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...ic topology''' induced by <math>d</math>. Thus metrics allow concepts from analysis and topology to be studied in a common framework. ...ion generalizes the usual epsilon delta definition of continuity from real analysis. ...

...the analysis of time and memory requirements, and the use of computers in mathematical research. In mathematics and theoretical computer science, computation may ...whether the program eventually halts. This shows that there are well-posed mathematical questions that no algorithm can answer in complete generality. ...