Homework Statement
Show that the function w = e^z maps the shaded rectangle in Fig X one-to-one onto the semi-annulus in Fig y.
Fig x is the rectangle -1<x<1 ; 0<y<(x+pi(i))
Fig y is the semi-annulus such that y>0 and -e<r<-1/e
Homework Equations
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The Attempt at a...
Ya I just set the equations equal and restricted B and C to be natural numbers and just checked which B would give me the correct C, which in tern gave me the correct A. Thank you.
Homework Statement
I have 32 bills in my wallet in the denominations $1, $5, and $10, worth $100 in total. How many of each denomination do I have?
Homework Equations
A= # $1 bills
B= # $5 bills
C= # $10 bills
A+B+C = 32
1A+5B+10C = 100
The Attempt at a Solution
So I...
I am currently a freshman at a top 15 university. We are very hard-science based, but I am currently an international studies major. I was thinking of switching into physics / math / econ but I don't know if that would be advisable (I'm a pretty good writer, but I did well on math (800 math II...
From what you have posted, WPI, Northeastern, and RPI seem like good choices. You seem like a good candidate for those schools based on your GPA / SAT scores. Carnegie Mellon is a bit of a reach, but you should be able to get in. Cornell and MIT are much more selective, and therefore I would say...
Well I'm heading to Hopkins and some of my friends are going to Harvard/MIT/Columbia/Swarthmore/Dartmouth . All had good grades but were by no means the "best in the class" (probably ranked 20 average or so in a class of a 250ish at a great private school). There is sooooooo much more to...
I think a part of the problem is that many older people simply don't have the social resources to exercise regularly.
Many of them are long beyond playing sports and doing other things that lead to exercise secondarily (for instance, I currently play hockey as an 18 year old, and I am in...
If this is real, then first off congrats and I (and many other kids) would kill to be in your position...
I would go to MIT myself because of your intended focus, but Princeton would also be a fantastic place to spend your undergrad years (I would take Princeton over Harvard but that's just me)
Another good method is to create a simplistic metaphor for the topic at hand. Connect topics with experiences or things you are already familiar with. Make the metaphors as simple as possible. So many people try to make things more complicated than they are, especially if you are of above...
Twofish-Quant, have you had a chance to look at a place like college confidential to see what the typical MIT/Caltech/HYP applicant looks like these days? It is pretty much guaranteed he/she has a very high (3.9+) GPA along with a 2200-2300+ SAT score. Even then, these schools reject plenty of...
Yes I believe cardiovascular exercise is the most important for mental function/abilities, but strength training should not be neglected (especially since it boosts confidence). Personally I like running while reading a book on the treadmill, or walking/running in the woods just to nature. Mix...
Exercise is essential for improvement in mental function, for instance long term memory recall, etc, which is undoubtedly useful in studies.
See here: http://www.fi.edu/learn/brain/exercise.html etc.
Well, we are the same age actually, but I will give some of my wisdom I have garnered.
1) As the person above me said, no video games (by this I mean more than 3-4 hours a week)
2) Pick a major, and stick with it. Don't be afraid to experiment, but realize you will never find a perfect major...