Recent content by harmonie_Best

I have to draw cosine waves in relation to pattern formation for mathematical biology, for example, I have to plot things similar to these on the x-axis; cos( 2*pi*x / √5 ) from x= 0 to √5 cos( 3*pi*x / 2 √5 ) from x= 0 to 2√5 cos( 3*pi*x / 2 √(5/6) ) from x=0 to 2√5 And with the y-axis; cos(...

Perfecto! Thanks a bunch!

It's just the final part (e) that I don't get, I have the rest but just for completeness I thought I'd put it in (iii) Let f : (0,infinity) -> R be a function which is differentiable at 1 with f '(1) = 1 and satisfies: f(xy) = f(x) + f(y) (*) (a) Use (*) to determine f(1) and show that f(1/x)...

Ohhhh, I get it, thank you =) I need to pay more attention!x

Okay so can I say: Set g(z) = 1/f(z) which is <= 1/5, therefore g(z) is bounded by 1/5, and by Cauchys integral theorem, g(z) is constant. As g(z) a function including f(z) we can conclude that f(z) is also constant?

Homework Statement Show that if f is an entire function which satisfies (a) I am f(z) > - 10 or (b) |f(z)| >= 5, then f is constant. Homework Equations liouville's theorem, Cauchy's inequality(?) The Attempt at a Solution Want to show that both are bounded as it will satisfy...

Homework Statement hey there I have been given a question that asks me to define a sequence Xn which tends to infinity that has a limit that is infinity! I am so cofused. I would assume to use an adapted version of the epsilon delta condition? Homework Equations It's for Analysis...