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Pork-chop plot showing total delta-v needed for moving from Mars to Jupiter.
It does not make use of Oberth maneuvers or multiple orbits around the sun, so these values are a bit higher than they would be in a real mission. Given that these are intended for use in a roleplaying game, that is probably enough precision anyway.
Pork-chop plot showing total delta-v needed for moving from Mars to Extropia.
It does not make use of Oberth maneuvers or multiple orbits around the sun, so these values are a bit higher than they would be in a real mission. Given that these are intended for use in a roleplaying game, that is probably enough precision anyway.
The Mammals, displayed using a further development of my Voronoi treemap code. Each polygon represents a mammalian species or group of species, distributed inside larger groupings. The color is mostly ornamental, but extinct species and groups are turned dull and gray.
Humans are (like in my previous version) in the light blue area to the upper right. Our species is the turquoise pentagon neighboring six extinct hominid species. We better make sure we don't lose our color either.
The probability density of human-level AI implied by the answers to the Winter Intelligence conference survey. Respondents gave not only their estimates for when it was 50% chance of human-level AI but also 10% and 90%. Fitting a skew Gaussian or a triangular probability distribution to each answer, the resulting average probability density gives an estimate of the collective belief. The blue field represents skew Gaussian fits, the red line triangular fits.
The probability density in the past is due to tails of the component distributions being forced to extend before the present by certain answers.
I wrote a Matlab program that does a coherent "time delay of arrival" analysis on the seismic channels (currently only considering the Z direction). In examining the waveforms from the Mt. St. Helens event, the analysis gives a bearing to the source of 261.9 degrees. Computing a bearing using the published epicenter of the earthquake and the LHO location using the WGS84 earth model gives an actual bearing to the published epicenter of 263.9 degrees, a difference of 2 degrees. At the distance of Mt. St. Helens this corresponds to a distance of 7.5 km.
The figure at left shows the waveforms from the six seismometers at this time, after filtering with an elliptical bandpass filter with a pass band of 1-5 Hz, and decimation by a factor of ten. I estimated (using Google Maps) the location of the seismic vault in "LIGO coordinates" to be X=1040m, y=186m. The figure at right shows the "power" (not well-defined) associated with various wavevectors; the X axis gives "east slowness" and the Y axis gives "north slowness," in seconds per kilometer. The circle indicates a velocity of 5000 m/s, the approximate velocity of P-waves in rock. The seismometer locations are superimposed for directional reference only.
I am interested in whether this could be used to image local seismic noise.
Enneper Surface generated in MATLAB and rendered in SunFlow.Formula taken from Paul Nylander website.
PPL Lab
?
Project: Wind Power Eliminator
Group: Thien Pham, Matheus Sousa
The Wind Power Eliminator is a complete stand-alone wind energy system, capable of emulating real-time behavior of wind generator. The Arduino based controller is implemented using MATLAB and Simulink software.
Zooms 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.
The Lyapounov exponent measures how rapidly orbits diverge from each other. Here I calculated it approximatively for the Mandelbrot set.
Points inside the set converge to various cycles and hence have negative exponents. The shining centers of the components are the points that are right on a cycle. Points outside diverge to infinity, and have positive exponents. The unseen but intricate border includes both chaotic and periodic points.
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.
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 = a real number, plotted from above to show that the "equator" z_0=0 is the Mandelbrot set. The color denotes the magnitude of the smallest iterate.
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 a random hyperplane through the origin. The color denotes the magnitude of the smallest iterate.
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.
The probability of having achieved human-level AI before a certain date implied by the answers to the Winter Intelligence conference survey. Respondents gave not only their estimates for when it was 50% chance of human-level AI but also 10% and 90%. Fitting a skew Gaussian probability distribution to each answer, the resulting average probability density gives an estimate of the collective belief.
The probability density in the past is due to tails of the component distributions being forced to extend before the present by certain answers.
This graph shows how often four phrases are searched for in Google.
While dating, the focus is on what the boyfriend wants. After marriage, it's about what the wife wants.
MATLAB source code:
h = bar([75 46; 41 51]);
set(h(1),'FaceColor','b')
set(h(2),'FaceColor',[1,0.4,0.6])
title('My Boyfriend/Girlfriend/Husband/Wife Wants');
set(gca,'XTickLabel',{'dating','married'},'YTick',[],'TickLength',[0 0]);
ylabel('search interest')
legend({'men','women'})
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...
Editores y distribuidores
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.
Yes, this is in fact a terrbile pun off of a programming language that has been used as the dog's name.
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
www.librosyeditores.com/tiendalemoine/matematica/1622-mat...
Editores y distribuidores
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.
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