The aim of this paper is to provide characterizations of the Lebesgue-almost everywhere continuity of a function f : [a, b] $\rightarrow$ R. These characterizations permit to obtain necessary and sufficient conditions for the Riemann integrability of f .
On sufficient conditions for mixed monotonicity
Sufficient Conditions for the Controllability of Wave Equations with a Transmission Condition at the Interface
On the continuity of the tangent cone to the determinantal variety
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