Academic literature on the topic 'Introductio arithmetica'

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Journal articles on the topic "Introductio arithmetica"

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Burke, Maxim R., M. Holz, K. Steffens, and E. Weitz. "Introduction to Cardinal Arithmetic." Bulletin of Symbolic Logic 8, no. 4 (December 2002): 524. http://dx.doi.org/10.2307/797958.

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Abbott, Steve, M. Holz, K. Steffens, and E. Weitz. "Introduction to Cardinal Arithmetic." Mathematical Gazette 84, no. 499 (March 2000): 171. http://dx.doi.org/10.2307/3621544.

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Kilmister, C. W., M. Holz, K. Steffens, and E. Weitz. "Introduction to Cardinal Arithmetic." Mathematical Gazette 84, no. 500 (July 2000): 363. http://dx.doi.org/10.2307/3621721.

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Ferguson, Thomas Macaulay, and Graham Priest. "Introduction." Australasian Journal of Logic 18, no. 5 (July 21, 2021): 132–45. http://dx.doi.org/10.26686/ajl.v18i5.6901.

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Ardeshir, M., and B. Hesaam. "An Introduction to Basic Arithmetic." Logic Journal of IGPL 16, no. 1 (July 10, 2007): 1–13. http://dx.doi.org/10.1093/jigpal/jzm013.

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Kim, Minhyong. "Arithmetic gauge theory: A brief introduction." Modern Physics Letters A 33, no. 29 (September 20, 2018): 1830012. http://dx.doi.org/10.1142/s0217732318300124.

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Much of arithmetic geometry is concerned with the study of principal bundles. They occur prominently in the arithmetic of elliptic curves and, more recently, in the study of the Diophantine geometry of curves of higher genus. In particular, the geometry of moduli spaces of principal bundles holds the key to an effective version of Faltings’ theorem on finiteness of rational points on curves of genus at least 2. The study of arithmetic principal bundles includes the study of Galois representations, the structures linking motives to automorphic forms according to the Langlands program. In this paper, we give a brief introduction to the arithmetic geometry of principal bundles with emphasis on some elementary analogies between arithmetic moduli spaces and the constructions of quantum field theory.
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Bohlender, Gerd, Arnold Kaufmann, and Madan M. Gupta. "Introduction to Fuzzy Arithmetic, Theory and Applications." Mathematics of Computation 47, no. 176 (October 1986): 762. http://dx.doi.org/10.2307/2008199.

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Nannarelli, Alberto, Peter-Michael Seidel, and Ping Tak Peter Tang. "Guest Editors’ Introduction: Special Sectionon Computer Arithmetic." IEEE Transactions on Computers 63, no. 8 (August 1, 2014): 1852–53. http://dx.doi.org/10.1109/tc.2014.2331711.

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Chen, N. X., F. Y. Zhu, and Y. H. Ku. "Introduction to fuzzy arithmetic—theory and applications." Journal of the Franklin Institute 321, no. 3 (March 1986): 189–90. http://dx.doi.org/10.1016/0016-0032(86)90009-8.

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Eastman, Caroline M. "Introduction to fuzzy arithmetic: Theory and applications." International Journal of Approximate Reasoning 1, no. 1 (January 1987): 145–46. http://dx.doi.org/10.1016/0888-613x(87)90010-7.

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Dissertations / Theses on the topic "Introductio arithmetica"

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Hanss, Michael. "Applied fuzzy arithmetic : an introduction with engineering applications /." Berlin [u.a.] : Springer, 2005. http://www.loc.gov/catdir/enhancements/fy0662/2004117177-d.html.

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Burger, Edward B. "Arithmetic from an advanced perspective: an introduction to the Adeles." Pontificia Universidad Católica del Perú, 2014. http://repositorio.pucp.edu.pe/index/handle/123456789/95161.

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Here we offer an introduction to the adele ring over the field of rational numbers Q and highlight some of its beautiful algebraic and topological structure. We then apply this rich structure to revisit some ancient results of number theory and place them within this modern context as well as make some new observations. We conclude by indicating how this theory enables us to extend the basic arithmetic of Q to the more subtle, complicated, and interesting setting of an arbitrary number field.
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Bommireddipalli, Nithesh Venkata Ramana Surya. "Tutorial on Elliptic Curve Arithmetic and Introduction to Elliptic Curve Cryptography (ECC)." University of Cincinnati / OhioLINK, 2017. http://rave.ohiolink.edu/etdc/view?acc_num=ucin1511866832906148.

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Nicholson, Jason Scott. "An introduction to Pythagorean Arithmetic." Thesis, 1996. http://hdl.handle.net/2429/4276.

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This thesis provides a look at some aspects of Pythagorean Arithmetic. The topic is introduced by looking at the historical context in which the Pythagoreans nourished, that is at the arithmetic known to the ancient Egyptians and Babylonians. The view of mathematics that the Pythagoreans held is introduced via a look at the extraordinary life of Pythagoras and a description of the mystical mathematical doctrine that he taught. His disciples, the Pythagoreans, and their school and history are briefly mentioned. Also, the lives and works of some of the authors of the main sources for Pythagorean arithmetic and thought, namely Euclid and the Neo-Pythagoreans Nicomachus of Gerasa, Theon of Smyrna, and Proclus of Lycia, are looked at in more detail. Finally, an overview of the content of the arithmetic of the Pythagoreans is given, with particular attention paid to their relationship to incommensurable or irrational numbers. With this overview in hand, the topics of Perfect and Friendly Numbers, Figurate Numbers, Relative Numbers (the Pythagorean view of ratios and fractions), and Side and Diagonal numbers are explored in more detail. In particular, a selection of the works of Nicomachus, Theon, and Proclus that deal with these topics are analyzed carefully, and their content is reformulated and commented upon using clearer and more modern terminology.
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Books on the topic "Introductio arithmetica"

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McCarthy, Paul J. Introduction to arithmetical functions. New York: Springer-Verlag, 1986.

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McCarthy, Paul J. Introduction to Arithmetical Functions. New York, NY: Springer New York, 1986. http://dx.doi.org/10.1007/978-1-4613-8620-9.

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Karsten, Steffens, and Weitz E. 1965-, eds. Introduction to cardinal arithmetic. Basel: Birkhäuser Verlag, 1999.

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Holz, M., K. Steffens, and E. Weitz. Introduction to Cardinal Arithmetic. Basel: Birkhäuser Basel, 1999. http://dx.doi.org/10.1007/978-3-0346-0330-0.

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Stoddard, John F. Juvenile mental arithmetic: An introduction to the "American intellectual arithmetic". Toronto: A. Miller, 1987.

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Stoddard, John F. Juvenile mental arithmetic: An introduction to the "American intellectual arithmetic". Toronto: A. Miller, 1986.

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Backgrounds of arithmetic and geometry an introduction. Singapore: World Scientific, 1995.

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M, Gupta Madan, ed. Introduction to fuzzy arithmetic: Theory and applications. New York: Van Nostrand Reinhold, 1991.

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M, Gupta Madan, ed. Introduction to fuzzy arithmetic: Theory and applications. New York, N.Y: Van Nostrand Reinhold Co., 1985.

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Jürgen, Spilker, ed. Arithmetical functions: An introduction to elementary and analytic properties of arithmetic functions and to some of their almost-periodic properties. Cambridge: Cambridge University Press, 1994.

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Book chapters on the topic "Introductio arithmetica"

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Givant, Steven. "Arithmetic." In Introduction to Relation Algebras, 113–39. Cham: Springer International Publishing, 2017. http://dx.doi.org/10.1007/978-3-319-65235-1_4.

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Chivers, Ian, and Jane Sleightholme. "Arithmetic." In Introduction to Programming with Fortran, 63–101. Cham: Springer International Publishing, 2015. http://dx.doi.org/10.1007/978-3-319-17701-4_5.

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Chivers, Ian, and Jane Sleightholme. "Arithmetic." In Introduction to Programming with Fortran, 71–111. Cham: Springer International Publishing, 2018. http://dx.doi.org/10.1007/978-3-319-75502-1_5.

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Cornil, Jack-Michel, and Philippe Testud. "Arithmetic." In An Introduction to Maple V, 49–56. Berlin, Heidelberg: Springer Berlin Heidelberg, 2001. http://dx.doi.org/10.1007/978-3-642-56729-2_3.

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Chivers, Ian, and Jane Sleightholme. "Arithmetic." In Introduction to Programming with Fortran, 57–84. London: Springer London, 2011. http://dx.doi.org/10.1007/978-0-85729-233-9_5.

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van Lint, J. H. "Arithmetic Codes." In Introduction to Coding Theory, 133–40. Berlin, Heidelberg: Springer Berlin Heidelberg, 1992. http://dx.doi.org/10.1007/978-3-662-00174-5_10.

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van Lint, J. H. "Arithmetic Codes." In Introduction to Coding Theory, 173–80. Berlin, Heidelberg: Springer Berlin Heidelberg, 1999. http://dx.doi.org/10.1007/978-3-642-58575-3_12.

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Chivers, Ian, and Jane Sleightholme. "IEEE Arithmetic." In Introduction to Programming with Fortran, 539–59. Cham: Springer International Publishing, 2015. http://dx.doi.org/10.1007/978-3-319-17701-4_34.

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Chivers, Ian, and Jane Sleightholme. "IEEE Arithmetic." In Introduction to Programming with Fortran, 665–87. Cham: Springer International Publishing, 2018. http://dx.doi.org/10.1007/978-3-319-75502-1_36.

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McCarthy, Paul J. "Generalized Arithmetical Functions." In Introduction to Arithmetical Functions, 293–332. New York, NY: Springer New York, 1986. http://dx.doi.org/10.1007/978-1-4613-8620-9_7.

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Conference papers on the topic "Introductio arithmetica"

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Holcapek, Michal, and Martin Stepnicka. "Arithmetics of extensional fuzzy numbers - part I: Introduction." In 2012 IEEE International Conference on Fuzzy Systems (FUZZ-IEEE). IEEE, 2012. http://dx.doi.org/10.1109/fuzz-ieee.2012.6251274.

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Versen, Martin, and Michael Hayn. "Introduction to Verification and Test Using a 4-Bit Arithmetic Logic Unit Including a Failure Module in a Xilinx XC9572XL CPLD." In ISTFA 2014. ASM International, 2014. http://dx.doi.org/10.31399/asm.cp.istfa2014p0533.

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Abstract In order to educate students in a practical way, a test object for a lab course is created: shorts and opens in an electrical model of physical defects are injected to a net list of a 4-bit arithmetic logic unit and are implemented in a Xilinx CPLD 9572XL. The fails are electrically controllable and observable in verification and electrical hardware test. By using a Test Access Port (TAP), the fails are analyzed in terms of their root cause. The arithmetic logic unit is used as a key component for lab exercises that complement the test part of an Integrated Circuit System Design and Test course in the master program Electrical Engineering and Information Technology at the University of Applied Sciences in Rosenheim. The labs include an introduction to a HILEVEL Griffin III test system, creation of pin and test setup, the import of vector files from verification test benches, control of a scan test engine and analysis of scan test data.
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Kucherov, N., M. Babenko, A. Tchernykh, V. Kuchukov, and I. Vashchenko. "Increasing reliability and fault tolerance of a secure distributed cloud storage." In The International Workshop on Information, Computation, and Control Systems for Distributed Environments. Crossref, 2020. http://dx.doi.org/10.47350/iccs-de.2020.16.

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The work develops the architecture of a multi-cloud data storage system based on the principles of modular arithmetic. This modication of the data storage system allows increasing reliability of data storage and fault tolerance of the cloud system. To increase fault-tolerance, adaptive data redistribution between available servers is applied. This is possible thanks to the introduction of additional redundancy. This model allows you to restore stored data in case of failure of one or more cloud servers. It is shown how the proposed scheme will enable you to set up reliability, redundancy, and reduce overhead costs for data storage by adapting the parameters of the residual number system.
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Munir, Jajang Kusnendar, and Rahmadhani. "Developing an effective multimedia in education for special education (MESE): An introduction to arithmetic." In PROCEEDINGS OF INTERNATIONAL SEMINAR ON MATHEMATICS, SCIENCE, AND COMPUTER SCIENCE EDUCATION (MSCEIS 2015). AIP Publishing LLC, 2016. http://dx.doi.org/10.1063/1.4941159.

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Shafat, Gabriel, Binyamin Abramov, and Ilya Levin. "Using Threshold Functions in Teaching Electronics." In ASME 2008 9th Biennial Conference on Engineering Systems Design and Analysis. ASMEDC, 2008. http://dx.doi.org/10.1115/esda2008-59125.

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Teaching of digital electronics and the teaching of analog electronics differ significantly. The methods in use today differ in two major points: the required mathematical background and the used didactic methods. The well-known gap between the analog and the digital paradigms in teaching electronics has motivated the present study. The paper introduces a novel approach for electronics course teaching. The approach uses a concept threshold functions. Threshold functions have three remarkable properties that are suitable for the purposes of teaching an electronics course. The first property is the simplicity of the functions’ representation and implementation; the essence of a threshold function is understandable on the common sense level. The second property is the dual analog-digital nature of the threshold functions. The definition of a threshold function usually includes both Boolean and arithmetic portions and weaves together the two alternative domains: digital and analog. Since students are familiar with regular arithmetic functions from previous math courses, the addition of Boolean concepts is simple to grasp. The possibility to transform any threshold function from one domain to another, serves as a powerful tool for processes teaching. The third property we consider is the multiple representations possible for threshold functions. Besides the classical Boolean and arithmetic representations, a threshold function can be represented in the format of an electric/electronic circuit and also can be represented in a spatial form, by three-dimensional visualization for better understanding the functional properties of threshold functions. The paper discusses a problem-based learning with two main types of problems: synthesis and analysis problems of threshold elements. While the analysis problem is relatively simple, the problem of optimal synthesis is NP-complete, and equivalent to a well-known optimization problem that exists also in linear programming. Using the linear programming for teaching the synthesis of a threshold element is a challenging pedagogical task. The paper describes an approach for solving this task. A number of real-world problems may be formulated and efficiently solved by using the proposed threshold-based approach, for example the problems of event-driven control, fuzzy control, linear optimization, self-regulation. These problems formulate as students’ assignments, and are used in the lesson. These exercises convert a lesson of electronics into an interesting, challengeable and useful educational event. Introduction of the threshold approach into the electronics curriculum enables the students to acquire much deeper understanding of electronic systems.
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Marzban, Ali, Grant M. Warner, Paul K. Canavan, Hamid Nayeb-Hashemi, and Amin Ajdari. "The Influence of Muscle Loadings on the Density Distribution of the Proximal Femur." In ASME 2006 International Mechanical Engineering Congress and Exposition. ASMEDC, 2006. http://dx.doi.org/10.1115/imece2006-14996.

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This paper presents an efficient method for simulating the bone remodeling procedure. This method is based on the trajectorial architecture theory of optimization and employs a truss-like model for bone. The truss was subjected to external loads including 5 point loads simulating the hip joint contact forces and 3 muscular forces at the attachment sites of the muscles to the bone. The strain in the links was calculated and the links with high strains were identified. The initial truss is modified by introducing new links wherever the strain exceeds a prescribed value; each link undergoing a high strain is replaced by several new links by adding new nodes around it using the Delaunay method. Introduction of these new links to the truss, which is conducted according to a weighted arithmetic mean formula, strengthens the structure and reduces the strain within the respective zone. This procedure was repeated for several steps. Convergence was achieved when there were no critical links remaining. This method was used to study the 2D shape of proximal femur in the frontal plane and provided results that are consistent with CT data. The proposed method exhibited capability similar to more complicated conventional nonlinear algorithms, however, with a much higher convergence rate and lower computation costs.
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