Recently, it was proved that the index of an economy with incomplete real asset markets is typically +1 when the degree of incompleteness, which is defined as the difference between the number of states and the number of securities, is an even number. This paper considers the case where the degree of incompleteness is an odd number and proves that any odd number can be realized as the index of ...

S.M. Lee proposed the conjecture: for any n > 1 and any permutation f in S(n), the permutation graph P (Pn, f) is graceful. For any integer n > 1 and permutation f in S(n), we discuss the gracefulness of the permutation graph P (Pn, f) if f = ∏l−1 k=0(m + 2k, m + 2k + 1), and ∏l−1 k=0(m+4k, m+4k +2)(m+4k +1, m+4k +3) for any positive integers m and l.

http://dx.doi.org/10.1016/j.chb.2014.02.028 0747-5632/ 2014 Elsevier Ltd. All rights reserved. ⇑ Corresponding author. Tel.: +1 646 62

In this brief report, we analyze a generalized theory of massless scalar QED2 and show that, unlike the conventional scalar QED2, it is free from infrared divergence problems. The model is exactly soluble and may describe, in an 1+1 dimensional space-time, noninteracting spin-one tachyons.

Yu Zhang 1, Vijay P. Singh 1,2,* and Aaron R. Byrd 3 1 Department of Biological and Agricultural Engineering, Texas A&M University, College Station, TX 77840, USA; [email protected] 2 Zachry Department of Civil Engineering, Texas A&M University, College Station, TX 77843-2117, USA 3 Hydrologic Systems Branch, Coastal and Hydraulics Laboratory, Engineer Research Development Center, U.S. Arm...

conclusions our findings showed that hcv infection could lead to increased expression level of tlr7 mrna in peripheral blood cells of hcv infected samples. the viral load and genotypes of hcv did not affect the mrna expression levels of tlr2 and tlr7. background hepatitis c virus (hcv) is an important human pathogen affecting an estimated 120 – 170 million individuals in the world. toll-like re...

introduction: behcet's disease is a chronic disease with multisystem involvement characterized clinically by oral and genital aphthae, cutaneous lesions and ophthalmologic, neurologic and gastrointestinal manifestation. nervous system involvement occurs in 5.3 – 30% of patients, mostly in brain stem and basal ganglia. the common manifestations are pyramidal signs, central nervous plegia, p...

background: pattern recognition receptors (prrs) are the main sensors of pathogen and danger signals in innate immunity of which toll like receptors (tlrs) are the most studied ones. the contribution of prrs in cerebral inflammation induced by microbial infection, tissue damage and cancer has not extensively been addressed so far. glioma is the most common tumor of the central nervous system an...