OBJECTIVE To examine the associations between lifestyle factors and active commuting to school in Spanish adolescents. DESIGN Cross-sectional study. Lifestyle factors (overall/extracurricular physical activity, television viewing, reading as a hobby, sleep duration, breakfast/fruit intake, smoking and alcohol intake) as well as mode and duration of commuting to school were self-reported. Acti...

Abstract We provide an approach for compiling quantum simulation circuits that appear in Trotter, qDRIFT and multi-product formulas to Clifford non-Clifford operations can reduce the number of operations. The total gates, especially CNOT, many cases. show it is possible implement exponentiated sum commuting Paulis with at most m (controlled)-rotation where distinct non-zero eigenvalues (ignorin...

We propose a generalization of the Wasserstein distance order 1 to quantum spin systems on lattice $\mathbb{Z}^d$, which we call specific $W_1$ distance. The proposal is based for qudits [De Palma et al., IEEE Trans. Inf. Theory 67, 6627 (2021)] and recovers Ornstein's $\bar{d}$-distance states whose marginal any finite number spins are diagonal in canonical basis. also Lipschitz constant inter...

Let g be a classical Lie algebra, i.e., either gl n , sp n , or son and let e be a nilpotent element of g. We study various properties of centralisers ge. The first four sections deal with rather elementary questions, like the centre of ge, commuting varieties associatedwith ge, or centralisers of commuting pairs. The second half of the paper addresses problems related to different Poisson stru...

Suppose n is a fixed positive integer. We introduce the relative n-th non-commuting graph ΓH,G, associated to the nonabelian subgroup H of group G. The vertex set is G \ C H,G in which C H,G = {x ∈ G : [x, y] = 1 and [x, y] = 1 for all y ∈ H}. Moreover, {x, y} is an edge if x or y belong to H and xy 6= yx or xy 6= yx. In fact, the relative n-th commutativity degree, Pn(H,G) the probability that...

As a generalization of fuzzy sets , Atanassov [14] introduced and studied the concept of intuitionistic fuzzy sets park[11] using the idea of intuitionistic fuzzy sets defined the notion of intuionistic fuzzy metric spaces with the help of continuous t-norm and continuous t co-norm as a generalization of fuzzy metric space due to George & veeramani [6] had showed that every metric induces an in...

BACKGROUND Commuting to work is thought to have a negative impact on employee health. We tested the association of work commute and different variables of health in German industrial employees. METHODS Self-rated variables of an industrial cohort (n = 3805; 78.9 % male) including absenteeism, presenteeism and indices reflecting stress and well-being were assessed by a questionnaire. Fasting b...

In this paper we introduce and study a family An(q) of abelian subgroups of GLn(q) covering every element of GLn(q). We show that An(q) contains all the centralizers of cyclic matrices and equality holds if q > n. For q > 2, we obtain an infinite product expression for a probabilistic generating function for |An(q)|. This leads to upper and lower bounds which show in particular that c1q −n ≤ |A...

OBJECTIVE Quantify the impact of weather conditions on individual decisions to commute to work by bicycle among a diverse panel of adults who commute ≥2 miles each way. METHOD Working adults (n=163) in a northern U.S. state reported transportation mode for four seven-day periods in 2009-2010 that maximized seasonal weather variations. Personal characteristics, trip to work distances, and comm...