We prove the q-aspect analogue of Heath-Brown's result on twelfth power moment Riemann zeta function for Dirichlet L-functions to odd prime moduli. Our results rely p-adic method stationary phase sums products and complement Nunes' bound smooth square-free

We present a new proof of the version of the Shauder-Tychonov theorem provided by Coppel in Stability and Asymptotic Behavior of Differential Equations, Heath Mathematical Monographs, Boston (1965). Our alternative proof mainly relies on the Schauder fixed point theorem.

Received April 9, 1963 We have previously reported (Heath and Ghalambor, 1963) the occurrence of 2-keto-3-deoxy-octonate @DO) as a glycosidically-bound constituent of cell wall lipopolysaccharide (LPS) of Rscherichia coli 0111-B& and the enzymatic synthesis of CMP-RDO (Ghalambor and Heath, 1963). This report presents evidence for the chemical synthesis of KDO and its enzymatic cleavage (RDO-ald...

The knee is a diarthrodial joint whose primary function is to provide a wide range of motion while supporting potentially large loads during locomotion. To perform this task over a lifetime, the joint must be stabilized to prevent abnormal motion. Ligaments within the joint capsule span from bone to bone to limit the amount of relative motion between articulating surfaces. Injuries to these lig...