Math 2.0

concept

Continuity in R^n

Summary

Take a function between subsets of Euclidean spaces, and a point aa. The function is continuous at this point when small changes of the input near aa give small changes of the value. For a function of several variables, the input can change in all coordinates at once.

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Euclidean space, object, no evidence levelEuclidean spaceobjectFunction, concept, no evidence levelFunctionconceptFunction of several variables, concept, no evidence levelFunction of several v…conceptLimit of a function of several variables, concept, no evidence levelLimit of a function o…conceptContinuity in R^n, concept, no evidence levelContinuity in R^nconcept
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  • no evidence level
  1. Euclidean space object
  2. Function concept
  3. Function of several variables concept
  4. Limit of a function of several variables concept
  5. Continuity in R^n concept

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Sources

  1. Web https://en.wikipedia.org/wiki/Continuous_function, Continuous functions between metric spaces

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