This real number is the largest which evenly divides all possible well-defined closed line integrals of the differential form x-dy minus y-dx all over x-squared plus y-squared, a fact that helps define the winding number.
This real number is the largest which evenly divides all possible well-defined closed line integrals of the differential form x-dy minus y-dx all over x-squared plus y-squared, a fact that helps define the winding number. The integral of curvature on a compact boundaryless manifold equals this constant times the Euler characteristic, by Gauss-Bonnet. This number is the reciprocal of the magnitude of the complex constant in the Cauchy integral formula. The peak density of the unit normal distribution equals one over the square root of this quantity. Using a constant with this value instead of a related number is advocated by the "Tau Manifesto." The sine and cosine functions have this period. For 10 points, identify this number of radians in a circle, the ratio of a circle's circumference to its radius.
This real number is the largest which evenly divides all possible well-defined closed line integrals of the differential form x-dy minus y-dx all over x-squared plus y-squared, a fact that helps define the winding number.
2pi [accept tau before mention, prompt on decimal approximations like 6.28..., obviously do not accept or prompt "pi"]