Academic literature on the topic 'Principle of Mathematical Induction'

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Journal articles on the topic "Principle of Mathematical Induction"

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Schurz, Gerhard. "Meta-Induction and Social Epistemology: Computer Simulations of Prediction Games." Episteme 6, no. 2 (2009): 200–220. http://dx.doi.org/10.3366/e1742360009000641.

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ABSTRACTThe justification of induction is of central significance for cross-cultural social epistemology. Different ‘epistemological cultures’ do not only differ in their beliefs, but also in their belief-forming methods and evaluation standards. For an objective comparison of different methods and standards, one needs (meta-)induction over past successes. A notorious obstacle to the problem of justifying induction lies in the fact that the success of object-inductive prediction methods (i.e., methods applied at the level of events) can neither be shown to be universally reliable (Hume's insig
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Huang, Erick Ceasar, Sharon Sherry Huang, and Cheng-Hua Tsai. "A Study on the Minimum and Maximum Sum of C2 Problem in IMO2014." Journal of Mathematics Research 9, no. 5 (2017): 1. http://dx.doi.org/10.5539/jmr.v9n5p1.

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The focus of this paper is primarily on a problem: the principle of the extreme value under some special operations. After enumerating from the maximum sum to minimum and solving these cases, I found that the use of the two mathematical models enabled the derivation of the general form of the use of the two mathematical models enabled the derivation of the general form of the maximum and the minimum sum. This program looks into the principles of minimum and maximum sum, and the various patterns that come along with it. In order to further discuss this kind of problems, we set up other differen
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KOZEN, DEXTER, and ALEXANDRA SILVA. "Practical coinduction." Mathematical Structures in Computer Science 27, no. 7 (2016): 1132–52. http://dx.doi.org/10.1017/s0960129515000493.

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Induction is a well-established proof principle that is taught in most undergraduate programs in mathematics and computer science. In computer science, it is used primarily to reason about inductively defined datatypes such as finite lists, finite trees and the natural numbers. Coinduction is the dual principle that can be used to reason about coinductive datatypes such as infinite streams or trees, but it is not as widespread or as well understood. In this paper, we illustrate through several examples the use of coinduction in informal mathematical arguments. Our aim is to promote the princip
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Tamburrino, Antonello, Gianpaolo Piscitelli, and Zhengfang Zhou. "The monotonicity principle for magnetic induction tomography." Inverse Problems 37, no. 9 (2021): 095003. http://dx.doi.org/10.1088/1361-6420/ac156c.

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Deng, Jia. "Study on Giant Magnetostrictive Material with Transducer Finite Element Analysis." Advanced Materials Research 700 (May 2013): 3–6. http://dx.doi.org/10.4028/www.scientific.net/amr.700.3.

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Giant magnetostrictive transducer in the work show strong magnetic mechanical coupling characteristics and nonlinear characteristics, its magnetic state and mechanical state influence each other, coupling process is very complicated, this paper according to the giant magnetostrictive material features, combined with the magnetic domain theory, establish the super magnetostrictive micro displacement actuator model, Explore stress and magnetic field changes, GMM inner magnetic strength change, and the change of strain. Join based on giant magnetostrictive actuator structure and working principle
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Gao, Fang, and Li Wei. "The Research of the Asynchronous Motor Vector Control Arithmetic." Applied Mechanics and Materials 157-158 (February 2012): 878–81. http://dx.doi.org/10.4028/www.scientific.net/amm.157-158.878.

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This paper is based on analysis of mathematical model of the induction motor and the basis of the asynchronous motor vector control principle puts forward a torque of inner closed-loop speed, flux vector control system of induction motors. Using Matlab/Simulink construct simulation model and the simulation results are analyzed.
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Miller, Allen R. "m-Dimensional Schlömilch Series." Canadian Mathematical Bulletin 38, no. 3 (1995): 347–51. http://dx.doi.org/10.4153/cmb-1995-050-x.

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AbstractBy using the principle of mathematical induction a simple algebraic formula is derived for an m-dimensional Schlömilch series. The result yields a countably infinite number of representations for null-functions on increasingly larger open intervals.
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Yang, Qi Yu, Xia Zhang, and Tian Rui Chen. "Modeling of High Power Water Resistor Speed Control System of Wound Rotor Induction Motor." Applied Mechanics and Materials 727-728 (January 2015): 746–51. http://dx.doi.org/10.4028/www.scientific.net/amm.727-728.746.

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A variable value water resistor speed control system for rotor winding induction motor is introduced. On the basis of the structure about the water resistance and the governor principle, the steady-state mathematical model and the dynamic mathematical models are established. The effect of temperature changes on the resistance of the electrolyte solution is discussed, and temperature compensation is proposed. Simulation results show that the water resistance speed control system is feasible.
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Smith, Leslie. "Mathematical induction and its formation during childhood." Behavioral and Brain Sciences 31, no. 6 (2008): 669–70. http://dx.doi.org/10.1017/s0140525x08005864.

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AbstractI support Rips et al.'s critique of psychology through (1) a complementary argument about the normative, modal, constitutive nature of mathematical principles. I add two reservations about their analysis of mathematical induction, arguing (2) for constructivism against their logicism as to its interpretation and formation in childhood (Smith 2002), and (3) for Piaget's account of reasons in rule learning.
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Lin, Jyh-Woei. "Is the Algorithm of Artificial Neural Network a Deduction or Induction? Discussion between Natural Sciences, Mathematics and Philosophy." European Journal of Information Technologies and Computer Science 1, no. 4 (2021): 6–8. http://dx.doi.org/10.24018/compute.2021.1.4.29.

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The algorithm of artificial neural network (ANN) has been defined as a supervised learning and heuristic algorithms. In training an ANN model, big data is necessary to use as training data to obtain perfectly accurate predicted data. However, big data really have no clear definition. Therefore, adding new training data to re-train an ANN model, by which can improve the predicted accuracy. This action of re-training this ANN model with added new training data is repeated to approach the laws of physics that is accessed to the principle of induction e.g., empirical formulas. However, accessing t
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Dissertations / Theses on the topic "Principle of Mathematical Induction"

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Nobrega, Luciano Xavier Gomes da. "Princ?pio da Indu??o Matem?tica no Ensino M?dio." Universidade Federal do Rio Grande do Norte, 2013. http://repositorio.ufrn.br:8080/jspui/handle/123456789/17018.

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Made available in DSpace on 2014-12-17T15:27:45Z (GMT). No. of bitstreams: 1 LucianoXGN_DISSERT.pdf: 807577 bytes, checksum: 906f4b332a5302a928290cb0ddc72490 (MD5) Previous issue date: 2013-04-08<br>Coordena??o de Aperfei?oamento de Pessoal de N?vel Superior<br>We developed this dissertation aiming its in the process of teaching and learning of the Principle of Mathematical Induction and we set our efforts so that the students of the first year of the high school can assimilate the content having the knowledge seen in the basic education as foreknowledge. With this, we seek to awake in the s
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Souza, Márcia Erondina Dias de. "UMA PROPOSTA DE ABORDAGEM AO PROBLEMA DE FLÁVIO JOSEFO APLICADA AO ENSINO MÉDIO." Universidade Federal de Santa Maria, 2013. http://repositorio.ufsm.br/handle/1/10935.

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Coordenação de Aperfeiçoamento de Pessoal de Nível Superior<br>In this paper, we presents a didactic sequence of activities designed for a group of students of high school, their age were about 15 and 18 years old, with the main objective to study the problem proposed by the mathematician Flávio Josefo, in mid-year 64. The legend tells that a group of rebels, including Flávio Josefo, was trapped in a cave by the enemy army. Preferring the suicide to capture, the rebels decided to form a circle and, counting over this, to kill each third person of the rest of the group. Josefo was contrary of t
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Wedin, Hanna. "Mathematical Induction." Thesis, Uppsala universitet, Algebra och geometri, 2020. http://urn.kb.se/resolve?urn=urn:nbn:se:uu:diva-414099.

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Mestha, Lingappa Keshav. "The principle and operation of an induction stepping motor." Thesis, University of Bath, 1986. https://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.370992.

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Andersson, Daniel. "Contributions to the Stochastic Maximum Principle." Doctoral thesis, KTH, Matematik (Avd.), 2009. http://urn.kb.se/resolve?urn=urn:nbn:se:kth:diva-11301.

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This thesis consists of four papers treating the maximum principle for stochastic control problems. In the first paper we study the optimal control of a class of stochastic differential equations (SDEs) of mean-field type, where the coefficients are allowed to depend on the law of the process. Moreover, the cost functional of the control problem may also depend on the law of the process. Necessary and sufficient conditions for optimality are derived in the form of a maximum principle, which is also applied to solve the mean-variance portfolio problem. In the second paper, we study the problem
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Gruver, John David. "Growth in Students' Conceptions of Mathematical Induction." BYU ScholarsArchive, 2010. https://scholarsarchive.byu.edu/etd/2166.

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While proof and reasoning lie at the core of mathematical practice, how students learn to reason formally and build convincing proofs continues to invite reflection and discussion. To add to this discussion I investigated how three students grew in their conceptions of mathematical induction. While each of the students in the study had different experiences and grew in different ways, the grounded axes (triggering events, personal questions about mathematics, and personal questions about a particular solution) highlighted patterns in the narratives and from these patterns a theoretical perspec
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Mantke, Wolfgang Johann. "Picture independent quantum action principle." Diss., Georgia Institute of Technology, 1992. http://hdl.handle.net/1853/29850.

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Williams, J. P. "Mathematical modelling of the dynamic characteristics of induction heating systems." Thesis, Swansea University, 1991. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.636635.

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Induction furnaces provide a cost effective, easily controlled means of heating any electrically conductive load by the process of electromagnetic induction. Such furnaces can be more efficient than their fossil fuel equivalents but rising electricity costs have led both the equipment manufacturers and users to demand even higher efficiencies. The research described in this thesis has therefore been undertaken to improve the mathematical analysis with the ultimate aim of developing more rigorous design methodologies. Studies of the mathematical equations describing the energy transfer within t
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Warren, Patricia F. "A mathematical model of knee kinematics utilizing the principle of minimum energy." Thesis, Monterey, Calif. : Springfield, Va. : Naval Postgraduate School ; Available from National Technical Information Service, 1998. http://handle.dtic.mil/100.2/ADA351258.

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Thesis (M.S. in Applied Physics) Naval Postgraduate School, June 1998.<br>Thesis advisor(s): Young L. Kwon, William B. Maier. "June 1998." Includes bibliographical references (p. 65). Also available online.
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Palmgren, Myrna. "Optimal Truck Scheduling : Mathematical Modeling and Solution by the Column Generation Principle." Doctoral thesis, Linköping : Linköpings universitet, 2005. http://urn.kb.se/resolve?urn=urn:nbn:se:liu:diva-3590.

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Books on the topic "Principle of Mathematical Induction"

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A, Dashevsky Yu, ed. Principles of induction logging. Elsevier, 2003.

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Berman, V. L. Principal models and hypotheses of physics, 1931-1992. V. Berman, 1992.

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Zhang, Hantao, ed. Automated Mathematical Induction. Springer Netherlands, 1996. http://dx.doi.org/10.1007/978-94-009-1675-3.

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Zhang, H. Automated Mathematical Induction. Springer Netherlands, 1996.

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Mathematical methods for geo-electromagnetic induction. Research Studies Press, 1994.

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Trzynadlowski, Andrzej. The field orientation principle in control of induction motors. Kluwer Academic, 1994.

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Trzynadlowski, Andrzej M. The Field Orientation Principle in Control of Induction Motors. Springer US, 1994. http://dx.doi.org/10.1007/978-1-4615-2730-5.

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Handbook of mathematical induction: Theory and applications. CRC Press, 2011.

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Berger, James O. The likelihood principle. 2nd ed. Institute of Mathematical Statistics, 1988.

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1901-, Copson E. T., ed. The mathematical theory of Huygens' principle. 3rd ed. Chelsea Pub. Co., 1987.

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Book chapters on the topic "Principle of Mathematical Induction"

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Sedrakyan, Hayk, and Nairi Sedrakyan. "The Principle of Mathematical Induction." In Problem Books in Mathematics. Springer International Publishing, 2018. http://dx.doi.org/10.1007/978-3-319-77836-5_7.

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Manfrino, Radmila Bulajich, José Antonio Gómez Ortega, and Rogelio Valdez Delgado. "Induction Principle." In Topics in Algebra and Analysis. Springer International Publishing, 2015. http://dx.doi.org/10.1007/978-3-319-11946-5_3.

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Rosenthal, Daniel, David Rosenthal, and Peter Rosenthal. "Mathematical Induction." In Undergraduate Texts in Mathematics. Springer International Publishing, 2018. http://dx.doi.org/10.1007/978-3-030-00632-7_2.

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Daepp, Ulrich, and Pamela Gorkin. "Mathematical Induction." In Reading, Writing, and Proving. Springer New York, 2011. http://dx.doi.org/10.1007/978-1-4419-9479-0_18.

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Cunningham, Daniel W. "Mathematical Induction." In A Logical Introduction to Proof. Springer New York, 2012. http://dx.doi.org/10.1007/978-1-4614-3631-7_4.

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Nicholson, Neil R. "Mathematical Induction." In A Transition to Proof. Chapman and Hall/CRC, 2019. http://dx.doi.org/10.1201/9780429259838-4.

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Effinger, Gove, and Gary L. Mullen. "Mathematical Induction." In An Elementary Transition to Abstract Mathematics. CRC Press, 2019. http://dx.doi.org/10.1201/9780429324819-4.

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Grieser, Daniel. "Mathematical induction." In Springer Undergraduate Mathematics Series. Springer International Publishing, 2018. http://dx.doi.org/10.1007/978-3-319-90321-7_3.

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Martin, George E. "Mathematical Induction." In Undergraduate Texts in Mathematics. Springer New York, 2001. http://dx.doi.org/10.1007/978-1-4757-4878-9_7.

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Liu, Andrew Chiang-Fung. "Mathematical Induction." In S.M.A.R.T. Circle Projects. Springer International Publishing, 2017. http://dx.doi.org/10.1007/978-3-319-56811-9_5.

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Conference papers on the topic "Principle of Mathematical Induction"

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Kartika, Bhirawa Perdana, Siska Kurniawati, and Nugroho Adi Pramono. "Simple detection device for induction currents using Lorentz force principle based on c-945 transistors." In THE 4TH INTERNATIONAL CONFERENCE ON MATHEMATICS AND SCIENCE EDUCATION (ICoMSE) 2020: Innovative Research in Science and Mathematics Education in The Disruptive Era. AIP Publishing, 2021. http://dx.doi.org/10.1063/5.0037484.

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Poletkin, Kirill. "A Micromachined Contactless Suspension With Zero Spring Constant." In ASME 2012 International Mechanical Engineering Congress and Exposition. American Society of Mechanical Engineers, 2012. http://dx.doi.org/10.1115/imece2012-86465.

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In this paper, a micromachined contactless suspension with a zero spring constant that provides possibility to significantly increasing sensitivity of micromachined sensors is studied. Minimization of the spring constant of the contactless suspension is achieved by combining inductive and electric contactless suspensions. In particular, the conditions required to eliminate the spring constant of the suspension and achieve stable levitation of the disk shaped proof mass are obtained based on the analysis of developed mathematical model of the suspension. It is shown that such a suspension can b
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Matviychuk, Yaroslav. "Reduction principle of the mathematical model." In 2017 2nd International Conference on Advanced Information and Communication Technologies (AICT). IEEE, 2017. http://dx.doi.org/10.1109/aiact.2017.8020085.

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Zhang, Zhiliang. "Fuzzy Principle Algorithm based on Mathematical Theory." In 2015 4th National Conference on Electrical, Electronics and Computer Engineering. Atlantis Press, 2016. http://dx.doi.org/10.2991/nceece-15.2016.206.

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Gusman, Yu A., and Yu A. Pichugin. "A DYNAMIC-STOCHASTIC PRINCIPLE OF MATHEMATICAL SIMULATION." In MODELING AND SITUATIONAL MANAGEMENT THE QUALITY OF COMPLEX SYSTEMS. Saint Petersburg State University of Aerospace Instrumentation, 2021. http://dx.doi.org/10.31799/978-5-8088-1558-2-2021-2-19-23.

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The paper considers the dynamic-stochastic approach to the construction and use of predictive models, which is based on the stochastic nature of model parameter estimates. A mathematical apparatus for generating perturbations of model parameters in accordance with their probability distribution is proposed.
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Simon, Shahril, Mohd Omar, Norazliani Md Lazam, and Mohd Nazrul Mohd Amin. "Factor investing based on Musharakah principle." In THE 22ND NATIONAL SYMPOSIUM ON MATHEMATICAL SCIENCES (SKSM22): Strengthening Research and Collaboration of Mathematical Sciences in Malaysia. AIP Publishing LLC, 2015. http://dx.doi.org/10.1063/1.4932468.

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Rak, Josef. "Mathematical model of induction heating." In INTERNATIONAL CONFERENCE OF NUMERICAL ANALYSIS AND APPLIED MATHEMATICS (ICNAAM 2016). Author(s), 2017. http://dx.doi.org/10.1063/1.4992729.

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Suhaimi, Siti Noor Aini binti, and Hassilah binti Salleh. "Adapting mudharabah principle in Islamic option." In PROCEEDINGS OF THE 20TH NATIONAL SYMPOSIUM ON MATHEMATICAL SCIENCES: Research in Mathematical Sciences: A Catalyst for Creativity and Innovation. AIP, 2013. http://dx.doi.org/10.1063/1.4801260.

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Weijun, Su. "Mathematical principle of medical apparatus of imaging-diagnose." In International Conference on Mechanics,Materials and Structural Engineering (ICMMSE 2016). Atlantis Press, 2016. http://dx.doi.org/10.2991/icmmse-16.2016.70.

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Drysdale, Robert L. Scot. "Mathematical induction is a recursive technique." In the 42nd ACM technical symposium. ACM Press, 2011. http://dx.doi.org/10.1145/1953163.1953246.

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Reports on the topic "Principle of Mathematical Induction"

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Incongruity between biological and chronologic age among the pupils of sports schools and the problem of group lessons effectiveness at the initial stage of training in Greco-Roman wrestling. Aleksandr S. Kuznetsov, 2021. http://dx.doi.org/10.14526/2070-4798-2021-16-1-19-23.

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Considerable influence and compulsory dropout among those, who go in for GrecoRoman wrestling at the age of 10-13, does not take into account the level of individual biological development and integral demands domination claimed on too high general physical training (GPT) (4) normatives fulfillment. It corresponds with general situation in the system of education (6, 9). In spite of uneven speed of biological development (1, 8, 9), there are general demands claimed on physical training at school for age groups (5) in accordance with chronologic age. The same situation is at sports schools. Tec
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