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Relevant bibliographies by topics / MATHEMATICS / Discrete Mathematics

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Academic literature on the topic 'MATHEMATICS / Discrete Mathematics'

Author: Grafiati

Published: 4 June 2021

Last updated: 29 July 2024

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Journal articles on the topic "MATHEMATICS / Discrete Mathematics"

1

Ivanov, O. A., V. V. Ivanova, and A. A. Saltan. "Discrete mathematics course supported by CAS MATHEMATICA." International Journal of Mathematical Education in Science and Technology 48, no. 6 (2017): 953–63. http://dx.doi.org/10.1080/0020739x.2017.1319979.

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Schoenefeld, Dale A., and Roger L. Wainwright. "Integration of discrete mathematics topics into the secondary mathematics curriculum using Mathematica." ACM SIGCSE Bulletin 25, no. 1 (1993): 78–82. http://dx.doi.org/10.1145/169073.169353.

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Porter, Richard D., John A. Dossey, Albert D. Otto, Lawrence E. Spence, and Charles Vanden Eynden. "Discrete Mathematics." American Mathematical Monthly 95, no. 2 (1988): 158. http://dx.doi.org/10.2307/2323088.

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Harding, A. T., and Norman L. Biggs. "Discrete Mathematics." Mathematical Gazette 71, no. 455 (1987): 85. http://dx.doi.org/10.2307/3616324.

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Davison, R., D. Burghes, J. Deft, N. Green, and N. Price. "Discrete Mathematics." Mathematical Gazette 79, no. 485 (1995): 436. http://dx.doi.org/10.2307/3618351.

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Abram, John, K. A. Ross, and C. R. B. Wright. "Discrete Mathematics." Mathematical Gazette 70, no. 452 (1986): 173. http://dx.doi.org/10.2307/3615811.

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Sheehan, J. "DISCRETE MATHEMATICS." Bulletin of the London Mathematical Society 18, no. 5 (1986): 513–14. http://dx.doi.org/10.1112/blms/18.5.513.

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Monsky, Paul. "Discrete Mathematics." Discrete Mathematics 118, no. 1-3 (1993): 293. http://dx.doi.org/10.1016/0012-365x(93)90075-5.

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Walker, Richard, and Steven Skiena. "Implementing Discrete Mathematics: Combinatorics and Graph Theory with Mathematica." Mathematical Gazette 76, no. 476 (1992): 286. http://dx.doi.org/10.2307/3619148.

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Maffioli, Francesco. "The discreet charm of discrete mathematics." International Journal of Mathematical Education in Science and Technology 18, no. 5 (1987): 657–61. http://dx.doi.org/10.1080/0020739870180503.

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Dissertations / Theses on the topic "MATHEMATICS / Discrete Mathematics"

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Riley, Patrick Anthony Meahan. "Visualization in discrete mathematics." Thesis, National Library of Canada = Bibliothèque nationale du Canada, 1998. http://www.collectionscanada.ca/obj/s4/f2/dsk2/ftp03/MQ38404.pdf.

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Du, Toit Jacques Pierre. "The discrete pulse transform and applications." Thesis, Link to the online version, 2007. http://hdl.handle.net/10019/1052.

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Olsson, Christoffer. "Discreet Discrete Mathematics : Secret Communication Using Latin Squares and Quasigroups." Thesis, Umeå universitet, Institutionen för matematik och matematisk statistik, 2017. http://urn.kb.se/resolve?urn=urn:nbn:se:umu:diva-136860.

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This thesis describes methods of secret communication based on latin squares and their close relative, quasigroups. Different types of cryptosystems are described, including ciphers, public-key cryptosystems, and cryptographic hash functions. There is also a chapter devoted to different secret sharing schemes based on latin squares. The primary objective is to present previously described cryptosystems and secret sharing schemes in a more accessible manner, but this text also defines two new ciphers based on isotopic latin squares and reconstructs a lost proof related to row-latin squares.<br>Denna uppsats beskriver kryptosystem och metoder för hemlighetsdelning baserade på latinska kvadrater och det närliggande konceptet kvasigrupper. Olika sorters chiffer, både symmetriska och asymmetriska, behandlas. Dessutom finns ett kapitel tillägnat kryptografiska hashfunktioner och ett tillägnat metoder för hemlighetsdelning. Huvudsyftet är att beskriva redan existerande metoder för hemlig kommunikation på ett mer lättillgängligt sätt och med nya exempel, men dessutom återskapas ett, till synes, förlorat bevis relaterat till rad-latinska kvadrater samt beskrivs två nya chiffer baserade på isotopa latinska kvadrater.

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Nezami, Ahmad Reza. "DiscMath, an intelligent tutoring system for discrete mathematics." Thesis, National Library of Canada = Bibliothèque nationale du Canada, 1998. http://www.collectionscanada.ca/obj/s4/f2/dsk2/tape17/PQDD_0012/MQ35514.pdf.

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Haven, Andrew J. "Automated proof checking in introductory discrete mathematics classes." Thesis, Massachusetts Institute of Technology, 2013. http://hdl.handle.net/1721.1/85424.

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Thesis: M. Eng., Massachusetts Institute of Technology, Department of Electrical Engineering and Computer Science, 2013.<br>Cataloged from PDF version of thesis.<br>Includes bibliographical references (page 61).<br>Mathematical rigor is an essential concept to learn in the study of computer science. In the process of learning to write math proofs, instructors are heavily involved in giving feedback about correct and incorrect proofs. Computerized feedback in this area can ease the burden on instructors and help students learn more efficiently. Several software packages exist that can verify proofs written in specific programming languages; these tools have support for some basic topics that undergraduates learn, but not all. In this thesis, we develop libraries and proof automation for introductory combinatorics and probability concepts using Coq, an interactive theorem proving language.<br>by Andrew J. Haven.<br>M. Eng.

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Norton, Carolyn H. (Carolyn Haibt). "Problems in discrete optimization." Thesis, Massachusetts Institute of Technology, 1993. http://hdl.handle.net/1721.1/12490.

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Bai, Wei. "Percolation: Discrete and Continuum Models." Kent State University / OhioLINK, 2014. http://rave.ohiolink.edu/etdc/view?acc_num=kent1406757985.

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Chen, Lin. "Parallel complexity of discrete problems /." The Ohio State University, 1990. http://rave.ohiolink.edu/etdc/view?acc_num=osu1487684245466027.

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Bruen, Trevor Cormac Vincent. "Discrete and statistical approaches to genetics." Thesis, McGill University, 2006. http://digitool.Library.McGill.CA:80/R/?func=dbin-jump-full&object_id=102964.

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This thesis presents a number of major innovations in related but different areas of research. The contributions range along a continuum from mathematical phylogenetics, to development of statistical methodology for detecting recombination and finally to the application of statistical techniques to understand Feline Immunodeficiency Virus (FIV) an important pathogen. An underlying theme is the application of combinatorial and statistical ideas to problems in evolutionary biology and genetics.<br>Chapter 2 and Chapter 3 give a number of results relevant to mathematical phylogenetics, in particular maximum parsimony. Chapter 2 presents a new formulation of maximum parsimony in terms of character subdivision, providing a direct link with the character compatibility problem, also known as the perfect phylogeny problem. Specialization of this result to two characters gives a simple formula based on the intersection graph for calculating the parsimony score for a, pair of characters. Chapter 3 further explores maximum parsimony. In particular, it is shown that a maximum parsimony tree for a sequence of characters minimizes a subtree-prune and regraft (SPR) distance to the sets of trees on which each character is convex. Similar connections are also drawn between the Robinson-Foulds distance and a new variant of Dollo parsimony.<br>Chapter 4 presents an application of the work in Chapters 2 and 3 to develop a statistical test for detecting recombination. An extensive coalescent based simulation study shows that this new test is both robust and powerful in a variety of different circumstances compared to a number of current methods. In fact, a simple model of mutation rate correlation is shown to mislead a number of competing tests, causing recombination to be falsely inferred. Analysis of empirical data sets confirm that the new test is one of the best approaches to distinguish recurrent mutation from recombination.<br>Finally, Chapter 5 uses the test developed in Chapter 4 to localize recombinant breakpoints in 14 genomic strains of FIV taken from a wild population of cougars. Based on the technique, three recombinant strains of FIV are identified. Previous studies have focused on the epidemiology and population structure of the virus and this study shows that recombination has also played an important role in the evolution of FIV.

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Rivera-Marrero, Olgamary. "The place of discrete mathematics in the school curriculum: An analysis of preservice teachers' perceptions of the integration of discrete mathematics into secondary level courses." Diss., Virginia Tech, 2007. http://hdl.handle.net/10919/27280.

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The integration of discrete mathematics into the secondary school curriculum (grades 7-12) is an important consideration because the mathematical area is dynamic and interesting, providing students the development of mathematical thinking. Also, it provides for teachers the opportunity to develop innovative mathematics instruction. Since the publication of the document Curriculum and Evaluation Standards for School Mathematics (NCTM, 1989), it has been difficult to determine how many schools have integrated discrete mathematics as a separate or as an integrated course in the school mathematics curriculum. Moreover, the mathematics education research community has, for the most part, not focused on teachers' perceptions about teaching and learning discrete mathematics as an area of investigation. Because of the lack of research in this area, the researcher investigated preservice secondary mathematics teachers' perceptions about discrete mathematics and their reactions to the integration of discrete mathematics into the school curriculum. The researcher purposely selected four preservice secondary teachers who were enrolled in a mathematics course in the fall of 2005. Various data sources were used to get a deep understanding of each participant, including selected coursework, an online survey, and interviews. Results indicated that these preservice teachers perceive discrete mathematics as meaningful to students, as it emphasizes processes such as problem solving and mathematical thinking, and it provides opportunities to use innovative instruction. Because of this, the preservice teachers believe that discrete mathematics should be integrated in the school mathematics curriculum. In addition, several factors that affect the integration of discrete mathematics in the school were identified. These factors are the state curriculum and testing, the historical emphasis of algebra and calculus in the school curriculum, the National Council of Teachers of Mathematics (1989, 2000) Standards documents' views of discrete mathematics, teachers' views of discrete mathematics, the lack of knowledge of discrete mathematics, and the lack of materials and guidelines for teaching discrete mathematics.<br>Ph. D.

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Books on the topic "MATHEMATICS / Discrete Mathematics"

1

Ross, Kenneth A. Discrete mathematics. 4th ed. Prentice Hall, 1999.

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Benjamin, Arthur. Discrete mathematics. The Teaching Company, 2009.

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Alekseev, Valeriy. Discrete mathematics. INFRA-M Academic Publishing LLC., 2020. http://dx.doi.org/10.12737/1172256.

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The textbook is written on the basis of a course of lectures on discrete mathematics given to students of the faculty of computational mathematics and Cybernetics of the Lomonosov Moscow state University. It includes an introduction to such sections of discrete mathematics as Boolean functions, k-valued functions, graphs, codes, automata, and the implementation of Boolean functions by schemes. It can be used for reading the course "Discrete mathematics", as well as for self-study of the basics of discrete mathematics.

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Biggs, Norman L. Discrete mathematics. Clarendon, 1985.

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Johnsonbaugh, Richard. Discrete mathematics. 4th ed. Prentice Hall International, 1997.

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Gallier, Jean. Discrete Mathematics. Springer New York, 2011. http://dx.doi.org/10.1007/978-1-4419-8047-2.

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Lovász, L., J. Pelikán, and K. Vesztergombi. Discrete Mathematics. Springer New York, 2003. http://dx.doi.org/10.1007/b97469.

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Johnsonbaugh, Richard. Discrete mathematics. 2nd ed. Macmillan, 1990.

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Sarkar, B. K. (Bikash Kanti), ed. Discrete mathematics. Oxford University Press, 2011.

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J, Diggle Peter, ed. Discrete mathematics. Edward Arnold, 1995.

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Book chapters on the topic "MATHEMATICS / Discrete Mathematics"

1

Pollack, Henry. "Mathematical modeling and discrete mathematics." In Discrete Mathematics in the Schools. American Mathematical Society, 2000. http://dx.doi.org/10.1090/dimacs/036/11.

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Vázquez, Luis. "Applied Mathematics (Mathematical Physics, Discrete Mathematics, Operations Research)." In Encyclopedia of Sciences and Religions. Springer Netherlands, 2013. http://dx.doi.org/10.1007/978-1-4020-8265-8_1248.

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Ludu, Andrei. "Discrete Mathematics." In Boundaries of a Complex World. Springer Berlin Heidelberg, 2016. http://dx.doi.org/10.1007/978-3-662-49078-5_5.

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Potts, Renfrey B. "Discrete Mathematics." In Proceedings of the Fifth International Congress on Mathematical Education. Birkhäuser Boston, 1986. http://dx.doi.org/10.1007/978-1-4757-4238-1_3.

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Kac, Mark, Gian-Carlo Rota, and Jacob T. Schwartz. "Complicating Mathematics." In Discrete Thoughts. Birkhäuser Boston, 1986. http://dx.doi.org/10.1007/978-1-4899-6667-4_11.

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Kac, Mark, Gian-Carlo Rota, and Jacob T. Schwartz. "Mathematics: Tensions." In Discrete Thoughts. Birkhäuser Boston, 1986. http://dx.doi.org/10.1007/978-1-4899-6667-4_2.

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Kac, Mark, Gian-Carlo Rota, and Jacob T. Schwartz. "Mathematics: Trends." In Discrete Thoughts. Birkhäuser Boston, 1986. http://dx.doi.org/10.1007/978-1-4899-6667-4_8.

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Kac, Mark, Gian-Carlo Rota, and Jacob T. Schwartz. "Complicating Mathematics." In Discrete Thoughts. Birkhäuser Boston, 1992. http://dx.doi.org/10.1007/978-0-8176-4775-9_11.

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Kac, Mark, Gian-Carlo Rota, and Jacob T. Schwartz. "Mathematics: Tensions." In Discrete Thoughts. Birkhäuser Boston, 1992. http://dx.doi.org/10.1007/978-0-8176-4775-9_2.

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Kac, Mark, Gian-Carlo Rota, and Jacob T. Schwartz. "Mathematics: Trends." In Discrete Thoughts. Birkhäuser Boston, 1992. http://dx.doi.org/10.1007/978-0-8176-4775-9_8.

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Conference papers on the topic "MATHEMATICS / Discrete Mathematics"

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Schoenefeld, Dale A., and Roger L. Wainwright. "Integration of discrete mathematics topics into the secondary mathematics curriculum using Mathematica." In the twenty-fourth SIGCSE technical symposium. ACM Press, 1993. http://dx.doi.org/10.1145/169070.169353.

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Tabera Alonso, Luis Felipe. "Discrete Mathematics Days 2022." In Discrete Mathematics Days 2022. Editorial Universidad de Cantabria, 2022. http://dx.doi.org/10.22429/euc2022.016.

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The Discrete Mathematics Days (DMD20/22) will be held on July 4-6, 2022, at Facultad de Ciencias of the Universidad de Cantabria (Santander, Spain). The main focus of this international conference is on current topics in Discrete Mathematics, including (but not limited to): • Algorithms and Complexity • Combinatorics • Coding Theory • Cryptography • Discrete and Computational Geometry • Discrete Optimization • Graph Theory • Location and Related Problems The previous editions were held in Sevilla in 2018 and in Barcelona in 2016, inheriting the tradition of the Jornadas de Matemática Discreta y Algorítmica (JMDA), the Spanish biennial meeting (since 1998) on Discrete Mathematics. The program consists on four plenary talks, 42 contributed talks and a poster session with 11 contributions.

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Antonova, Larisa V., Tatyana V. Burzalova, and Aleksandr V. Daneev. "APPLYING COMPUTER ALGEBRA SYSTEM MATHEMATICA IN TEACHING DISCRETE MATHEMATICS." In Innovative technologies in science and education. Buryat State University Publishing Department, 2015. http://dx.doi.org/10.18101/978-5-9793-0803-6-220-223.

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Fleury, Ann E. "Evaluating discrete mathematics exercises." In the twenty-fourth SIGCSE technical symposium. ACM Press, 1993. http://dx.doi.org/10.1145/169070.169352.

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Remshagen, Anja. "Making discrete mathematics relevant." In the 48th Annual Southeast Regional Conference. ACM Press, 2010. http://dx.doi.org/10.1145/1900008.1900060.

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Page, Rex L. "Software is discrete mathematics." In the eighth ACM SIGPLAN international conference. ACM Press, 2003. http://dx.doi.org/10.1145/944705.944713.

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More, Sara Miner. "Session details: Discrete mathematics." In SIGCSE '11: The 42nd ACM Technical Symposium on Computer Science Education. ACM, 2011. http://dx.doi.org/10.1145/3258453.

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Ma, Yu-Ming. "Heuristic Teaching Method of Discrete Mathematics based on the Mathematical Games." In 2017 2nd International Conference on Humanities and Social Science (HSS 2017). Atlantis Press, 2017. http://dx.doi.org/10.2991/hss-17.2017.27.

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Bridges, Susan. "Graphics assignments in discrete mathematics." In the twenty-fourth SIGCSE technical symposium. ACM Press, 1993. http://dx.doi.org/10.1145/169070.169354.

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Queiruga-Dios, Araceli, Gerardo Rodriguez Sanchez, Angel Martin del Rey, and Marie Demlova. "Teaching and assessing discrete mathematics." In 2018 IEEE Global Engineering Education Conference (EDUCON). IEEE, 2018. http://dx.doi.org/10.1109/educon.2018.8363420.

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Reports on the topic "MATHEMATICS / Discrete Mathematics"

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Hammer, Peter L. Discrete Applied Mathematics. Defense Technical Information Center, 1993. http://dx.doi.org/10.21236/ada273552.

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Mhaskar, Hrushikesh N. Research Area 3: Mathematical Sciences: 3.4, Discrete Mathematics and Computer Science. Defense Technical Information Center, 2015. http://dx.doi.org/10.21236/ada625542.

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Barnett, Janet, Guram Bezhanishvili, Hing Leung, et al. Primary Historical Sources in the Classroom: Discrete Mathematics and Computer Science. The MAA Mathematical Sciences Digital Library, 2013. http://dx.doi.org/10.4169/loci003984.

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Pengelley, David. Sums of Powers in Discrete Mathematics: Archimedes Sums Squares in the Sand. The MAA Mathematical Sciences Digital Library, 2013. http://dx.doi.org/10.4169/loci003986.

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Fellows, M. R. Research on Mega-Math: Discrete mathematics and computer science for children. Final report. Office of Scientific and Technical Information (OSTI), 1995. http://dx.doi.org/10.2172/106599.

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Hedetniemi, S. T., and R. Lasker. Clemson Mini-Conference onR discrete Mathematics (5th), Held in Clemson, South Carolina on October 11-12, 1990. Defense Technical Information Center, 1991. http://dx.doi.org/10.21236/ada238616.

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Saptsin, Vladimir, and Володимир Миколайович Соловйов. Relativistic quantum econophysics – new paradigms in complex systems modelling. [б.в.], 2009. http://dx.doi.org/10.31812/0564/1134.

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This work deals with the new, relativistic direction in quantum econophysics, within the bounds of which a change of the classical paradigms in mathematical modelling of socio-economic system is oﬀered. Classical physics proceeds from the hypothesis that immediate values of all the physical quantities, characterizing system’s state, exist and can be accurately measured in principle. Non-relativistic quantum mechanics does not reject the existence of the immediate values of the classical physical quantities, nevertheless not each of them can be simultaneously measured (the uncertainty principle). Relativistic quantum mechanics rejects the existence of the immediate values of any physical quantity in principle, and consequently the notion of the system state, including the notion of the wave function, which becomes rigorously nondeﬁnable. The task of this work consists in econophysical analysis of the conceptual fundamentals and mathematical apparatus of the classical physics, relativity theory, non-relativistic and relativistic quantum mechanics, subject to the historical, psychological and philosophical aspects and modern state of the socio-economic modeling problem. We have shown that actually and, virtually, a long time ago, new paradigms of modeling were accepted in the quantum theory, within the bounds of which the notion of the physical quantity operator becomes the primary fundamental conception(operator is a mathematical image of the procedure, the action), description of the system dynamics becomes discrete and approximate in its essence, prediction of the future, even in the rough, is actually impossible when setting aside the aftereﬀect i.e. the memory. In consideration of the analysis conducted in the work we suggest new paradigms of the economical-mathematical modeling.

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Kozmina, Jelena, and Alytis Gruodis. Tool QUATTRO-20 for Examining of the Recurrent Sequencies Generated by Discrete Analogue of the Verhulst Equation. Publishing House - Vilnius Business College, 2023. http://dx.doi.org/10.57005/ab.2023.1.3.

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QUATTRO-20 as advanced tool for estimation of the recurrent sequences was created and tested. Discrete analogue of Verhulst equation x(t+1)=F(x(t)), F(x)=rx(1-x), t=0, 1, 2, ..., was selected as the model of recurrent sequence. Related mathematical material is presented in user-friendly form: convergence conditions, Lyapunov index, behaviour of the sequencies generated by second, third, fourth compositions of function F(x). QUATTRO-20 contains several visualization methods such as xy plot, Bifurcation diagram, distribution of Lyapunov index, CobWeb plot, graphical solution. Novel graphical technique of realization of the sequence convergence was presented.

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Semerikov, Serhiy O., Illia O. Teplytskyi, Yuliia V. Yechkalo, and Arnold E. Kiv. Computer Simulation of Neural Networks Using Spreadsheets: The Dawn of the Age of Camelot. [б. в.], 2018. http://dx.doi.org/10.31812/123456789/2648.

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The article substantiates the necessity to develop training methods of computer simulation of neural networks in the spreadsheet environment. The systematic review of their application to simulating artificial neural networks is performed. The authors distinguish basic approaches to solving the problem of network computer simulation training in the spreadsheet environment, joint application of spreadsheets and tools of neural network simulation, application of third-party add-ins to spreadsheets, development of macros using the embedded languages of spreadsheets; use of standard spreadsheet add-ins for non-linear optimization, creation of neural networks in the spreadsheet environment without add-ins and macros. After analyzing a collection of writings of 1890-1950, the research determines the role of the scientific journal “Bulletin of Mathematical Biophysics”, its founder Nicolas Rashevsky and the scientific community around the journal in creating and developing models and methods of computational neuroscience. There are identified psychophysical basics of creating neural networks, mathematical foundations of neural computing and methods of neuroengineering (image recognition, in particular). The role of Walter Pitts in combining the descriptive and quantitative theories of training is discussed. It is shown that to acquire neural simulation competences in the spreadsheet environment, one should master the models based on the historical and genetic approach. It is indicated that there are three groups of models, which are promising in terms of developing corresponding methods – the continuous two-factor model of Rashevsky, the discrete model of McCulloch and Pitts, and the discrete-continuous models of Householder and Landahl.

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Stache, Jeremiah. A dynamic aircraft response model for determining roughness limits. Engineer Research and Development Center (U.S.), 2024. http://dx.doi.org/10.21079/11681/48513.

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Runway roughness poses significant risks to aircraft and aircraft personnel. Roughness irregularities can be found in both civilian and military airfields, from rutting to bomb-damaged repairs. Various methods exist for determining roughness criteria, such as discrete surface deviation evaluation and dynamic response models. Although validated dynamic response models such as TAXI-G were used extensively in the HAVE BOUNCE program from the 1970s up to the late 1990s, modern military aircraft have not undergone the same formal analysis. This paper presents the mathematical formulation and validation of the WESTAX dynamic response model. The computer program is capable of simulating the responses of different critical aircraft components while trafficking over idealized runway profiles. The validation results showed that the numerical model was capable of closely matching field data over single- and double bump events. The findings suggest that the WESTAX dynamic response model is a capable candidate for establishing aircraft roughness limits.

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