Mathematical Constants

Mathematical constants.

boring_math.special_functions.constants.infinity: complex = (inf+infj)

Representative of a single complex infinity.

Real valued functions will use +inf and -inf when two-sided limits exist. The positive inf will be used for the case of distinct one-sided extended real valued infinities.

boring_math.special_functions.constants.e: float = 2.718281828459045

Base of the natural logarithms.

boring_math.special_functions.constants.pi: float = 3.141592653589793

Ratio of a circle’s circumference to its diameter.

Also, π can be defined as the smallest positive real value x where e²ˣⁱ = 1 or sin(x/2) = 1.

This value for π is based on a continued fraction expansion due to Bill Gosper.

π = 4/(1 + 1²/(3 + 2²/(5 + 3²/(7 + 4²/(9 + 5²/(11 + …))))))