In [1], C. Goffman proved that, if σ is a modulus of continuity, then the set of all functions f in C [ 0, 1] such that m ( {x:f (x) = g (x)}) = 0 (m denotes Lebesgue measure) for all g in C (σ), the ...

Young's modulus is a crucial mechanical property in engineering, as it defines the stiffness of a material and tells us how much it will deform for an applied stress. In this video I take a ...