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Готові списки джерел за темами / Mathematics Outlines

Добірка наукової літератури з теми "Mathematics Outlines"

Автор: Grafiati

Опубліковано: 4 червня 2021

Оновлено: 8 лютого 2022

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Статті в журналах з теми "Mathematics Outlines":

1

Painuli, C. P., and B. D. Indu. "Outlines of Morse potential." International Journal of Mathematical Education in Science and Technology 19, no. 1 (January 1988): 133–37. http://dx.doi.org/10.1080/0020739880190117.

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2

Switzer, J. Matt. "Hundred Chart Challenge." Teaching Children Mathematics 22, no. 2 (September 2015): 65–70. http://dx.doi.org/10.5951/teacchilmath.22.2.0065.

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NCTM's Principles to Actions: Ensuring Mathematical Success for All (2014) outlines eight teaching practices for effective teaching and learning of mathematics. One of them, Use and connect mathematical representations, involves engaging students in “making connections among mathematical representations to deepen understanding of mathematics concepts and procedures and as tools for problem solving” (p. 10).

3

Sherman, Lisa. "Angle detectives." Teaching Children Mathematics 24, no. 3 (November 2017): 154–57. http://dx.doi.org/10.5951/teacchilmath.24.3.0154.

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NCTM's Principles to Actions: Ensuring Mathematical Success for All outlines eight mathematics teaching practices for effective teaching and learning of mathematics (NCTM 2014, p. 10). The second practice, Implement tasks that promote reasoning and problem solving, involves effective teaching of mathematics that engages students in solving and discussing tasks that promote mathematical reasoning and problem solving and allow multiple entry points and varied solution strategies.

4

Rowlett, Peter. "Programming as a mathematical activity." MSOR Connections 18, no. 2 (July 9, 2020): 13–17. http://dx.doi.org/10.21100/msor.v18i2.1064.

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Programming in undergraduate mathematics is an opportunity to develop various mathematical skills. This paper outlines some topics covered in a second year, optional module ‘Programming with Mathematical Applications’ that develop mathematical thinking and involve mathematical activities, showing that practical programming can be taught to mathematicians as a mathematical skill.

5

Martin, Tami S., and William R. Speer. "Mathematics Teaching Today." Teaching Children Mathematics 15, no. 7 (March 2009): 400–403. http://dx.doi.org/10.5951/tcm.15.7.0400.

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Features, consistent messages, and new components of Mathematics Teaching Today: Improving Practice, Improving Student Learning (NCTM 2007), an updated edition of Professional Standards for Teaching Mathematics (NCTM 1991). The new book describes aspects of high-quality mathematics teaching; offers a model for observing, supervising, and improving mathematics teaching; and outlines guidelines for the education and continued professional growth of teachers.

6

Miller, Catherine M. "Kaleidoscopes and Mathematics: An Elegant Connection." Mathematics Teaching in the Middle School 22, no. 9 (May 2017): 559–66. http://dx.doi.org/10.5951/mathteacmiddscho.22.9.0559.

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Symmetry is used to create mathematically inspiring images in three-mirror kaleidoscopes. A project outlines how students can build their own kaleidoscopes having mathematically exact symmetric images.

7

Johnston, Ron, and Charles Pattie. "Ecological Inference and Entropy-Maximizing: An Alternative Estimation Procedure for Split-Ticket Voting." Political Analysis 8, no. 4 (July 18, 2000): 333–45. http://dx.doi.org/10.1093/oxfordjournals.pan.a029819.

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Publication of King's A Solution to the Ecological Inference Problem has rekindled interest in the estimation of unknown cell values in two- and three-dimensional matrices from knowledge of the marginal sums. This paper outlines an entropy-maximizing (EM) procedure which employs more constraints than King's EI method and produces mathematical rather than statistical procedures: the estimates are maximum-likelihood values. The mathematics are outlined, and the procedure's use illustrated with a study of ticket-splitting at New Zealand's first (1996) general election using the mixed-member proportional representation system, for which official figures provide a check against the EM estimate of the number voting a straight party ticket in each constituency.

8

Sarfraz, M., M. Riyazuddin, and M. H. Baig. "Capturing planar shapes by approximating their outlines." Journal of Computational and Applied Mathematics 189, no. 1-2 (May 2006): 494–512. http://dx.doi.org/10.1016/j.cam.2005.10.005.

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9

Biggs, Edith. "Mathematics for Gifted Children of Ages 7 to 12." Gifted Education International 5, no. 1 (September 1987): 45–47. http://dx.doi.org/10.1177/026142948700500111.

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This article outlines a series of mathematical tasks given to very able pupils aged 7–12 years. It also stresses the value of research and inservice education which is firmly teacher and classroom based.

10

McCarthy, Maeve L., and K. Renee Fister. "BioMaPS: A Roadmap for Success." CBE—Life Sciences Education 9, no. 3 (September 2010): 175–80. http://dx.doi.org/10.1187/cbe.10-03-0023.

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The manuscript outlines the impact that our National Science Foundation Interdisciplinary Training for Undergraduates in Biological and Mathematical Sciences program, BioMaPS, has had on the students and faculty at Murray State University. This interdisciplinary program teams mathematics and biology undergraduate students with mathematics and biology faculty and has produced research insights and curriculum developments at the intersection of these two disciplines. The goals, structure, achievements, and curriculum initiatives are described in relation to the effects they have had to enhance the study of biomathematics.

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Дисертації з теми "Mathematics Outlines":

1

Breetzke, Peter Roland. "Sequence in the mathematics syllabus : an investigation of the Senior Secondary Mathematics Syllabus (July 1984) of the Cape Education Department attempting to reconcile the demands of the strictly mathematical order and the developmental needs of pupils, modified by the mathematical potential of the electronic calculator : some teaching strategies resulting from new influences in the syllabus." Thesis, Rhodes University, 1988. http://hdl.handle.net/10962/d1001430.

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This study was motivated by the latest revision of the mathematics syllabuses of the Cape Education Department. The most important changes to content in the Senior Secondary Mathematics Syllabus (July 1984) are the introduction of calculus and linear programming, the substitution of a section on analytical geometry for vector algebra and the recall of the remainder and factor theorems. The way in which these changes were introduced left the task of integrating them into the teaching process in the hands of individual teachers. This is a task of extreme importance. If one's classroom practice is to simply plough one's way through the syllabus, one loses many opportunities to make the study of mathematics meaningful and worthwhile. Accepting the view of the spiral nature of the curriculum where one returns to concepts and procedures at increasing levels of sophistication, one needs to identify the position of topics in this spiral and to trace their conceptual foundations. Analytical geometry is in particular need of this treatment. Similarly there are many opportunities for preparing for the introduction of calculus. If the teaching of calculus is left until the last moments of the Standard 10 year without proper groundwork, the pupil will be left with little time to develop an understanding of the concepts involved. It is the advent of calculators which presents the greatest challenge to mathematics education. We ignore this challenge to the detriment of our teaching. Taken seriously calculators have the potential to exert a radical influence on the content of curricula and examinations. They bring into question the time we spend on teaching arithmetic algorithms and the priority given to algebraic manipulation. Numercial methods gain new prominence. Calculators can even breathe new life into the existing curriculum. Their computing power can be harnessed not only to carry out specific calculations but also to introduce new topics and for concept reinforcement. The purpose of this study has been to bring about a proper integration of the new sections into the existing syllabus and to give some instances of how the calculator can become an integral part of the teaching/learning process

2

Robson, Geoffrey. "Multiple outlier detection and cluster analysis of multivariate normal data." Thesis, Stellenbosch : Stellenbosch University, 2003. http://hdl.handle.net/10019.1/53508.

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Thesis (MscEng)--Stellenbosch University, 2003.
ENGLISH ABSTRACT: Outliers may be defined as observations that are sufficiently aberrant to arouse the suspicion of the analyst as to their origin. They could be the result of human error, in which case they should be corrected, but they may also be an interesting exception, and this would deserve further investigation. Identification of outliers typically consists of an informal inspection of a plot of the data, but this is unreliable for dimensions greater than two. A formal procedure for detecting outliers allows for consistency when classifying observations. It also enables one to automate the detection of outliers by using computers. The special case of univariate data is treated separately to introduce essential concepts, and also because it may well be of interest in its own right. We then consider techniques used for detecting multiple outliers in a multivariate normal sample, and go on to explain how these may be generalized to include cluster analysis. Multivariate outlier detection is based on the Minimum Covariance Determinant (MCD) subset, and is therefore treated in detail. Exact bivariate algorithms were refined and implemented, and the solutions were used to establish the performance of the commonly used heuristic, Fast–MCD.
AFRIKAANSE OPSOMMING: Uitskieters word gedefinieer as waarnemings wat tot s´o ’n mate afwyk van die verwagte gedrag dat die analis wantrouig is oor die oorsprong daarvan. Hierdie waarnemings mag die resultaat wees van menslike foute, in welke geval dit reggestel moet word. Dit mag egter ook ’n interressante verskynsel wees wat verdere ondersoek benodig. Die identifikasie van uitskieters word tipies informeel deur inspeksie vanaf ’n grafiese voorstelling van die data uitgevoer, maar hierdie benadering is onbetroubaar vir dimensies groter as twee. ’n Formele prosedure vir die bepaling van uitskieters sal meer konsekwente klassifisering van steekproefdata tot gevolg hˆe. Dit gee ook geleentheid vir effektiewe rekenaar implementering van die tegnieke. Aanvanklik word die spesiale geval van eenveranderlike data behandel om noodsaaklike begrippe bekend te stel, maar ook aangesien dit in eie reg ’n area van groot belang is. Verder word tegnieke vir die identifikasie van verskeie uitskieters in meerveranderlike, normaal verspreide data beskou. Daar word ook ondersoek hoe hierdie idees veralgemeen kan word om tros analise in te sluit. Die sogenaamde Minimum Covariance Determinant (MCD) subversameling is fundamenteel vir die identifikasie van meerveranderlike uitskieters, en word daarom in detail ondersoek. Deterministiese tweeveranderlike algoritmes is verfyn en ge¨ımplementeer, en gebruik om die effektiwiteit van die algemeen gebruikte heuristiese algoritme, Fast–MCD, te ondersoek.

3

Dunagan, John D. (John David) 1976. "A geometric theory of outliers and perturbation." Thesis, Massachusetts Institute of Technology, 2002. http://hdl.handle.net/1721.1/8396.

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Thesis (Ph. D.)--Massachusetts Institute of Technology, Dept. of Mathematics, 2002.
Includes bibliographical references (p. 91-94).
We develop a new understanding of outliers and the behavior of linear programs under perturbation. Outliers are ubiquitous in scientific theory and practice. We analyze a simple algorithm for removal of outliers from a high-dimensional data set and show the algorithm to be asymptotically good. We extend this result to distributions that we can access only by sampling, and also to the optimization version of the problem. Our results cover both the discrete and continuous cases. This is joint work with Santosh Vempala. The complexity of solving linear programs has interested researchers for half a century now. We show that an arbitrary linear program subject to a small random relative perturbation has good condition number with high probability, and hence is easy to solve. This is joint work with Avrim Blum, Daniel Spielman, and Shang-Hua Teng. This result forms part of the smoothed analysis project initiated by Spielman and Teng to better explain mathematically the observed performance of algorithms.
by John D. Dunagan.
Ph.D.

4

Kuo, Jonny. "Outlier detection for overnight index swaps." Thesis, Umeå universitet, Institutionen för matematik och matematisk statistik, 2020. http://urn.kb.se/resolve?urn=urn:nbn:se:umu:diva-173378.

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I examensarbetet undersöks metoder för anomalidetektion i tidsserie data. Givet data för overnight index swaps (SEK), så har syntetiskt data skapats med olika ty-per av anomalier. Jämförelse mellan algoritmerna Isolation forest och Local outlierfactor görs genom att mäta respektive prestande för de syntetiska dataseten mot Accuracy, Precision, Recall, F-measure och Matthews correlation coefficient.
In the thesis, methods for anomaly detection in time series data are investigated. Given data for overnight index swaps (SEK), synthetic data has been created with different types of anomalies. Comparison between the Isolation forest and Local outlier factor algorithms is done by measuring the respective performances for the synthetic data sets against Accuracy, Precision, Recall, F-Measure and Matthews correlation coefficient.

5

Schall, Robert. "Outliers and influence under arbitrary variance." Doctoral thesis, University of Cape Town, 1986. http://hdl.handle.net/11427/21913.

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Using a geometric approach to best linear unbiased estimation in the general linear model, the additional sum of squares principle, used to generate decompositions, can be generalized allowing for an efficient treatment of augmented linear models. The notion of the admissibility of a new variable is useful in augmenting models. Best linear unbiased estimation and tests of hypotheses can be performed through transformations and reparametrizations of the general linear model. The theory of outliers and influential observations can be generalized so as to be applicable for the general univariate linear model, where three types of outlier and influence may be distinguished. The adjusted models, adjusted parameter estimates, and test statistics corresponding to each type of outlier are obtained, and data adjustments can be effected. Relationships to missing data problems are exhibited. A unified approach to outliers in the general linear model is developed. The concept of recursive residuals admits generalization. The typification of outliers and influential observations in the general linear model can be extended to normal multivariate models. When the outliers in a multivariate regression model follow a nested pattern, maximum likelihood estimation of the parameters in the model adjusted for the different types of outlier can be performed in closed form, and the corresponding likelihood ratio test statistic is obtained in closed form. For an arbitrary outlier pattern, and for the problem of outliers in the generalized multivariate regression model, three versions of the EM-algorithm corresponding to three types of outlier are used to obtain maximum likelihood estimates iteratively. A fundamental principle is the comparison of observations with a choice of distribution appropriate to the presumed type of outlier present. Applications are not necessarily restricted to multivariate normality.

6

Sedman, Robin. "Online Outlier Detection in Financial Time Series." Thesis, KTH, Matematisk statistik, 2018. http://urn.kb.se/resolve?urn=urn:nbn:se:kth:diva-228069.

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In this Master’s thesis, diﬀerent models for outlier detection in ﬁnancial time series are examined. The ﬁnancial time series are price series such as index prices or asset prices. Outliers are, in this thesis, deﬁned as extreme and false points, but this deﬁnition is also investigated and revised. Two diﬀerent time series models are examined: an autoregressive (AR) and a generalized autoregressive conditional heteroskedastic (GARCH) time series model, as well as one test statistic method based on the GARCH model. Additionally, a nonparametric model is examined, which utilizes kernel density estimation in order to detect outliers. The models are evaluated by how well they detect outliers and how often they misclassify inliers as well as the run time of the models. It is found that all the models performs approximately equally good, on the data sets used in thesis and the simulations done, in terms of how well the methods ﬁnd outliers, apart from the test static method which performs worse than the others. Furthermore it is found that deﬁnition of an outlier is very crucial to how well a model detects the outliers. For the application of this thesis, the run time is an important aspect, and with this in mind an autoregressive model with a Student’s t-noise distribution is found to be the best one, both with respect to how well it detects outliers, misclassify inliers and run time of the model.
I detta examensarbete undersöks olika modeller för outlierdetektering i ﬁnansiella tidsserier. De ﬁnansiella tidsserierna är prisserier som indexpriser eller tillgångspriser. Outliers är i detta examensarbete deﬁnierade som extrema och falska punkter, men denna deﬁnition undersöks och revideras också. Två olika tidsseriemodeller undersöks: en autoregressiv (AR) och en generel au-toregressiv betingad heteroskedasticitet1 (GARCH) tidsseriemodell, samt en hypotesprövning2 baserad på GARCH-modellen. Dessutom undersöks en icke-parametrisk modell, vilken använder sig utav uppskattning av täthetsfunktionen med hjälp av kärnfunktioner3 för att detektera out-liers. Modellerna utvärderas utifrån hur väl de upptäcker outliers, hur ofta de kategoriserar icke-outliers som outliers samt modellens körtid. Det är konstaterat att alla modeller ungefär presterar lika bra, baserat på den data som används och de simuleringar som gjorts, i form av hur väl outliers är detekterade, förutom metoden baserad på hypotesprövning som fungerar sämre än de andra. Vidare är det uppenbart att deﬁnitionen av en outlier är väldigt avgörande för hur bra en modell detekterar outliers. För tillämpningen av detta examensarbete, så är körtid en viktig faktor, och med detta i åtanke är en autoregressiv modell med Students t-brusfördelning funnen att vara den bästa modellen, både med avseende på hur väl den detekterar outliers, felaktigt detekterar inliers som outliers och modellens körtid.

7

Dishman, Tamarah Crouse. "Identifying Outliers in a Random Effects Model For Longitudinal Data." UNF Digital Commons, 1989. http://digitalcommons.unf.edu/etd/191.

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Identifying non-tracking individuals in a population of longitudinal data has many applications as well as complications. The analysis of longitudinal data is a special study in itself. There are several accepted methods, of those we chose a two-stage random effects model coupled with the Estimation Maximization Algorithm (E-M Algorithm) . Our project consisted of first estimating population parameters using the previously mentioned methods. The Mahalanobis distance was then used to sequentially identify and eliminate non-trackers from the population. Computer simulations were run in order to measure the algorithm's effectiveness. Our results show that the average specificity for the repetitions for each simulation remained at the 99% level. The sensitivity was best when only a single non-tracker was present with a very different parameter a. The sensitivity of the program decreased when more than one tracker was present, indicating our method of identifying a non-tracker is not effective when the estimates of the population parameters are contaminated.

8

Liu, Jie. "Exploring Ways of Identifying Outliers in Spatial Point Patterns." Digital Commons @ East Tennessee State University, 2015. https://dc.etsu.edu/etd/2528.

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This work discusses alternative methods to detect outliers in spatial point patterns. Outliers are defined based on location only and also with respect to associated variables. Throughout the thesis we discuss five case studies, three of them come from experiments with spiders and bees, and the other two are data from earthquakes in a certain region. One of the main conclusions is that when detecting outliers from the point of view of location we need to take into consideration both the degree of clustering of the events and the context of the study. When detecting outliers from the point of view of an associated variable, outliers can be identified from a global or local perspective. For global outliers, one of the main questions addressed is whether the outliers tend to be clustered or randomly distributed in the region. All the work was done using the R programming language.

9

Katshunga, Dominique. "Identifying outliers and influential observations in general linear regression models." Thesis, University of Cape Town, 2004. http://hdl.handle.net/11427/6772.

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Includes bibliographical references (leaves 140-149).
Identifying outliers and/or influential observations is a fundamental step in any statistical analysis, since their presence is likely to lead to erroneous results. Numerous measures have been proposed for detecting outliers and assessing the influence of observations on least squares regression results. Since outliers can arise in different ways, the above mentioned measures are based on motivational arguments and they are designed to measure the influence of observations on different aspects of various regression results. In what follows, we investigate how one can combine different test statistics based on residuals and diagnostic plots to identify outliers and influential observations (both in the single and multiple case) in general linear regression models.

10

Giziaki, Ernestini. "Tests for uncharacteristic changes in time series data and the effects of outliers on forecasts." Thesis, London Metropolitan University, 1987. http://repository.londonmet.ac.uk/3115/.

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The thesis deals with some of the anomalies,that affect the predictive performance of univariate time series. This project should help to improve the forecasts made and should also assist those engaged in time series forecasting in real life situations in industry,government and elsewhere. The problem of testing a set of data for outliers is not new in statistics,methods having been proposed for the general linear model. However, there are very few papers on testing time series data for outliers. The greater part of the thesis is concerned with the effects of outliers on forecasts, statistical methods of detection of outliers and the comparison of these methods. Applications of these methods in real life situations are also considered. A subsidiary part of the thesis is concerned with the shift in the level of the series type of anomaly. Very few papers are published. These papers are reviewed. Tests of detection of this type of anomaly are proposed. The final section considers the contribution made, the findings of the work and areas for further research.

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Книги з теми "Mathematics Outlines":

1

Frank, Ayres. Schaum's outlines: College mathematics : algebra, discrete mathematics, precalculus, calculus. 4th ed. New York, [N.Y.]: McGraw Hill, 2010.

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2

Frank, Ayres. College mathematics: Based on Schaum's Theory and problems of college mathematics. Edited by Schmidt Philip A and Hademenos George J. New York: McGraw-Hill, 2001.

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3

University of the State of New York. Bureau of Mathematics Education. Mathematics 7 syllabus. Albany, N.Y: University of the State of New York, the State Education Dept., Bureau of Mathematics Education [and] Bureau of Curriculum Development, 1986.

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4

University of the State of New York. Bureau of Mathematics Education. Mathematics 7 syllabus. Albany, N.Y: University of the State of New York, State Education Dept., Bureau of Mathematics Education [and] Bureau of Curriculum Development, 1991.

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5

Weiner, Jack. Mathematics survival kit. [Place of publication not identified]: Thomson Nelson, 2005.

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6

Christopher, Thomas. Mathematics for Liberal Arts Majors. New York: McGraw-Hill, 2008.

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7

Education, Alberta Alberta. Mathematics 23-33. [Edmonton: Alberta Education], 1991.

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8

Education, Alberta Alberta. Senior high mathematics: Mathematics 10 & 13 : field test guide. [Edmonton: Alberta Education], 1988.

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9

University of the State of New York. Bureau of Mathematics Education. Mathematics 8 syllabus. Albany, N.Y: University of the State of New York, the State Education Dept., Bureau of Mathematics Education [and] Bureau of Curriculum Development, 1988.

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10

Safier, Fred. Schaum's easy outlines: Precalculus : based on Schaum's outline of precalculus. Edited by Kirkpatrick Kimberly S and Safier Fred. New York: McGraw-Hill, 2002.

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Частини книг з теми "Mathematics Outlines":

1

Vainikko, Gennadi. "Outlines of the discrete convergence theory." In Lecture Notes in Mathematics, 51–59. Berlin, Heidelberg: Springer Berlin Heidelberg, 1993. http://dx.doi.org/10.1007/bfb0088983.

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2

Folina, Janet. "Kant and Mathematics, an Outline." In Poincaré and the Philosophy of Mathematics, 1–29. London: Palgrave Macmillan UK, 1992. http://dx.doi.org/10.1007/978-1-349-22119-6_1.

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3

Yserentant, Harry. "Introduction and Outline." In Lecture Notes in Mathematics, 1–11. Berlin, Heidelberg: Springer Berlin Heidelberg, 2010. http://dx.doi.org/10.1007/978-3-642-12248-4_1.

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4

Hübner, Alexander. "Outline." In Lecture Notes in Economics and Mathematical Systems, 1–13. Berlin, Heidelberg: Springer Berlin Heidelberg, 2011. http://dx.doi.org/10.1007/978-3-642-22477-5_1.

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5

Hjorth, Greg. "An outline." In Mathematical Surveys and Monographs, 1–4. Providence, Rhode Island: American Mathematical Society, 1999. http://dx.doi.org/10.1090/surv/075/01.

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6

Taylor, Michael E. "Outline of Functional Analysis." In Texts in Applied Mathematics, 469–528. New York, NY: Springer New York, 1996. http://dx.doi.org/10.1007/978-1-4684-9320-7_7.

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7

Gorenstein, Daniel, Richard Lyons, and Ronald Solomon. "Outline of proof." In Mathematical Surveys and Monographs, 79–139. Providence, Rhode Island: American Mathematical Society, 1994. http://dx.doi.org/10.1090/surv/040.1/02.

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8

Gánti, Tibor. "Outlines of a Quantitative Biology." In Mathematical and Computational Chemistry, 453–508. Boston, MA: Springer US, 2003. http://dx.doi.org/10.1007/978-1-4419-8903-1_6.

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9

Rutishauser, Heinz. "An Outline of the Problems." In Lectures on Numerical Mathematics, 1–9. Boston, MA: Birkhäuser Boston, 1990. http://dx.doi.org/10.1007/978-1-4612-3468-5_1.

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10

Ooms, Marius. "Outliers." In Lecture Notes in Economics and Mathematical Systems, 139–203. Berlin, Heidelberg: Springer Berlin Heidelberg, 1994. http://dx.doi.org/10.1007/978-3-642-48792-7_5.

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Тези доповідей конференцій з теми "Mathematics Outlines":

1

Mamuda, Mamman. "A hybridized neural network models for data with outliers." In PROCEEDINGS OF THE INTERNATIONAL CONFERENCE ON MATHEMATICAL SCIENCES AND TECHNOLOGY 2018 (MATHTECH2018): Innovative Technologies for Mathematics & Mathematics for Technological Innovation. AIP Publishing, 2019. http://dx.doi.org/10.1063/1.5136455.

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2

Bukusheva, Aliya. "THE STUDY OF COMPUTATIONAL GEOMETRY IN THE SYSTEM MATHEMATICA." In 1st International Baltic Symposium on Science and Technology Education. Scientia Socialis Ltd., 2015. http://dx.doi.org/10.33225/balticste/2015.27.

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Анотація:

In the ninetieth Alfred Gray developed intensively applications of Mathematica to Euclidean differential geometry of curves and surfaces. He opened completely new approaches to differential geometry in teaching and research. Modern geometry uses the latest computer technology to solve their problems. Advanced mathematical computer programs allow using a fresh approach to the teaching of geometry in universities, taking into account the attraction of students to computers. The paper outlines some thoughts on teaching computational geometry. Key words: bachelor, computational geometry, wolfram mathematica.

3

Trell, Erik. "Mathemimetics III: Digital outline of elementary particles with substantiation of mutual electron/nucleon lattice." In NUMERICAL ANALYSIS AND APPLIED MATHEMATICS ICNAAM 2012: International Conference of Numerical Analysis and Applied Mathematics. AIP, 2012. http://dx.doi.org/10.1063/1.4756322.

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4

Jordanova, P. K., and M. P. Petkova. "Tails and probabilities for extreme outliers." In APPLICATION OF MATHEMATICS IN TECHNICAL AND NATURAL SCIENCES: 10th International Conference for Promoting the Application of Mathematics in Technical and Natural Sciences - AMiTaNS’18. Author(s), 2018. http://dx.doi.org/10.1063/1.5064880.

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5

Pati, Kafi Dano, Robiah Adnan, Bello Abdulkadir Rasheed, and Muhammad Alias MD. J. "Estimation parameters using Bisquare weighted robust ridge regression BRLTS estimator in the presence of multicollinearity and outliers." In ADVANCES IN INDUSTRIAL AND APPLIED MATHEMATICS: Proceedings of 23rd Malaysian National Symposium of Mathematical Sciences (SKSM23). Author(s), 2016. http://dx.doi.org/10.1063/1.4954633.

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6

Stehlík, Milan, Helmut Wald, Viktor Bielik, Juraj Petrovič, Theodore E. Simos, George Psihoyios, Ch Tsitouras, and Zacharias Anastassi. "Detecting Outliers in Marathon Data by Means of the Andrews Plot." In NUMERICAL ANALYSIS AND APPLIED MATHEMATICS ICNAAM 2011: International Conference on Numerical Analysis and Applied Mathematics. AIP, 2011. http://dx.doi.org/10.1063/1.3636753.

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7

PERRUCHET, CHRISTOPHE. "DETECTION OF OUTLIERS IN INTERLABORATORY TESTING." In Advanced Mathematical and Computational Tools in Metrology. WORLD SCIENTIFIC, 2006. http://dx.doi.org/10.1142/9789812774187_0008.

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8

Rasheed, Bello Abdulkadiri, Robiah Adnan, and Seyed Ehsan Saffari. "Robust PC with wild bootstrap estimation of linear model in the presence of outliers, multicollinearity and heteroscedasticity error variance." In ADVANCES IN INDUSTRIAL AND APPLIED MATHEMATICS: Proceedings of 23rd Malaysian National Symposium of Mathematical Sciences (SKSM23). Author(s), 2016. http://dx.doi.org/10.1063/1.4954632.

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9

Buchberger, Bruno. "Journal as Active Math-Agents: Outline of a Project with a Mathematics Publisher." In 2007 Ninth International Symposium on Symbolic and Numeric Algorithms for Scientific Computing. IEEE, 2007. http://dx.doi.org/10.1109/synasc.2007.90.

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10

Branco, F., T. A. Oliveira, A. Oliveira, C. E. Minder, Theodore E. Simos, George Psihoyios, Ch Tsitouras, and Zacharias Anastassi. "The Impact of Outliers on the Power of the Randomization Test for Two Independent Groups." In NUMERICAL ANALYSIS AND APPLIED MATHEMATICS ICNAAM 2011: International Conference on Numerical Analysis and Applied Mathematics. AIP, 2011. http://dx.doi.org/10.1063/1.3637923.

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