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In the logical structure of the definition, $\epsilon$ is chosen first. It represents the prescribed tolerance for the output.

Conditions: The definition is viewed as a challenge or game.; $\epsilon$ is the independent variable in the logical quantification.; $\delta$ depends on the chosen $\epsilon$.

In the logical structure of the definition, $\epsilon$ is chosen first. It represents the prescribed tolerance for the output.

Conditions: The definition is viewed as a challenge or game.; $\epsilon$ is the independent variable in the logical quantification.; $\delta$ depends on the chosen $\epsilon$.