in this note we characterize polynomial numerical hulls of matrices $a in m_n$ such that$a^2$ is hermitian. also, we consider normal matrices $a in m_n$ whose $k^{th}$ power are semidefinite. for such matriceswe show that $v^k(a)=sigma(a)$.

background:  the glenohumeral joint becomes dislocated more than any other major joint because it maintains a wide range of motion and its stability is inherently weak. the most common complication following acute initial shoulder dislocation is recurrent dislocation or chronic instability. imbalance of strength and range of motion in individuals with anterior dislocation can be a contributing ...

in this paper, we introduce the notions of c-numerical range and c-spectrum of matrix polynomials. some algebraic and geometrical properties are investigated. we also study the relationship between the c-numerical range of a matrix polynomial and the joint c-numerical range of its coefficients.

BACKGROUND Generalized joint laxity has been linked to ligamentous injuries such as anterior cruciate ligament tear and ankle sprain. PURPOSE/HYPOTHESIS The purpose of this study was to investigate generalized joint laxity and incidence of ligament injuries in high school-aged female volleyball players. It was hypothesized that volleyball players with a past history of sprains would have incr...

Much interest has been focused on generalized joint hypermobility in recent years with particular reference to its possible adverse sequelae. Though a feature of many hereditary disorders of connective tissue (listed in Table I), generalized joint laxity may occur apparently in the absence ofother abnormalities and probably represents the upper end of a spectrum of the range of normal joint mob...

CONTEXT Little is known about the relationship among sex, generalized joint hypermobility, and glenohumeral joint instability. OBJECTIVE To examine the relationship among sex, generalized joint hypermobility scores, and a history of glenohumeral joint instability within a young, physically active cohort and to describe the incidence of generalized joint hypermobility within this population. ...

background: generalized joint hyper mobility predisposes some individuals to a wide variety of musculoskeletal complaints. given the critical role of scapular position in function of shoulder, the aim of this study was to compare scapular position between persons with and without general joint hyper mobility. methods: by nonprobability sampling 30 hyper mobile persons at average of 22.86 ±2.77 ...

In this paper, we discuss some properties of joint spectral {radius(jsr)} and  generalized spectral radius(gsr)  for a finite set of upper triangular matrices with entries in a Banach algebra and represent relation between geometric and joint/generalized spectral radius. Some of these are in scalar matrices, but  some are different. For example for a bounded set of scalar matrices,$Sigma$, $r_*...

Generalized joint laxity is a genetically determined component of overall joint flexibility. The incidence of joint laxity in the overall population is approximately 5% to 20%, and its prevalence is higher in females. Recently it was noticed that individuals with generalized joint laxity are not only prone to anterior cruciate ligament injuries but also have inferior results after a reconstruct...