Abstract Given finite configurations $P_1, \dots , P_n \subset \mathbb {R}^d$ let us denote by $\mathbf {m}_{\mathbb {R}^d}(P_1, P_n)$ the maximum density a set $A \subseteq can have without containing congruent copies of any $P_i$ . We will initiate study this geometrical parameter, called independence considered configurations, and give several results we believe are interesting. For instance...

In this paper, we investigate the role of square functions defined for a d-tuple commuting Ritt operators $$(T_1,\ldots ,T_d)$$ acting on general Banach space X. Firstly, prove that if admits $$H^\infty $$ joint functional calculus, then it verifies various function estimates. Then study converse when every $$T_k$$ is R-Ritt operator. Under last hypothesis, and X K-convex space, show estimates ...

in this article, we consider the uniqueness of the difference monomials $f^{n}(z)f(z+c)$. suppose that $f(z)$ and $g(z)$ are transcendental meromorphic functions with finite order and $e_k(1, f^{n}(z)f(z+c))=e_k(1, g^{n}(z)g(z+c))$. then we prove that if one of the following holds (i) $n geq 14$ and $kgeq 3$, (ii) $n geq 16$ and $k=2$, (iii) $n geq 22$ and $k=1$, then $f(z)equiv t_1g(z)$ or $f(...

Background In-vitro gait simulations have great potential, allowing a systematic analysis of the foot function. However, it is important that the loading conditions are realistic i.e. physiologic ground reaction forces (GRF). In most experiments, in-vivo measured GRF can be imposed [1,2]. However in experimental designs that evaluate the effect of altered muscle forces on foot motion this is mo...

Methods Fifteen patients with midfoot arthritis aged between 20 and 60 years participated in the study. Foot function index (FFI) was assessed to evaluate pain before and after the walking activity. Lower leg muscle activity, GRF and gait cycle time during walking were measured under two conditions: “shoe only”, and “shoe with FCF insole”. Electromyography (EMG) activities of the tibialis anter...

The objective of this study was to correlate the effects of muscle force on the movement of the center of pressure (COP) for increased clinical utility of the COP measurement. Five fresh frozen cadaveric specimens were used to apply a 49 N sinusoidal muscle force to isolated or grouped extrinsic ankle muscles, and a constant ankle joint reaction force at different tibial positions. The muscle f...

Ground reaction force (GRF) measurements are commonly reported in bodyweight (BW) units. Division normalization of this type reduces the contribution of body size differences to the variance among subjects. Several researchers have noted that peak force measurements can remain significantly correlated with BW, even after normalization. Most recently, Wannop et al. [1] examined GRF components an...

This study investigated the relationship between front foot contact (FFC) ground reaction forces (GRF) during delivery stride, lower-limb strength, eccentric dexterity and power, ball release speed (BRS) among pace bowlers. Thirteen high-level male bowlers performed double single leg drop landings; isometric mid-thigh pull; countermovement jump; bowling (two-over spell measuring BRS FFC GRF). T...