Here N2 is the number of triangles in the simplicial manifold consisting of N4 four-simplices and the topology is chosen to be that of S. (For more details see [1].) We recall that the system has two phases, a crumpled phase at low κ2 and an elongated phase at high κ2. The model is supposed to represent the quantum gravitational path integral over euclidean spacetimes weighted with the Regge-Ei...

The Carlitz-Wan conjecture, which is now a theorem, asserts that for any positive integer n, there is a constant Cn such that if q is any prime power > Cn with GCD(n, q−1) > 1, then there is no permutation polynomial of degree n over the finite field with q elements. From the work of von zur Gathen, it is known that one can take Cn = n4. On the other hand, a conjecture of Mullen, which asserts ...

This study was aimed at developing a compound microbial agent to facilitate the composting of Chinese medicinal herbal residues (CMHRs). Different agents were inoculated into mixture CMHRs, sheep manure, and biochar composted for 42 days. The results demonstrated that (K1 + P1 N4) in T1 can extend thermophilic period during composting. Compared with control check (CK), total nutrient contents v...

Oryzalin (3,5-dinitro-N4,N4-dipropyl-sulfanilamide) and BAS 083 (l,l-dimethylpiperdinium chloride) reduced root-knot infection in tomato roots when respectively applied as a soil drench at 20 ppm and 10,000 ppm. Oryzalin reduced knot counts with various intervals between treatment and inoculation. BAS 083 reduced knot counts only when applied before inoculation. Oryzalin was shown not to be a c...

We present a global ground-state potential energy surface for N4 suitable for treating high-energy vibrational-rotational energy transfer and collision-induced dissociation in N2-N2 collisions. To obtain the surface, complete active space second-order perturbation theory calculations were performed for the ground singlet state with an active space of 12 electrons in 12 orbitals and the maug-cc-...

An (nk) configuration is a set of n points and n lines such that each point lies on k lines while each line contains k points. The configuration is geometric, topological, or combinatorial depending on whether lines are considered to be straight lines, pseudolines, or just combinatorial lines. The existence and enumeration of (nk) configurations for a given k has been subject to active research...

In the current study, event-related potentials (ERPs) and behavioral responses were measured in individuals meeting diagnostic criteria for social phobia, depression, their combination, or neither in order to examine the unique and combined effects of social phobia and depression on the interpretation of ambiguous social scenarios. ERPs revealed a lack of positive interpretation bias and some s...