BACKGROUND In vitro maturation (IVM) of immature oocytes collected from ovary has been proposed for fertility preservation. In addition, quality of oocytes post IVM is one of the factors determining its developmental competence. By using the non-invasive Polscope system, both meiotic spindle (MS) and zona pellucida (ZP) can be assessed in living oocytes. OBJECTIVE The aim was to investigate t...

Let G(R) be the unit graph associated with a ring R. p prime number and let R finite of order or p2 one rings Zp,Zp2,GF(p2),Zp(+)Zp Zp×Zp. We determine geodetic g(G(R)) each such ring.

We show that the simply-connected four-manifolds which admit locally linear, homologically trivial Zp ×Zp actions are homeomorphic to connected sums of ±CP 2 and S × S (with one exception: pseudofree Z3 × Z3 actions on the Chern manifold), and also establish an equivariant decomposition theorem. This generalizes results from a 1970 paper by Orlik and Raymond about torus actions, and complements...

Let p be a prime and let φ ∈ Zp[x1, x2, . . . , xp] be a symmetric polynomial, where Zp is the field of p elements. A sequence T in Zp of length p is called a φ-zero sequence if φ(T ) = 0; a sequence in Zp is called a φ-zero free sequence if it does not contain any φ-zero subsequence. Define g(φ, Zp) to be the smallest integer l such that every sequence in Zp of length l contains a φ-zero seque...

In their recent article, Gutiérrez et al. (1) identified three Epstein–Barr virus (EBV) variants in the BZLF1 promoter Zp (Zp-P [considered the prototypical sequence], Zp-V3, and Zp-V4) and postulated that these might result in different lytic potentials and be differentially expressed among individuals with nonmalignant and malignant diseases. Hong Kong and Southern China are considered to be ...

The zona pellucida (ZP) domain is a bipartite protein structural element comprised of ZP-N and ZP-C regions. Most notable for its ability to mediate protein polymerization, many ZP proteins polymerize and assemble into long fibrils that form specialized extracellular matrices. Other ZP proteins (namely, betaglycan and endoglin) do not polymerize but serve as important membrane coreceptors for l...

We prove that for a prime number p greater than 6000, the Olson's constant for the group Zp ⊕ Zp is given by Ol(Zp ⊕ Zp) = p − 1 + Ol(Zp).

We prove that for a prime number p greater than 6000, the Olson’s constant for the group Zp ⊕ Zp is given by Ol(Zp ⊕ Zp) = p − 1 + Ol(Zp).