a. often Singularity Computers A hypothetical future point in time when artificial intelligence will surpass human intelligence and be able to self-replicate and improve itself autonomously.

b. Astronomy & Physics A point in spacetime, such as a black hole, at which matter has infinite density and infinitesimal volume and the curvature of spacetime is infinite. Also called gravitational singularity.

c. Mathematics A point at which the derivative does not exist for a given function but every neighborhood of which contains points for which the derivative exists. Also called singular point.