*Correspondence: [email protected] Department of Mathematics, Nevşehir Hacı Bektaş Veli University, Nevşehir, Turkey 1 Correction In the publication of this article [1], there are a few errors. (1) Page 4, line 4: The statement 1 (ab)m+1 [α 2m+1 + β2m+1 – (–1)m] – 2 should instead read: 1 (ab)m+1 [α 2m+1 + β2m+1] + (–1)m – 2. (2) Page 4, line 6: The statement ( 1 a )lmlm+1 = 1 (ab)m+1 [α ...

At present, people around the world are looking for more natural alternatives treating all kinds of health conditions as well improving general wellbeing. As such, consumption herbal supplements has increased globally, generating billions in revenue. The use these products is firmly rooted traditional medicinal plants disease prevention and treatment, practiced several cultures. Although recogn...

Class I major histocompatibility complex molecules require both beta 2-microglobulin (beta 2m) and peptide for efficient intracellular transport. With the exception of H-2Db and Ld, class I heavy chains have not been detectable at the surface of cells lacking beta 2m. We show that properly conformed class I heavy chains can be detected in a terminally glycosylated form indicative of cell surfac...

In this paper, we establish the following result. Theorem: Ai, the number of codewords of weight i in the secondorder binary Reed-Muller code of length 2m, is given by Ai = 0 unless i = 2m-1 or 2m-1 f 2m+-i, for some j, 0 < j < [m/2], A0 = A2m =l,and Azmj(f+l) (2” 1>(2+l 1) 1*zsn-,-i = 2 1 4-l I ‘(2m-2 i 1)(2”-3 1) . 42 1 . . . 1 (2m-2i+2 _ 1)(2m-Zi+l _ 1) . 1 4’ 1 I , 1 I j I [M4 INTRODUCTION ...

T etraphenylphosphonium tetrathiom etalates, (PPh4)^MS4 (M = M o, W), react with M oO ,(acac)2 (2:1) in boiling acetonitrile in redox processes to give mixed-crystal com pounds (as expected) o f the approxim ate com position (P P h ^ M o ^ O , 9Sg,] (1) and (PPh4)2[Moj 4W, 60 , 3Sg 3] (2), respectively. 1 and 2 were characterized by single crystal X-ray structure analyses. The various anions o ...

The low density lipoprotein receptor-related protein/alpha 2-macroglobulin receptor (LRP/alpha 2MR) binds and internalizes several plasma proteins including tissue-type plasminogen activator (t-PA) and alpha 2-macroglobulin-protease complexes (alpha 2M*). A 39-kDa protein that copurifies with LRP/alpha 2MR inhibits the binding and uptake of ligands by LRP/alpha 2MR, including t-PA and alpha 2M*...

We show that the identity component Diff(M)0 of the group of Cr diffeomorphisms of a compact (2m)-dimensional manifold M2m (1 ≤ r ≤ ∞, r = 2m + 1) is uniformly perfect for 2m ≥ 6, i.e., any element of Diff(M)0 can be written as a product of a bounded number of commutators. It is also shown that for a compact connected manifold M2m (2m ≥ 6), the identity component Diff(M)0 of the group of Cr dif...

Recently, Z. Sun proved that 2 (2m + 1) ( 2m m ) | ( 6m 3m )( 3m m ) for m ∈ Z>0. In this paper, we consider a generalization of this result by defining bn,k = 2k (n + 2k − 2)!! (n− 2)!! k! . In this notation, Sun’s result may be expressed as 2 (2m + 1) | b(2m+1),(2m+1)−1 for m ∈ Z>0. In this paper, we prove that 2n | bn,un±2r for n ∈ Z>0 and u, r ∈ Z>0 with un ± 2r > 0. In addition, we prove a...