Let X → Y → Z be a discrete memoryless degraded broadcast channel (DBC) with marginal transition probability matrices TY X and TZX . Denote q as the distribution of the channel input X . For any given q, and H(Y |X) ≤ s ≤ H(Y ), where H(Y |X) is the conditional entropy of Y given X and H(Y ) is the entropy of Y , define the function F ∗ TY X ,TZX (q, s) as the infimum of H(Z|U), the conditional...

Consider two finite-dimensional normed spaces X and Y , a fixed convex cone K ⊂ X, and a linear mapping A : X → Y . We call A well-posed if AK = Y . In particular, in the purely linear case K = X, well-posedness coincides with surjectivity. Our interest is in the “distance to ill-posedness”: that is, we seek the smallest structured linear perturbation ∆A : X → Y such that the perturbed mapping ...

In 1975, Erd?s asked the following question: what is smallest function f ( n stretchy="false">) <mml:annotation encoding="applicat...

In our paper [Proc. Amer. Math. Soc. Ser. B 8 (2021), pp. 86–99] we showed that a Tychonoff space X X is alttext="normal upper Delta"> ...

We introduce landmark grammars , a new family of context-free aimed at describing the HTML source code pages published by large and templated websites therefore effectively tackling Web data extraction problems. Indeed, they address inherent ambiguity HTML, one main challenges extraction, which, despite over twenty years research, has been largely neglected approaches presented in literature. t...

We will be considering sets of n-tuples over an alphabet A, in two important cases: A ¡ ¢ 0£ 1¤ (binary code); n¤ , all entries of each word distinct (set of permutations). We often impose closure conditions on these sets, as follows: A binary code is linear if it is closed under coordinatewise addition mod 2. A set of permutations is a group if it is closed under composition. x£ yïs the number...

The domestic water buffalo (Bubalus bubalis) is an economically important livestock species in many Asian and Mediterranean countries. Two types of water buffalos are river and swamp buffaloes. Genetically, the swamp buffalo has 48 chromosomes (2n = 48) and the river buffalo has 50 chromosomes (2n = 50). Khuzestan province is one of the important centers of buffalo farming in ...