Miklos Schweitzer 1966_6
Source:
September 29, 2008
functionreal analysisreal analysis unsolved
Problem Statement
A sentence of the following type if often heard in Hungarian weather reports: "Last night's minimum temperatures took all values between \minus{}3 degrees and \plus{}5 degrees." Show that it would suffice to say, "Both \minus{}3 degrees and \plus{}5 degrees occurred among last night's minimum temperatures." (Assume that temperature as a two-variable function of place and time is continuous.)
A.Csaszar