Abstract:
Inorganic hollow spheres have shown their superiority in photocatalytic area due to the large specific surface area, controllable structure and their own special optical, electrical, magnetic properties. According to the classification of inorganic hollow spheres as photocatalysts, recent research progress and application status have been summarized in this paper. At last, the future developments of inorganic hollow spheres in photocatalytic field have been discussed.

Abstract:
Shared value creation concept emphasizes the future
development of the enterprise to meet the needs of society into the core
activities, create economic value by solving social problems, and make the bottom of the pyramid of low-income groups
(BOP) markets for the practice of the concept and provide a comfortable environment. Based on six cases of enterprises
operating in China’s rural market, this paper discusses how enterprises can
achieve economic returns and create social value strategies and approaches at
the same time. Results show that because the BOP market is empty obstacles, such as lack of value chain and the system,
enterprises need to build the heterogeneity of organization, institutions and
individuals inter-departmental cooperation network to overcome, in the end by
connecting two ways to enhance the capacity and promote local market shared value
creation.

Abstract:
We first show that the quasiclassical limit of the squared eigenfunction symmetry constraint of the Sato operator for the mKP hierarchy leads to a reduction of the Sato function for the dispersionless mKP hierarchy. The constrained dispersionless mKP hierarchy (cdmKPH) is obtained and it is shown that the (2+1)-dimensional dispersionless mKP hierarchy is decomposed to two (1+1)-dimensional hierarchies of hydrodynamical type. The dispersionless mKP hierarchy with self-consistent sources (dmKPHSCS) together with its associated conservation equations are also constructed. Some solutions of dmKPESCS are obtained by hodograph reduction method.

Abstract:
For the first time we show that the quasiclassical limit of the symmetry constraint of the KP hierarchy leads to the generalized Zakharov reduction of the dispersionless KP (dKP) hierarchy which has been proved to be result of symmetry constraint of the dKP hierarchy recently. By either regarding the constrained dKP hierarchy as its stationary case or taking the dispersionless limit of the KP hierarchy with self-consistent sources directly, we construct a new integrable dispersionless hierarchy, i.e., the dKP hierarchy with self-consistent sources and find its associated conservation equations (or equations of Hamilton-Jacobi type). Some solutions of the dKP equation with self-consistent sources are also obtained by hodograph transformations.

Abstract:
Using gauge transformations for the corresponding generating pseudo-differential operators $L^n$ in terms of eigenfunctions and adjoint eigenfunctions, we construct several types of auto-B\"{a}cklund transformations for the KP hierarchy with self-consistent sources (KPHSCS) and mKP hierarchy with self-consistent sources (mKPHSCS) respectively. The B\"{a}cklund transformations from the KPHSCS to mKPHSCS are also constructed in this way.

Abstract:
The B\"{a}cklund transformations between the constrained dispersionless KP hierarchy (cdKPH) and the constrained dispersionless mKP hieararchy (cdmKPH) and between the dispersionless KP hieararchy with self-consistent sources (dKPHSCS) and the dispersionless mKP hieararchy with self-consistent sources (dmKPHSCS) are constructed. The auto-B\"{a}cklund transformations for the cdmKPH and for the dmKPHSCS are also formulated.

Abstract:
The mKP equation with self-consistent sources (mKPESCS) is treated in the framework of the constrained mKP hierarchy. We introduce a new constrained mKP hierarchy which may be viewed as the stationary hierarchy of the mKP hierarchy with self-consistent sources. This offers a natural way to obtain the Lax representation for the mKPESCS. Based on the conjugate Lax pairs, we construct the generalized Darboux transformation with arbitrary functions in time $t$ for the mKPESCS which, in contrast with the Darboux transformation for the mKP equation, provides a non-auto-B\"{a}cklund transformation between two mKPESCSs with different degrees. The formula for $n$-times repeated generalized Darboux transformation is proposed and enables us to find the rational solutions (including the lump solutions), soliton solutions and the solutions of breather type of the mKPESCS.

Abstract:
The KP equation with self-consistent sources (KPESCS) is treated in the framework of the constrained KP equation. This offers a natural way to obtain the Lax representation for the KPESCS. Based on the conjugate Lax pairs, we construct the generalized binary Darboux transformation with arbitrary functions in time $t$ for the KPESCS which, in contrast with the binary Darboux transformation of the KP equation, provides a non-auto-B\"{a}cklund transformation between two KPESCSs with different degrees. The formula for N-times repeated generalized binary Darboux transformation is proposed and enables us to find the N-soliton solution and lump solution as well as some other solutions of the KPESCS.

Abstract:
In the title compound, [Zn(C24H21N7)(H2O)](C12H12NO3S)(ClO4)·2.5H2O, the ZnII ion is in a distorted trigonal–bipyramidal coordination geometry. In the crystal, N—H...O and O—H...O hydrogen bonds connect the components into a two-dimensional network parallel to (001). In addition, there are weak C—H...O hydrogen bonds.

Abstract:
In the title compound, [Pb(NO3)(C38H38N10)][Pb(C38H38N10)(H2O)0.5](NO3)3·2H2O, both PbII ions are coordinated in a distorted trigonal–prismatic environment by a hexadentate N,N,N′,N′-tetrakis[(1H-benzimidazol-2-yl)methyl]cyclohexane-1,2-diamine ligand. A nitrate and a half-occupancy water ligand form long coordination bonds to the PbII ions capping the trigonal–prismatic environment. In the crystal, the components are linked by N—H...O and O—H...O hydrogen bonds, forming a three-dimensional network. C—H...O interactions also occur.