We prove in the general setting of lower semicontinuous functions on Banach spaces the relation between the Rockafellar directional derivative and the mixed lower limit of the lower Dini derivatives. As a byproduct we derive the famous inclusions of tangent cones of closed sets in Banach spaces. The results are established using as principal tool multidirectional mean value inequalities [Aussel...

Abstract Previous work on soft-gluon resummation for direct photon production is extended to include additional subleading logarithmic terms through O(ααs) and some representative comparisons are made to experimental results from the E-706 and UA-6 Collaborations. The additional terms are small in magnitude, indicating good convergence properties to the level of accuracy calculated. The scale d...

Received: 15 November 2010, Accepted: 8 December 2010 Corresponding author: Ka Hee Yi Department of Internal Medicine, Korea Cancer Center Hospital, Korea Institute of Radiological & Medical Sciences, 215-4 Gongneung-dong, Nowon-gu, Seoul 139-706, Korea Tel: +82.2-970-1211, Fax: +82.2-970-2402, E-mail: [email protected] The Clinical Importance of Minimal Extrathyroid Extension on Tumor Recurrence...

ABSTRACT We present a sample of 706, z < 1.5 active galactic nuclei (AGNs) selected from optical photometric variability in three the Dark Energy Survey (DES) deep fields (E2, C3, and X3) over an area 4.64 deg2. construct light curves using difference imaging aperture photometry for resolved sources non-difference PSF unresolved sources, respectively, characterize significance. Our DES h...

' ~ e ~ a r t m e n t of Mechanical Engineering, The Hong Kong Polytechnic University, Hung Hom, Kowloon, Hong Kong E-mail: [email protected] 2Department of Industrial Engineering, Texas A & M University, College Station, T X 77843, USA E-mail: apley @ tamu.edu Department of Industrial Engineering, University of Wisconsin, Madison, Madison, W I 53 706, USA E-mail: [email protected] 4~epart...

We developed a sensitive nested polymerase chain reaction procedure for the Cryptosporidium oocyst wall protein (COWP) gene. Amplification and genotyping were successful in 95.2% of 1,680 fecal samples, 77.6% by the unnested and 17.6% by the nested COWP procedure. The COWP gene was amplified from 2,128 fecal samples: 71 from livestock animals and 2,057 from humans. This series included 706 case...