Recent content by karan4496

a) The relationship would be, |z| = \sqrt{x^2 + y^2} = r & |z^2| = |z|^2 = r^2 b) Okay, I got the series expanded by using the substitution. f(z) = \frac{1}{2w^3} - \frac{1}{4w^2} + \frac{1}{8w} - ... So, 1/8 is the residue. c) I found my mistake on part c) I...

Homework Statement a) Find the radius of convergence of the following complex series and the complex point, where the center of the disk of convergence is located: \sum_{n=1}^{inf} 4^n (z-i-5)^{2n} b) Find the Laurent series of the following function, f(z), about the singularity, z = 2, and...

Homework Statement I did the lab and have to analyze the data to determine the quantized charge of an electron. I have used the data to determine the 'total' charge on the observed drops using the following equation.Homework Equations q = 3 ∏ r (E) η (Vup+Vdown) Where r is the known radius of...

Ok so I got up to this step. dP = -P/v dv + P/T dt Im unsure of how to proceed from here

Homework Statement For an ideal gas the slope of an isotherm is given by (∂P/∂v) constant T = -P/v and that of an isochore is (∂P/∂T) constant v = P/T Show that these relations give Pv = RT Homework Equations Pv = RT The Attempt at a Solution I have never worked with...

I recently watched 'Pi' which is sort of a mathematics-fiction film. It has an interesting premise and the film itself is quite psychological and dare I say, hypnotic in some parts.

I read "Oryx and Crake" by Margaret Atwood this summer and really enjoyed it. It presents one of the most believable dystopian worlds I've read about. I'm intently waiting to read it's sequels.

What you have just stated is exactly what I have been feeling for the past month. I have a passion for fine arts, history and writing yet Physics is what I want to learn because I believe it answers some of the biggest questions and offers many opportunities in different fields.

Im planning to attend Drexel University next year and was wondering if taking Physics as a major and Astrophysics as a minor was a good choice. Im very interested in learning about the Universe and astronomy with the application of mathematics and computer programming. I hope to specialize...

Im going to start my senior year in High School in a week and i share the same ambition to pursue the theoretical/astrophysics fields. I would recommend mathematics and science as being your primary academic subjects with English and a foreign language being your secondaries. To catch the...