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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.Differentiable Functions

6.Definition: Continuously Differentiable Functions

7.Definition: Uniformly Continuous Functions (Real Case)

8.Definition: Periodic Functions

9.Definition: Even and Odd Functions

10.Integrable Functions

11.Lemma: Invertible Functions on Real Intervals

12.Definition: Convex and Concave Functions

13.Definition: Logarithmically Convex and Concave Functions

14.Uniform Convergence of Functions

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