The Least Distributive Lattice Congruence on Commutative Distributive Semiring

In this paper, we describe the least distributive lattice congruence on a commutative distributive semiring.

Sedimentary characteristics of distributive fluvial system in arid area: A case study of the Shule River distributive fluvial system, NW China

Based on detailed investigation of the modern sedimentation of the distributive fluvial system of Shule River and the data of unmanned aerial vehicle(UAV)aerial photography and satellite remote sensing,the sedimentary characteristics and differences of distributive fluvial system in arid areas are analyzed.By comparing the changes in slope,river morphology and sedimentary characteristics in different sections from the apex to the toe,the distributive fluvial system of Shule River can be divided into three facies belts:"proximal","middle"and"distal".The proximal belt has the largest slope and strongest hydrodynamic condition,mainly appears as large-scale braided river deposits;the fluvial bars in this belt are mainly composed of gravels,the gravels have good roundness and certain directionality,and are medium-large boulders,with low sand content;the main microfacies in this belt are braided channel and flood plain.The middle belt with slope smaller than the proximal belt,is mainly composed of braided bifurcating river deposits.Due to branching and infiltration,this belt has weaker hydrodynamic conditions,so some of the distributive rivers dry up,appearing as ephemeral rivers.This belt has small lenticular sandbodies,fine to medium gravels,higher sand content,and mainly braided channel,flood plain and aeolian dune microfacies.The distal belt has the smallest slope and flat terrain,where the river begins to transform from braided river to meandering river,the sediment is mainly sand.Due to the influence of slope,this belt has weaker erosion toward source and stronger lateral erosion,and point bars developing around the edge of the active lobes.In this belt,the river is completely meandering,and the main microfacies are braided channel,meandering channel,flood plain,aeolian dune,lake and swamp.

Divisible Semiring Congruences on Distributive Semiring

In this paper, we describe all the divisible semiring congruences on a distributive semiring S and also establish a one_to_one, inclusion_preserving mapping from the set of full, closed, self_conjagate, ideal subsemirings of S to the set of all divisible semiring congruences on S.

Linear Dynamical System over Finite Distributive Lattice

A finite dynamical system(FDS)over a lattice L is a pair(S(L),f),where S(L)is a left-L module and f is a mapping from S into itself.The phase space of(S(L),f)is a digraph whose vertex set is S(L)and there is an arc from x to y if y=f(x).Let L be a finite distributive lattice,A an n×n matrix over L,and f(x)=Ax.The structure of the phase space of the FDS(Ln,f)is discussed.The number of limit cycles in the phase space of(Ln,f)is described in Möbius function.The phase spaces of some invertible,nilpotent,and idempotent FDS(Ln,f)are characterized explicitly.

A study on distributive and modular lattice ordered fuzzy soft group and its duality

Soft set theory has a rich potential application in several fields. A soft group is a parameterized family of subgroups and a fuzzy soft group is a parameterized family of fuzzy subgroups. The concept of fuzzy soft group is the generalization of soft group. Abdulkadir Aygunoglu and Halis Aygun introduced the notion of fuzzy soft groups in 2009[1]. In this paper, the concept of lattice ordered fuzzy soft groups and its duality has been introduced. Then distributive and modular lattice ordered fuzzy soft groups are analysed. The objective of this paper is to study the lattice theory over the collection of fuzzy soft group in a parametric manner. Some pertinent properties have been analysed and hence established duality principle.

On the Distributive Justice of Land Added Value in the Process of Urban Expansion

It is an unarguable fact that the urban-rural dual structure led to two different results. On the one hand,it had been playing a great role in the city development and prosperity,and on the other hand,it had led the slow development of rural economy and the income gap between rural and urban areas. The government makes efforts to promote the process of urbanization to maintain the sustained development of China's economy and economic transformation which are the two needs of the Chinese reality. But in the top-level design of the policy,the government did not give a fair profits distribution to all social groups. On the contrary,the result of urban development is based on the expense of a part of the people's interests in exchange for the interests of another parts of the people,and especially on the government expropriation in the process of urban expansion. Under Land Administration Law of the People's Republic of China,the government monopolized the expropriation right of the rural land,and the rural collectives and farmers as the land owner and constructors respectively have no rights to decide the land use purposes. In fact,they are forced to accept the land compensation,and because of the little bargaining rights,they gain little from the land value increment. Comparatively,the governments became the biggest beneficiary who made use of the land as a source and capital to earn the achievement in their official career and more money required by the urban development. The paper mainly analyzes the current situation of the distribution of the land added value,elaborates the reasons why the government strives for the land interests,and discusses what farmers lose in the government expropriation. Last but not lest,the author reflects on the land reform and gives a proposal on distribution of land added value.

Global Distributive Justice and Education

Global distributive justice is directly connected to the increased inequality in the world. This inequality, which includes the huge inequality of education opportunities, is usually understood as unjust. There are two main approaches to this problem： cosmopolitan and statist. Looking from the cosmopolitan point of view, this kind of injustice is related predominantly with the socio-economic relationships among the individuals on the planet. Just the opposite is the view of the so-called statists, who claim that a more just world is not a world of persons who are equal among themselves, but rather a world of nation states which are able to achieve a more just society within their borders and, consequently, a more just and egalitarian global society as well.

Unequal and Universal:The Opposition and Unity of the Confucianism and Mohism in the View of Distributive Justice

Among the hundred schools of scholars in the pre-Qin period,Confucianism and Mohism were prominent.From the perspective of the emotional motivation of distribution and the fact that individual love is unequal,the Confucianism believes that there is an inevitable natural and reasonable distribution gap.From the perspective of distribution results,Mohism,from the ideal inverse of overall utilitarianism,requires the group to“love without unequal”,and believes that the distribution of selfless“universal love”is reasonable.However,the Confucianism and Mohism views on distributive justice are basically the same in the following five aspects.First,equal distribution of basic means of production and livelihood;second,give priority to the elderly and other vulnerable groups in society;third,oppose extreme individualism;fourth,criticize the polarization of too large distribution gap;fifth,public power should be appropriately opened.Therefore,the view of distributive justice of Confucianism and Mohism is both opposite and unified.

Distributive Justice Concept as a Panacea to the Political,Religious,Socio-Economic and Integrity Challenges in the Nigerian Society

It is observed that one of the causes of conflicts and crises in Nigeria society is the inability of the government,religious leaders,politicians and social groups to share equitably benefits,rewards,duties,rights,obligations,and opportunities to the society fairly and excusably to achieve social justice.In the context of the nation’s recent awakening to economic inequalities,it is most helpful here to revisit the meaning and roots of the concept of distributive justice.Distributive justice,requires that the allocation of income,wealth,and power in Nigerian society be evaluated in light of its effects on persons whose basic material needs are unmet.So to address the socio-political,economic,and security challenges of Nigerian society,the unequal distribution of wealth,power,and responsibilities,should be redressed to achieve a peaceful Nigerian society with justice,peace,and security.This work will use qualitative and quantitative methods to undergo the essay.The primary source will be through discussions and interactions with people that have idea on the problems generated by the unequal sharing of the societal power and economic benefits in Nigeria.The secondary source will be the use of the library materials,the Holy Scripture,books,internet,encyclopedia,and journals.Historical,sociological,and analytical approaches will be employed to analyze the data obtained from the sources.The work will dictate the setbacks which Nigeria has suffered by not implementing the principles of distributive justice in the sharing of rewards and responsibilities in Nigerian society.The challenges generated:insecurity,economic depression,political instability that resulted to the creation of different ethnic,religious,and regional militant groups which are strangulating the Nigerian society.To resolve the challenges,the work will address the constitution of the Federal Republic of Nigeria,provisions on the principles of Federal character,Quota System,Fundamental Objectives of State Policy,and the Principles of Fundamental Human Rights as well as considering the implications of the provisions and its effect on the issues to be discussed.Equally,the paper will make recommendations and contribute to how to resolve the irregularities in the sharing of benefits,rewards,and responsibilities in Nigeria society in order to stabilize socio-political,religious,and economic challenges of Nigerian State which will enable us to achieve a peaceful and stable Nigeria with good religion and politics with integrity.

Mathematical Morphological Distributive Concepts over Unions and Intersections

Mathematical Morphological concepts outline techniques for analysing and processing geometric structures based on set theory. In this paper, we present proofs of our theorems on morphological distributive properties over Unions and Intersections with respect to Dilation and Erosion. These results provide new realizations of Dilation, Erosion and conclude that they are distributive over Unions but non-distributive over Intersections.

Education, Political Trust, and Perceptions of Distributive Justice - A Survey Study in China

Using data from the General Social Survey of Wuhan,China in 2014,this study designs three paths to analyze the direct and indirect relationships between education and perception of distributive justice of income.The first path explores whether education directly affects people’s perception of distributive justice.The second path connects education to socioeconomic status to determine whether higher status results in a higher perception of distributive justice.The last path introduces political trust as a mediating variable to evaluate the relationship between political trust and justice perception.Results show that education is the significant factor that affects people’s political trust and perception of distributive justice.

Global exponential stability of mixed discrete and distributively delayed cellular neural network

This paper concernes analysis for the global exponential stability of a class of recurrent neural networks with mixed discrete and distributed delays. It first proves the existence and uniqueness of the balance point, then by employing the Lyapunov-Krasovskii functional and Young inequality, it gives the sufficient condition of global exponential stability of cellular neural network with mixed discrete and distributed delays, in addition, the example is provided to illustrate the applicability of the result.

THE DISTRIBUTION REGION AND THE DISTRIBUTIVE TEMPERATURE AND HUMIDITY THRESHOLD OF OSIER WEEVIL IN CHINA

A distribution map of osier weevil (Crytorrynchus lapathi L.) was drown up based on widely collecting information and field survey. The results showed that Osier weevil has a widespread in China, stretching from 33°21' to 51°42' N latitude and 83°00' to 132°58' E longitude, and distributes in forms of big or small patches or sports uncontinously. According to the analysis of meteorological data, the temperature and humidity threshold for osier weevil's distribution were determined by methods of PCA (Principle Component Analysis) and RA(Relativity Analysis): January temperature is -30~ 0℃. Annual temperature -4~13℃, Annual precipitation from 411~ 1,136 min.The areas with January temperature under 0℃, annual temperature above 0℃ and annual precipitation of 400~ 800 mm are the optimum distributing places for osier weevil in China.

A Devaney Chaotic System Which Is Neither Distributively nor Topologically Chaotic

Weiss proved that Devaney chaos does not imply topological chaos and Oprocha pointed out that Devaney chaos does not imply distributional chaos. In this paper, by constructing a simple example which is Devaney chaotic but neither distributively nor topologically chaotic, we give a unified proof for the results of Weiss and Oprocha.

Analysis of the Sedimentary Characteristics of a Modern Distributive Fluvial System:A Case Study of the Great Halten River in the Sugan Lake Basin,Qinghai,China

Understanding controls on river planform changes can help to build predictive models for distributive fluvial systems,and then guide the oil and gas exploration.To do this we have undertaken a detailed investigation of the modern Great Halten River distributive fluvial system from the Sugan Lake Basin,Qinghai,China.Unmanned aerial vehicle(UAV) photography,satellite remote sensing data and elemental analysis were used to determine differences in the sedimentary characteristics of the distributive fluvial system.From the apex to the toe,the changes in the slope,river morphology,sedimentary characteristics and element content in different regions were determined and three facies belts:“proximal”,“medial” and “distal” were identified.We found that the sedimentary structure and elemental content characteristics of each facies differ greatly.We compare the large-scale evolution of rivers from braided to meandering rivers,and the fine description of sedimentary characteristics in combination with each observation,we strengthen our overall understanding of the modern DFS from macro to micro scale.At the same time,we summarize the sedimentation model of the Great Halten River DFS,and our study provides a reference for establishing the sedimentary model in continental petroliferous basins.

Second-Order Formulas in Action

This survey article illustrates many important current trends and perspectives for the field and their applications, of interest to researchers in modern algebra, mathematical logic and discrete mathematics. It covers a number of directions, including completeness theorem and compactness theorem for hyperidentities;the characterizations of the Boolean algebra of n-ary Boolean functions and the bounded distributive lattice of n-ary monotone Boolean functions;the functional representations of finitely-generated free algebras of various varieties of lattices via generalized Boolean functions, etc.

The Basic Principles and Value Dimensions of Achieving Distributive Justice through Social Institutions

To achieve the value goal of distributive justice, human society turns to the rational design and organization of social institutions. The construction of social institutions aimed at distributive justice should observe the following principles： equal opportunity, equal distribution of benefits and obligations, rational distribution criteria and procedures, and rectification of injustices. Social institutions established on these principles demonstrate inherent fairness and can ensure that social resources are distributed in an equitable way. For social institutions to ensure distributive justice is of great practical significance because this helps society integrate individuals＇ singular intentionality of pursuing distributive justice into a collective intentionality that fosters a social perspective on investigating distributive justice, establishes an egalitarian concept of distributive justice, and provides more effective protection for acts promoting distributive justice and stronger sanctions for acts undermining it. This maintains and enhances the interests of both advantaged and disadvantaged groups in distribution.

The Probability Density Function Related to Shallow Cumulus Entrainment Rate and Its Influencing Factors in a Large-Eddy Simulation

The process of entrainment-mixing between cumulus clouds and the ambient air is important for the development of cumulus clouds.Accurately obtaining the entrainment rate(λ)is particularly important for its parameterization within the overall cumulus parameterization scheme.In this study,an improved bulk-plume method is proposed by solving the equations of two conserved variables simultaneously to calculateλof cumulus clouds in a large-eddy simulation.The results demonstrate that the improved bulk-plume method is more reliable than the traditional bulk-plume method,becauseλ,as calculated from the improved method,falls within the range ofλvalues obtained from the traditional method using different conserved variables.The probability density functions ofλfor all data,different times,and different heights can be well-fitted by a log-normal distribution,which supports the assumed stochastic entrainment process in previous studies.Further analysis demonstrate that the relationship betweenλand the vertical velocity is better than other thermodynamic/dynamical properties;thus,the vertical velocity is recommended as the primary influencing factor for the parameterization ofλin the future.The results of this study enhance the theoretical understanding ofλand its influencing factors and shed new light on the development ofλparameterization.

A game-theoretic approach for federated learning:A trade-off among privacy,accuracy and energy

Benefiting from the development of Federated Learning(FL)and distributed communication systems,large-scale intelligent applications become possible.Distributed devices not only provide adequate training data,but also cause privacy leakage and energy consumption.How to optimize the energy consumption in distributed communication systems,while ensuring the privacy of users and model accuracy,has become an urgent challenge.In this paper,we define the FL as a 3-layer architecture including users,agents and server.In order to find a balance among model training accuracy,privacy-preserving effect,and energy consumption,we design the training process of FL as game models.We use an extensive game tree to analyze the key elements that influence the players’decisions in the single game,and then find the incentive mechanism that meet the social norms through the repeated game.The experimental results show that the Nash equilibrium we obtained satisfies the laws of reality,and the proposed incentive mechanism can also promote users to submit high-quality data in FL.Following the multiple rounds of play,the incentive mechanism can help all players find the optimal strategies for energy,privacy,and accuracy of FL in distributed communication systems.

Distributed Nash Equilibrium Seeking Strategies Under Quantized Communication

This paper is concerned with distributed Nash equi librium seeking strategies under quantized communication. In the proposed seeking strategy, a projection operator is synthesized with a gradient search method to achieve the optimization o players' objective functions while restricting their actions within required non-empty, convex and compact domains. In addition, a leader-following consensus protocol, in which quantized informa tion flows are utilized, is employed for information sharing among players. More specifically, logarithmic quantizers and uniform quantizers are investigated under both undirected and connected communication graphs and strongly connected digraphs, respec tively. Through Lyapunov stability analysis, it is shown that play ers' actions can be steered to a neighborhood of the Nash equilib rium with logarithmic and uniform quantizers, and the quanti fied convergence error depends on the parameter of the quan tizer for both undirected and directed cases. A numerical exam ple is given to verify the theoretical results.