Similarity ensembles

For the Ala-cwPro-Tyr peptide, we used two different methods that led to a similar ensemble of starting structures We analysed the structural databases... 

In conclusion by using rhenium as adsorbent instead of platinum, it is possible to achieve the ensemble control by sulfur passivation, at sulfur levels comparable to those applied for nickel and much lower than that which would have been required on a non-alloyed Pt-catalyst. A similar ensemble effect is achieved by alloying alone on Pt-Sn catalysts ... 

Reactions of methylcyclopentane over Pt-Cu alloys have been recently reported to show similar ensemble effects. ... 

To calculate similarity ensembles, choose two collections of sets Ca and Cb to compare (see Note 14). 

Calculate the similarity ensemble E-values between all sets... 

Fractals are self-similar objects invariant with respect to local dilatations, i.e., objects that reproduce the same shape during observation at various magnifications. The concept of fractals as self-similar ensembles was introduced by Mandelbrot [1], who defined a fractal as a set for which the Hausdorff-Besicovitch dimension always exceeds the topological dimension. The fractal dimension D of an object inserted in a d-dimensional Euclidean space varies from 1 to d. Fractal objects are the natural filling of the gap between known Euclidean objects with integer dimensions 0,1, 2, 3. .. The majority of naturally existing objects proved to be fractal, which is the main reason for the vigorous development of the methods of fractal analysis. 

The subsequent similar ensemble by use of Watson-Crick base-pairing interaction was reported by Sesslei el /. - Compared to the previous system, porphyrin 128 and the corresponding cytidine-siibstituted quinone may be more conforrnationally rigid, so this system could be used to better evaluate ET within a noncovalently linked complex. 

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