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Relevant bibliographies by topics / Index calculus

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Academic literature on the topic 'Index calculus'

Author: Grafiati

Published: 4 June 2021

Last updated: 1 June 2024

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Journal articles on the topic "Index calculus"

1

Padmavathy, R., and Chakravarthy Bhagvati. "Performance analysis of index calculus method." Journal of Discrete Mathematical Sciences and Cryptography 12, no. 3 (2009): 353–71. http://dx.doi.org/10.1080/09720529.2009.10698242.

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Castellví, P., X. Jaén, and E. Llanta. "Symbolic tensor calculus using index notation." Computers in Physics 9, no. 3 (1995): 335. http://dx.doi.org/10.1063/1.168532.

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Hennet, Philippe R., Béatrice Delille, and Jean Louis Davot. "Oral malodor measurements on a tooth surface of dogs with gingivitis." American Journal of Veterinary Research 59, no. 3 (1998): 255–57. http://dx.doi.org/10.2460/ajvr.1998.59.03.255.

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Abstract Objective To measure production of volatile sulfur compounds (VSC) responsible for halitosis on the crown surface of the maxillary fourth premolar of dogs with gingivitis. Animals 28 dogs owned by veterinary students who complained that their dogs had halitosis. Procedure Clinical dental indices (plaque index, calculus index, and gingival index) were measured on the most diseased maxillary fourth premolar tooth. Production of VSC from the crown surface of the tooth was recorded by use of a portable sulfide monitor. Measurements were performed several times on each dog over a 2-month p

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Yan, Song. "Computing Prime Factorization And Discrete Logarithms: From Index Calculus To Xedni Calculus." International Journal of Computer Mathematics 80, no. 5 (2003): 573–90. http://dx.doi.org/10.1080/0020716021000059151.

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Gorla, Elisa, and Maike Massierer. "Index calculus in the trace zero variety." Advances in Mathematics of Communications 9, no. 4 (2015): 515–39. http://dx.doi.org/10.3934/amc.2015.9.515.

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Padmavathy, R., and Chakravarthy Bhagvati. "Ephemeral key recovery using index calculus method." Journal of Discrete Mathematical Sciences and Cryptography 13, no. 1 (2010): 29–43. http://dx.doi.org/10.1080/09720529.2010.10698275.

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Kalorin, Carmin Marc, Ross Bauer, and Mark D. White. "Phenytoin Metabolite Renal Calculus: An Index Case." Journal of Endourology 22, no. 8 (2008): 1665–68. http://dx.doi.org/10.1089/end.2007.0410.

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Padmavathy, R., and Chakravarthy Bhagvati. "Discrete logarithm problem using index calculus method." Mathematical and Computer Modelling 55, no. 1-2 (2012): 161–69. http://dx.doi.org/10.1016/j.mcm.2011.02.022.

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Penneys, David. "A Planar Calculus for Infinite Index Subfactors." Communications in Mathematical Physics 319, no. 3 (2012): 595–648. http://dx.doi.org/10.1007/s00220-012-1627-4.

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Oyono, Roger, and Nicolas Thériault. "Index calculus algorithm for non-planar curves." Finite Fields and Their Applications 90 (September 2023): 102227. http://dx.doi.org/10.1016/j.ffa.2023.102227.

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Dissertations / Theses on the topic "Index calculus"

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Helfgott, Harald, and Michel Helfgott. "Maxima and minima before calculus." Pontificia Universidad Católica del Perú, 2014. http://repositorio.pucp.edu.pe/index/handle/123456789/97261.

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Kim, Nguyen. "Explicit arithmetic of Brauer groups ray class fields and index calculus /." [S.l.] : [s.n.], 2001. http://deposit.ddb.de/cgi-bin/dokserv?idn=963601687.

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Khan, Mumtaz Ahmad, and Bijan Rouhi. "A study on a calculus for the Tk,x,y,z-operator." Pontificia Universidad Católica del Perú, 2014. http://repositorio.pucp.edu.pe/index/handle/123456789/96924.

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The present paper deals with the calculus of Tk,x,y,z - operator. The operator is a three variable analogue of the operator given earlier by W. A. Al-Salam [1] and H. B. Mittal [10]. The operator is useful for finding operational representations and generating functions of polynomials of three variables and will be dealt in a separate communication.

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So, Bing Kwan. "Pseudo-differential operators, heat calculus and index theory of groupoids satisfying the Lauter-Nistor condition." Thesis, University of Warwick, 2010. http://wrap.warwick.ac.uk/3793/.

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In this thesis, we study singular pseudo-differential operators defined by groupoids satisfying the Lauter-Nistor condition, by a method parallel to that of manifolds with boundary and edge differential operators. The example of the Bruhat sphere is studied in detail. In particular, we construct an extension to the calculus of uniformly supported pseudo-differential operators that is analogous to the calculus with bounds defined on manifolds with boundary. We derive a Fredholmness criterion for operators on the Bruhat sphere, and prove that their parametrices up to compact operators lie inside

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Bashir, Nazir, and MD Hasirul Islam. "NUMBER OF PERIODIC POINTS OF CONGRUENTIAL MONOMIAL DYNAMICAL SYSTEMS." Thesis, Linnéuniversitetet, Institutionen för datavetenskap, fysik och matematik, DFM, 2012. http://urn.kb.se/resolve?urn=urn:nbn:se:lnu:diva-21258.

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In this thesis we study the number of periodic points of congruential monomial dynamical system. By concept of index calculus we are able to calculate the number of solutions for congruential equations. We give formula for the number of r-periodic points over prime power. Then we discuss about calculating the total number of periodic points and cycles of length r for prime power.

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Kohatsu, Higa Arturo, and Kazuhiro Yasuda. "Estimating multidimensional density functions using the Malliavin-Thalmaier formula." Pontificia Universidad Católica del Perú, 2014. http://repositorio.pucp.edu.pe/index/handle/123456789/96672.

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The Malliavin-Thalmaier formula was introduced for simulation of high dimensional probability density functions. But when this integration by parts formula is applied directly in computer simulations, we show that it is unstable. We propose an approximation to the Malliavin-Thalmaier formula. In this paper, we find the order of the bias and the variance of the approximation error. And we obtain an explicit Malliavin-Thalmaier formula for the calculation of Greeks in finance. The weights obtained are free from the curse of dimensionality.

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Beauchamp, Bradley K. McCrone Sharon Rich Beverly Susan. "Exploring calculus students' understanding of L'Hôpital's Rule." Normal, Ill. : Illinois State University, 2006. http://proquest.umi.com/pqdweb?index=0&did=1273094441&SrchMode=1&sid=3&Fmt=2&VInst=PROD&VType=PQD&RQT=309&VName=PQD&TS=1181240966&clientId=43838.

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Thesis (Ph. D.)--Illinois State University, 2006.<br>Title from title page screen, viewed on June 7, 2007. Dissertation Committee: Dissertation Committee: Sharon S. McCrone, Beverly S. Rich (co-chairs), James F. Cottrill, Lucian L. Ionescu. Includes bibliographical references (leaves 155-159) and abstract. Also available in print.

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Khan, Mumtaz Ahmad, and Bhagwat Swaroop Sharma. "A study of three variable analogues of certain fractional integral operators." Pontificia Universidad Católica del Perú, 2014. http://repositorio.pucp.edu.pe/index/handle/123456789/95821.

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The paper deals with a three variable analogues of certain fractional integral operators introduced by M. Saigo. Resides giving three variable analogues of earlier known fractional integral operators of one variable as a special cases of newly defined operators, the paper establishes certain results in the form of theorems including integration by parts.

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Tran, Christophe. "Formules d'addition sur les jacobiennes de courbes hyperelliptiques : application à la cryptographie." Thesis, Rennes 1, 2014. http://www.theses.fr/2014REN1S153/document.

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Dans cette thèse, j'étudie deux aspects distincts de la cryptographie basée sur les courbes elliptiques et hyperelliptiques. Dans une première partie, je confronte deux méthodes de calcul de couplages, originales car ne reposant pas sur le traditionnel algorithme de Miller. Ainsi, dans [42], K. Stange calcula le couplage de Tate sur une courbe elliptique à partir d'un nouvel outil, les elliptic nets. Y. Uchida et S. Uchiyama généralisèrent ces objets au cas hyperelliptique ([47]), mais ne donnèrent un algorithme pour le calcul de couplages que dans le cas des courbes de genre 2. Mon

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Abdalla, Samira Lessa. "An?lise Computadorizada para avalia??o dos ?ndices de Placa Bacteriana e C?lculo Dent?rio em c?es (canis familiaris)." Universidade Federal Rural do Rio de Janeiro, 2008. https://tede.ufrrj.br/jspui/handle/tede/892.

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Made available in DSpace on 2016-04-28T20:18:29Z (GMT). No. of bitstreams: 1 2008 - Samira Lessa Abdalla.pdf: 954479 bytes, checksum: ab7b6aa4f805848f97b44982e9c65f19 (MD5) Previous issue date: 2008-03-26<br>The Periodontal Disease is caused by dental plaque accumulation on teeth and adjacent structures. Indices have been formulated for its measurement considering the amount and intensity of Dental Plaque and Calculus in the oral cavity through subjective visual evaluation. This study aims to evaluate the computerized analysis method for measurement of Dental Plaque and Calculus areas on t

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Books on the topic "Index calculus"

1

Atanassov, Krassimir T. Index Matrices: Towards an Augmented Matrix Calculus. Springer International Publishing, 2014. http://dx.doi.org/10.1007/978-3-319-10945-9.

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Noncommutative geometry and physics: Renormalisation, motives, index theory. European Mathematical Society, 2011.

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Roe, John. Elliptic operators, topology, and asymptotic methods. Longman Scientific & Technical, 1988.

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Elliptic operators, topology and asymptotic methods. 2nd ed. Longman, 1998.

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Roe, John. Winding around: The winding number in topology, geometry, and analysis. American Mathematical Society, 2015.

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Office, International Labour, International Monetary Fund, Organisation for Economic Co-operation and Development, Statistical Office of the European Communities, World Bank, and Great Britain. Office for National Statistics, eds. Practical guide to producing consumer price indices. United Nations, 2009.

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Ninul, Anatolij Sergeevič. Tenzornaja trigonometrija: Teorija i prilozenija / Theory and Applications /. Mir Publisher, 2004.

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Ninul, Anatolij Sergeevič. Tensor Trigonometry. Fizmatlit Publisher, 2021.

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Atanassov, Krassimir T. Index Matrices: Towards an Augmented Matrix Calculus. Springer International Publishing AG, 2016.

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Atanassov, Krassimir T. Index Matrices: Towards an Augmented Matrix Calculus. Springer, 2014.

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Book chapters on the topic "Index calculus"

1

Nguyen, Kim. "Index Calculus Method." In Encyclopedia of Cryptography and Security. Springer US, 2011. http://dx.doi.org/10.1007/978-1-4419-5906-5_454.

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Kalita, Bhaben Chandra. "Christoffel Three-Index Symbols (Brackets) and Covariant Differentiation." In Tensor Calculus and Applications. CRC Press, 2019. http://dx.doi.org/10.1201/9780429028670-4.

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Debord, Claire, and Georges Skandalis. "Lie groupoids, pseudodifferential calculus, and index theory." In Advances in Noncommutative Geometry. Springer International Publishing, 2019. http://dx.doi.org/10.1007/978-3-030-29597-4_4.

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"Index." In Calculus. Elsevier, 1995. http://dx.doi.org/10.1533/9780857099860.backmatter.

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"Index." In Advanced Calculus. John Wiley & Sons, Inc., 2011. http://dx.doi.org/10.1002/9781118032411.index.

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"Index." In Understanding Calculus. IEEE, 2009. http://dx.doi.org/10.1109/9780470546765.index.

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"INDEX." In Operational Calculus. Elsevier, 1987. http://dx.doi.org/10.1016/b978-0-08-026479-0.50027-x.

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"INDEX." In Everyday Calculus. Princeton University Press, 2017. http://dx.doi.org/10.2307/j.ctvc775vw.17.

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"Index." In Everyday Calculus. Princeton University Press, 2014. http://dx.doi.org/10.1515/9781400850082-014.

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"INDEX." In Matrix Calculus. Elsevier, 2014. http://dx.doi.org/10.1016/b978-1-4832-3214-0.50047-7.

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Conference papers on the topic "Index calculus"

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LÉANDRE, RÉMI. "Connes-Hida Calculus in index theory." In XIVth International Congress on Mathematical Physics. WORLD SCIENTIFIC, 2006. http://dx.doi.org/10.1142/9789812704016_0048.

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Muscedere, Roberto, Graham A. Jullien, Vassil S. Dimitrov, and W. C. Miller. "Nonlinear signal processing using index calculus DBNS arithmetic." In International Symposium on Optical Science and Technology, edited by Franklin T. Luk. SPIE, 2000. http://dx.doi.org/10.1117/12.406502.

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Toth-Taşcău, Mirela, Dan Ioan Stoia, Cosmina Vigaru, and Oana Pasca. "Influence of the surface area approximation on plantar arch index calculus." In NUMERICAL ANALYSIS AND APPLIED MATHEMATICS ICNAAM 2012: International Conference of Numerical Analysis and Applied Mathematics. AIP, 2012. http://dx.doi.org/10.1063/1.4756337.

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Kiryakova, Virginia. "Fractional calculus of some “new” but not new special functions: K-, multi-index-, and S-analogues." In PROCEEDINGS OF THE 45TH INTERNATIONAL CONFERENCE ON APPLICATION OF MATHEMATICS IN ENGINEERING AND ECONOMICS (AMEE’19). AIP Publishing, 2019. http://dx.doi.org/10.1063/1.5133527.

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Niu, Haoyu, YangQuan Chen, Lihong Guo, and Bruce J. West. "A New Triangle: Fractional Calculus, Renormalization Group, and Machine Learning." In ASME 2021 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. American Society of Mechanical Engineers, 2021. http://dx.doi.org/10.1115/detc2021-70505.

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Abstract The emergence of the systematic study of complexity as a science has resulted from the growing recognition that the fundamental assumptions upon which Newtonian physics is based are not satisfied throughout most of science, e.g., time is not necessarily uniformly flowing in one direction, nor is space homogeneous. Herein we discuss how the fractional calculus (FC), renormalization group (RG) theory and machine learning (ML) have each developed independently in the study of distinct phenomena in which one or more of the underlying assumptions of Newtonian formalism is violated. FC has

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Pan, Zhifeng, Xiaohong Wang, Thi Thu Giang Hoang, Ying Luo, Yangquan Chen та Lianfang Tian. "Design and Application of Fractional Order PIλDµ Controller in Grid-Connected Inverter System". У ASME 2017 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. American Society of Mechanical Engineers, 2017. http://dx.doi.org/10.1115/detc2017-67355.

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In comparison with the traditional controller PID, the fractional order controller PIλDμ is added with two parameters (μ and λ), that increases the flexibility of the controller. The larger adjustable space makes it more favorable to the control of the nonlinear system like the three-phase grid-connected inverter. However, since the fractional calculus operator is an irrational function on the complex plane, it can’t be implemented directly in simulation or in practical applications. In this paper, the advantages of the fractional order controller PIλDμ will be analyzed, then the fractional ca

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Glizer, Valery Y., Vladimir Turetsky, and Emil Bashkansky. "Application of Pontryagin’s Maximum Principle to Statistical Process Control Optimization." In ASME 2012 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. American Society of Mechanical Engineers, 2012. http://dx.doi.org/10.1115/detc2012-70104.

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The optimization of a statistical process control with a variable sampling interval is studied. A control performance index is the expected loss, caused by delay in detecting process change. It is to be minimized by a proper choice of a sampling interval. The mathematical model of this problem is a nonstandard variational calculus problem with two types of constraints, an isoperimetric constraint and two geometric constraints. The integrands in the cost functional and the isoperimetric constraint are independent of the derivative of the minimizing function. Therefore, the classical Euler-Lagra

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Costarella, Marianna, Lucilla Monteleone, Roberto Steindler, and Stefano Maria Zuccaro. "Physical and Psychical Conditions Decline of Older People With Age, Measured by Functional Reach Test and by Mini Mental State Examination." In ASME 2008 9th Biennial Conference on Engineering Systems Design and Analysis. ASMEDC, 2008. http://dx.doi.org/10.1115/esda2008-59055.

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There are several tests to value the psychophysical characteristics of older people and, among all, the most suitable to this aim are here considered the Functional Reach (FR) test, as an index of the aptitude to maintain balance in upright position, and the Mini Mental State Examination (MMSE), as a global index of cognitive abilities. The sample of older people we have analysed concerns 50 healthy subjects divided into three groups according to the age (15 from 55 to 64 years old, 19 from 65 to 74 years old, and 16 more than 75 years old); they underwent a FR test, which consists first in th

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Baritz, Mihaela ioana. "ANALYSIS OF HUMAN BIO-BEHAVIOR AND EYE MOVEMENTS CORRELATED WITH INDUCED POSITIVE / NEGATIVE EMOTIONAL LEVEL." In eLSE 2016. Carol I National Defence University Publishing House, 2016. http://dx.doi.org/10.12753/2066-026x-16-005.

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In this paper the methodology for assessing interactions between eye movements and induced emotional level was present. It was found during analyzes the bio-behavior of young people some corresponding changes in eye movements when they are surprised by the positive or negative emotions. This behavioral change is accentuated and manifests itself on the eye level but also by changing the biomechanical postural stability. By this research was developed a procedure for evaluating the postural response correlated with ocular motility recordings and facial temperature variations, when subjects were

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Tangpong, X. W., and Om P. Agrawal. "Fractional Optimal Control of Distributed Systems." In ASME 2007 International Mechanical Engineering Congress and Exposition. ASMEDC, 2007. http://dx.doi.org/10.1115/imece2007-43046.

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This paper presents a formulation and a numerical scheme for Fractional Optimal Control (FOC) for a class of distributed systems. The fractional derivative is defined in the Caputo sense. The performance index of a Fractional Optimal Control Problem (FOCP) is considered as a function of both the state and the control variables, and the dynamic constraints are expressed by a Partial Fractional Differential Equation (PFDE). The scheme presented rely on reducing the equations for distributed system into a set of equations that have no space parameter. Several strategies are pointed out for this t

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Reports on the topic "Index calculus"

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Better Jobs Index - Guatemala. Inter-American Development Bank, 2017. http://dx.doi.org/10.18235/0006360.

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El Índice de Mejores Trabajos mide cómo son los empleos de los países a través de dos dimensiones: cantidad y calidad. La dimensión de cantidad está compuesta a su vez por dos indicadores: la tasa de participación laboral y la de ocupación. La de calidad, por su parte, se construye con las tasas de formalidad y de trabajos con salario suficiente para superar la pobreza. Así, el índice es la media ponderada de estos cuatro indicadores* y sus puntuaciones van de 0 a 100. Para que un país obtenga 100 puntos, todas las personas que participan en la fuerza laboral deben estar empleadas con un traba

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