noun
singularity
A point at which a mathematical description ceases to behave regularly.
The function f(x) = 1/x has a singularity at zero.
Etymology
The source adjective can mean exceptional. Mathematics applies that exceptional status to a point where the usual regular behavior or description breaks down.
More examples
- Defining the function's value at that point removes the singularity.
- We locate the singularities before evaluating the integral.
- General relativity predicts a singularity inside a black hole.
Forms
singularity · singularities
singular adjective — Having or involving a mathematical irregularity.
Similar words
- pole
- A specific singularity where a function grows without bound.
- discontinuity
- A break in continuity, not every type of singularity.