Curating Spaces of Hope: Coproducing Shared Values in Uncertain Times

This paper sets out a new paradigm of faith based organisation(FBO)called Curating Spaces of Hope.The paper sets out the paradigm and the interdisciplinary literatures into which the paradigm is applied namely,the diversifying belief landscape in the UK,the postsecular,the redefinition of FBOs,and liminality as the new norm in policy.The paper then turns to ethnographic research to evidence the ability of the paradigm to map and coproduce shared values,before considering applications of Curating Spaces of Hope in post-pandemic contexts in the north west of England through case studies with ecumenical Christian,non-religious,and Turkish Muslim and interfaith contexts.

Normal Families of Holomorphic Functions Concerning Shared a Polynomial

In this paper,we study normal families of holomorphic function concerning shared a polynomial.Let F be a family of holomorphic functions in a domain D,k(2)be a positive integer,K be a positive number andα(z)be a polynomial of degree p(p 1).For each f∈F and z∈D,if f and f sharedα(z)CM and|f(k)(z)|K whenever f(z)-α(z)=0 in D, then F is normal in D.

Normality and Shared Value Concerning Differential Polynomials

Let F be a family of functions meromorphic in a domain D, let m, n k , k be three positive integers and b be a finite nonzero complex number. Suppose that, (1) for eachf∈F, all zeros of f have multiplicities at least k ; (2) for each pair of functions f, g ∈F,P(f)H(f) and P(g)H(g) share b, where P(f) and H(f) were defined as (1.1) and (1.2) and nk ≥ max 1≤i≤k-1 {n i }; (3) m ≥ 2 or nk ≥ 2, k ≥ 2, then F is normal in D.

Unicity Theorems of Mesomorphic Functions with Three Weighted Sharing Values

In this paper,with the idea of weighted sharing values,we deal with the problem of uniqueness of mesomorphic functions sharing three weighted values.We obtain some theorems which improve the results of H X Yi and W R L.

Meromorphic Functions Sharing Two Values

Let f and g be two nonconstant meromorphic functions,and n be a positive integer.If f^(n)(z)and g^(n)(z)share 1 CM(counting multiplicities),f(z)and g(z)share∞IM(ignoring multiplicities),and N(r,1f)+N(r,1g)=S(r,f)+S(r,g),then either f(z)≡tg(z)or f(z)g(z)≡t,where t^(n)=1.As an application,shared values problems of a meromorphic function related to its shifts and difference operators are also investigated.

ENTIRE FUNCTIONS SHARING ONE SMALL FUNCTION CM WITH THEIR SHIFTS AND DIFFERENCE OPERATORS

In this article, we mainly devote to proving uniqueness results for entire functions sharing one small function CM with their shift and difference operator simultaneously. Let f(z) be a nonconstant entire function of finite order, c be a nonzero finite complex constant,and n be a positive integer. If f(z), f(z + c), and ?_c^n f(z) share 0 CM, then f(z + c) ≡ Af(z),where A(= 0) is a complex constant. Moreover, let a(z), b(z)( ≡ 0) ∈ S(f) be periodic entire functions with period c and if f(z)-a(z), f(z + c)-a(z), ?_c^n f(z)-b(z) share 0 CM, then f(z + c) ≡ f(z).

Prospects of key technologies of integrated energy systems for rural electrification in China

Owing to increasing environmental concerns and resource scarcity, integrated energy system shave become widely used in communities. Rural energy systems, as one of the important links of the energy network in China, suffer from low energy efficiency and weak infrastructure. Therefore, it is particularly important to increase the proportion of electricity consumption and build an integrated energy system for rural electrification in China(IESREIC) with a rural distribution network as the core, in line with national conditions. In this study, by analyzing the Chinese regional differences and natural resource endowments, the development characteristics of the IESREIC are summarized. Then, according to the existing rural energy problems, key technologies are proposed for the IESREIC, such as those for planning and operation, value sharing, infrastructure, and a management and control platform. Finally, IESREIC demonstration projects and business models are introduced for agricultural production, rural industrial systems, and rural life. The purpose is to propose research concepts for the IESREIC, provide suggestions for the development of rural energy, and provide a reference for the construction of rural energy systems in countries with characteristics similar to those of China.

A Note on Normal Families of Meromorphic Functions and Sharing Set

In the paper,we prove the main result:Let k(≥2)be an integer,and a,b and c be three distinct complex numbers.Let F be a family of functions holomorphic in a domain D in complex plane,all of whose zeros have multiplicity at least k.Suppose that for each f∈F,f(z)and f(k)(z)share the set{a,b,c}.Then F is a normal family in D.

亚纯函数分担不动点的正规定则（英文）

In this paper, we study the normality criteria of meromorphic functions concerning shared fixed-points, we obtain: Let F be a family of meromorphic functions defined in a domain D. Let n, k ≥ 2 be two positive integers. For every f ∈ F, all of whose zeros have multiplicity at least (nk+2)/(n-1). If f(f(k))nand g(g(k))nshare z in D for each pair of functions f and g, then F is normal.

Uniqueness of Entire Functions Concerning Differential Polynomials

In this paper,we deal with the uniqueness problems on entire functions concerning differential polynomials that share one small function.Moreover,we improve some former results of M Fang and W Lin.

Normal Families of Zero-free Meromorphic Functions II

Let k, m be two positive integers with m ≤ k and let F be a family of zero-free meromorphic functions in a domain D, let h(z) ≡ 0 be a meromorphic function in D with all poles of h has multiplicity at most m. If, for each f ∈ F, f(k)(z) = h(z) has at most k- m distinct roots(ignoring multiplicity) in D, then F is normal in D. This extends the results due to Chang[1], Gu[3], Yang[11]and Deng[1]etc.

A Trust Value Sharing Scheme in Heterogeneous Identity Federation Topologies

Recent developments in heterogeneous identity federation systems have heightened the need for the related trust management system.The trust management system evaluates,manages,and shares users’trust values.The service provider(SP)members of the federation system rely on users’trust values to determine which type and quality of service will be provided to the users.While identity federation systems have the potential to help federated users save time and energy and improve service experience,the benefits also come with significant privacy risks.So far,there has been little discussion about the privacy protection of users in heterogeneous identity federation systems.In this paper,we propose a trust value sharing scheme based on a proxy ring signature for the trust management system in heterogeneous identity federation topologies.The ring signature schemes can ensure the validity of the data and hide the original signer,thereby protecting privacy.Moreover,no group manager participating in the ring signature,which naturally matches with our decentralized heterogeneous identity federation topologies.The proxy signature can reduce the workload of the private key owner.The proposed scheme shortens the calculation time for verifying the signature and then reduces the overall time consumption in the process of trust sharing.Our studies prove that the proposed scheme is privacy-preserving,efficient,and effective.

Innovation and practice of petroleum engineering synergetic management for the development of difficult-to-produce reserves

Due to engineering technology and development costs,a considerable amount of proven oil and gas resources in China are difficult to develop,becoming reserves difficult to produce.Based on the successful development of some domestic oil and gas reserves difficult to recover,this article summarizes the"four in one"petroleum engineering synergetic management model to promote the effective development of these reserves.This model draws on the essence of management theories,such as system theory,cybernetics and synergetic theory,and proposes the development idea of value creating and sharing for this type of reserves.By adopting the new management method of mechanism synergy,speciality synergy,process synergy and industrial chain synergy,this model effectively overcomes the decentralization of management responsibility,different management objectives,great risks of engineering and technological innovation,and the large number of uncertain factors in project construction,and can stimulate the vitality and power of active coordination of project participants,to effectively realize the synergetic innovation of engineering technology and synergetic cost reduction of the whole chain,reduction of the balanced oil price of the project,and dispersion of the project investment risk.By adopting this model,a large proportion of difficult-to-produce reserves have been liberated,realizing the effective utilization of the difficult-to-produce oil and gas resources,and making the reserves an important supplement to ensure national energy security.

Research on Improving Customer Value by Using QCC in Drugstores Based on Customer Life Cycle

Objective To build a model to improve the customer value of drugstores,so as to enhance their core competitiveness and share the value between drugstores and customers.Methods The quality control circle(QCC)was used to establish the model based on the theory of customer life cycle.According to recency-frequencymonetary(RFM)model,a general value index evaluation system was constructed for customers in different life cycles,and an example was studied.Results and Conclusion The flow model of drugstore customer management system and the method of evaluating the customer value were designed.Taking the activities of the QCC in a drugstore as an example,the deficiencies of pharmaceutical care such as medication consultation,shortage of drug supply and irrational drug display were improved.It also promoted the transformation of customers from a starting period into stable period and improved the comprehensive value of customers,indicating that QCC was effective.Drugstores should carry out the QCC activities with different themes according to the characteristics of customers in different life circles.Meanwhile,suggestions from customers on improving the environment and facilities,service quality and management mechanism of the drugstores should be effectively adopted to promote the transformation of customers from the starting period to the stable period for the realization of the highest value.This will bring economic value to drugstores and achieve the value sharing between drugstores and customers.

Meromorphic Functions Sharing One Value with Their Derivatives Concerning the Difference Operator

Let f(z)beanon-constantmeromorphicfunctionoffiniteorder,c∈C\{0}andk∈N.Suppose f(z)and f(k)(z+c)share1CM(IM),f(z)and f(z+c)share∞CM.If N(r,0;f)=S(r,f)(N(r,0;f(z))+N(r,0;f(k)(z+c))=S(r,f)),then either f(z)≡f(k)(z+c)or f(z)is a solution of the following equation:f((z+c)−1=a(z)(f(z)−1))f(z)+1 a(z)),and N(r,0;f(z)+1 a(z))=S(r,f)(f′(z+c)−1=a(z)(f(z)−1)(f(z)+1 a(z)))where a(z)(≡−1,0,∞)(a(z)(≡0,∞))is a meromorphic function satisfying T(r,a)=S(r,f).Also we exhibit some examples to show that the conditions of our results are the best possible.

Value-Sharing of Meromorphic Functions and Differential Polynomials

This paper is devoted to studying the relationship between meromorphic functions f(z) and g(z) when their differential polynomials satisfy sharing condition weaker than sharing one value IM.