Definition:Discontinuity of the First Kind/Also known as
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Discontinuity of the First Kind: Also known as
A discontinuity of the first kind is also known as a simple discontinuity.
Some authors define a discontinuity of the first kind and a jump discontinuity to be the same thing.
Some other authors allow removable discontinuities to be a subset of jump discontinuities.
Sources
- 1964: Walter Rudin: Principles of Mathematical Analysis (2nd ed.) ... (previous) ... (next): $4.26$
- 1998: David Nelson: The Penguin Dictionary of Mathematics (2nd ed.) ... (previous) ... (next): discontinuity
- 1998: David Nelson: The Penguin Dictionary of Mathematics (2nd ed.) ... (previous) ... (next): simple discontinuity
- 2008: David Nelson: The Penguin Dictionary of Mathematics (4th ed.) ... (previous) ... (next): discontinuity
- 2008: David Nelson: The Penguin Dictionary of Mathematics (4th ed.) ... (previous) ... (next): simple discontinuity