A matroid M is a finite se t M of e le me nts with a famil y of subsets, called independent, such th a t (I) every subset of an independe nt se t is independent, and (2) for e ve ry subset A of M , all maximal indepe nde nt s ubsets of A have the sa me cardinality , called the rank r\A) of A. It is proved that a matroid can be partitioned into as few as k sets , each inde pende nt , if and only...

zation for actuaries of all specialties within the United States. The Academy is nonpartisan and assists the public po l i cy p rocess by providing indepe n d e n t, a ct u a rial information to elected officials and regulators. This issue brief is intended to bring the actuarial perspective into the public discussion of the issues and was pre p a red by the Academy Work Group on Medicare Expan...

nloaded kground: The zinc finger transcription factor Krüppel-like factor 4 (KLF4) regulates numerous logic processes, including proliferation, differentiation, and development. Studies also showed that is involved in tumorigenesis and somatic cell reprogramming. Here, we aimed to assess whether is a prognostic indicator for colon cancer. thods: Levels of KLF4 were measured by immunohistochemic...

ownloade kground: Breath analysis became promising for noninvasive diagnoses of cancer with sophisticated ometry technology introduced. This study aimed to screen volatile markers for hepatocellular oma (HCC). thods: Breath samples were collected from 30 HCC patients who were comorbid with type B hepatitis rrhosis and from 27 hepatocirrhosis patients and 36 healthy persons, both taken as contro...

Several nontrivial applications of subword trees have been developed since their first appearance. Some stich applications depart considerably from the original motivations. A brief account of them is attempted here. INTRODUcnON Subword trees fit in the general subject of digitaEearch indexes [KNj. In fact their earliest conception is somewhat implicit in Morrison"s 'PATRICIA' tries [MOl. Sever...