A mapping from [0,1) to Reals?

Thread starter Unassuming
Start date Nov 21, 2008
Tags

Mapping

Nov 21, 2008

Unassuming

A mapping from [0,1) to Reals??

A cont. onto mapping from [0,1) to Reals?

I cannot find it. Could somebody throw a hint at me please?

Physics news on Phys.org

Nov 21, 2008

Dick

Science Advisor

Homework Helper

You already have a thread on this that was answered adequately long ago. Stop asking.

Thread 'Finding the nth roots of a complex number'

There are two things I don't understand about this problem. First, when finding the nth root of a number, there should in theory be n solutions. However, the formula produces n+1 roots. Here is how. The first root is simply ##\left(r\right)^{\left(\frac{1}{n}\right)}##. Then you multiply this first root by n additional expressions given by the formula, as you go through k=0,1,...n-1. So you end up with n+1 roots, which cannot be correct. Let me illustrate what I mean. For this...

View full post »

Thread 'Solve this problem that involves induction'

Hello, This is the attachment, the steps to solution are pretty clear. I guess there is a mistake on the highlighted part that prompts this thread. Ought to be ##3^{n+1} (n+2)-6## and not ##3^n(n+2)-6##. Unless i missed something, on another note, i find the first method (induction) better than second one (method of differences).

View full post »