Elasticity typically refers to a material's ability store energy, whereas viscosity tendency dissipate it. In this review, we discuss fluids and solids for which is not the case. These materials display additional linear response coefficients known as odd elasticity. We first introduce elasticity from continuum perspective, with an emphasis on their rich phenomenology, including transverse resp...

In order to improve the efficiency of elliptic curve multiplication methods, extended and composite elliptic curve operations such as nP,mP+Q, where n>2and m?2, and repeated doublings were proposed. These operations have lower complexity, in terms of field operations, than that for classical methods. Moreover, they are supposed to replace the classical methods. In this paper, repeated doublings...

Introduction: Periodontal disease is a common chronic inflammatory disease, considered as a primary cause of tooth loss due to the destruction of periodontal tissues. Various studies have shown that vitamin D has anti-inflammatory and anti-microbial properties and plays a significant role in musculoskeletal health. There is strong evidence that vitamin D deficiency may increase the likelihood o...

As a fundamental property of nuclei, ground-state spin has always been hot topic in nuclear data and structure research. This paper extensively investigates the odd mass nuclei (odd-A nuclei) on nuclide chart using decision trees, including proton (odd-Z neutron (odd-N nuclei), trains prediction models for odd-Z odd-N respectively. In case randomly dividing training validation sets at ratio 75\...

We put the final piece into a puzzle first introduced by Bollobás, Erdős and Szemerédi in 1975. For arbitrary positive integers n and r we determine the largest integer ∆ = ∆(r, n), for which any r-partite graph with partite sets of size n and of maximum degree less than ∆ has an independent transversal. This value was known for all even r. Here we determine the value for odd r and find that ∆(...

INTRODUCTION An increased prevalence of rheumatological manifestations is recognised in diabetes and is a common source of disability. The relationship with other risk factors and glycaemic control is uncertain. We designed this study to find out the prevalence of rheumatological manifestations, association with various risk factors and to assess differences between type 1 and type 2 diabetes. ...

We investigate the following very simple load-balancing algorithm on the N-cycle (N even) which we call Odd-Even Transposition Balancing (OETB). The edges of the cycle are partitioned into two matchings canonically. A matching defines a single step, the two matchings form a single round. Processors connected by an edge of the matching perfectly balance their loads, and, if there is an excess to...

Trus paper is concerned with the average rUDDing time of Batcher's odd-even merge sort when implemented on a collection of processors. We consider the case where n, the size of the input, is an arbitrary multiple of the number p of processors used. We show that Batcher's odd-even merge (for two sorted lists of length n each) can be implemented to run in time O«nlp)(log(2 + p2 In))) on the avera...