Recent content by Klungo

From what I recalled on my first attempt. We know that (\alpha^2)^{13} = \alpha^{26} = e since \alpha^2 is a 13-single cycle. So, |\alpha^{2}| \mbox{ divides } 13. That is, |\alpha^2| = 1 \mbox{ or } 13. Clearly, |\alpha^2| \neq 1 since \alpha^2 \neq e. Thus, |\alpha^2| = 13. Now that I...

It's been a while since I've posted. This is a problem I had for a homework assignment a few weeks ago but I completely figure out. Any help appreciated. Homework Statement "A card-shuffling machine always rearranges cards in the same way relative to the order in which they were given to...

Ranking textbooks by difficulty is inaccurate. What some find difficult, others may find easy. It's more ideal to label a book based on its intended reader. That is, introductory vs intermediate and undergraduate vs graduate. Even so, you will get quality by using the standard texts for...

To add, these students who study engineering get laboratory experience with expensive equipment, out of book information from experts of the field, etc. If your goal is to have job opportunities in these fields, you're not going to be able to really "prove" you can compete with those who have...

I declare this thread over. I now understand the procedure.

I just want to know how it's done as it is in a stats 101 course. I know that it is not a proof, but rather an "educated" guess that could be wrong. [Edit:] That is, the general procedure for solving problems given those assumptions.

Statistics doesn't come to me as naturally as math. I'm curious as to how to make a hypothesis test under the assumptions that the population standard deviation is unknown and using tables only. Here is my understanding. Given Suppose: H_0: \mu = \mu_0. Suppose also that: \bar{x}, s is the...

Price is irrelevant. I'm looking for an introductory though rigorous treatment of set theory. I'm about half-way through a text of mathematical logic (propositional, first order predicate, computability theory, etc). But the text doesn't cover set theory. Thanks.

There's a flaw though. {P} does not satisfy (1). For example, neither {P} derives Q nor {P} derives ~Q. And we show that {P} doesn't satisfy (2) by example. I.e. {P} is incomplete.

No consistency is assumed. I'm a bit unsure here. We assume {P} derives/turnstile Q→P and show that (1) holds while (2) fails. (Using the rules of inference my class uses at least) {P} derives P, and {~Q v P} derives Q → P. So, (while skipping some steps) either {P} derives...

Is it true that the following definitions of completeness are equivalent? \mbox{For theory } \Sigma \mbox{ and for any sentence } A. \mbox{ Either } \Sigma \vdash A \mbox{ or } \Sigma \vdash \lnot A and \mbox{ Either } A \in \Sigma \mbox{ or } (\lnot A) \in \Sigma. (The second clearly implies...

I have no intention of physics grad school (not yet as far as I know). There are such things as Computer Engineering at some grad schools. Here, we just go by EE and take all the CS and EE courses we want for a specialty. What I'm trying to get out of the course is a difficult question. I...

It's just one of the major electives I'm considering.

This makes choosing a bit tougher. What if I'm more on the computer engineering side of things? Would it matter less which one I choose?

I know I'm an electrical engineering major but I'm looking to get the most out of my courses. I'm curious about the significant differences between the two intro to electromagnetism courses offered at my school: the "engineering" and the "physics" versions. I'm not sure I get the whole applied...