Jump Discontinuity

Pronunciation: /dʒʌmp ˌdɪs kɒn tnˈu ɪ ti/ ?

Graph of a function that equals 2 on the range [-8,1] and equals 1 on the range (1,8]
Figure 1: A function with a jump discontinuity at 1.

A jump discontinuity is a discontinuity where the value of a function 'jumps'. In more exact terms, a jump discontinuity occurs at a value of the independent variable where the right hand limit and left hand limit both exist, but these limits are not equal to each other.


  1. jump discontinuity. merriam-webster.com. Encyclopedia Britannica. (Accessed: 2010-03-04). http://www.merriam-webster.com/dictionary/jump discontinuity.
  2. Continuity and Discontinuity, (article has since been deleted), pg 2. ocw.mit.edu. MIT OpenCourseWare Single Variable Calculus. MIT, Fall 2006. (Accessed: 2010-03-04). http://ocw.mit.edu/NR/rdonlyres/4D85F17F-45B7-4636-8250-2367BE0C0DD8/0/c_cntnt_dscntnt.pdf.

Cite this article as:

Jump Discontinuity. 2010-03-04. All Math Words Encyclopedia. Life is a Story Problem LLC. http://www.allmathwords.org/en/j/jumpdiscontinuity.html.


Image Credits

Revision History

2010-03-04: Added "References" and figure 1 (McAdams, David.)
2007-07-12: Initial Version (McAdams, David.)

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