The NAHE–set, that underlies the realistic free fermionic models, corresponds to Z2 × Z2 orbifold at an enhanced symmetry point, with (h11, h21) = (27, 3). Alternatively, a manifold with the same data is obtained by starting with a Z2 × Z2 orbifold at a generic point on the lattice and adding a freely acting Z2 involution. In this paper we study type I orientifolds on the manifolds that underly...

Let G be a bounded domain in the complex plane, let f be analytic in G and continuous in G, and let μ be a majorant, that is, a non-negative non-decreasing function defined for t ≥ 0 such that μ(2t) ≤ 2μ(t) for all t ≥ 0. Suppose that z1 ∈ ∂G and that |f(z1) − f(z2)| ≤ μ(|z1 − z2|) for all z2 ∈ ∂G. We show that then |f(z1)−f(z2)| ≤ Cμ(|z1−z2|) for all z2 ∈ G where C = 3456. If the assumption is...

Jagung ungu umumnya mempunyai kandungan antosianin yang berperan sebagai antioksidan. Perakitan tanaman jagung harus dilakukan untuk mendapatkan hasil produksi tinggi. Persilangan bersari bebas (F3) diharapkan diperoleh berproduksi tinggi pada, seleksi generasi ke-3. Penelitian dilaksanakan pada bulan Desember 2020 sampai Mei 2021. ini di Kebun dan Percobaan (KP2) Universitas Bangka Belitung. m...

We use a technique based on matroids to construct two nonzero patterns Z1 and Z2 such that the minimum rank of matrices described by Z1 is less over the complex numbers than over the real numbers, and the minimum rank of matrices described by Z2 is less over the real numbers than over the rational numbers. The latter example provides a counterexample to a conjecture in [AHKLR] about rational re...

We construct some nonsmoothable actions of Z2×Z2 on spin four-manifolds by using an equivariant version Furuta's 10/8-inequality. The examples satisfy following property: any proper subgroup is smoothable for smooth structure.

The glycosyl-phosphatidylinositol (GPI)-anchored F3 molecule, a member of the Ig superfamily made up of Ig and FNIII-like domains, is involved in cell-cell adhesion, neuronal pathfinding and fasciculation. Little is known about the mechanism(s) that governs the F3-mediated cell-cell recognition. In particular, it is not known whether F3 transduces signals across the membrane. Here we show that ...

We investigate the perturbative and non-perturbative correspondence of a class of four dimensional dual string constructions with N = 4 and N = 2 supersymmetry, obtained as Z2 or Z2 × Z2 orbifolds of the type II, heterotic and type I string. In particular, we discuss the heterotic and type I dual of all the symmetric Z2 × Z2 orbifolds of the type II string, classified in Ref. [1]. † Research su...