In this paper, we compute the number of fuzzy subgroups of some classes of non-abeilan groups. Explicit formulas are givenfor dihedral groups $D_{2n}$, quasi-dihedral groups $QD_{2^n}$, generalized quaternion groups $Q_{4n}$ and modular $p$-groups $M_{p^n}$.

let d be a symmetric 2-(121, 16, 2) design with the automorphism group of aut(d). in this paper the order of automorphism of prime order of aut(d) is studied, and some results are obtained about the number of fixed points of these automorphisms. also we will show that |aut(d)|=2p 3q 5r 7s 11t 13u, where p, q, r, s, t and u are non-negative integers such that r, s, t, u ? 1. in addition we prese...

We determined the free fraction of 25-dihydroxyvitamin D (25OHD) in the serum of subjects with clinical evidence of liver disease and correlated these measurements to the levels of vitamin D binding protein and albumin. These subjects when compared to normal individuals had lower total 25OHD levels, higher percent free 25OHD levels, but equivalent free 25OHD levels. These subjects also had redu...

Hip fracture has increasingly become a social and economic burden. The relationship between serum 25-hydroxyvitamin D levels and the risk of hip fracture reported by previous studies remains controversial. We searched Pubmed and Embase to identify studies reporting the relationship between serum 25-hydroxyvitamin D levels and risk of hip fracture. Fifteen prospective cohort studies with a total...

BACKGROUND Vitamin D deficiency has been associated with a multitude of diseases, ranging from fractures to cancer. Nearly 99% of vitamin D metabolites are bound to proteins, altering the relationship between concentration and activity. METHODS & RESULTS Normalized concentrations were calculated and validated using published data regarding the correlation of 25-hydroxyvitamin D with bone mine...

Evidence • A systematic review1 on 25-hydroxyvitamin D (25[OH] D) suggests levels greater than 75 nmol/L “are not consistently associated with increased benefit”; greater than 50 nmol/L are “practically sufficient for all persons”; between 30 and 50 nmol/L “places some, but not all, persons at risk for inadequacy”; and less than 30 nmol/L puts one “at risk relative to bone health.” • No RCTs in...