Recent content by freshman2013

But the flashes were simultaneous in the rest frame, so shouldn't that be equivalent to calculating the separation between 2 events? If you instead replaced the two lights with a ruler that is 30km long, then you would see the two ends simultaneously in the rest frame, but they won't be...

I'm coming across a contradiction that I can't resolve. Two points on the ground are separated by 30km. If you're in a moving frame at velocity +v relative to the ground and you view those two points on the ground, would those two points be greater or less than 30km apart? At first, I thought it...

So it's actually a fish (I used stick because it seemed easier to explain). Also, the professor said even though his solutions involved looking directly over one end of the fish, he decided to give credit to looking right above the middle of the fish (as I stated in the OP) because the question...

But the exam solutions have nothing to do with what angle it subtends. It showed the virtual rays originating from the SAME depth as the stick, and taking the distance between the origins of the two rays from the ends.

A height H above the water. It doesn't specify how high.

Here is a problem that showed up on my exam that I couldn't find any variation online. A stick of length L is depth D in the water. The stick is parallel to the surface of the water, and the viewer (in air) is looking down in the water right over the middle of the stick. What is the apparent...

I will be a senior at UC Berkeley studying Computer Science, and I am looking for some research experience in the fields of CS for next fall. The CS class that I have done best in is machine learning and I also enjoy working with big data (2 internships related to it), so any type of research...

Hello, I'm currently going into my fourth year in UC Berkeley this fall, studying Computer Science. My cumulative GPA is 3.56, however, my upper division CS gpa is a 3.2. I haven't done research before but I'm currently looking to do research this upcoming fall. Do I have a shot at top...

I think I bit off more than I could chew and I'm struggling to keep up with my technical courses this semester. Thus, I'm thinking about just giving up on my probability class, since it's lower in priority than doing in well in my CS classes, as a CS major. The class is incredibly interesting...

Forexample, I'm saying that you can argue that x^2 is coprime with n for all primes n. Then argue that x^2 mod n is bijective for all primes n. But that's not that case. E.g. x^2mod 7 x=3 x^2mod7 = 9mod7 = 2mod7 x = 4 x^2mod7 = 16mod7 = 2mod7 Thus x^2mod7 is not bijective but I can use the exact...

1. State whether or not f(x) = 2x mod n is a bijection for all odd n and prove it Homework EquationsThe Attempt at a Solution So I'm pretty sure it is a bijection over testing it for some odd n, and the fact that gcd(2,n) = 1, thus there must exist an inverse for 2x mod n. However, I realize...

I'm a STEM major, college sophomore, looking for an internship this summer and a place I'm applying to needs 3 references, after I finished my interviewed there. I tried contacting my manager from my intern position last year asking if she'd be a reference. Problem is she didn't respond after a...

in the problem f(x,y)=x^2+y^2 and xy=1, I get 2 as a local extrema and it is a min in the problem f(x1,x2...xn) = x1+x2..+xn (x1)^2+...(xn)^2=1 I get sqrt(n) and its a max. How do I know if these are max or min values? If I get more than two extrema, I just compare them and one's a max and the...

Homework Statement If y1 and y2 are solutions to y"-y = 0 then c1y1+c2y2 represent all solutions to the differential equation for all scalars c1 and c2 Homework Equations The Attempt at a Solution Basically, my TA's solutions to his worksheet said it was true, and I'm not sure if...

Homework Statement 1. Determine if arctan(7+1/n)-arctan(7) converges or diverges 2. Determine if 2/1-1/2-1/3+2/4-1/5/-1/6+2/7... converge or diverge Homework Equations series tests The Attempt at a Solution 1.My gut instinct is to do limit comparison test w/ 1/n, and it...