Abstract:
A proper total-coloring of graph G is said to be？equitable if the number of elements (vertices and edges) in any？two color classes differ by at most one, which the required？minimum number of colors is called the equitable total chromatic？number. In this paper, we prove some theorems on equitable？total coloring and derive the equitable total chromatic numbers？of Pm V？Sn, Pm V？Fn and Pm V Wn.

The magnetron sputtered La_{0.7}Sr_{0.3}MnO_{3} films were implanted with different doses (5 ′ 10^{15} ions×cm?2 and
5 ′ 10^{16} ions×cm^{-2}) of
Al ions at different negative pulsed voltages (30 kV and 50 kV) by plasma based
ion implantation and then annealed at 973 K for 1 h in air. The microstructure,
surface morphologies, surface roughness, metal-insulator transition and room
temperature emittance properties of the post-implantation annealed films were
investigated and compared with those of the La_{0.7}Sr_{0.3}MnO_{3} film annealed at 973
K for 1 h in air. The results indicate that the post- implantation annealed
films show single perovskite phase and obvious (100) preferred orientation
growth. The Mn-O bond length, surface roughness and metal-insulator transition
temperature (TMI) of the films can be effectively adjusted by changing
implantation voltage or implantation dose of Al ions. However, the change of
implantation parameters just has a small effect on room temperature emittance
of the films. Compared with the annealed film, the post-implantation annealed
films have shorter Mn-O bond length and lower room temperature emittance. The TMI
of the films implanted at low voltage is lower than that of the annealed film,
which mainly results from the degradation of oxidization during annealing
process and the part displacement of Mn^{3+}-O^{2+}- Mn^{4+} double exchange channels by
Al^{3+}-O^{2?}-Mn^{4+}. The post-implanted annealed film implanted at 50 kV/5 ′ 10^{16} ions×cm^{-2} has
a higher TMI than the annealed film, which is 247 K. The increase of TMI of the
film implanted with high dose of Al ions at high voltage can be attributed to
the improvement of microstructure.

Abstract:
An ensemble Monte Carlo simulation is presented to investigate the avalanche multiplication process in thin InP avalanche photodiodes (APDs). Analytical band structures are applied to the description of the conduction and valence band, and impact ionization is treated as an additional scattering mechanism with the Keldysh formula. Multiplication gain and excess noise factor of InP p+-i-n+ APDs are simulated and obvious excess noise reduction is found in the thinner devices. The effect of dead space on excess noise in thin APD structures is investigated by the distribution of impact ionization events within the multiplication region. It is found that the dead space can suppress the feedback ionization events resulting in a more deterministic avalanche multiplication process and reduce the excess noise in thinner APDs.

Abstract:
Information entropy and Zipf's law in the field of information theory have been used for studying the disassembly of nuclei in the framework of the isospin dependent lattice gas model and molecular dynamical model. We found that the information entropy in the event space is maximum at the phase transition point and the mass of the cluster show exactly inversely to its rank, i.e. Zipf's law appears. Both novel criteria are useful in searching the nuclear liquid gas phase transition experimentally and theoretically.

Abstract:
Motivation learning aims to create abstract motivations and related goals. It is one of the high-level cognitive functions in Consciousness And Memory model (CAM). This paper proposes a new motivation learning algorithm which allows an agent to create motivations or goals based on introspective process. The simulation of cyborg rat maze search shows that the motivation learning algorithm can adapt agents’ behavior in response to dynamic environment.

Abstract:
In this paper we study $k$-noncrossing, canonical RNA pseudoknot structures with minimum arc-length $\ge 4$. Let ${\sf T}_{k,\sigma}^{[4]} (n)$ denote the number of these structures. We derive exact enumeration results by computing the generating function ${\bf T}_{k,\sigma}^{[4]}(z)= \sum_n{\sf T}_{k,\sigma}^{[4]}(n)z^n$ and derive the asymptotic formulas ${\sf T}_{k,3}^{[4]}(n)^{}\sim c_k n^{-(k-1)^2-\frac{k-1}{2}} (\gamma_{k,3}^{[4]})^{-n}$ for $k=3,...,9$. In particular we have for $k=3$, ${\sf T}_{3,3}^{[4]}(n)^{}\sim c_3 n^{-5} 2.0348^n$. Our results prove that the set of biophysically relevant RNA pseudoknot structures is surprisingly small and suggest a new structure class as target for prediction algorithms.

Abstract:
The coupling of groundwater movement and reactive transport during groundwater recharge with wastewater leads to a complicated mathematical model, involving terms to describe convection-dispersion, adsorption/desorption and/or biodegradation, and so forth. It has been found very difficult to solve such a coupled model either analytically or numerically. The present study adopts operator-splitting techniques to decompose the coupled model into two submodels with different intrinsic characteristics. By applying an upwind finite difference scheme to the finite volume integral of the convection flux term, an implicit solution procedure is derived to solve the convection-dominant equation. The dispersion term is discretized in a standard central-difference scheme while the dispersion-dominant equation is solved using either the preconditioned Jacobi conjugate gradient (PJCG) method or Thomas method based on local-one-dimensional scheme. The solution method proposed in this study is applied to the demonstration project of groundwater recharge with secondary effluent at Gaobeidian sewage treatment plant (STP) successfully.

Abstract:
The thermal expansion behavior of La1-xSrxMn1-yCoyO3-δ (x=0.2～0.4, y=0.1～0.3) perovskites in air has been investigated. The average linear thermal expansion coefficients increased with increasing Sr content up to 40 mole fraction or Co content up to 30 mole fraction. The expansion is generally attributed to an increase in the average cation radius as some of the cations in the perovskite are reduced in valence when oxygen ions are removed from the structure.