We construct families of hyperelliptic curves over Q of arbitrary genus g with (at least) g integral elements in K2. We also verify the Beilinson conjectures about K2 numerically for several curves with g = 2, 3, 4 and 5. The first few sections of the paper also provide an elementary introduction to the Beilinson conjectures for K2 of curves.

UNLABELLED Endogenous retroviruses (ERVs) are the remnants of retroviral infection of ancestral germ cells. Mutations introduced into ERVs halt the production of infectious agents, but their effects on the function of retroviral proteins are not fully understood. Retroviral envelope glycoproteins (Envs) are utilized in membrane fusion during viral entry, and we recently identified intact coding...

Abstract We present mass and radius measurements of K2-79b K2-222b, two transiting exoplanets orbiting active G-type stars observed with HARPS-N K2. Their respective 10.99 day 15.39 orbital periods fall near signals induced by stellar magnetic activity. The might therefore interfere lead to an inaccurate estimate exoplanet mass. a method mitigate these effects when radial velocity (RV) activity...

Bayesian learning of belief networks (BLN) is a method for automatically constructing belief networks (BNs) from data using search and Bayesian scoring techniques. K2 is a particular iustantiation of the method that implements a greedy search strategy. To evaluate the accuracy of K2, we randomly generated a number of BNs and for each of those we simulated data sets. K2 was then used to induce t...

Glucocorticoid has been reported to decrease blood vessel number and harm the blood supply in the femoral head, which is recognized to be an important mechanism of glucocorticoid-induced osteonecrosis of the femoral head (ONFH). To prevent glucocorticoid-induced ONFH, medication that promotes both bone formation and angiogenesis would be ideal. Vitamin K2 has been revealed to play an important ...

The effect of insulin-like growth factor-I (IGF-I) and 2-methyl-3-all-trans-tetraphenyl-1,4-naphtoquinone (vitamin K2) on the synthesis of osteocalcin containing gamma-carboxyglutamic acid (Gla) residues which is the physiologically relevant form in bone metabolism was studied in cultured human osteoblast-like (MG-63) cells. Both IGF-I and vitamin K2 stimulated 1,25-dihydroxyvitamin D3 (1,25(OH...

This paper aims to show that the amenability of K1 ×K2 is equivalent to the following condition: “If φ is a continuous positive definite function defined on K1 ×K2 and φ ≥ 0 then the constant function 1K1×K2 belongs to the spectrum of φ”, which K1 and K2 are locally compact hypergroups as defined by R. Jewett [1], with convolutions ∗1, ∗2 respectively.Our study deals with the cases of exponenti...

This article covers in vitro, in vivo, and human data on the positive effect of vitamin K2 on osteoporosis. Data is available on vitamin K2 for osteoporosis caused by a number of conditions, including postmenopausal osteoporosis, Parkinson's disease, biliary cirrhosis, stroke, and drug-induced osteoporosis. The activity of vitamin K2 involves both an increase in the bone-building process and a ...