Archives for the 'Mathematics' Category

Walking LEGO Machines

Published on 11 Dec 2007 at 1:15 am. 2 Comments.
Filed under Fun, Inventions, Lego, Mathematics, Robotics, Technology.

 
On Philippe ”Philo” Hurbain’s LEGO site, I found these amazing 8-legged LEGO walkers.  Here you can find a movie of this walker… its very impressive!
These are designed after Theo Jansen’s amazing walking kinetic sculptures that are powered by wind or solar power. Here are some great videos of these Theo Jansen’s kinetic sculptures.

Here are two […]

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Wolfram Web Resources

Published on 17 Oct 2007 at 1:12 am. No Comments.
Filed under Computation, Entrepreneurship, Exploration, Fun, Information, Intelligent Systems, Internet, Mathematics, Research.

I received this brochure from Wolfram Research (Mathematica) describing their web resources.  I am going to lose it… so I will remember it here in my Online Cortex.
wolfram.com
http://www.wolfram.com
Wolfram.com is updated regularly with information on new breakthroughs and developments for Mathematica users and technology enthusiasts around the world.  This site features demonstrations and videos on the […]

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MaxEnt 2007

Published on 14 Jul 2007 at 2:11 am. 2 Comments.
Filed under Mathematics, Philosophy, Physics, Probability, Research.

Friday marked the closing session of the 27th International Workshop on Bayesian and Maximum Entropy Methods in Science and Engineering (MaxEnt 2007).  I had the great pleasure to host this year’s meeting in the lovely city of Saratoga Springs.  We had approximately 100 participants from almost 25 countries spanning all six of the populated continents!
This year […]

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Lorentz Attractors, Topology and Modular Flows

Published on 11 May 2007 at 3:11 am. No Comments.
Filed under Mathematics.

While working with POV Ray, I stumbled on this great article from the American Mathematical Society’s Monthly Essays.  This article examines the Lorenz attractor and its periodic orbits.  It turns out that the periodic orbits form knots, but not just any knots.  They comprise only a very small subset of possible knots.
 
The article continues to […]

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Double-Angle Formulas

Published on 20 Mar 2007 at 12:40 am. 1 Comment.
Filed under Mathematics.

To display equations, I recently installed LaTeX into WordPress by using a Latexrender plugin and it works great!  I am going to try it out by blogging about a relatively easy way to derive the double angle formulas for the sine and cosine.  The double angle formulas relate  and    to  and  . 
Let’s be honest, […]

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