1) Probably not. For one I don't think that it would be enough physics for the PGRE, but biology graduate programs may be different. I also don't think it would be enough physics backgrounds for a ms/phd program in physics let alone for direct entry into the Phd. Look at the specific courses...
What is the significance of the Harvard business school analogy? There are way too many confounding factors and differences between top business schools and *all* physics programs to really extrapolate anything meaningful from such a comparison.
I believe obsessing over school rankings in...
IQ tests are irrelevant. Feynman "only" scored a 122. You're in good company.
But there is no quick assessment/numerical value/test that will tell you if you should continue. If you are doing well in classes and enjoying yourself that should be enough.
I'm not a PhD candidate but looking at profiles of admitted student at highly ranked/top schools the PGRE is very important. A not so great PGRE score can be overcome (usually by heavy exposure to undergraduate research) but if you want a great shot at a strong it would be very helpful to score...
I'm assuming you are looking at the USnews rankings? I seriously doubt it would be an issue for graduate admissions. I think when graduate schools gauge school quality they look at the school's undergraduate reputation overall rather than at the school's research reputation in said field...
I'm not a PhD or anything but from the extensive research I've done getting an tenure track position at a university is ridiculously competitive. I don't know how the market is currently but in 1999 for every tenure track opening at universities in the USA there were 200 applicants, most of...
I am finishing up my third year as an EECS major of a five year program at a highly reputable public university and I am strongly considering applying to doctoral programs in EECS (I figure I can leave with a terminal masters should I discover research at that level is not my cup of T). By...
The short answer is the job market isn't particularly great for either of these majors assuming you possesses only a bachelors and have no additional exposure to other fields.
A bachelors in physics usually requires extensive exposure to another field such as computer science or engineering...
Homework Statement
Let property 1 be : If [ai,bi] is a sequence of intervals that are closed such that for each i the interval [a(i+1), b(i+1)] is either the left half of [ai,bi] or the right half, then there exists precisely 1 number in all intervals sequence.
Show if a field f...
Let f be not one to one. f,g map X to itself and thus g(x) are elements in X for all x.
Since f is not one to one, we can find a g(x) not equal to g(y) such that f(g(x)) is equal to f(g(y)).
Since g(x) does not equal g(y), then x cannot equal y. (This is the step I am a bit unsure of but it...
From here since g(x) does not equal g(y), we know x cannot equal y. So we have x,y such that x does not equal y but fog(x)=fog(y). So fog is not one to one.
for b): Let f be not one to one. f,g map X to itself and thus g(x) are elements in X for all x. Since f is not one to one, for some g(x), g(y) with x,y in X, g(x)=g(y) but f(g(x)) does not equal f(g(y)). So fog cannot be one to one.
Made some typos, here's the right question:
a) If f possesses at least 1 left inverse yet has no right inverse, then f has strictly more than 1 left inverse.
b) If f and g are maps from a set X to X and fog is one to one, then f an g are both one to one.
Homework Statement
Prove or disprove
a) Let f:X---->Y. If f possesses more than 1 left inverse yet has no right inverse, then f has strictly more than 1 left inverse.
b) If f and g are maps from a set X to X and fog is one to one, then f an g are both injective one to one.
Homework Equations...