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Chapter: Properties of Real Functions

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Table of Contents

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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