In the paper two variants of a combinatorial problem for the set F n q of sequences of length n over the alphabet Fq = {0, 1, .., q − 1} are considered, with some applications. The original problem was the following: for a given word w ∈ F n q , what is the smallest integer k such that we can reconstruct w if we know all of its subwords of length k. This problem was solved by Lothaire [8] . We ...

In the paper two variants of a combinatorial problem for the set F q of sequences of length n over the alphabet Fq = {0, 1, .., q − 1} are considered, with some applications. The original problem was the following: what is the smallest k such that every word v ∈ F q is uniquely determined by the set of its subwords of length up to k. This problem was solved by Lothaire [1]. We consider the foll...

We call a comb a map f : I → [0,∞), where I is a compact interval, such that {f ≥ ε} is finite for any ε. A comb induces a (pseudo)-distance d̄f on {f = 0} defined by d̄f (s, t) = max(s∧t,s∨t) f . We describe the completion Ī of {f = 0} for this metric, which is a compact ultrametric space called comb metric space. Conversely, we prove that any compact, ultrametric space (U, d) without isolated p...

Due to enormous applications of metal oxide nanoparticles in research and health-related applications, metal oxide nanoparticles are increasingly being developed through cheaper and more user-friendly approaches. We have formulated a simple route to synthesize zinc oxide nanoparticles (ZNPs) by a sol-gel method at near-room temperatures 25°C, 35°C, 55°C, and 75°C. The results are analyzed by X-...

Zinc (II) complex, [Zn(25-MBTSC)2I2] (1), where (25-MBTSC = (E)-2-(2,5-dimethoxybenzaldehyde) thiosemicarbazone, has been synthesized from the reaction of ZnI2 with 25-MBTSC in methanol as solvent at 25 ºC. It was characterized by elemental analysis (CHN) and is confirmed by single-crystal X-ray diffraction analysis. The complex 1 crystallizes in a triclinic system, with space group P-ī, having...

The topic of human relationships—be they positive and sympathetic, or negative and hostile—receives a great amount of attention in the Qur’ān. Human beings need to be aware of both their friends and their enemies in order to learn how to engage with both groups, how to make additional friends and defend themselves from harm caused by enemies, and, if possible, turn these enemies into friends. T...

Abstract
 This study aims to determine the difference between Fusha and Amiyah languages in Omar Benhidi's syiir Zajal by using contrastive analysis on two aspects of language, namely phonological morphological aspects. research is a qualitative descriptive study. The primary sources data used are three poetries his YouTube channel entitled as-Shahaab, as-Siiruur Baaridul Kattaf. collectio...