Critical value

Critical value may refer to:

Topology

In differential topology, a critical value of a differentiable function ƒ : MN between differentiable manifolds is the image (value of) ƒ(x) in N of a critical point x in M.[1]

Statistics

In statistical hypothesis testing, the critical values of a statistical test are the boundaries of the acceptance region of the test.[2] The acceptance region is the set of values of the test statistic for which the null hypothesis is not rejected. Depending on the shape of the acceptance region, there can be one or more than one critical value.

Complex dynamics

In complex dynamics, a critical value is the image of a critical point.

gollark: Useful.
gollark: Or at least alluded to.
gollark: I think it's in there.
gollark: ```pingPING 8.8.8.8 (8.8.8.8) 56(84) bytes of data.64 bytes from 8.8.8.8: icmp_seq=5 ttl=115 time=122 ms64 bytes from 8.8.8.8: icmp_seq=10 ttl=115 time=90.3 ms64 bytes from 8.8.8.8: icmp_seq=22 ttl=115 time=20.1 ms64 bytes from 8.8.8.8: icmp_seq=26 ttl=115 time=19.8 ms64 bytes from 8.8.8.8: icmp_seq=27 ttl=115 time=121 ms64 bytes from 8.8.8.8: icmp_seq=35 ttl=115 time=31.7 ms64 bytes from 8.8.8.8: icmp_seq=36 ttl=115 time=165 ms```LOOK at this packet loss.
gollark: Unrelatedly, oh bees what is going on with my internet connection right now it is like the code of all networking devices is written in highly buggy C oh wait it is oh bees.

References

  1. do Carmo, Manfredo Perdigão (1976). Differential Geometry of Curves and Surfaces. Prentice Hall. ISBN 0-13-212589-7.
  2. Hughes, Ann J.; Grawoig, Dennis E. (1971). Statistics: A Foundation for Analysis. Reading, Mass.: Addison-Wesley. p. 191. ISBN 0-201-03021-7.
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