The wetting of a polymer brush by a melt of similar chains can have a window of complete wetting with a classical allophobic wetting transition at low grafting density sigma and an autophobic one at high sigma. However, when the melt chains are much longer than the brush chains, the contact angle alpha goes through a nonzero minimum where partial differential alpha/ partial differential sigma h...

Let S(t,t') be the sigma-algebra generated by the differences X(s)-X(s) with s,s' in the interval(t,t'), where (X_t) is the fractional Brownian motion process with Hurst index H between 0 and 1. We prove that for any two distinct t and t' the sigma-algebras S(t-a,t+a) and S(t'-a,t'+a) are asymptotically independent as a tends to 0. We show this in the strong sense that Shannon's mutual informat...

A proposed blind video data hiding approach, for embedding different types of data in video frames is presented. Video signal is a highly correlated signal, this correlation is stemming from two sources. The first one is the spatial correlation that results from inter-pixel correlation within each frame of the video sequence. The second one is the temporal correlation that results from the slow...

The aim of this article is to present “a closer look” at the management theory of “Six Sigma Quality” and to contrast it with the management theory of Dr. W. Edwards Deming. This paper will offer a perspective that the critical differences between “Six Sigma Quality” and the teachings of Dr. Deming are not technical, but rather philosophical in nature. This explanation briefly compares the tech...

We present very short and simple proofs of such facts as co-frame distributivity of sublocales, zero-dimensionality of the resulting co-frames, Isbell’s Density Theorem and characteristic properties of fit and subfit frames, using sublocale sets.

Non-orthogonal communication is a promising technique for future wireless networks (e.g., 6G and Wi-Fi 7). In the vector channel model, designing efficient non-orthogonal schemes amounts to following extremum problem: \[ \max \min_k \frac{|v_k|^2}{\sigma^2 + \sum_{l \neq k} \langle v_k, v_l \rangle^2} \] where maximum taken among systems $(v_k)_1^N \subset \mathbb{R}^d$ satisfying $c_1 \leq |v_...