The complex numbers are a very important aspect of mathematics. They are utilized often in Analysis (obviously), Mathematical Physics, Algebra, and Number Theory (I am not certain about Geometry/Topology).
There was a problem that was solved in the 19th century: Can one construct a square...
The sequence is the set of n's where | ∑_{k=0}^{n} a_{k}z^{k} | is a local maximum in the sequence of the magnitudes of partial sums (the partial sums are complex valued).
I currently have the first 125,256 terms of a sequence of natural numbers. I need to find a formula for any non-finite sub-sequence.
Are there any good methods for obtaining such a formula? I can already say that it isn't a linear distribution, and I highly doubt it being polynomial (although...
Some people say infinity is infinity. There is nothing greater than infinity not even infinity + 1. But, others argue that there is a greater infinity of real numbers between 0 and 1 than there are integers between 0 and infinity. It is all how you interpret it.
In application (if this is even possible), it would be so close to 0, they would consider it 0%, but the real issue is, this is a limit & infinite series problem as chiro says. The chances of picking any specific number would approach 0. Check out / review the Infinite Series (with rieman sums)...
Although many math problems will ask you to solve one or more variables, while in class, it is about understanding WHAT that variable means. What each variable you used on the way means.
Math in the higher levels is more about understanding what it represents (as well as solving for x). - For...