Recent content by jammidactyl

Ah... right an inner product space. I'll tell you what really motivates these questions. I'm having trouble sorting out the topological and algebraic properties of R^n that generate the differentiable structure. I found an article that talks about some of the ideas that interest me...

I'm thoroughly confused by the Schwarz inequality. In many books on analysis, the author defines the Euclidean distance and then shows that the distance function is a metric, ie the Schwarz inequality holds. This isn't very satisfying as I feel it masks the properties of R^n that generate...

I always get hung up on logical dependencies when I'm studying... takes me so much longer! I blame this on my reading Suppes' "Axiomatic Set Theory" last year. Tonight while reviewing analysis I'm getting wrapped around the axle with ordered rings and the Cauchy-Schwarz Inequality. Does this...

I read your solution before the stealth edit and became even more confused! Seriously though, thank you for the help! I see #59 now... forgot about Lagrange's Theorem applied to a cyclic group. Never would have got #61, though. Thanks again!

Not so good with the number theory and don't understand #59 and #61 on the practice GRE. Not even really sure where to start with these problems. http://www.ets.org/Media/Tests/GRE/pdf/Math.pdf 59. A cyclic group of order 15 has an element x such that the set {x^3, x^5, x^9} has exactly...

Engineers, managers and control room operator positions generally require degrees and are salaried. Instrument techs, electricians, welders, boilermakers, etc are all skilled laborers while a maintenance worker may start as an unskilled laborer (janitor) and work up. Many of the techs and...

Apparently it depends on which definition of the term "ring" you're used to! This is good information to know for the test... never realized there was such a difference.

Hrm... according to Wikipedia, some authors (of the books I happen to read) define separately "rings with unity". I guess I was just hung up on a matter of convention. Thanks! http://en.wikipedia.org/wiki/Ring_%28mathematics%29

It only needs an additive identity to be a subring, which it has.

I'm reviewing the practice booklet for the GRE and came across a question I can't solve. Problem #57 for reference. http://www.ets.org/Media/Tests/GRE/pdf/Math.pdf Let R be the field of real numbers and R[x] the ring of polynomials in x with coefficients in R. Which of the following subsets...

The military is a viable option, but not suggested if it's not truly what you want to do. The compensation is pretty good but doesn't match the sacrifice. If you don't gain personal satisfaction from the work (and it can be hard with all the extra duties), or if you have ambitions outside of the...

The "best" path is the one that you'll stick with. Don't know anything about it, but USC has a distance program for engineering. http://den.usc.edu/prospectives/faq.htm

A good reference for copyright with respect to academic journals: http://libraries.mit.edu/about/journals/copyright.html

Every work in the US is copyrighted upon creation. No need to toy around with sending it to yourself. If you merely want the credit and recognition, then post it to arXiv as others have noted. If this still doesn't satisfy you, save yourself the $.39 for a stamp and register your copyright...

To the original poster, with your background I'd say a physics GRE score of around 800, plus good letters of recommendation would make you competitive. On the subject of preparation (for the math or physics exam), the first step is to look at the material available from ETS...