OEF iff --- Introduction ---

The notion of necessary conditions and sufficient conditions is of fundamental importance in the mathematical reasoning. For this reason, experts in such reasoning, including math teachers, often get so used to it that they do not realize how this notion may be difficult and unusual to students.

In fact this notion is not so difficult as it often appears to some students, and it is in practicing that one becomes expert. Therefore we gather here 11 training exercises on this notion, in a hope to quickly make you an expert on it. The most recent version

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Description: collection of training exercises on necessary and sufficient conditions. interactive exercises, online calculators and plotters, mathematical recreation and games

Keywords: interactive mathematics, interactive math, server side interactivity, logic, necessary,sufficient