This work presents an exploratory data analysis of the syntactic distribution pre- and postverbal negation (N1 N2) in a corpus gathered from two linguistic atlases, Linguistic Atlas France (ALF) Italo-Swiss (AIS). Metadata concerning N1 N2 across dialects contexts are analyzed with r package Rbrul. Multiple logistic regression allows us to assess how independent variables affect presence/absenc...

A graph G of order n is said to be in the class O(n1) if deg(u)+deg(v)>n1 for every pair of nonadjacent vertices II, VE V(G). We characterise the graphs in O(n1) which are pancyclic.

Vaccinia virus (VACV) encodes many immunomodulatory proteins, including inhibitors of apoptosis and modulators of innate immune signalling. VACV protein N1 is an intracellular homodimer that contributes to virus virulence and was reported to inhibit nuclear factor (NF)-kappaB signalling. However, analysis of NF-kappaB signalling in cells infected with recombinant viruses with or without the N1L...

Let S = 〈n1, n2, n3〉 be a numerical monoid of embedding dimension 3. We characterize the positive integers m such that m ∈ ∆(S). If n1 = 3, we show that {23 3 − 2} ⊆ ∆(S) ⊆ [1, n2+n3 3 − 2]∩N. We conclude by determining necessary and sufficient conditions on n1, n2 and n3 so that ∆(S) is a singleton.

Treating 1,5-difluoro-2,4-dinitrobenzene (1) with N1-phenyl-5-(trifluoromethyl)benzene-1,2diamine (4) and N,N-diisopropylethylamine in EtOH at ca. 0 ◦C for 4 h affords a mixture of N1-(5-ethoxy-2,4-dinitrophenyl)-N2-phenyl-4-(trifluoromethyl)benzene-1,2-diamine (5) (38%) and N1-(5-fluoro-2,4-dinitrophenyl)-N2-phenyl-4-(trifluoromethyl)benzene-1,2-diamine (6) (51%) that can be separated by chrom...

Definition 1.1 A n1× n2× . . .× nk k-tensor is a set of n1 · n2 · . . . · nk numbers, which one interprets as being arranged in a k-dimensional hypercube. Given such a k-tensor, A, we can refer to a specific element via Ai1,i2,...,ik . A 2-tensor is simply a matrix, with Ai,j referring to the i, jth entry. You should think of a n1×n2×n3 3-tensor as simply a stack of n3 matrices, where each matr...