Usually means: Order-preserving between ordinals, continuous.
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We found 5 dictionaries that define the word normal function:

General (1 matching dictionary)
  1. Normal function: Wikipedia, the Free Encyclopedia

Computing (2 matching dictionaries)
  1. normal function, Normal function: Encyclopedia

Science (2 matching dictionaries)
  1. Normal Function: Eric Weisstein's World of Mathematics
  2. normal (ordinal) function, normal function, normal function: PlanetMath Encyclopedia

Definitions from Wikipedia (Normal function)

noun:  In axiomatic set theory, a function is called normal (or a normal function) if it is continuous (with respect to the order topology) and strictly monotonically increasing.

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