We construct N = 2 super-W n+1 strings and obtain the complete physical spectrum, for arbitrary n ≥ 2. We also derive more general realisations of the super-W n+1 algebras in terms of k commuting N = 2 super energy-momentum tensors and n − k pairs of complex superfields, with 0 ≤ k ≤ [ n+1 2 ].

Active commuting to school increases children's daily physical activity. The built environment is associated with children's physical activity levels in cross-sectional studies. This study examined the role of the built environment on the outcomes of a "walking school bus" study. Geographical information systems was used to map out and compare the built environments around schools participating...

The paper explores the basic geometrical properties of the observables characterizing two-qubit systems by employing a novel projective ring geometric approach. After introducing the basic facts about quantum complementarity and maximal quantum entanglement in such systems, we demonstrate that the 15×15 multiplication table of the associated four-dimensional matrices exhibits a so-far-unnoticed...

The variety C(3, n) of commuting triples of n × n matrices over C is shown to be irreducible for n = 7. It had been proved that C(3, n) is reducible for n ≥ 30, but irreducible for n ≤ 6. Guralnick and Omladič have conjectured that it is reducible for n > 7.

the probability that the commutator of two group elements is equal to a given element has been introduced in literature few years ago. several authors have investigated this notion with methods of the representation theory and with combinatorial techniques. here we illustrate that a wider context may be considered and show some structural restrictions on the group.

The Lifting Problem for Commuting Subnormals (LPCS) asks for necessary and sufficient conditions for a pair of subnormal operators on Hilbert space to admit commuting normal extensions. We study LPCS within the class of commuting 2-variable weighted shifts T ≡ (T1, T2) with subnormal components T1 and T2, acting on the Hilbert space l (Z+) with canonical orthonormal basis {e(k1,k2)}k1,k2≥0 . Th...

We introduce a bijection between inequivalent minimal factorizations of the n-cycle (1 2 . . . n) into a product of smaller cycles of given length and trees of a certain structure. A factorization has the type α = (α2, α3, · · · ) if it has αj factors of length j. Inequivalent factorizations are defined up to reordering of commuting factors. A factorization is minimal if no factorizations of a ...

We investigate the role of symmetric quantum cloning machines (QCMs) in quantifying mutual incompatibility observables. Specifically, we identify a cloning-based measure whereby set observables maybe quantified terms how well uniform ensemble their eigenstates can be cloned via QCM. show that this new $\mathcal{Q}_{c}$ is {\it faithful} since it vanishes only for commuting prove an upper bound ...

ABSTRACT: Objective: To analyze the prevalence of physical inactivity and average time practice total activity by domains (leisure commuting), according to gender, age group schooling, between 2003 2015, in residents urban area city São Paulo. Methods: Data from Household Health Surveys Municipality Paulo (2003: n = 2,514; 2015: 4,043). The International Physical Activity Questionnaire was used...

BACKGROUND The current political agenda aims to promote active environments and physical activity while commuting to work, but research on it has provided mixed results. This study examines whether the proximity of green space and people's residence in different travel-related urban zones contributes to commuting physical activity. METHODS Population-based cross-sectional health examination s...