Here, we demonstrate that graphene oxide (GO) can act as a structure-directing agent for the formation of PtPd alloy concave nanocubes enclosed by high index facets. In the presence of GO, PtPd alloy concave nanocubes could be easily tailored by a simple hydrothermal reaction. In sharp contrast, only cubic PtPd alloy nanocrystals were obtained in the absence of GO. Moreover, compared to the uns...

Spaces of convex and concave functions appear naturally in theory applications. For example, regression log-concave density estimation are important topics nonparametric statistics. In stochastic portfolio theory, on the unit simplex measure concentration capital, their gradient maps define novel investment strategies. The may also be regarded as optimal transport simplex. this paper we constru...

Sensitivity to shape changes was measured, in particular detection of convexity and concavity changes. The available data are contradictory. The author used a change detection task and simple polygons to systematically manipulate convexity/concavity. Performance was high for detecting a change of sign (a new concave vertex along a convex contour or a new convex vertex along a concave contour). ...

The possibilities of exploiting the special structure of d.c. programs, which consist of optimizing the difference of convex functions, are currently more or less limited to variants of the DCA proposed by Pham Dinh Tao and Le Thi Hoai An in 1997. These assume that either the convex or the concave part, or both, are evaluated by one of their subgradients. In this paper we propose an algorithm w...

the 2-(methylamino) pyridine, l, reacts with cucl in thf to give hexameric copper (i) complex, [cucl(l)]6. the molecular structure has been determined by using single-crystal x-ray diffraction method. the complex crustallizes in the monoclinic space group p21/n with four molecules per unit cell. the unit cell dimensions are a = 8.3495 (15), b = 15.622 (6), and c = 17.030(4) å with b= 98.55 (2)°...

Energetic proton acceleration from concave targets, the fronts of which were irradiated with 40 fs laser pulses with an intensity of 10 W/cm, has been studied as a function of the depth of the concave shape. Three kinds of targets, a triangular concave target, a circular concave target and a parabolic concave target are considered. When the depth of the concave shape was varied, the peak proton...

Concave compositions are compositions (i.e. ordered partitions) of a number in which the parts decrease up to the middle summand(s) and increase thereafter. Perhaps the most surprising result is for even length, concave compositions where the generating function turns out to be the quotient of two instances of the pentagonal number theorem with variations of sign. The false theta function disco...

We study a class of left-invertible operators which we call weakly concave operators. It includes the and some subclasses expansive strict $m$ -isometries with $m > 2$ . prove Wold-type decomposition for also obtain Berger–Shaw-type theorem analytic finitely cyclic The proofs these results rely heavily on spectral dichotomy provides fairly close relationship, written in terms reciprocal auto...

The multi-stage lot-sizing problem with production capacities (MLSP-PC) deals with a supply chain that consists of a manufacturer with stationary production capacity and intermediaries (distribution centers or wholesalers) and a retailer to face deterministic demand. An optimal supply chain plan for the MLSP-PC specifies when and how many units each organization of the supply chain has to produ...