Boletín Nº 93
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Boletín del IMI
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Dear Colleagues,
It is a pleasure to introduce you to a new contributor to the Boletín del IMI, Jos Leys, the author of this issue’s Math Art section. Jos is a retired engineer, after a career in the chemical industry. Since many years, Jos likes to visualise math, as can be seen in multiple illustrations in books and magazines. His website contains hundreds of images (www.josleys.com). Together with Etienne Ghys (ENS Lyon) and Aurélien Alvarez (ENS Lyon) he produced the animations for two films on mathematics: Dimensions and Chaos. Jos Leys
Thank you Jos!
Ángel Manuel Ramos del Olmo |
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7 June 2023. Maria Jaenada, member of IMI and PhD student of Professors N. Balakrishnan and L. Pardo, has received the "Best Young Statistician Award", from the Greek Statistical Society, during the thirty-fifth congress of the said society for the paper "Step-stress test experiments under interval censored data with lognormal lifetime distribution" held at the West Atica University of Athens from May 25 to 28 of this month of May.
Congratulations Maria! María Jaenada Malagón
6 de junio de 2023. Unidad de Cultura Científica - UCM. Estudian modelos más eficaces para controlar el calentamiento de las baterías de litio. El trabajo ha sido desarrollado por el Grupo MOMAT, fruto de una colaboración entre el Instituto de Matemática Interdisciplinar (IMI) de la Universidad Complutense de Madrid y el Centro de Investigación en Matemáticas (CIMAT) mexicano. Sus autores son Marcos Capistrán (CIMAT), Juan Antonio Infante (IMI) y Ángel Manuel Ramos (IMI).
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3) Activities from June 8 to 16, 2023
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Título: Reglas de Leibniz fraccionarias en espacios de funciones quasi-Banach
Conferenciante: Virginia Naibo (Kansas State University)
Fecha: 8 de junio de 2023
Hora: 13:00h
Lugar: Aula 209 (Seminario Alberto Dou), Facultad de CC Matemáticas, UCM
Organizado por: Instituto de Matemática Interdisciplinar (IMI) y Departamento de Análisis Matemático y Matemática Aplicada
Workshop on Nonlinear Partial Differential Equations and Dynamical Systems
Speakers: L. Boccardo (Roma), F. Zanolin (Udine), D. Papini (Udine), S. Cano-Casanova (Madrid), A. Tellini (Madrid), L. Maire (Madrid), P. Pucci (Perugia), E. Muñoz-Hernández (Madrid), M. Garrione (Milano), E. Sovrano (Reggio Emilia), A. Boscaggin (Torino), G. Feltrin (Udine), S. Fernández-Rincón (Madrid), J. C. Sampedro (Bilbao), P. Cubillos (Madrid).
Dates: June 12-14, 2023
Hour: 13:00h
Place: 12/6 Aula Miguel de Guzmán, 13/6 Aula Miguel de Guzmán and Sala de Grados (Room 250 C), 14/6 Seminario Alberto Dou (Room 209), Facultad CC Matemáticas, Universidad Complutense de Madrid
Organized by: J. López-Gómez, E. Muñoz-Hernández, Instituto de Matemática Interdisciplinar (IMI), Grupo UCM-GR17 970846 and PID2021-123343NB-100.
Título: Analítica avanzada para el análisis y la gestión de incendios forestales
Conferenciante: Jaime Carrasco (Universidad de Chile)
Fecha: 12 de junio de 2023
Hora: 16:00h
Lugar: Seminario Sixto Ríos (Aula 215), Facultad CC Matemáticas, UCM
Organizado por: Instituto de Matemática Interdisciplinar (IMI) y Departamento de Estadística e Investigación Operativa UCM
Speakers: M. Alberich, P. Almirón, Pi. Cassou-Noguès, E. Elduque, J. Fernández de Bobadilla, V. Florens, B. Guerville-Ballé, S. Gusein-Zade, E. Hironaka, M. Izquierdo, L. Lang, J. Martín, L. Maxim, A. Némethi, P. Popescu-Pampu, P. Portilla, N. Salter, J.A. Seade, H-o Tokunaga, J. Wahl, M. Yoshinaga
Dates: June 12-16, 2023
Place: Jaca, Spain
Organized by: National Science Foundation, Linköpings Universitet, Instituto Universitario de Matemáticas y Aplicaciones, Universidad Complutense de Madrid, Universidad de Zaragoza, Japanese Society for the Promotion of Science y el Instituto de Matemática Interdisciplinar (IMI)
Plenary Speakers: C. Beltrán (Universidad de Cantabria, Spain), E. C. Carson (Charles University, Czech Republic), S. Güttel (University of Manchester, England), N. J. Higham (University of Manchester, England), E. Jarlebring (KTH Stockholm, Sweeden), S. Nasserasr (Rochester Institute of Technology, USA), V. Noferini (Aalto University, Finland), R. Quinlan (University of Galway, Ireland), M. Tait (Villanova University, USA) C. Vinzant (University of Washington, USA)
Dates: June 12-16, 2023
Place: Escuela Técnica Superior de Ingenieros de Montes, Forestales y del Medio Natural, Universidad Politécnica de Madrid
Organized by: International Linear Algebra Society, Instituto de Matemática Interdisciplinar (IMI), Escuela Técnica Superior de Ingenieros de Montes, Forestales y del Medio Natural, Universidad Politécnica de Madrid, Universidad de Alcalá, Universidad Complutense de Madrid, Saint Louis University Madrid, UNED, Universidad Carlos III de Madrid, Sociedad Española de Matemática Aplicada, Society for Industrial and Applied Mathematics, Taylor & Francis Group, Elsevier, Madrid Convention Bureau, Comunidad de Madrid
Title: Predation
PhD Candidate: Eduardo Muñoz Hernández (Universidad Complutense de Madrid)
Supervisors: Julián López Gómez and Fabio Zanolin
Program: Investigación Matemática
Day: June 13, 2023
Hour: 11:30h
Place: Room 250C (Sala de Grados), Facultad de CC Matemáticas, UCM
Título: Aplicaciones de la Investigación de Operaciones de alto impacto
Conferenciante: Andrés Weintraub (Universidad de Chile)
Fecha: 14 de junio de 2023
Hora: 13:00h
Lugar: Seminario Sixto Ríos (Aula 215), Facultad CC Matemáticas, UCM
Organizado por: Instituto de Matemática Interdisciplinar (IMI) y Departamento de Estadística e Investigación Operativa UCM
Title: An Operator-Valued Version of V.P. Potapov's Matrix-valued Factorization Result
Speaker: Raúl Curto (University of Iowa)
Day: June 15, 2023
Hour: 13:00h
Place: Room 209 (Seminario Alberto Dou), Facultad de CC Matemáticas, UCM
Organized by: Instituto de Matemática Interdisciplinar (IMI) and Departamento de Análisis Matemático y Matemática Aplicada
Title: An introduction to a mathematical analysis of stability for suspension
Speaker: Maurizio Garrione (Dipartimento di Matematica, Politecnico di Milano)
Days: June 15-16 and 19-20, 2023
Hour: 10:30h - 13:00h
Place: Room 222, Facultad de CC Matemáticas, UCM
Organized by: Julián López Gómez, PID2021-123343NB-I00, GRUPO UCM-GR17-970846 and Instituto de Matemática Interdisciplinar (IMI)
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J. J. Benito, A. García, M. Negreanu, F. Ureña, A. M. Vargas. Two finite difference methods for solving the Zakharov–Kuznetsov-Modified Equal-Width equation. Engineering Analysis with Boundary Elements. 2023, 153, 213-225. https://doi.org/10.1016/j.enganabound.2023.05.003
J. I. Díaz, J. Giacomoni. Monotone continuous dependence of solutions of singular quenching parabolic problems. Rendiconti del Circolo Matemático di Palermo Series 2, 2022, 72, 2593–2602. https://doi.org/10.1007/s12215-022-00814-y
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Título: Lubricación con cavitación: resultados de unicidad de soluciones por Sixto Álvarez
Conferenciante: Ildefonso Díaz (UCM)
Día: 29 de junio, 2023
Hora: 13:00h
Lugar: Aula 209 (Seminario Alberto Dou), Facultad de CC Matemáticas, UCM
Organizado por: Instituto de Matemática Interdisciplinar (IMI) y Departamento de Análisis Matemático y Matemática Aplicada
Título: Aplicación de modelos de toma de decisiones y simulación en el ámbito de la Ecología Agraria
Conferenciante: Antonio Alberto Rodríguez Sousa (Universidad Complutense de Madrid)
Fecha: 5 de julio de 2023
Hora: 13:00h
Lugar: Seminario Sixto Ríos (Aula 215), Facultad CC Matemáticas, UCM
Organizado por: Instituto de Matemática Interdisciplinar (IMI) y Departamento de Estadística e Investigación Operativa UCM
Celebrating Enrique Arrondo's 60th birthday
Speakers: Alessandra Bernardi (Trento), Marina Bertolini (Milano), Chaira Brambilla (Marche), Ciro Ciliberto (Roma), Laura Costa (Barcelona), Daniele Faenzi (Bourgogne), Lucia Fania (L'Aquila), Antonio Lanteri (Milano), Emilia Mezzetti (Trieste), Rosa María Miró-Roig (EMS), Distinguished Speaker (Barcelona), Giorgio Ottaviani (Firenze), Edoardo Sernesi (Roma Tre), Ignacio Sols (Madrid), Cristina Turrini (Milano), Jean Vallès (Pau), Alessandro Vera (Roma Tre)
Days: July 10th - 13th, 2023
Place: Alcalá de Henares (Madrid)
Organized by: Universidad de Alcalá, Foudation Compositio Mathematica, European Mathematical Society and Instituto de Matemática Interdisciplinar (IMI)
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Guillermo Bautista. Function Arts and Its Potential as a Teaching Tool
Boletín del IMI, Nº 93 (8 junio 2023), Sección "1+400. Divulgación con 1 imagen y 400 palabras."
https://doi.org/10.57037/b-imi.00093.1mas400 ________________________________________________________________
En esta sección se publican artículos cortos de divulgación, con una imagen y un máximo de 400 palabras (sin tener en cuenta en estas restricciones los datos de los autores). Las personas que quieran publicar un artículo pueden enviarlo a secreadm.imi@mat.ucm.es
La colección de todos los artículos publicados en esta sección se puede ver en www.ucm.es/imi/1mas400
Guillermo Bautista, Jr. is a Mathematics Education Specialist at the University of the Philippines National Institute for Science and Mathematics Education Development. He is currently taking Ph.D. in STEAM Didactics at the Johannes Kepler University in Linz, Austria focusing on the integration of mathematics, technology, and arts.
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Function Arts and Its Potential as a Teaching Tool
Guillermo Bautista, Jr.
University of the Philippines National Institute for Science and Mathematics Education Development (UP NISMED) Diliman, Quezon City, Philippines
GeoGebra is recognized as one of the most popular software tools for teaching and learning mathematics. One of its key advantages lies in its compatibility with various operating systems and hardware platforms. Furthermore, it features a two-way register of representations. This means that users can construct geometric objects, and the corresponding algebraic representation are automatically generated, and vice versa. For instance, typing equations for functions automatically generates the respective graphs, while drawing circles generate their equations. In both cases, modifications made to either the algebraic or geometric representation are seamlessly synchronized with the other. I used GeoGebra while implementing the Function Arts Project as part of my doctoral studies. This project entails students creating function arts, which refers to artwork that incorporates graphs of mathematical functions. Two examples are showcased below: the first represents pure function arts, employing exclusively graphs of mathematical functions, while the second showcases hybrid function arts, combining graphs of mathematical functions with other mathematical objects like conics and line segments. The preliminary findings in my project have revealed that function arts offer valuable opportunities for students to demonstrate their comprehension of functions, their properties, as well as their creative thinking. For example, in the Spiderman artwork, the student utilized the general equation of the function f(x) = ax2 + bx + c and ingeniously varied the signs of b to create symmetric curves. Additionally, she effectively utilized the function's domain to accurately glue the graphs together. She also showcased an understanding of symmetry by skillfully defining the precise domains (-b, -a) and (a, b) for all the symmetric curves. On the other hand, the student behind the Minion artwork creatively combined functions, conics, line segments, and images to craft her artwork.
Function arts also provide opportunities for teachers to assess students' understanding of functions, domains, range, symmetry, and other mathematical concepts. Presently, I have collected hundreds of artworks and have developed a rubric for assessing them. This rubric is being tested by some mathematics teachers.
The Function Arts project is still in its early stages but holds significant potential to enhance students' understanding of functions. By incorporating art, it aims to create an enjoyable learning experience that does not neglect the importance of mathematics. It has the potential to be a medium for students to appreciate and engage with both art and math simultaneously. |
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8) Math Puzzle
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Solution sent by Rik Tangerman to last week's Math Puzzle, published on issue No. 92 of the Boletín del IMI:
Three squares. The top line segment is variable in length. What’s the minimal blue fraction?
The minimal blue fraction is 1/5.
For convenience we set the square side to 1. From similarity of the two triangles formed by the oblique lines, we can calculate the lower square area and multiply by x2 to obtain the upper area. Also, we see that the sum of the heights must be 1, so h=1/(1+x).
From similarity of triangles ABO and HGO, we deduce h/1=(h-a)/a, leading to a=h/(1+h)=1/(2+x). So for the blue fraction we get A(x)=(1+x2)/(2+x)2.
To find the minimum of this function we take the derivative and set it to 0. This gives us x=1/2, corresponding to a fraction of 1/5, and this is indeed a minimum on the range [0,1].
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9) Math Art
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Math Art sent by Jos Leys
3D Kleinian group limit set |
| Instituto de Matemática Interdisciplinar Universidad Complutense de Madrid Plaza de Ciencias 3, 28040, Madrid https://www.ucm.es/imi Haga click aquí para recibir el Boletín del IMI / Click here to receive the Boletín del IMI Para dejar de recibir el Boletín del IMI escriba a secreadm.imi@mat.ucm.es / To unsubscribe send an email to secreadm.imi@mat.ucm.es Los anteriores boletines se pueden encontrar en / Previous bulletins can be found at https://www.ucm.es/imi/boletin-del-imi |