In the title salt, C(7)H(11)N(2) (+)·Br(3) (-), the cation and the near-linear anion [Br-Br-Br = 179.41 (8)°] both show whole-mol-ecule disorder about crystallographic twofold rotation axes. The cation is weakly hydrogen-bonded to the anion by an N-H⋯Br inter-action. The crystal studied was found to be a racemic twin, with a twin component of nearly 50%.

We prove that the mapping torus group Fn ⋊α Z of any automorphism α of a free group Fn of finite rank n ≥ 2 is weakly hyperbolic relative to the canonical (up to conjugation) family H(α) of subgroups of Fn which consists of (and contains representatives of all) conjugacy classes that grow polynomially under iteration of α. Furthermore, we show that Fn ⋊α Z is strongly hyperbolic relative to the...

The goal of the following is to use (infinitedimensional) linear systems theory to approach the H∞functional calculus. This extends recent work by the authors using the notion of admissible observation operators to define f (A) where f is bounded, analytic in the left half-plane and A generates an exponentially stable strongly continuous semigroup. Among other things it is shown that f (A) is a...

In the title compound, [Sn(C(6)H(5))(3)(C(14)H(9)N(2)O(4))], the Sn atom has a distorted tetra-hedral geometry with one of the carboxyl-ate O atoms and the C atoms from three phenyl groups. The other carboxyl-ate O atom of the benzoate ligand inter-acts weakly with the Sn atom, with an Sn⋯O distance of 2.790 (2) Å, which causes a distortion of the tetra-hedral coordination geometry.

We consider weakly convergent sequences of approximate H-surface maps defined in the plane with their tension fields bounded in Lp for p > 4/3, and establish an energy quantization that accounts for the loss of their energies by the sum of energies over finitely many nontrivial bubbles maps on R2. As a direct consequence, we establish the energy identity at finite singular time to their H-surfa...

Rr.lssurro Un sistema.di m equazioni alle derivate parziali in m lunzioni incognite d detto < weakly coupted > se la h-esima equazione contiene solo le derivate parziali della h-esima lunzione incognita. Per sistemi semilineari sifiatti, di tipo,parabolico e di tipo ellittico, vengono determinati insiemi m4imensiotuli S (detti insiemi invarianti) tali che se i dati stanno in S, le soluzioni si ...

We consider homological edge percolation on a sequence (Gt)t of finite graphs covered by an infinite (quasi)transitive graph H and weakly convergent to H. In particular, we use the covering maps classify 1-cycles Gt as homologically trivial or non-trivial define several thresholds associated with rank thus defined first homology group open subgraphs generated Bernoulli (edge) process. identify ...

a method for solving a class of weakly singular volterra integral equations is given by using the fractional differential transform method. the approximate solution of these equa­tions is calculated in the form of a finite series with easily computable terms. while in some examples this series solution increased up to the exact closed solution, in some other examples, we can see the accuracy an...