This paper introduces the logics of super-strict implications, where a implication is strengthening C.I. Lewis' strict that avoids not only paradoxes material but also those implication. The semantics implications obtained by (normal) relational for We consider all are based on frames modal in cube. it shown connexive they validate Aristotle's Theses and (weak) Boethius's Theses. A proof-theore...

A problem of performance enhancement for multiple frequencies estimation is studied. First, we consider a basic gradientbased estimation approach with global exponential convergence. Next, we apply dynamic regressor extension and mixing technique to improve transient performance of the basic approach and ensure non-strict monotonicity of estimation errors. Simulation results illustrate benefits...

Our goal, in this paper, is to study some equivalent deenitions of the pseudospectra of a closed linear operator. We start from two deenitions, one with strict inequality and the other with non-strict inequality. The rst deenition makes the pseudospectrum open and the second makes it closed. We will show the subtle diierence between these seemingly almost identical deenitions and the relations ...