Abstract:
In this paper, we use the cross-sectional data from the China Family Panel Survey (CFPS) in 2014 and use logit model and OLS regression model to analyze the effects of marriage events and marriage consumption on household poverty. The empirical research results of this article once again verify the existence of the phenomenon of “marriage lead to poverty”. Specifically, in contrast to families without a marriage event, if the family has a marriage event, the probability of the family becoming a poor household will increase by 28.7%. The abnormally high marriage consumption is actually the phenomenon of exploitation between families and between generations. The serious marriage burden it brings to the family cannot be ignored. In view of this, we must actively guide people to establish a correct view of marriage and formulate relevant laws and regulations in order to get rid of this bad customs of marriage.

Abstract:
We study a spinless hardcore boson model on checkerboard lattices by Green function Monte Carlo method. At half filling, the ground state energy is obtained up to $28\times 28$ lattice and extrapolated to infinite size, the staggered pseudospin magnetization is found to vanish in the thermodynamic limit. Thus the $(\pi,\pi)$ charge order is absent in this system. Away from half filling, two defects induced by each hole (particle) may carry fractional charge ($\pm e/2$). For one hole case, we study how the defect-defect correlation changes with $t/J$, which is the ratio between the hopping integral and cyclic exchange, equals to $V/2t$ when $V\gg t$. Moreover, we argue that these fractional defects may propagate independently when the concentration of holes (or defects) is large enough.

Abstract:
In this paper, we consider in $R^n$ the Cauchy problem for nonlinear Schr\"odinger equation with initial data in Sobolev space $W^{s,p}$ for $p<2$. It is well known that this problem is ill posed. However, We show that after a linear transformation by the linear semigroup the problem becomes locally well posed in $W^{s,p}$ for $\frac{2n}{n+1}

n(1-\frac{1}{p})$. Moreover, we show that in one space dimension, the problem is locally well posed in $L^p$ for any $1

Abstract:
We give an extremely short proof that the free-surface incompressible, irrotational Euler equations with regular initial condition can form a finite time singularity in 2D or 3D. Thus, we provide a simple view of the problem studied by Castro, Cordoba, Fefferman, Gancedo, Lopez-Fernadez, Gomez-Serrano and Coutand, Shkoller.

Abstract:
In this paper, we study how an agent's belief is affected by her neighbors in a social network. We first introduce a general framework, where every agent has an initial belief on a statement, and updates her belief according to her and her neighbors' current beliefs under some belief evolution functions, which, arguably, should satisfy some basic properties. Then, we focus on the majority rule belief evolution function, that is, an agent will (dis)believe the statement iff more than half of her neighbors (dis)believe it. We consider some fundamental issues about majority rule belief evolution, for instance, whether the belief evolution process will eventually converge. The answer is no in general. However, for random asynchronous belief evolution, this is indeed the case.

Assimilation of
Global Positioning System (GPS) Radio Occultation (RO) refractivity based on
WRF-3DVAR is applied to numerical weather predictions (NWP) in Hawaii, where
limited conventional observations and poor representation of local circulations
in global analysis constrain the quality of numerical weather predictions. For
a summer trade wind case, with GPS RO refractivity assimilated, the trade wind
inversion is better predicted. For a winter cold front case, the propagation of
the cold front is also better simulated when GPS RO refractivity is
assimilated. Furthermore, the moist tongue associated with the cold front is
better defined and the vertical profiles of temperature and moisture are
largely improved when compared to the model run without GPS RO assimilation.

Abstract:
Water molecule transportation through a single-walled carbon nanotube under a charge influence on tube was simulated. As the charge located at middle tube increases from 0.0e to 0.7e, water molecular orientations develop from a consistent orientation (0 q 0.4e) to bipolar orientations (L defect, when q 0.5e). Water molecule permeation through the channel is almost the same as in charge-free nanotube when q 0.2e. As q increases further the permeation decreases sharply. When q=0.6e the permeation becomes negligible and the tube channel effectively closes.

Abstract:
This paper proposes NNF-a fuzzy Petri Net system based on neural network for proposition logic repesentation,and gives the formal definition of NNF.For the NNF model,forward reasoning algorithm,backward reasoning algorithm and knowledge learning algorithm are discussed based on weight training algorithm of neural network-Back Propagation algorithm.Thus NNF is endowed with the ability of learning a rule.The paper concludes with a discussion on extending NNF to predicate logic,forming NNPrF,and proposing the formal definition and a reasoning algorithm of NNPrF.

Abstract:
The asymmetric unit of the title compound, [CuCl3(C8H14N3)(H2O)]·H2O, comprises a neutral complex and a molecule of free water. The complex contains coordinated CuII ions, with Cu—Cl distances ranging from 2.3471 (8) to 2.4011 (8) , and with Cu—N and Cu—O distances of 2.0775 (19) and 2.0048 (18) , respectively. The resulting coordination polyhedron is a trigonal bipyramid with the Cl atoms in the equatorial plane. In the crystal, O—H...Cl and O—H...O hydrogen bonds link the molecules into a three-dimensional structure.