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Part of the "seahorse valley" of the Mandelbrot set, colored based on orbit.

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.

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.

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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.

    

Complex Surface of atanh(z) . Surface and texture image generated in MATLAB and rendered in SunFlow

Photo used with permission. Generated by software I developed to convert photos into images composed of Lego bricks

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

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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.

Mandelbrot set near c=-1.747+0.005i.

Yes, this is in fact a terrbile pun off of a programming language that has been used as the dog's name.

Mandelbrot set near c=0.2865+0.0145i.

ASSUMPÇÃO FILHO, Milton Mira de. MATLAB: versão do estudante: guia do usuário: versão 4. [The student editionof MATLAB version 4 (Inglês)]. Tradução de Hércules Pereira Neves, Revisão técnica de Antonio Pertence Junior. São Paulo: Makron Books, 1997. xvi, 305 p. Inclui índice; il. tab. quad.; 24cm. ISBN 8534607001.

 

Resumo:

Este livro apresenta um tutorial completo para MATLAB, além de documentação para duas toolboxes especiais incluídas na vesão do estudante do MATLAB: a toolbox de sinais e sistemas, uma coleção de funções de processamento de sinais e controle e a toolbox de matemática simbólica, que expande o MATLAB para que possa trabalhar com matemática simbólica.

 

Notas de conteúdo:

1. Para estudante

2. MATLAB para Windows da Microsoft

3. O MATLAB para computadores Macintosh

4. Migrando do MATLAB 3.5 para o MATLAB 4

5. Tutorial do MATLAB

6. Tutorial da Toolbox de matemática simbólica

7. Tutorial da Toolbox de sinais e sistemas

 

Palavras-chave:

MATLAB; CALCULO NUMERICO/Programas de computador.

 

CDU 519.6 / A851m / 1997

Mandebrot set of z^3+c near c=0.522000+0.433i.

Spherical projection of dodecadodecahedron.This shape looks similar to UEFA champions league logo.

A map close to a Misiurewicz point.

(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.

Zoom into the z^3+c Mandelbrot set.

MATLAB logo 3D contour.

 

Generated in MATLAB and rendered in SunFlow.

Zoom into the z^3+c Mandelbrot set.

"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).

Part of the Mandelbrot set of z^3+c, around c=0.535+0.105i.

Minimal surface defined by f=1, g=sum_p z^p, where p is a prime.

Mondrian painting mapped around the Mandelbrot set.

Product Code: RS-3028

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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...

Contour plot of 2d perlin noise generated in MATLAB and rendered in SunFlow.

Gustav Klucis' classic socialist fractal poster mapped around the Mandelbrot 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.

 

Building infrastructure outside the embankment area.

Matlab, Bangladesh.

 

Photo credit: Alex Fischer/REACH

 

www.reachwater.org.uk

 

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

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.

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

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 z_0=0.4*i+a real number. The color denotes the magnitude of the smallest iterate.

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