The synthesis of SmCl3(THF)3 from SmCl3.6H2O is described. The reaction of SmCl3(THF)3 with NaBH4 in dry THF gave white microcrystalline tris (tetrahydroborato) tris (tetrahydrofuran) samarium (III), Sm(BH4)3(THF)3. The vibrational and magnetic properties of Sm(BH4)3...

We have attempted a multiscale and quantified characterization method of the contact in three-dimensional granular material made of spherical particles, particularly in cemented granular material. Particle contact is defined as a type of surface contact with voids in its surroundings, rather than a point contact. Macro contact is a particle contact set satisfying the restrictive condition of a ...

We describe the characterization of a chip-based platform (3(D)-KITChip) for the three-dimensional cultivation of cells under perfusion conditions via magnetic resonance imaging (MRI). Besides the chip, the microfluidic system is comprised of a bioreactor housing, a medium supply, a pump for generating active flow conditions as well as a gas mixing station. The closed circulation loop is ideall...

7 A homogeneous set of a graph G is a set X of vertices such that 2 ≤ |X| < |V (G)| 8 and no vertex in V (G) − X has both a neighbor and a non-neighbor in X. A graph 9 is prime if it has no homogeneous set. We present an algorithm to decide whether a 10 class of graphs given by a finite set of forbidden induced subgraphs contains infinitely 11 many non-isomorphic prime graphs. 12

In this paper, we obtain a forbidden minor characterization of a cographic matroid M for which the splitting matroid Mx,y is graphic for every pair x, y of elements of M .

A semigroup is amiable if there is exactly one idempotent in each R⇤-class and in each L⇤-class. A semigroup is adequate if it is amiable and if its idempotents commute. We characterize adequate semigroups by showing that they are precisely those amiable semigroups which do not contain isomorphic copies of two particular nonadequate semigroups as subsemigroups.

A Hermitian metric on a complex manifold is called SKT (strong Kähler with torsion) if the Bismut torsion 3-form [Formula: see text] closed. As conformal generalization of condition, we introduce new type structure, locally (or shortly LCSKT). More precisely, structure said to be LCSKT there exists closed nonzero text]-form such that text]. In this paper, consider nontrivial structures, i.e. as...

In this paper we give a characterization of those locally finite 2-dimensional simplicial complexes that have an orientable 3-manifold thickening. This leads to an obstruction for a fake surface X to admit such a thickening. The obstruction is defined in H(Γ;Z2), where Γ ⊂ X is the subgraph consisting of all the 1-simplexes of order three.