There is a way to frame category theory such that it's all just arrows -- by associating the identity arrow (which all objects have by definition) with the object itself. In a sense, the object is syntactic sugar.
I understand the sentiment that the Trump administration is draconian, especially for people traveling from abroad considering the new border policy. But, pardon me, how is that executive order about sex a "threat"? Listed as the top issue undermines the credibility of this petition I think.
I may be old school but to me calling your own work beautiful comes across as pompous. Or "beautiful" is somehow a style now which irritates me as well. Sorry. They do look nice though.
This is true but I think it's iterative, cyclic. It applies to any art and craft, really. You alternate between perceiving and projecting, receiving and creating.
Honest question, why is the study of microplastics and its causes a recent thing? Are better instruments involved somehow? Plastics with their special properties have always been known to be "unnatural", even used as a synonym for that word, so one would think we would have kept an eye on them from the start.
Yes, I had that one in mind, though I'm always a bit skeptic about the cinematics of BBC productions. Sprint or not, the point I should have made clearer is precisely that walking is compatible with the endurance method. Personally I don't believe we evolved to run much. Pretty much anyone even in our sedentary society can walk very long distances; the body seems much more strongly adapted to that type of locomotion.
There are some accounts of still existing tribes in southern Africa doing this. As the article also suggests, the sprints, as far as I can tell, are intermittent. The hunters occasionally slow down when they need to pay attention to the tracks, and they run when they are certain of the path, not necessarily to catch up with the animal but to keep pushing it when it has taken shelter resting. This process is repeated until the game is just too exhausted to move and becomes an easy prey. They're not running marathons.
I don't know, it's a mirror, right? It's up to us to change really. Besides, failures like the one you point out make subtle stereotypes and biases more conspicuous, which could be a good thing.
I've heard this, and I would have been inclined to believe it. But then I watched the documentary Somm about the journey of a couple of friends reaching for the highest rankings of sommeliers. They could identify grapes, regions and year with striking accuracy. I just don't see how you could do that and then not be able to tell white and red wine apart.
Yes, I agree. But I talked about an idea development and said variation, not necessarily addressing the same thing. The headline would be algorithmically random sequence.
Thanks, I had to dig. I read about it in [1]. Mises was concerned about the formalization of probability theory. It seems the idea appears at least as early as in his 1919 paper [2].
[1] An Introduction to Kolmogorov Complexity and Its Applications, M. Li & P. Vitnányi
[2] Grundlagen der Wahrscheinlichkeitsrechnung, R. von Mises
Not sure what kinds of selection pressures there has been for shorter DNA strings, but presumably you could compress it a great deal putting it in a .zip file. Now imagine the havoc caused by random mutations on that format though.
Richard von Mises (brother of the economist) formulated a definition of randomness as a sequence of data that, were you a gambler, you cannot by any strategy make money on betting on the outcomes. This was before computational calculus and was later developed by Kolmogorov and others in algorithmic complexity. The modern variation would be (Wiki) "considering a finite sequence random (with respect to a class of computing systems) if any program that can generate the sequence is at least as long as the sequence itself".