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Topography maps of Titan based on the data in Lorenz et al. "A global topographic map of Titan" Icarus 225 (2013) 367–377.
The maps are based on small strips of Cassini radar observations that have been interpolated with splines; the real topography is of course more fractal. The elevations are fairly flat, with higher regions at the sub- and anti-saturnian points.
Mackay icosahedron generated in MATLAB and rendered in Sunflow.
Thanks to Dmitry , whos code I used to generate the 3d coordinates for sphere.
MATLAB code is here www.mathworks.de/matlabcentral/fileexchange/authors/90249.
Zoom of the Mandelbrot set around a point projected so that the distance to the point forms a logarithmic scale. Details on the left edge are ~10^15 times smaller than on the right edge.
The rightmost black blob in the pictures is the main "continent" of the set. Satelite sets of different sizes can be seen linked by fractal chains of varying complexity.
The colors are set using the distance estimator method.
تدریس خصوصی MATLAB
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Resembling a woven blanket, this image is the MATLAB-generated visualization of 16,384 different experiments (each represented by a row) with 84 separate parameters (each represented by a column).
Terms of Use: Our images are freely and publicly available for use with the credit line, "Courtesy of Pacific Northwest National Laboratory." Please use provided caption information for use in appropriate context.
The Mammals, displayed using a further development of my Voronoi treemap code (now with nicer borders and more robust calculations). Each polygon represents a mammalian species or group of species, distributed inside larger groupings.
Point set generated by inversions in a group of spheres located at the corners of a cube with side = 1.6.
www.librosyeditores.com/tiendalemoine/matematica/1526-fun...
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Las obra facilitara el uso de una poderosa herramienta, para operar y graficar funciones de variable real, y calcular la inversa y la compuesta de funciones, tales como las polinominales, exponenciales, logarítmica, trigonométricas y funciones por tramos.
La utilidad del Matlab radica en la gran rapidez para hacer cualquiera de los cálculos anteriores, y gráficas simultáneas que permiten una ágil visualización de los cambios que sufre una función ante una transformación. Es posible ver de inmediato el efecto de desplazamiento, alargamiento y reflexión.
El lector encontrará una descripción, paso a paso, del uso de las diferentes instrucciones en Matlab para calcular cualquiera de las operaciones básicas de funciones, algunas operaciones especiales, como la composición y la inversa, así como también una gran variedad de gráficos que mejoran los conocimientos respecto al dominio, al rango, la paridad y la periodicidad de una función.
HANSELMAN, Duane; LITTLEFIELD, Bruce. Matlab 5: versão do estudante: guia do usuário. [MATLAB: the student edition (Inglês)]. Tradução e revisão técnica de Alberto Vasquez Saa, Francisco Assis Neto e Maria Aparecida Ehrhardt. São Paulo: Makron Books, 1999. xxxvii, 412 p. Inclui índice; il. tab. graf.; 26cm. ISBN 8534610584.
Notas de conteúdo:
2. Recursos científicos
3. Recursos da janela de comandos
4. Arquivos M de comandos
5. Gerenciamento de arquivos
6. Operações com vetores e matrizes
7. Operações matriciais
8. Operações relacionais e lógicas
9. Texto
10. Tempo
11. Controle de fluxo
12. Arquivos M de funções
13. Análise de dados
14. Polinômios
15. Ajuste de curvas e interpolação
16. Análise numérica
17. Gráficos bidimensionais
18. Gráficos tridimensionais
19. Matrizes celulares e estruturas
20. Toolbox de matemática simbólica
21. Toolbox de sistemas de controle
22. Toolbox de processamento de sinais
23. Ajuda on-line
Palavras-chave:
MATLAB/Programa de computador; ANALISE NUMERICA/Processamento de dados.
CDU 519.6 / H249m / 1999
Yes, this is in fact a terrbile pun off of a programming language that has been used as the dog's name.
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En el texto MATLAB: aplicaciones a las matemáticas básicas, se abordarán una serie de problemas matemáticos utilizando el software MATLAB; así el estudiante mismo podrá estimar las bondades de esta poderosa herramienta y confrontarla con los métodos anuales.
El objetivo de este texto no es el de enseñar a programar en MATLAB, que es su aplicación fundamental, sino de mostrar sus alcances en problemas propios de las matemáticas básicas; para ello se ha seleccionado una serie de ejercicios de diferentes áreas de las matemáticas como el álgebra, la estadística y el cálculo.
Con la anterior consideración, el texto se presenta como un inicio al trabajo con MATLAB para ser empleado en cursos de apoyo e inducción; a su vez es una gran ayuda para que el estudiante cualifique su formación matemática básica y contribuir, de paso, a disminuir los niveles de pérdida y deserción de asignaturas
Here I color the Mandelbrot set based on the orbit of the points: each step adds red if it has negative real part, green if it has positive imaginary part and blue if it is outside the circle |z|=2/3. Each iteration contributes exponentially less, resulting in a color mixture.
It nicely fills in the "aura" close to the set.
Section through the Mandelbrot-Julia set, defined as the points (z,c) in C^2 where z_{n+1}=z_n^2+c does not diverge for z_0=z. This section corresponds to real c. The color denotes the magnitude of the smallest iterate.
Note the soft flat face, corresponding to the Julia set c=0.25 which suffers an implosion when c is increased, turning into rays of Fatou dust.
(a,b) parameter space for the Brookes reaction-diffusion system, shown in the classic xmorphia style by having different values in different parts of the domain.
Note how the stripes form a rather small region on the border to the boring homogeneous domain; the dimples are even harder to find.
"Mandelbrot set" for the map zn+1=Mi(zn)2, where Mi(z) are three Möbius transforms cyclically applied after each other. The transforms are -1/z, (-0.43-i)/((3-.1i)z - i), (wz-i)/(iz+.3+.1*i) where w is used as the control parameter varying across the images. z starts from zero, and the location after 300 iterations derermines the color (angle determines hue, magnitude value).
Building infrastructure outside the embankment area.
Matlab, Bangladesh.
Photo credit: Alex Fischer/REACH
If you use one of our photos, please credit it accordingly and let us know. You can reach us via Flickr or at reach@water.ox.ac.uk
"Mandelbrot set" of the map zn+1=M(zn) where M(z) = (exp(.3*i+.5)z + w)/(exp(i*3.3-.3)z + exp(.3*i)), a simple Möbius transformation. The color of the pixels denote where in the complex plane zero ends up.
The fact that the usual Mandelbrot set shows up is not too odd - the map does involve a translation and a squaring. But changing M to other Möbius transforms warp it to all sorts of other fractals.
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Source code of Matlab for a color-controlled robot . When you display a particular color to the webcam, the robot swings into action. To Buy click on www.roboshop.in/handmade-projects-w-tutorials/color-contr...
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Estas notas de clases presentan un acercamiento a la teoría y aplicación de técnicas de aproximación numérica. Aquí se encontraran fundamentos de análisis numérico, aplicación de métodos numéricos en la solución de problemas, y una programación en MATLAB de los métodos propuestos.
The movement of the "economic centre of gravity" across history.
The centre was calculated by taking the Maddison historical economy dataset and calculate the GDP-weighted average of the country locations (taken from the Nationmaster database). This point is located inside the Earth, so it was projected radially onto the surface and plotted.
See also www.aleph.se/andart/archives/2011/04/why_bayadaratskaya_b...
An experiment in coupled "reaction-diffusion systems" (actually, using a mexican hat convolution more akin to field models of neural activity in the cortex). There are two variables with sigmoidal transfer functions, and an adaptation variable that causes the pattern to shift.
Section through the Mandelbrot-Julia set, defined as the points (z,c) in C^2 where z_{n+1}=z_n^2+c does not diverge for z_0=z. This section corresponds to c=0.4*i+a real number. The color denotes the magnitude of the smallest iterate.
Swedish Ambassador to Bangladesh H E Charlotta Schlyter, Ms Carin Zetterlund, First Secretary/Deputy Head of Development Section and Ms Lena Nordström, Head of Staff MoFA visited icddr,b’s Matlab field site - one of the developing world’s richest, most comprehensive and longest-running data resources.
The guests visited icddr,b health and demographic data collection facilities, ongoing studies in the villages, the Matlab hospital, especially providing services for women and children and a mother care unit.
The guests also took a boat ride to Matlab, using the same route once taken by hundreds of thousands of cholera patients from remote areas to reach icddr,b’s floating hospital on a barge, which now remains parked at Matlab, bearing witness to the history of humanitarian efforts. Photos: Rabiul Hasan / icddr,b
A brick factory worker stands beside a hanging latrine above a river in rural Matlab, Bangladesh. The use of such latrines contaminates waterways used for bathing and collecting drinking water with diarrhoeal diseases.
Photo: Guy Collender
Date: 2011
Watch Dr Sirajul Islam, of ICDDR,B, talk about the problems of hanging latrines in SHARE's video on Bangladesh: www.youtube.com/user/SHAREResearch#p/a/u/0/thHRIyxj3jI