Mathematical singularity, a point at which a given mathematical object is not defined or not "well-behaved", for example infinite or not differentiable
Removable singularity, a point at which a function is not defined but at which it can be so defined that it is continuous at the singularity
Natural sciences
Singularity (system theory), in dynamical and social systems, a context in which a small change can cause a large effect
Gravitational singularity, in general relativity, a point in which gravity is so intense that spacetime itself becomes ill-defined
Initial singularity, a hypothesized singularity of infinite density before quantum fluctuations caused the Big Bang and subsequent inflation that created the Universe
Penrose–Hawking singularity theorems, in general relativity theory, theorems about how gravitation produces singularities such as in black holes
Singularity University, a California Benefit Corporation part think-tank, part business incubator, based on Ray Kurzweil's theory of technological singularity
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