Given a vector u and a certain subset K of a real vector space E, the problem of l(infinity)-approximation involves determining an element;u in K nearest to u in the sense of the l(infinity)-error norm. The subdominant u * of u is the upper bound (if it exists) of the set {xinK : x precedesu} (we let x precedesy if all coordinates of x are smaller than or equal to the corresponding coordinates of y). We present general conditions on K under which a simple relationship between the subdominant of u and a best l(infinity)-approximation holds.
View Article and Find Full Text PDFIn order to study the status of the ligamentous-muscular system of the knee joint in patients with osteoarthrosis using functional roentgenological method hypermobility of the knee joint was determined. Hypermobility of the joint was observed even in the early stage of osteoarthrosis which progressed with the development of the disease.
View Article and Find Full Text PDFVestn Rentgenol Radiol
September 1980