Telling Women's Stories: A Resource For College Mathematics Instructors,
2019
University of Toronto
Telling Women's Stories: A Resource For College Mathematics Instructors, Sarah Mayes-Tang
Journal of Humanistic Mathematics
Stereotypes about mathematicians that conflict with ``traditionally feminine" identities are widely held by people from middle-school-age onwards, and can influence their participation in mathematics and related fields. Simply being exposed to women in mathematics is not enough to change students' perceptions of mathematicians, and may even decrease girls' interest in mathematics. This paper proposes a storytelling strategy to help change students' perceptions of mathematicians. It includes several activities for intentionally incorporating women's stories into the post-secondary classroom and a list of resources for finding existing powerful stories. The diverse stories of women mathematicians, including details of their personal lives and …
Using Hidden Markov Modeling For Biogeographical Ancestry Analysis,
2019
Claremont Colleges
Using Hidden Markov Modeling For Biogeographical Ancestry Analysis, Melvin R. Currie
Journal of Humanistic Mathematics
This paper describes a methodology for analyzing X-chromosome data to establish biogeographical contributions to the author’s X chromosome. We present an exposition of how Hidden Markov Modeling (HMM) can be used as a black box for ancestry analysis and focus on a set of conditions that are not universal but fairly common. The first condition is that the ancestral populations are drawn from regions that have had very little or no contact with each other since prehistoric times. The second condition is that the number of possible ancestral populations is small. In this analysis, we assume that the ancestral populations …
Choose Your Own Adventure: An Analysis Of Interactive Gamebooks Using Graph Theory,
2019
Southwestern University
Choose Your Own Adventure: An Analysis Of Interactive Gamebooks Using Graph Theory, D'Andre Adams, Daniela Beckelhymer, Alison Marr
Journal of Humanistic Mathematics
"BEWARE and WARNING! This book is different from other books. You and YOU ALONE are in charge of what happens in this story." This is the captivating introduction to every book in the interactive novel series, Choose Your Own Adventure (CYOA). Our project uses the mathematical field of graph theory to analyze forty books from the CYOA book series for ages 9-12. We first began by drawing the digraphs of each book. Then we analyzed these digraphs by collecting structural data such as longest path length (i.e. longest story length) and number of vertices with outdegree zero (i.e. number …
Engaging Crisis: Immersive, Interdisciplinary Learning In Mathematics And Rhetoric,
2019
Bates College
Engaging Crisis: Immersive, Interdisciplinary Learning In Mathematics And Rhetoric, Meredith L. Greer, Stephanie Kelley-Romano
Journal of Humanistic Mathematics
This paper describes an interdisciplinary activity that crosses over between Mathematics and Rhetoric. The professors who created this activity both sought active-learning opportunities for their students, a sense of realism--even urgency--in what can otherwise be perceived as abstract material, and a meaningful liberal arts experience. Evidence of the power of this experience is seen in the media coverage, both from our college and from the Portland Press Herald newspaper. Both courses described in this paper are at the elective level, taken by majors or minors in their respective disciplines. Students have moderate to extensive backgrounds in their subject areas. However, …
Visual Teaching Of Geometry And The Origins Of 20th Century Abstract Art,
2019
DePaul University
Visual Teaching Of Geometry And The Origins Of 20th Century Abstract Art, Stephen Luecking
Journal of Humanistic Mathematics
As a group, the artists educated near the turn of the 19th and 20th centuries possessed greater mathematical knowledge than expected of artists today, especially regarding constructive skills in Euclidean geometry. Educational theory of the time stressed such skills for students in general, who needed these to enter the workplace of the time. Mathematics teaching then stressed the use of manipulatives, i.e., visual and interactive aids thought to better fix the student’s acquisition of mathematical skills. This visual training, especially in geometry, significantly affected the early development of abstraction in art. This paper presents examples of this visual …
Anschaulich: Visualization, Imagination, Mathematics,
2019
Claremont McKenna College
Anschaulich: Visualization, Imagination, Mathematics, Mark Huber, Gizem Karaali
Journal of Humanistic Mathematics
No abstract provided.
Front Matter,
2019
Claremont Colleges
Practical Modelling Of The Vanilla Option Volatility Smile,
2019
University of New Mexico - Main Campus
Practical Modelling Of The Vanilla Option Volatility Smile, Jacob E. Shanley
Mathematics & Statistics ETDs
Many discussions on how best to model the standard American Option derivative focus solely upon the volatility smile modelling itself from a mathematical perspective. This thesis instead closely examines both the practical and mathematical implications of processing market data, modelling the volatility smile, and making real-world trading decisions from the results. In particular, it contains an analysis of market data processing algorithms, new volatility smile models, multiple empirically-driven weighting schemes, Gauss-Newton and Levenberg-Marquardt optimization algorithms, and various trading strategies. The top performing combinations found were those that involved the Smile and Twist volatility smile models, Volatility Width Vega Multiplier weighting …
On Free-Type Rigid C*-Tensor Categories And Their Annular Representations.,
2019
Indian Statistical Institute
On Free-Type Rigid C*-Tensor Categories And Their Annular Representations., B. Madhav Reddy Dr.
Doctoral Theses
No abstract provided.
Direct Iterative Algorithm For Solving Optimal Control Problems Using B-Spline Polynomials,
2019
University of Technology, Baghdad, Iraq
Direct Iterative Algorithm For Solving Optimal Control Problems Using B-Spline Polynomials, Suha Shihab, Maha Delphi
Emirates Journal for Engineering Research
New technique for achieving an approximate solution to optimal control problems (OCPs) is considered in this paper. The algorithm is based upon B-spline polynomials (BSPs) approximation with state parameterization method. An important property concerning the B-spline functions is first presented then it is utilized to propose a modified restarted technique to reduce the number of unknown parameters with fast convergence. The method is applied through four illustrative examples and is compared with other results.
A Panorama On Superoscillations,
2019
Politecnico di Milano
A Panorama On Superoscillations, Fabrizio Colombo, Irene Sabadini, Daniele Carlo Struppa
Mathematics, Physics, and Computer Science Faculty Articles and Research
Purpose of this note is to give an overview on superoscillating sequences and some of their properties. We discuss their persistence in time under Schrödinger equation, we propose various classes of superoscillating functions and we also briefly mention how they can be used to approximate some generalized functions.
Sasaki-Einstein 7-Manifolds, Orlik Polynomials And Homology,
2019
Swarthmore College
Sasaki-Einstein 7-Manifolds, Orlik Polynomials And Homology, Ralph R. Gomez
Mathematics & Statistics Faculty Works
In this article, we give ten examples of 2-connected seven dimensional Sasaki-Einstein manifolds for which the third homology group is completely determined. Using the Boyer-Galicki construction of links over particular Kähler-Einstein orbifolds, we apply a valid case of Orlik’s conjecture to the links so that one is able to explicitly determine the entire third integral homology group. We give ten such new examples, all of which have the third Betti number satisfy 10 ≤ b₃ (Lf) ≤ 20 .
Merge Trees In Discrete Morse Theory,
2019
Ursinus College
Merge Trees In Discrete Morse Theory, Benjamin Johnson
Mathematics Summer Fellows
The field of topological data analysis seeks to use techniques in topology to study large data sets. The hope is that rather than single quantities that summarize the data, such as mean or standard deviation, information about the data can be learned by studying the overall ``shape” of the data. One way to summarize this data is through a merge tree. Merge trees can be thought of as keeping track of certain clusters of data and determining when they merge together. In this paper, we will study merge trees induced by a discrete Morse function on a tree. Under a …
Properties Of A Class Of Mean Dependent On A Parameter,
2019
The University of Texas Rio Grande Valley
Properties Of A Class Of Mean Dependent On A Parameter, Paul Bracken
School of Mathematical & Statistical Sciences Faculty Publications
Some properties of a new class of binary symmetric mean Mp(a,b) which depends on two positive numbers a and b, as well as a positive parameter p, are investigated. The logarithmic mean and arithmetic mean are two members of this class. It is shown that, for all values of the parameter p, the set of p-dependent means Mp(a,b) is bounded above by the mean M∞(a,b).
On Optimal Stopping And Impulse Control With Constraint,
2019
Wayne State University
On Optimal Stopping And Impulse Control With Constraint, J. L. Menaldi, M. Robin
Mathematics Faculty Research Publications
The optimal stopping and impulse control problems for a Markov-Feller process are considered when the controls are allowed only when a signal arrives. This is referred to as control problems with constraint. In [28, 29, 30], the HJB equation was solved and an optimal control (for the optimal stopping problem, the discounted impulse control problem and the ergodic impulse control problem, respectively) was obtained, under suitable conditions, including a setting on a compact metric state space. In this work, we extend most of the results to the situation where the state space of the Markov process is locally compact.
An Analysis Of The Work Of Passengers Trains On Twozone Sections And Their Alert Automation,
2019
The Tashkent institute of railway transport engineers,
An Analysis Of The Work Of Passengers Trains On Twozone Sections And Their Alert Automation, N. S. Tokhirov
Central Asian Problems of Modern Science and Education
Company "Uzbekistan railways" has made a great contribution to the safety of passenger traffic. It is expected that passenger trains will have a number of factors affecting the large passenger traffic in the coming days and will be in the future. That is why passenger trains require that the issuance of warnings from workers of the running facilities, electricity, signaling and communications, as well as station attendants at the station by dispatchers, be accurate and error free. This article describes the automation of issuing warnings for trains and trains at two zones
Development Of The Thickener Compositionwith Local Raw-Materials For Printing Blended Fabrics Cotton-Silk,
2019
Natural deceplines of Bukhara State University
Development Of The Thickener Compositionwith Local Raw-Materials For Printing Blended Fabrics Cotton-Silk, F. N. Qurbonova, G. A. Ixtiyarova, X. Haydarova, N. Savriyeva
Central Asian Problems of Modern Science and Education
In the following article the developed new thickener are studied based on hydrolyzed acrylic emulsion (HAE), uzchitan and carbaxymethyl starch for printing mixed fabrics cotton-silk. Investigated coloristic prop- erty printed fabrics
Method For Determining Hydraulic Resistance During,
2019
Urgench State University
Method For Determining Hydraulic Resistance During, K. Navruzov, Z. K. Shukurov, A. Sh. Begjanov
Central Asian Problems of Modern Science and Education
In the article, pulsating fluid flows in tubes with changing walls, which are of great importance in biological mechanics, in particular, in the flow of blood in the arterial vessel, are investigated. The solution of the problem obtained formulas for the distribution of pressure gradient, velocity and flow rate. Impedance method analyzed the increase in hydraulic resistance depending on the frequency of oscillation. It was found that with large values 2 of hydraulic resistance grow with growth 2 . For crowding out the same flow rates, for small and with large values of the vibrational number or frequency, …
Mathematical Models Of Multi-Coordinate Electromechatronic Systems Of Intellectual Robots,
2019
Tashkent state technical university named after Islom Karimov
Mathematical Models Of Multi-Coordinate Electromechatronic Systems Of Intellectual Robots, H. N. Nazarov, R. O. Temurbek
Central Asian Problems of Modern Science and Education
In the article mathematic description of mechatronic module in intelligent robots and robotic systems are observed. To display the structure of mechatronic modules, which consist of interrelated different electrical, magnetic and ELECTRONIC JOURNAL OF CENTRAL ASIAN PROBLEMS OF MODERN SCENCE AND EDUCATION. MARCH, 2019-I ISSN 2181-9750 81 mechatron components, mathematic models by the help of multiplication theory based on relations and visualising lines and points are designed. Analytical explanation of mechantronic modele in intelligent robots is provided
Development Of Linear Mathematical Models Of The Technological Process Of Crushing Seeds Crushing,
2019
Urgench branch of Tashkent university of information technologies named after Muhammad Al-Khwarizmi
Development Of Linear Mathematical Models Of The Technological Process Of Crushing Seeds Crushing, F. Yusupov, T. Y. Kim, B. B. Nurmetova, J. M. Xojibayev
Central Asian Problems of Modern Science and Education
The simplified statistical linear model of the object under study is developed on the basis of experimental and statistical studies of the technological process of crushing the cottonseed of an oil extraction plant using the experimental design method. The analysis of the homogeneity of the dispersion, the significance of the coefficients of the linear model and the adequacy of the resulting model
