Let G0 denote a compact semisimple Lie algebra and U a finite dimensional real G0 module. The vector space N0 = U ⊕ G0 admits a canonical 2-step nilpotent Lie algebra structure with [N0,N0] = G0 and an inner product 〈, 〉, unique up to scaling, for which the elements of G0 are skew symmetric derivations of N0. Let N0 denote the corresponding simply connected 2-step nilpotent Lie group with Lie a...

The reactions of the tetraphosphine ligand DAB-G0-(PPh2)4 (DAB = 1,4-diaminobutane; G0 = Generation 0) or the octaphosphine ligand DAB-G1-(PPh2)8 (G1 = Generation 1) with the gold precursor [AuCl(tht)] (tht =tetrahydrothiophene) and the corresponding 4-substituted benzenethiolate lead to the (phosphine)gold(I) thiolate complexes [Au4(S-C6H4-X)4[(DAB-G0-(PPh2)4]] (X = F (11), MeO (12), Me (13) a...

In this paper, we deal with the graph G0⊕G1 obtained from merging two graphs G0 and G1 with n vertices each by n pairwise nonadjacent edges joining vertices in G0 and vertices in G1. The main problems studied are how fault-panconnectivity and fault-pancyclicity of G0 and G1 are translated into fault-panconnectivity and fault-pancyclicity of G0⊕G1, respectively. Many interconnection networks suc...

Modeling the heat and carbon dioxide (CO2) exchanges in agroecosystems is critical for better understanding water cycling, improving crop production, even mitigating climate change, agricultural regions. While previous studies mainly focused on simulations of energy CO2 fluxes North China Plain, their corrections, driving forces East are less understood. In this study, dynamic variations were s...

Mechanical and structural properties of K8/K18 and vimentin intermediate filament (IF) networks have been investigated using bulk mechanical rheometry and optical microrheology including diffusing wave spectroscopy and multiple particle tracking. A high elastic modulus G0 at low protein concentration c, a weak concentration dependency of G0 (G0 ∼ c(0.5 ± 0.1)) and pronounced strain stiffening a...

The present study compares the use of high generation G3 and low generation G0 Polyamidoamine (PAMAM) dendrimers as drug carriers of naproxen (NAP), a poorly water soluble drug. Naproxen was conjugated to G3 in different ratios and to G0 in a 1:1 ratio via a diethylene glycol linker. A lauroyl chain (L), a lipophilic permeability enhancer, was attached to G3 and G0 prodrugs. The G3 and G0 conju...

Let G0 be a connected unipotent group over a finite field Fq, and let G = G0 ⊗Fq Fq, equipped with the Frobenius endomorphism Frq : G −→ G. For every character sheaf M on G such that Frq M ∼= M , we prove that M comes from an irreducible perverse sheaf M0 on G0 such that M0 is pure of weight 0 (as an `-adic complex) and for each integer n ≥ 1 the “trace of Frobenius” function tM0⊗FqFqn on G0(Fq...

Collapsible soils are unsaturated low-density that undergo abrupt settlement when flooded without any increase in the in-situ stress level. The first stage of site characterization is identifying collapsible soils, since these problematic soils. Seismic cone testing (SCPT) has been increasingly used for characterization, because it allows combining stratigraphic logging with maximum shear modul...

Introduction. The purpose of this paper is to compare homological properties of an analytic representation of a semisimple Lie group and of its Harish-Chandra module. Throughout the paper G0 denotes a connected semisimple Lie group with finite center. Let π be an admissible representation of G0 on a complete, locally convex Hausdorff topological vector space Mπ . Vectors in Mπ transforming fini...

This paper presents the first quantum computational characterization of the Graph Non-Isomorphism problem (GNI). We show that GNI is in a quantum non-deterministic polynomial-time class, i.e., quantum Merlin-Arthur game class (QMA) or quantum probabilistic NP (BQNP). In other words, given two graphs (G0, G1) ∈ GNI, (G0, G1) has a polynomial-size quantum certificate with which (G0, G1) ∈ GNI can...