Chapter: Properties of Real Functions

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  1. Definition: Continuous Functions at Single Real Numbers
  2. Definition: Continuous Real Functions
  3. Definition: Even and Odd Complex Functions
  4. Section: Differentiable Functions
  5. Definition: Continuously Differentiable Functions
  6. Definition: Uniformly Continuous Functions (Real Case)
  7. Definition: Periodic Functions
  8. Definition: Even and Odd Functions
  9. Section: Integrable Functions
  10. Lemma: Invertible Functions on Real Intervals
  11. Definition: Convex and Concave Functions
  12. Definition: Logarithmically Convex and Concave Functions
  13. Section: Uniform Convergence of Functions
  14. Definition: Monotonic Functions
  15. Definition: Bounded and Unbounded Functions

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