Sam Korsky, 14 years old, Northbrook, IL, USA
Friday, August 19, 2011
A formula for pi
I have derived a new formula for pi, and I wanted your input on it.
}{2}=\pi "\lim_{n \to \infty } \frac{n*sin(\frac{2\pi}{n})}{2}=\pi")
Sam Korsky, 14 years old, Northbrook, IL, USA
Sam Korsky, 14 years old, Northbrook, IL, USA
A primality test
Here's a way to test if a number is prime. What do you think?
!)}{x} \right)=0 "\sin\left(\frac{\pi(2^x-1+(x-1)!)}{x} \right)=0")
Sam Korsky, 14 years old, Northbrook, IL, USA
Sam Korsky, 14 years old, Northbrook, IL, USA
A complex square
Similar to this previous problem, how can we describe, using an equation, the set of all complex numbers 
such that if you connect the origin to , then to the point 
(where 
), then to 
, then finally back to the origin, you get a square?
Eugene Bulkin, 17 years old, USA
Eugene Bulkin, 17 years old, USA
Thursday, August 11, 2011
A complex rhombus
How can we describe, using an equation, the set of all complex numbers such that if you connect the origin to , then to the point (where ), then to , then finally back to the origin, you get a rhombus?
Rick Presman, 18 years old, USA
Rick Presman, 18 years old, USA
Subscribe to:
Posts (Atom)