We develop the rst explicit procedures for exact envy-free chore division for 4 or more players. We also give a simple 3-person procedure. Our 4-person moving-knife scheme and n-person discrete algorithm are accomplished by exploiting a notion of \irrevocable advantage" for chores, and are motivated by similar solutions for cake-cutting by Brams, Taylor, and Zwicker. We discuss the diierences b...

We show that the n-division points of all rational hypocycloids are constructible with an unmarked straightedge and compass for all integers n, given a pre-drawn hypocycloid.We also consider the question of constructibility of n-division points of hypocycloids without a pre-drawn hypocycloid in the case of a tricuspoid, concluding that only the 1, 2, 3, and 6-division points of a tricuspoid are...

1 Division of Pulmonary and Critical Care Medicine, University Hospitals of Cleveland, Case Western Reserve University, Cleveland, OH. 2 Division of Sleep Medicine, Department of Medicine, Brigham and Women’s Hospital, Boston, MA. 3 Harvard Medical School, Boston, MA. 4 Division of Pulmonary and Critical Care Medicine, Boston University and VA Boston Healthcare System, Boston, MA. 5 Channing La...

1 Sanquin Research, and Landsteiner Laboratory, Academic Medical Center, University of Amsterdam, The Netherlands 2 Department of Experimental Immunology, Academic Medical Center, Amsterdam 3 Division of Pediatric Neurology, Centre Hospitalier de Luxembourg, Luxembourg 4 Division of Pediatric Endocrinology, Centre Hospitalier de Luxembourg, Luxembourg 5 Division of Cell Biology, Dutch Cancer In...

1 National Institute of Child Health and Human Development, Jerusalem, Israel 2 Health Services, Division for Intellectual and Developmental Disabilities, Ministry of Social Affairs and Social Services, Jerusalem, Israel 3 Division of Pediatrics, Hadassah Hebrew University Medical Center, Jerusalem, Israel 4 Division of Adolescent Medicine, Kentucky Children’s Hospital, University of Kentucky, ...

Mammalian oocyte meiotic maturation involves oocyte polarization and a unique asymmetric division, but until now, the underlying mechanisms have been poorly understood. Arp2/3 complex has been shown to regulate actin nucleation and is widely involved in a diverse range of processes such as cell locomotion, phagocytosis and the establishment of cell polarity. Whether Arp2/3 complex participates ...

1. Anhui Biomedical Institute, Anhui Medical University, Hefei, China 2. Division of Endocrinology, the Second Hospital, Harbin Medical University, Harbin, China 3. Division of Endocrinology, the First Hospital, Harbin Medical University, Harbin, China 4. Tianjin Medical University Metabolic Hospital, Tianjin, China 5. Division of Endocrinology, Tongren Hospital, Capital Medical University, Bei...

Asymmetric cell divisions require the establishment of an axis of polarity, which is subsequently communicated to downstream events. During the asymmetric cell division of the P(1) blastomere in C. elegans, establishment of polarity depends on the establishment of anterior and posterior cortical domains, defined by the localization of the PAR proteins, followed by the orientation of the mitotic...

1. Division of Infectious Disease, University of Pennsylvania, Philadelphia, Pennsylvania; 2. University of Botswana Medical School, University of Botswana, Gaborone, Botswana; 3. Botswana-UPenn Partnership, Gaborone, Botswana; 4. Division of Infectious Diseases, University of Melbourne, Melbourne, Australia; 5. University of California, Los Angeles, Los Angeles, California; 6. University of We...

Division of Pharmacology, Faculty of Medicine and Health Sciences, University of Stellenbosch, Cape Town, South Africa (P.S.F., B.R.) Division of Drug Metabolism and Pharmacokinetics, Novartis Institute of Biomedical Research, Basel, Switzerland (H.G., H.S., A.J.) Synexa Life Sciences, Montague Gardens, Cape Town, South Africa (P.J.D.) Division of Medical Microbiology, Faculty of Medicine and H...