Thursday, November 10, 2011
Saturday, August 6, 2011
Friday, June 17, 2011
If only I could find the right prime for each opponent hahahaha, or the right place to start in sqrt(2).
Of course genius Tom is smarter:
Sunday, May 22, 2011
Saturday, May 21, 2011
Today he must be going crazy, he said I can celebrate my birthday every week! if I do the same for 2, it took me all day and I am at 1.41421356237309504880168872420969807856967187537694807317667973799073247846210703885038753432764157273501384623091229702492483605585073721264412149709993583141322266592750559275579995050115278206057147010955997160597027453459686201472851741864088919860955232923048430871432145083976 but I must be really really close because 76 is the year my mom was born"
Sunday, May 15, 2011
Friday, April 29, 2011
Saturday, March 5, 2011
- Many seem to agree that the epsilon-delta definitions are annoying, This can be soon both at Karl's calculus page or on mathcs.org
Does that delta-epsilon method that we have been through a bunch of times now seem like a pain in the butt? Mathematicians are, by their nature, a lazy lot. If they can get away with doing some pain-in-the-butt operation just once and thereby come up with some easy and useful rule, then that's what they'll do. And once they know the rule to be true, they'll use it every time instead of the pain-in-the-butt method. Not only does the rule make life easier, but without such rules, mathematics would be so thick with undergrowth as to make it virtually impossible to understand."
"This, like many epsilon-delta definitions and arguments, is not easy to understand."
- The fact that infinitesimal calculus was heavily supported by Newton and Leibniz, tells me again, that the classical definition of limits simply does feel annoying and people tried to find 'better' ways.
- At the same time, based on Bishop, they are common sense, so there must be a way to understand why they are the best way to describe what they do describe.
- They are a relationship between domain and range
- The relationship is TOTALLY dependent on the function, the algorithm that maps domain to range
Those are 2 uncomfortable categories, they do not allow for laziness, impatience, or lack of intuition and very solid understanding. It is a game...
Not only does the rule make life easier, but without such rules, mathematics would be so thick with undergrowth as to make it virtually impossible to understand.""
Saturday, February 26, 2011
Monday, February 21, 2011
The first thing I added was not animation related, my UI library did not support multi-sampling when rendering 3D to textures, now it does, and all my skeletons look happier.
On the animation side, I added some skeleton semantic detection code. Before, the skeletons were only analyzed for branches, chains of bones with one child only. Now it also find symmetries between branches, in the beginning of the video you can see how it detects that the left and right limbs are symmetrical. The next step is to give it some human skeleton knowledge, so that it automatically figures out what is a head, a foot, a leg, etc... The point of this is that it would enable running the code on large mocap databases without the need for human annotation for purposes like machine learning.
The other new feature which is still very much work in progress is footplant detection. While seemingly innocent, it can be quite tricky to get this right. Mocap is noisy and I also want to support the more general case of 'support contact', where for an animation of an athlete hanging on a bar per example, the contact points with the bar would be detected, or for an unrealistic animation of a martial arts kick after taking a few steps on a vertical wall, the steps on the wall would be registered as well. This needs a different technique than simply foot height. I am researching this slowly when I find myself needing a break from Mathematics and want to do something instantly gratifying.
In the video, green spheres are generated when there is a local minimum in joint height, blue ones when there is a local minimum in joint velocity and white for both.
Saturday, February 19, 2011
Friday, February 18, 2011
I have lately been bumping calculus proofs where this property of limits would be really useful, but I am not sure it is true even though it seems trivially true. I have just formulated it but not tried to prove it yet, I will try using the formal definition of limits. Comments welcome.
Thursday, February 17, 2011
I have found courage to be an essential component across many proofs and bold inventions in mathematics.
I am not sure how good it is, it feels pretty convincing, but there are 2 spots where it needs more detail, and I suspect that for these spots, there is an inescapable need for analysis (luckily we will be tackling that in the foreseeable future).
Tuesday, February 15, 2011
Sunday, February 13, 2011
Thursday, February 10, 2011
Friday, February 4, 2011
Thursday, February 3, 2011
Sunday, January 30, 2011
Thursday, January 27, 2011
Thursday, January 20, 2011
The plagiarize series - Jan C. Willems - In Control, Almost from the Beginning Until the Day After Tomorrow
"The work involved in preparing publications comes for a large part at the expense of time to think. In science, more writing goes together with less reading. The sheer number of publications makes it also very difficult to get acquainted with, and evaluate a new idea.I miss the emphasis on breadth and depth, on quality rather than quantity, on synthesis of ideas, on debate and scrutiny rather than passive attendance of presentations, and on reflection rather than activity.Sure, euphoria bears creativity, and skepticism paralyzes. However, questioning and criticism is an essential part of science. I have seen too many high profile areas collapse under their own weight: cybernetics, world dynamics, general systems theory, catastrophe theory, and I wonder what the future has in store for cellular automata, fractals, neural networks, complexity theory, and sync."