Recent content by BubblesAreUs

Homework Statement Suppose we have a rope of length L and total mass M. Suppose we x its ends at points (xA; yA) and (xB; yB). We want to determine the shape the rope makes, hanging under the influence of gravity. The rope is motionless, with a shape parametrised by y(x) or equivalently, x(y)...

Excellent. I can't wait till I get my hand on this text. Thanks, once again.

Another question. How does the text define a ring with respect to multiplicative inverses?

Thanks Bill. Would you consider this textbook good as a standalone text? If so, which chapters would you recommend going through in order to learn Galois Theory. I alreadyknow that a semester course in abstract algebra is not required even though I'm planning to take it next semester.

I am looking for an accessible textbook in group theory. The idea here is to use it to learn basic group theory in order to take up Galois Theory. My background includes Calculus I-IV, P/Differential Equations, Discrete Mathematics including some graph theory, Linear algebra, and am currently...

Homework Statement Recall that F is the vector space of functions from ℝ to ℝ, with the usual operations of addition and scalar multiplication of functions. For each of the following subsets of F, write down two functions that belong to the subset, and determine whether or not the subset is a...

Will be doing that once I find such a provider. It would've been great if Indian institutions offered their units to Westerners, though. They seem respectable considering that their open university grads do post-grad studies in the West.

Hello all, I'm enrolled at an Australian university that offers mathematics. However, I want to fast track my education by enrolling in units over the holidays ( late Nov to early March). The problem, however, is that my institution does not offer advanced second or third year units. I'm...

I am using R studio for a practical and I need to load a survey. It suggests that I place the following into the R template that I was provided: survey=read.csv("http://www.maths.usyd.edu.au/u/UG/IM/STAT2012/r/survey.csv") attach(survey) pulse.sf=pulse[smoke==1 & sex==2] pulse.sf Template...

Delta Q is a fixed variable and rather k, t depend on it as they are floating variables. MATLAB is a bit different from python in that its arrays aren't indexable. Say x = [1,2,3,4,5], I can't use x[0] = 1, x[3] = 4, etc.

Homework Statement Modelling the following equation: k = Delta Q / t Homework Equations Q = T2 - T1 = -40 (fixed) t = Delta Q / k. I need to find t. k can be floating so I suppose 0 to 10 minutes with 0.5 increments The Attempt at a Solution I don't have MATLAB on me at the moment...

k is just an integer that belongs to set Z. As for b, I think f is surjective because h is. Since f is an input of g, I'm not exactly sure how I can re-utilise my proof from part a.

Homework Statement Let f: X ----> Y and g: Y ----> Z be functions and let h = g o f: X ----> Z Homework Equations a. If h is surjective then g is surjective b. If h is surjective then f is surjective. The Attempt at a Solution Here h: X ----> Z a. Suppose h: x ---> z is surjective...

Yes, for the first part, I essentially grabbed a sub-matrix and showed that its determinant is zero. To go any further than that would probably be quite tricky. Thanks Ray

Oh that makes sense. Now what I even more puzzling is that I'm supposed to find a min floating point such that, it plus 1 should not return 1. Interestingly, the output I am getting when adding min float and 1 is 1.