Quantifier/Examples/Epsilon-Delta Condition

Example of Use of Quantifiers

 * $\forall \epsilon: \exists \delta: \forall y: \size {x - y} < \delta \implies \size {\map f x - \map f y} < \epsilon$

means:


 * For every $\epsilon$ there exists a $\delta$ such that for every $y$:
 * If $\size {x - y} < \delta$ then $\size {\map f x - \map f y} < \epsilon$.