Recent content by DrRocket

You have a pleasant problem. You probably cannot go too far wrong with any of the choices. However, you stated that you intend to study "engineering" but did not say what kind of engineering you wish to study. I take it from that lack of specificity that you have yet to select a specific...

http://en.wikipedia.org/wiki/Atom_(measure_theory )

Viewed as an atomic measure the dominated and monotone convergence theorems of measure theory (and other related theorems) apply to the Dirac delta.

If you handle mathematics by breaking it down into formulas that you then memorize you are wasting your time and learning nothing. The point of mathematics is to understand it so that the formulas are obvious, i.e. so that you understand the subject and are not just manipulating symbols. If...

Sorry this is the real world. I mean took elementary books with pictures and taught themselves to read. Did a rather good job of it too. Some kids are a lot smarter than their teachers. That is fortunate.

There is no paradox and I fail to understand where you could possibly see one. A 5 or 6 year old learns the alphabet because student wants to learn it. The student is responsible for the learning, the teacher only facilitates. No one force fed me the alphabet, nor did they do likewise to...

No it does not. There are infinitely long non-repeating patterns, and you only need two symbols to create one. Thusly: 0.01001100011100001111... Note that there is a pattern in this case, but it is not a repeating pattern. There need not be any specific pattern at all, though this...

My point is mathematics. The distribution of prime numbers, and the prime number theorem that describes it roughly, have nothing to do with probability.

Right, you have the basic idea. BTW pi cannot actually be 3.141592 ... 2323232323232 ad infinitum because the repeating pattern results in a rational number, and we know that pi is not rational.

You can state anything that you like -- all it takes is a pen. The question is what you can prove. And there is nothing that you can prove in this regard using the theory of probability. It simply does not apply. The fact that you can discern no pattern to the digits is simply an...

I am not hung up on anything. Your example of a probabilistic version of the Goldbach Conjecture is quite in keeping with the probabilistic version of the Riemann Hypothesis that I mentioned earlier. Neither is a path to a proof, and both are suggestive, which is their role. You cannot...

If that is your definition then Ok, but that is not how the term is used in science. The scientific definition of determinism is actually like the religious definition. It does back to Newtonian mechanics and the observation of LaPlace that were one to have complete knowledge of the state of...

I agree with 0 and 2. QM is not detereministic. Is it stochastic. In fact the lack of determinism of QM is one of the major stumbling blocks in unifying general relativity with quantum theories. What is true about QM is that the evolution of the state function is deterministic. At the...

No. I am saying that probability theory can tell you something about the expected frequency of encountering a particular sample path, or some class of sample paths. But it cannot tell you anything at all about the attributes of some specific sample path. So, if 10% of the people are named...

What the uncertainty principle really says is that if you prepare a whole bunch of particles, let's say electrons, in the same way and then do a series of measurements on those electrons, say measuring position, that if you perform the measurements so as to produce a small variance in the...