One of Ramanujan's cool continued fractions relates the root of half of this number to one over x plus one over one plus two over x plus three over one plus and so on. The LindemannWeierstrass theorem was first applied to this number. Euler proved that the sum "one over one-squared, plus one over two-squared, plus one over three-squared" and so on converges to this number over six. The integral gamma function of one-half is the square root of this number, which is why the denominator of the (*) Gaussian distribution contains the square root of two times this number. Because this number's square root is not constructible, the circle cannot be squared. This is the smallest positive number whose cosine is negative one. This is the area of the unit circle. For 10 points, name this number, the
One of Ramanujan's cool continued fractions relates the root of half of this number to one over x plus one over one plus two over x plus three over one plus and so on. The LindemannWeierstrass theorem was first applied to this number. Euler proved that the sum "one over one-squared, plus one over two-squared, plus one over three-squared" and so on converges to this number over six. The integral gamma function of one-half is the square root of this number, which is why the denominator of the (*) Gaussian distribution contains the square root of two times this number. Because this number's square root is not constructible, the circle cannot be squared. This is the smallest positive number whose cosine is negative one. This is the area of the unit circle. For 10 points, name this number, the ratio between a circle's circumference and its diameter.
One of Ramanujan's cool continued fractions relates the root of half of this number to one over x plus one over one plus two over x plus three over one plus and so on.