“Whew, this might be getting a bit confusing. I hope you are following me so far. This is the point in every Theory of Computation course at which students either throw up their hands and say "I can't get my… — Melanie Mitchell Copy Share Image
“Linearity is a reductionist’s dream, and nonlinearity can sometimes be a reductionist’s nightmare. Understanding the distinction between linearity and nonlinearity is very important and… — Melanie Mitchell Copy Share Image
“Whew, this might be getting a bit confusing. I hope you are following me so far. This is the point in every Theory of… — Melanie Mitchell Copy Share Image
“Turing’s first goal was to make very concrete this notion of definite procedure. The idea is that, given a particular problem to solve, you… — Melanie Mitchell Copy Share Image
“This statement is not provable.” Think about it for a minute. It’s a strange statement, since it talks about itself—in fact, it asserts that… — Melanie Mitchell Copy Share Image
“Tony Rothman points out, “Why the second law should distinguish between past and future while all the other laws of nature do not is… — Melanie Mitchell Copy Share Image
“idea models—models that are simple enough to study via mathematics or computers but that nonetheless capture fundamental properties of natural complex systems.” — Melanie Mitchell Copy Share Image
“Information, as narrowly defined by Shannon, concerns the predictability of a message source. In the real world, however, information is something that is analyzed… — Melanie Mitchell Copy Share Image
“complex system: a system in which large networks of components with no central control and simple rules of operation give rise to complex collective… — Melanie Mitchell Copy Share Image
