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Properties of Real Functions

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1.Definition: Continuous Functions at Single Real Numbers

2.Definition: Continuous Real Functions

3.Definition: Monotonic Functions

4.Definition: Bounded and Unbounded Functions

5.Definition: Even and Odd Complex Functions

6.Differentiable Functions

7.Definition: Continuously Differentiable Functions

8.Definition: Continuous Functions at Single Complex Numbers

9.Definition: Uniformly Continuous Functions (Real Case)

10.Definition: Periodic Functions

11.Definition: Even and Odd Functions

12.Integrable Functions

13.Lemma: Invertible Functions on Real Intervals

14.Definition: Convex and Concave Functions

15.Definition: Logarithmically Convex and Concave Functions

16.Uniform Convergence of Functions

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