear accidents, source term determination including release rates and release curves, becomes a key issue in nuclear accident impact assessment. When faced with monitoring device failure, use of off-site monitoring data and atmospheric dispersion model simulation results to inverse the source term has been proven an effective means in many case studies. In this paper, we have developed a powerful source term inverse system based on constrained least squares algorithm approach and Gaussian atmospheric diffusion model, and we carried out 15 SF6 field trace experiments at a coastal nuclear power plant site in China from August 22, 2007 to August 31,2007, to validate the source term inversion model. From the 15 simulation results, the 5th,8th and 9th inverse results are the best, and the relative error of inverse source term and true source term is between 10.12% and 16.42%, this is mainly because these three experiments are the most successful, and effective sample points of three experiments are above 25, its distribution is also uniform. It is shown that accuracy, number and distribution of the on-site monitoring will directly affect the inversion source term results. In general, results of source term inversion model are close to the field experiment, within the same magnitude, which shows that constrained least squares algorithm method and Gaussian atmospheric diffusion model can be applied in nuclear accident source term determination. Results of this study show that constrained least squares method is simple and highly efficient and has a high application value.

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Ka¨hko¨nen, Jukka, and Pentti Varpasuo. "Seismic Fragility Study for High-Pressure Emergency Cooling Water Tanks of Loviisa Nuclear Power Plant." In 18th International Conference on Nuclear Engineering. ASMEDC, 2010. http://dx.doi.org/10.1115/icone18-29181.

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The paper studies the fragility of high-pressure emergency cooling water tanks in Loviisa Nuclear Power Plant located on the elevation +25.40 in the reactor building. The seismic fragility is defined as the conditional probability of its failure given a value of the response parameter, such as peak ground acceleration. Using the lognormal-distribution assumption, the fragility (i.e., the probability of failure, f′) at any non-exceedance probability level Q can be derived as Equation1f′=Φ[(ln(a/A¯)+βUΦ−1(Q))/βR] where Q = P(f<f′|a) is the probability that the conditional probability f is less than f′ for a peak ground acceleration a. A is the median ground acceleration capacity, βR is the logarithmic standard deviation representing the randomness about A, and βU is the logarithmic standard deviation representing the uncertainty. The quantity Φ(.) is the standard Gaussian cumulative distribution function. In order to assess the fragility of the tanks the strain time histories for tank supports and piping nozzles were calculated using the joint structural-equipment model. The ground motion response spectra shape used in the structural response analysis has been taken from the YVL 2.6 – guide [1]. This shape represents the envelope spectrum for Southern Finland corresponding to the median annual frequency of 10−5. The sampling of the model properties was carried out with the aid of the Latin hypercube sampling method. In order to find the failure modes the strain time histories were calculated for the piping nozzles and for support structures of the tanks. Since strain is the best measure of energy absorption, energy limited events need to be based on the strain acceptance criteria. The adopted failure limit is the cumulated plastic strain of 8% in the tank sheet metal or in the supporting structures. This failure limit has taken from the reference [2]. The end result of the study is the presentation of the median fragility curve for the tanks as well as 95% and 5% fractile curves.

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