ON UNIQUENESS FOR ALGEBROID FUNCTIONS OF FINITE ORDER

Guided by Lo.Yang＇s method, we concern the question that how algebroid func- tions are determined by their multiple values and deficient values and we prove an at most 3v-valued theorem for algebroid functions. The results are complemented by an example for completeness.

THE UNIQUENESS FOR ALGEBROID FUNCTIONS OF FINITE ORDER

In this article,we discuss,by Nevanlinna theory,the influence of multiple values and deficiencies on the uniqueness problem of algebroid functions.We get several uniqueness theorems of algebroid functions which include an at most 3v-valued theorem.These results extend the existing achievements of some scholars.

SEVERAL UNIQUENESS THEOREMS OF ALGEBROID FUNCTIONS ON ANNULI

In this paper, we discuss the uniqueness problem of algebroid functions on annull, we get several uniqueness theorems of algebroid functions on annuli, which extend the Nevanlinna value distribution theory for algebroid functions on annuli.

Some Normality Criteria for Families of Meromorphic Functions

Let κ be a positive integer and F be a family of meromorphic functions in a domain D such that for each f ∈ F, all poles of f are of multiplicity at least 2,and all zeros of f are of multiplicity at least κ + 1. Let α and b be two distinct finite complex numbers. If for each f ∈ F, all zeros of f;-α are of multiplicity at least 2,and for each pair of functions f, g ∈ F, f;and g;share b in D, then F is normal in D.

Renormalization of Multiple q-Zeta Values

In this paper, we shall define the renormalization of the multiple q-zeta values （MqZV） which are special values of multiple q-zeta functions ζq （s1,..., Sd） when the arguments are all positive integers or all non-positive integers. This generalizes the work of Guo and Zhang （Renormalization of Multiple Zeta Values, arxiv： math/0606076v3）. We show that our renormalization process produces the same values if the MqZVs are well-defined originally and that these renormalizations of MqZV satisfy the q-stuffle relations if we use shifted-renormalizations for all divergent ζq（S1,..., sd） （i.e., s1 ≤ 1）. Moreover, when q ↑ 1 our renormalizations agree with those of Guo and Zhang.

Water resources optimization and eco-environmental protection in Qaidam Basin

In order to realize sustainable development of the arid area of Northwest China, rational water resources exploitation and optimization are primary prerequisites. Based on the essential principle of sustainable development, this paper puts forward a general idea on water resources optimization and eco-environmental protection in Qaidam Basin, and identifies the competitive multiple targets of water resources optimization. By some qualitative methods such as Input-output Model & AHP Model and some quantitative methods such as System Dynamics Model & Produce Function Model, some standard plans of water resources optimization come into being. According to the Multiple Targets Decision by the Closest Value Model, the best plan of water resources optimization, eco-environmental protection and sustainable development in Qaidam Basin is finally decided.

TENSOR SUM AND DYNAMICAL SYSTEMS

In this paper we introduce the concept of tensor sum semigroups. Also we have given the examples of tensor sum operators which induce dynamical system on weighted locally convex function spaces.

Values and Conservation of Honghe Hani Rice Terraces System as a GIAHS Site

Agri-cultural Heritage Systems（AHS） have not only various values but also important enlightening roles for modern agriculture.With agro-scientific and technological progress,the traditional agriculture that has lasted for thousands of years is declining gradually,thus is attached the importance of exploring and protecting our AHS.As a traditional agricultural system for 1300 years,the Honghe Hani Rice Terraces System（HHRTS） has many significant characteristics such as beautiful landscapes,distinctive rice varieties,ecologically clean agricultural production systems,systematic methods of managing water and soil and special ethnic culture.It was designated successively as a Globally Important Agricultural Heritage System（GIAHS） in 2010 and as a World Heritage（WH） in 2013.In this paper,taking HHRTS as an example,we analyzed the economic,ecological,aesthetic,cultural,and social values,as well as the research values,of the GIAHS.We conclude that the restrictions on increasing peasant earnings and improving their living standards are difficult with the low efficiency of traditional planting patterns and the single-industry structure of farming in rugged terrain.However,these restrictive factors are beneficial for developing some industries like green agriculture,organic agriculture or ecological food production because of the clean farmland environment.In the end,we propose the basic approaches to protect the Hani terraces agriculture system should include the local governments to encourage the development of ecotourism,organic agriculture and featuring agriculture by multi-mode economic compensation.It is very important for protecting terraces to coordinate benefits among corporations,governments and villagers by making reasonable policies of compensation.