Relevant bibliographies by topics / Population genetics Mathematics

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  1. Journal articles
  2. Dissertations / Theses
  3. Books
  4. Book chapters
  5. Conference papers

Academic literature on the topic 'Population genetics Mathematics'

Author: Grafiati
Published: 10 December 2022
Last updated: 31 July 2025

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Journal articles on the topic "Population genetics Mathematics"

1

Morrison, Margaret. "Population Genetics and Population Thinking: Mathematics and the Role of the Individual." Philosophy of Science 71, no. 5 (2004): 1189–200. http://dx.doi.org/10.1086/425241.

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PROVINE, W. "Population genetics." Bulletin of Mathematical Biology 52, no. 1-2 (1990): 201–7. http://dx.doi.org/10.1016/s0092-8240(05)80009-6.

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Kozyrev, S. V. "Learning Theory and Population Genetics." Lobachevskii Journal of Mathematics 43, no. 7 (2022): 1655–62. http://dx.doi.org/10.1134/s1995080222100195.

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Lambert, Amaury. "Population genetics, ecology and the size of populations." Journal of Mathematical Biology 60, no. 3 (2009): 469–72. http://dx.doi.org/10.1007/s00285-009-0286-3.

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Provine, William B. "Discussion: Population genetics." Bulletin of Mathematical Biology 52, no. 1-2 (1990): 199–207. http://dx.doi.org/10.1007/bf02459573.

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Curnow, R. N., A. H. D. Brown, M. T. Clegg, A. L. Kahler, and B. S. Weir. "Plant Population Genetics, Breeding, and Genetic Resources." Biometrics 46, no. 4 (1990): 1241. http://dx.doi.org/10.2307/2532478.

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KIMMEL, MAREK. "WHY MATHEMATICS IS NEEDED TO UNDERSTAND COMPLEX GENETICS DISEASES." Journal of Biological Systems 10, no. 04 (2002): 359–80. http://dx.doi.org/10.1142/s0218339002000688.

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We discuss mathematical approaches to population genetics and evolutionary theory in the context of complex genetic disease. Mechanisms, which we discuss, include gene-environment interaction in lung cancer as well as classical mechanisms of stabilization of genetic disease such as overdominance, antagonistic pleiotropy and recurring mutations. Specific modeling approaches discussed include: (1) Mathematical model of the evolution of disease chromosome applied to mapping of a disease gene. (2) Iterated Galton–Watson branching process applied to modeling of trinucleotide expansion in triplet-re
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Haigh, John. "INTRODUCTION TO THEORETICAL POPULATION GENETICS (Biomathematics 21)." Bulletin of the London Mathematical Society 26, no. 3 (1994): 318–20. http://dx.doi.org/10.1112/blms/26.3.318.

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L�nger, Helmut. "On an inequality arising from population genetics." Archiv der Mathematik 48, no. 2 (1987): 175–77. http://dx.doi.org/10.1007/bf01189288.

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Jiang, Yingying, and Wendi Wang. "Bifurcation Analysis in Population Genetics Model with Partial Selfing." Abstract and Applied Analysis 2013 (2013): 1–9. http://dx.doi.org/10.1155/2013/164504.

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A new model which allows both the effect of partial selfing selection and an exponential function of the expected payoff is considered. This combines ideas from genetics and evolutionary game theory. The aim of this work is to study the effects of partial selfing selection on the discrete dynamics of population evolution. It is shown that the system undergoes period doubling bifurcation, saddle-node bifurcation, and Neimark-Sacker bifurcation by using center manifold theorem and bifurcation theory. Numerical simulations are presented not only to illustrate our results with the theoretical anal
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Dissertations / Theses on the topic "Population genetics Mathematics"

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Herbots, Hilde Maria Jozefa Dominiek. "Stochastic models in population genetics : genealogy and genetic differentiation in structured populations." Thesis, Queen Mary, University of London, 1994. http://qmro.qmul.ac.uk/xmlui/handle/123456789/1482.

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The theory of probability and stochastic processes is applied to a current issue in population genetics, namely that of genealogy and genetic differentiation in subdivided populations. It is proved that under a reasonable model for reproduction and migration, the ancestral process of a sample from a subdivided population converges weakly, as the subpopulation sizes tend to infinity, to a continuous-time Markov chain called the "structured coalescent". The moment-generating function, the mean and the cond moment of the time since the most recent common ancestor (called the "coalescence time") o
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Levin, Alex Ph D. (Alexander) Massachusetts Institute of Technology. "Graphs, matrices, and populations : linear algebraic techniques in theoretical computer science and population genetics." Thesis, Massachusetts Institute of Technology, 2013. http://hdl.handle.net/1721.1/83695.

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Thesis (Ph. D.)--Massachusetts Institute of Technology, Department of Mathematics, 2013.<br>Cataloged from PDF version of thesis.<br>Includes bibliographical references (pages 149-155).<br>In this thesis, we present several algorithmic results for problems in spectral graph theory and computational biology. The first part concerns the problem of spectral sparsification. It is known that every dense graph can be approximated in a strong sense by a sparse subgraph, known as a spectral sparsifier of the graph. Furthermore, researchers have recently developed efficient algorithms for computing suc
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Ishida, Yoichi. "Secret analogies mathematics, ecology, and evolution /." abstract and full text PDF (free order & download UNR users only), 2007. http://0-gateway.proquest.com.innopac.library.unr.edu/openurl?url_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:dissertation&res_dat=xri:pqdiss&rft_dat=xri:pqdiss:1442878.

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Reich, David Emile. "Genetic analysis of human evolutionary history with implications for gene mapping." Thesis, University of Oxford, 1999. http://ora.ox.ac.uk/objects/uuid:9e3a3eb7-3cce-4494-82e8-8616fabed145.

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Genetic variation contains detailed and quantitative evidence about the history of populations. The historical traces of demographic growth and contraction, as well as the history of human disease, have left traces on the patterns of modern variation and can be studied by sampling present-day populations. However, the data sets that are necessary in order to take full advantage of this living archaeological record have not been available until recently. The quality and quantity of data have increased dramatically during the past decade because of the identification of polymorphisms, including
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Gjini, Erida. "Bridging between parasite genomic data and population processes : trypanosome dynamics and the antigenic archive." Thesis, University of Glasgow, 2012. http://theses.gla.ac.uk/3375/.

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Antigenic variation processes play a central role in parasite invasion and chronic infectious disease, and are likely to respond to host immune mechanisms and epidemiological characteristics. Whether changes in antigenic variation strategies lead to net positive or negative effects for parasite fitness is unclear. To improve our understanding of pathogen evolution, it is important to investigate the mechanisms by which pathogens regulate antigenic variant expression. This involves consideration of the complex interactions that occur between parasites and their hosts, and top-down and bottom-up
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Lundy, Ian J. "Theoretical population genetics of spatially structured populations /." Title page, contents and summary only, 1997. http://web4.library.adelaide.edu.au/theses/09PH/09phl962.pdf.

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Loucoubar, Cheikh. "Statistical genetic analysis of infectious disease (malaria) phenotypes from a longitudinal study in a population with significant familial relationships." Phd thesis, Université René Descartes - Paris V, 2012. http://tel.archives-ouvertes.fr/tel-00685104.

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Long term longitudinal surveys have the advantage to enable several sampling of the studied phenomena and then, with the repeated measures obtained, find a confirmed tendency. However, these long term surveys generate large epidemiological datasets including more sources of noise than normal datasets (e.g. one single measure per observation unit) and potential correlation in the measured values. Here, we studied data from a long-term epidemiological and genetic survey of malaria disease in two family-based cohorts in Senegal, followed for 19 years (1990-2008) in Dielmo and for 16 years (1993-2
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Olsson, Fredrik. "Inbreeding, Effective Population Sizes and Genetic Differentiation : A Mathematical Analysis of Structured Populations." Doctoral thesis, Stockholms universitet, Matematiska institutionen, 2015. http://urn.kb.se/resolve?urn=urn:nbn:se:su:diva-115708.

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This thesis consists of four papers on various aspects of inbreeding, effective population sizes and genetic differentiation in structured populations, that is, populations that consist of a number of subpopulations. Three of the papers concern age structured populations, where in the first paper we concentrate on calculating the variance effective population size (NeV) and how NeV depends on the time between measurements and the weighting scheme of age classes. In the third paper we develop an estimation procedure of NeV which uses age specific demographic parameters to obtain approximately u
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Xu, Yiyang. "Topics in population genetics and mathematical evolutionary biology." Thesis, University of Bristol, 2015. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.682366.

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Part A studies the optimal strategies of seed germination problems where the population has a class structure under a fluctuating environment . In particular, a multidimensional age-class model is studied using a dynamical programming method. Numerical results about the so-called optimal stochastic strategy which consists of information about previous environmental states are computed. Comparing the optimal stochastic strategy with the optimal population-based strategy shows that the optimal stochastic strategy is highly effective in genera.l. A potentially useful diffusion approximation for t
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Martin, Anna. "Mathematical modeling of seed bank dynamics in population genetics." Thesis, Uppsala universitet, Institutionen för informationsteknologi, 2017. http://urn.kb.se/resolve?urn=urn:nbn:se:uu:diva-321191.

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We study the genealogical structure of samples from a population for which any givengeneration is made up of direct descendants from one randomly chosen previousgeneration. These occur in nature when there are seed banks or egg banks allowingan individual to leave offspring several generations in the future. Kaj et al. studied in2001 the case where any given generation is made up of descendants from severalprevious generations and showed how this temporal structure in the reproductionmechanism causes a decrease in the coalescence rate. In this project we will showthat having all samples pick t
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Books on the topic "Population genetics Mathematics"

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1947-, Arino Ovide, Axelrod David E. 1940-, Kimmel Marek 1959-, and International Conference on Mathematical Population Dynamics (2nd : 1989 : Rutgers University), eds. Mathematical population dynamics: Proceedings of the second international conference. M. Dekker, 1991.

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1933-, Fried Bernard, and Toledo Rafael, eds. The biology of echinostomes: From the molecule to the community. Springer, 2009.

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Bernd, Blasius, Kurths J. 1953-, and Stone Lewi, eds. Complex population dynamics: Nonlinear modeling in ecology, epidemiology and genetics. World Scientific, 2007.

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Bernd, Blasius, Kurths J. 1953-, and Stone Lewi, eds. Complex population dynamics: Nonlinear modeling in ecology, epidemiology and genetics. World Scientific, 2007.

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Bernd, Blasius, Kurths J. 1953-, and Stone Lewi, eds. Complex population dynamics: Nonlinear modeling in ecology, epidemiology and genetics. World Scientific, 2007.

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M, Svirezhev I͡U. Fundamentals of mathematical evolutionary genetics. Kluwer Academic Publishers, 1990.

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service), SpringerLink (Online, and École d'Été de Probabilités de Saint-Flour (39th : 2009), eds. Some Mathematical Models from Population Genetics: École d'Été de Probabilités de Saint-Flour XXXIX-2009. Springer-Verlag Berlin Heidelberg, 2011.

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V, Rădulescu, ed. Nonlinear PDEs: Mathematical models in biology, chemistry and population genetics. Springer-Verlag, 2012.

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1945-, Capasso V., Grosso E. 1922-, and Paveri-Fontana S. L. 1943-, eds. Mathematics in biology and medicine: Proceedings, Bari 1983. Springer-Verlag, 1985.

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1933-, Fried Bernard, and Toledo Rafael, eds. The biology of echinostomes: From the molecule to the community. Springer, 2009.

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Book chapters on the topic "Population genetics Mathematics"

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Britton, Nicholas Ferris. "Population Genetics and Evolution." In Springer Undergraduate Mathematics Series. Springer London, 2003. http://dx.doi.org/10.1007/978-1-4471-0049-2_4.

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Svirezhev, Yuri M., and Vladimir P. Passekov. "Diffusion Models of Population Genetics." In Mathematics and Its Applications. Springer Netherlands, 1990. http://dx.doi.org/10.1007/978-94-009-2589-2_10.

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Svirezhev, Yuri M., and Vladimir P. Passekov. "Basic Equations of Population Genetics." In Mathematics and Its Applications. Springer Netherlands, 1990. http://dx.doi.org/10.1007/978-94-009-2589-2_2.

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Tavaré, Simon. "Part I: Ancestral Inference in Population Genetics." In Lecture Notes in Mathematics. Springer Berlin Heidelberg, 2004. http://dx.doi.org/10.1007/978-3-540-39874-5_1.

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Jost, Jürgen. "Population Genetics." In Mathematical Methods in Biology and Neurobiology. Springer London, 2014. http://dx.doi.org/10.1007/978-1-4471-6353-4_6.

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Baur, Max P. "Population Genetics: Mathematical Problems." In Advances in Forensic Haemogenetics. Springer Berlin Heidelberg, 1988. http://dx.doi.org/10.1007/978-3-642-73330-7_109.

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Ewens, Warren J. "Historical Background." In Mathematical Population Genetics. Springer New York, 2004. http://dx.doi.org/10.1007/978-0-387-21822-9_1.

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Ewens, Warren J. "Looking Backward in Time: The Coalescent." In Mathematical Population Genetics. Springer New York, 2004. http://dx.doi.org/10.1007/978-0-387-21822-9_10.

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Ewens, Warren J. "Looking Backward: Testing the Neutral Theory." In Mathematical Population Genetics. Springer New York, 2004. http://dx.doi.org/10.1007/978-0-387-21822-9_11.

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Ewens, Warren J. "Looking Backward in Time: Population and Species Comparisons." In Mathematical Population Genetics. Springer New York, 2004. http://dx.doi.org/10.1007/978-0-387-21822-9_12.

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Conference papers on the topic "Population genetics Mathematics"

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Olevska, Yu B., V. I. Olevskyi, and O. V. Olevskyi. "Fuzzy recognition of proteins in population genetics electrophoresis experiments." In APPLICATION OF MATHEMATICS IN TECHNICAL AND NATURAL SCIENCES: 11th International Conference for Promoting the Application of Mathematics in Technical and Natural Sciences - AMiTaNS’19. AIP Publishing, 2019. http://dx.doi.org/10.1063/1.5130830.

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Olevska, Yu B., V. I. Olevskyi, N. M. Ausheva, and O. V. Olevskyi. "Fuzzy recognition of proteins in 2D electrophoresis in population genetics." In APPLICATION OF MATHEMATICS IN TECHNICAL AND NATURAL SCIENCES: 13th International Hybrid Conference for Promoting the Application of Mathematics in Technical and Natural Sciences - AMiTaNS’21. AIP Publishing, 2022. http://dx.doi.org/10.1063/5.0100766.

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Olevska, Yu B., V. I. Olevskyi, N. M. Ausheva, and O. V. Olevskyi. "Modified method of fuzzy recognition of proteins in electrophoresis in population genetics." In APPLICATION OF MATHEMATICS IN TECHNICAL AND NATURAL SCIENCES: 12th International On-line Conference for Promoting the Application of Mathematics in Technical and Natural Sciences - AMiTaNS’20. AIP Publishing, 2020. http://dx.doi.org/10.1063/5.0033556.

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Tsourkas, Philippos K., and Boris Rubinsky. "Laplace’s Equation, Genetic Algorithms, and Evolution." In ASME 2002 International Mechanical Engineering Congress and Exposition. ASMEDC, 2002. http://dx.doi.org/10.1115/imece2002-32658.

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With the advent of problems in genetics that are either too difficult or too dangerous to solve experimentally, it is important to have mathematical tools available so that these problems may be solved through modeling and computation. To this end we developed a mathematical experimentation procedure to simulate the evolution of a population of individuals. The procedure employs genetic algorithm methodology to study a ‘species’ that is comprised of solutions to the Laplace equation. The algorithm is applied to the study of a particularly significant and controversial problem: The release of g
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Garcia, Lucy, Augusto Salazar, Mauricio Garcia, Sayira Hernandez, and Cesar Gomez. "VIDEO GAME ANALYTICS AND DOWN SYNDROME." In eLSE 2018. ADL Romania, 2018. http://dx.doi.org/10.12753/2066-026x-18-036.

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Today there are many children with Down Syndrome (DS) who have difficulties in the teaching-learning process in general and in particular in mathematics. These difficulties have their primary origin in the intellectual disability that is manifested to a greater or lesser extent in people with DS (PDS) due to a genetic alteration characterized by an additional copy of chromosome 21. This genetic imbalance causes a decrease in the number of neurons and synaptic connections which in turn makes mental and motor processes slower for them than for other people. Notwithstanding the preceding, the pop
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Gong, Xue-jing, and Jian-wei Xie. "Migration strategy and mathematical analysis of sub-population size adaptation in parallel genetic algorithm." In Sixth International Symposium on Multispectral Image Processing and Pattern Recognition, edited by Jianguo Liu, Kunio Doi, Aaron Fenster, and S. C. Chan. SPIE, 2009. http://dx.doi.org/10.1117/12.831992.

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Weiqiane Miao and Yuming Lu. "Application of multi-population improved cultural genetic algorithm using fuzzy mathematics in synthesis of array radar antenna." In 2013 International Conference on Mechatronic Sciences, Electric Engineering and Computer (MEC). IEEE, 2013. http://dx.doi.org/10.1109/mec.2013.6885319.

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Manoj, Binigha, Murthykumar Karthikeyan, Revathi Duraisamy, Jayaseelan Vijayashree Priyadharsini, and Ganapathy Dhanraj. "Genetic association of Aurka gene polymorphism with susceptibility to chronic periodontitis – A case control study in South Indian population." In INTERNATIONAL CONFERENCE ON MODELLING STRATEGIES IN MATHEMATICS: ICMSM 2024. AIP Publishing, 2025. https://doi.org/10.1063/5.0275748.

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Sudharsan, Padmalochini, Karthikeyan Murthykumar, Dhanraj Ganapathy, Revathi Duraisamy, and Vijayshree Priyadharshini. "Genetic association of estrogen receptor 1 gene polymorphism with susceptibility to periodontitis - A case control study in South Indian population." In INTERNATIONAL CONFERENCE ON MODELLING STRATEGIES IN MATHEMATICS: ICMSM 2024. AIP Publishing, 2025. https://doi.org/10.1063/5.0275779.

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Venables, Anne, and Grace Tan. "A 'Hands on' Strategy for Teaching Genetic Algorithms to Undergraduates." In InSITE 2007: Informing Science + IT Education Conference. Informing Science Institute, 2007. http://dx.doi.org/10.28945/3132.

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Genetic algorithms (GAs) are a problem solving strategy that uses stochastic search. Since their introduction (Holland, 1975), GAs have proven to be particularly useful for solving problems that are ‘intractable’ using classical methods. The language of genetic algorithms (GAs) is heavily laced with biological metaphors from evolutionary literature, such as population, chromosome, crossover, cloning, mutation, genes and generations. For beginners studying genetic algorithms, there is quite an overhead in gaining comfort with these terms and an understanding of their parallel meanings in the un
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