This study introduce a new type of closed sets in topology called Generalized h-closed (briefly, gh-closed) define as follow: E ⊆ χ be gh-closed set if CLh (E)⊆ U whenever and is open (χ,τ). The relation between other classes ( h-closed, g-closed, g -closed, g-closed αg-closed) are studied. Also, the notion gh-continuous mapping on topological space some properties proved. Finally, separation a...

In a toy model of gauge and gravitational interactions in D ≥ 4 dimensions, endowed with an invariant UV cut-off Λ, and containing a large number N of non-self-interacting matter species, the physical gauge and gravitational couplings at the cut-off, αg ≡ gΛ and αG ≡ GNΛ, are shown to be bounded by appropriate powers of 1 N . This implies that the infinite-bare-coupling (so-called compositeness...

Bacterial pathogens subvert signalling pathways to promote invasion and/or replication into the host. LegK1-4 proteins are eukaryotic-like serine/threonine kinases that are translocated by the Dot/Icm type IV secretion system (T4SS) of several Legionella pneumophila strains. We present the crystal structures of an active fragment of the LegK4 protein in apo and substrate-bound states. The struc...

The global holomorphic invariant αG(M) introduced by Tian [6], Tian and Yau [5] is closely related to the existence of Kähler-Einstein metrics. In his solution of the Calabi conjecture, Yau [11] proved the existence of a KählerEinstein metric on compact Kähler manifolds with nonpositive first Chern class. Kähler-Einstein metrics do not always exist in the case when the first Chern class is posi...

The global holomorphic invariant αG(M) introduced by Tian[6], Tian and Yau[5] is closely related to the existence of Kähler-Einstein metrics. In his solution of the Calabi conjecture, Yau[11] proved the existence of a KählerEinstein metric on compact Kähler manifolds with nonpositive first Chern class. Kähler-Einstein metrics do not always exist in the case when the first Chern class is positiv...

We consider the problem of counting simultaneous conjugacy classes n-tuples in a finite group G. Let αG,n denote number n-tuples, and βG,n commuting study generating functions AG(t)=∑n≥0αG,ntn, BG(t)=∑n≥0βG,ntn, which are rational t. show that AG(t) determines is completely determined by class equation prove normalized AG(t/|G|) BG(t/|G|) invariants isoclinism families. compute exponential grow...

This paper provides an equation to entangle all known fundamental forces by employing their coupling constants, i.e., strong (αs), electromagnetic (α), weak (αw), and gravitational (αg) interaction values. The constant formulation is further indicative of many other with significantly weaker As example, the fifth force, Kashi’s Force, found have a 10-1446, which smaller than smallest approximat...

An accurate test for insulin resistance can delay or prevent the development of Type 2 diabetes and its complications. The current gold standard test, CLAMP, is too labor intensive to be used in general practice. A recently developed dynamic insulin sensitivity test, DIST, uses a glucose-insulin-C-peptide model to calculate model-based insulin sensitivity, SI . Preliminary results show good cor...

During millions of years of coevolution with their hosts, cytomegaloviruses (CMVs) have succeeded in adapting to overcome host-specific immune defenses, including the protein kinase R (PKR) pathway. Consequently, these adaptations may also contribute to the inability of CMVs to cross species barriers. Here, we provide evidence that the evolutionary arms race between the antiviral factor PKR and...

This note can be seen as an appendix of a recent paper of Kim [Kim15]. We show that the discrete logarithm problem in fields FQ where Q = p with p of medium size and n having a factor of the good size (specified in the article) has a complexity of LQ(1/3, 3 √ 48/9). We propose here a variant of NFS which combines exTNFS with the Conjugation method of polynomial selection. Let Q = p where n = ηk...