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 ...

We introduce a new method for inverse design of nanophotonic devices which guarantees that resulting designs satisfy strict length scale constraints - including minimum width and spacing required by commercial semiconductor foundries. The adopts several concepts from machine learning to transform the problem topology optimization with an unconstrained stochastic gradient problem. Specifically, ...

We introduce the homotopic alternating sequential filter as a new method for smoothing 2D and 3D objects in binary images. Unlike existing methods, our method offers a strict guarantee of topology preservation. This property is ensured by the exclusive use of homotopic transformations defined in the framework of digital topology. Smoothness is obtained by the use of morphological openings and c...