We present a new algorithm for nonlinear blind source separation, which is based on the geometry of the mixture space. This space is decomposed in a set of concentric rings, in which we perform ordinary linear ICA after central transformation; we show that this transformation can be left out if we use linear geometric ICA. In any case, we get a set of images of ring points under the original mi...

The event-by-event analysis of multiparticle production in high energy hadron and nuclei collisions can be performed using the discrete wavelet transformation. The ring-like and jet-like structures in two-dimensional angular histograms are well extracted by wavelet analysis. For the first time the method is applied to the jet-like events with background simulated by event generators, which are ...

cacl2 treatment followed by heat shock is the most common method for artificial transformation. here, the cells were transformed using cacl2 treatment either with heat shock (standard protocol) or without heat shock (lab protocol) to comprehend the difference in transformation efficiency. the bl21 strain of escherichia coli (e. coli) was being susceptible using cacl2 treatment. some cells were ...

A theoretical study focusing on the ring expansion that occurs in the reaction of N-heterocyclic carbenes with silanes has been carried out. A detailed reaction pathway was determined which indicates that formation of C-H bonds is the crucial factor in the transformation.

Boron trihalide-promoted ring-opening reactions of gem-difluorocyclopropyl ketones to give the corresponding β-trifluoromethyl ketones and β-halodifluoromethyl ketones were described. It was found that boron trihalides act as both Lewis acids and nucleophiles and the proximal bond prefers to cleave in this transformation.

We characterize classes of multi-graphs that by a transformation of Schrijver give so called invariant ring in tensor algebra. This property enables us subsequently to show, that whenever we have an edge reflection positive and multiplicative graph parameter defined on this class such that its value on vertexless loop is a natural number, it can be represented in edge coloring model.

We decompose tensor products of the defining representation of a Cartan type Lie algebra W (n) in the case where the number of tensoring does not exceed the rank of the Lie algebra. As a result, we get a kind of Schur duality between W (n) and a finite dimensional non-semisimple algebra, which is the semi-group ring of the transformation semigroup Tm .

The title compound, C(19)H(11)NO, is stabilized by one intra-molecular C-H⋯O hydrogen bond. The compound can be synthesized in good yield (49%), by transformation of functional groups [starting with 5-(fluoren-9-ylidenemeth-yl)furan-2-carbaldehyde]. The flourene and furan ring systems are nearly coplanar, with a dihedral angle of 6.36 (7)°.

The commercially available monoterpene carvone has been efficiently converted into the tricyclo[3.2.1.0(2.7)]octane and bicyclo[3.2.1]octane systems characteristic of some biologically active compounds. The sequence used for this transformation involves as key features an intramolecular Diels-Alder reaction of a 5-vinyl-1,3-cyclohexadiene and a cyclopropane ring opening.

This article describes the development of microwave-assisted oxyanionic 5-exo-dig cyclization-Claisen rearrangement sequence as a convenient "one-pot" route to a variety of seven-membered carbocyclic ring systems. This process was used as the key transformation for the construction of several natural products, including frondosins A, B, and C.