Definition, Meaning & Synonyms

jump-discontinuity

Noun
juhmp-dis-kuhn-tin-yoo-i-tee
Definition
A jump discontinuity is a type of discontinuity in a function where the function makes an abrupt jump from one value to another.
Examples
  • The graph of the piecewise function shows a jump-discontinuity at x = 2.
  • In real-world applications, jump-discontinuities can represent sudden changes in system outputs.
  • You can see a jump-discontinuity in the temperature readings when the heating system was turned on.
Meaning
It refers to a situation in mathematics where a function’s value suddenly changes, and there is a gap in the graph of the function.
Synonyms
  • Discontinuity
  • Step discontinuity