background: little is known about the influence of habitual participation in physical exercise and diet on upper-extremity physical function in older adults. to assess the relationship of general physical exercise and diet to upper-extremity physical function and pain intensity in older adults.   methods: a cohort of 111 patients 50 or older completed a sociodemographic survey, the rapid assess...

Given f ∈ Z[x1, . . . , xn], we compute the density of x ∈ Z such that f(x) is squarefree, assuming the abc conjecture. Given f, g ∈ Z[x1, . . . , xn], we compute unconditionally the density of x ∈ Z such that gcd(f(x), g(x)) = 1. Function field analogues of both results are proved unconditionally. Finally, assuming the abc conjecture, given f ∈ Z[x], we estimate the size of the image of f({1, ...

Let X be a locally compact Hausdorff space with n proper continuous self maps σi : X → X for 1 ≤ i ≤ n. To this we associate two conjugacy operator algebras which emerge as the natural candidates for the universal algebra of the system, the tensor algebra A(X, τ) and the semicrossed product C0(X)×τ Fn . We develop the necessary dilation theory for both models. In particular, we exhibit an expli...

A Takagi-Sugeno (T-S) fuzzy model is used to express non-linear dynamic systems with time-delay in this paper, and an on-line identi® cation algorithm is presented regarding its parameters and structures. A multivariable fuzzy generalized predictive control approach is proposed based on the identi® ed fuzzy model by means of the generalized predictive control principle. The closed-loop stabilit...