Preliminary Identification of a Prime Number Other Than 2 and 3, the Origin of Twin Prime Numbers, the Structure of the Chain of Prime Numbers and the Set of Prime Numbers Less Than a Given Integer

The application of the Euclidean division theorem for the positive integers allowed us to establish a set which contains all the prime numbers and this set we called it set of supposedly prime numbers and we noted it Esp. We subsequently established from the previous set the set of non-prime numbers (the set of numbers belonging to this set and which are not prime) denoted Enp. We then extracted from the set of supposedly prime numbers the numbers which are not prime and the set of remaining number constitutes the set of prime numbers denoted Ep. We have deduced from the previous set, the set of prime numbers between two natural numbers. We have explained during our demonstrations the origin of the twin prime numbers and the structure of the chain of prime numbers.

Givens矩阵的性质及其在迭代法中的应用

研究了2阶Givens矩阵的一些性质,该矩阵的特征值为复数,谱半径恰好为1;在此基础上通过多个例子展示了Givens矩阵在迭代法中的应用,并从理论上给出了分析.

On English Culture from the Perspective of English Names

Personal names reflect splendid cultures from different perspectives and culture is also restricted the choice of names.English personal names are studied in this paper in order to reveal the culture information reflected in names.

Can first or last name uniqueness help to identify diaspora researchers from any country?

Purpose:Diaspora researchers work in one country but have ancestral origins in another,either through moves during a research career(mobile diaspora researchers)or by starting research in the target country(embedded diaspora researchers).Whilst mobile researchers might be tracked through affiliation changes in bibliometric databases,embedded researchers cannot.This article reports an evidence-based discussion of which countries’diaspora researchers can be partially tracked using first or last names,addressing this limitation.Design/methodology/approach:A frequency analysis of first and last names of authors of all Scopus journal articles 2001-2021 for 200 countries or regions.Findings:There are great variations in the extent to which first or last names are uniquely national,from Monserrat(no unique first names)to Thailand(81%unique last names).Nevertheless,most countries have a subset of first or last names that are relatively unique.For the 50 countries with the most researchers,authors with relatively national names are always more likely to research their name-associated country,suggesting a continued national association.Lists of researchers’first and last name frequencies and proportions are provided for 200 countries/regions.Research limitations:Only one period is tracked(2001-2021)and no attempt was made to validate the ancestral origins of any researcher.Practical implications:Simple name heuristics can be used to identify the international spread of a sample of most countries’diaspora researchers,but some manual checks of individual names are needed to weed out false matches.This can supplement mobile researcher data from bibliometric databases.Originality/value:This is the first attempt to list name associations for the authors of all countries and large regions,and to identify the countries for which diaspora researchers could be tracked by name.

THE BEST LIPSCHITZ CONSTANTS OF BERNSTEIN POLYNOMIALS AND BEZIER NETS OVER A GIVEN TRIANGLE

This paper proved the following three facts about the Lipschitz continuous property of Bernstein polynomials and Bezier nets defined on a triangle: suppose f(P) is a real valued function defined on a triangle T, (1) If f(P) satisfies Lipschitz continuous condition, i. e. f(P)∈Lip4α, then the corresponding Bernstein Bezier net fn∈LipAsecαψα, here ψ is the half of the largest angle of triangle T; (2) If Bernstein Bezier net fn∈ LipBα, then its elevation Bezier net Efn∈LipBα; and (3) If f(P)∈Lipαa, then the corresponding Bernstein polynomials Bn(f;P)∈LipAsecαψα, and the constant Asecαψ best in some sense.

Corporate Social Responsibility and Shipping Supply Chain Risks

This study aims to investigate whether Corporate Social Responsibility(CSR)activities reduce supply chain disruptions by examining the impact of the Suez Canal obstruction on the Ever Given container ship in March 2021.This study conclude that the more responsible companies have higher returns and are less affected by this event than the less responsible companies;the less responsible companies have lower returns.The companies with better CSR have a lower impact on their supply chains when faced with disruptions in the supply chain.

Limit cycles and homoclinic orbits and their bifurcation of Bogdanov-Takens system

A quantitative analysis of limit cycles and homoclinic orbits, and the bifurcation curve for the Bogdanov-Takens system are discussed. The parameter incremental method for approximate analytical-expressions of these problems is given. These analytical-expressions of the limit cycle and homoclinic orbit are shown as the generalized harmonic functions by employing a time transformation. Curves of the parameters and the stability characteristic exponent of the limit cycle versus amplitude are drawn. Some of the limit cycles and homoclinic orbits phase portraits are plotted. The relationship curves of parameters μ and A with amplitude a and the bifurcation diagrams about the parameter are also given. The numerical accuracy of the calculation results is good.

Econometric Model to Estimate the Probability of Default and Loss Given Default in the EBA Stress Test in 2016

In this research,an econometric with panel data using Ordinary least squares OLS model is constructed following the guidelines recommended by the EBA stress test methodology for 2016.The findings indicate that macroeconomic factors affecting defaults are the expected ones in the Spanish credit institutions.However,loan impairments do not follow the patterns that a priori would be normal.Divergent is outcomes in defaults and impairments:the Non-Performing Loans(NPL)is pro-cyclical and impairment losses are counter-cyclical.

The Road Not Taken中的象征主义及其艺术特征

The Road Not Taken是美国著名的现代诗人罗伯特.弗罗斯特的一首广为传诵的诗篇。象征主义在诗中的运用将生活中一个极普通的意象赋予了诸多的内涵和人生哲理,极妙地道出了诗歌的思想主题。此外,在写作风格上,这首诗也很好地体现了作者"旧瓶装新酒"的艺术特征。

英语边缘虚词的语义演变及语法化——以given为例

在现代英语共时平面,given多用作动词give的过去分词,也可作为形容词和边缘虚词出现在正式文本中。从历时看,given从早期的过去分词逐渐演变为形容词、介词和连词,经历了语法化历程。隐喻、重新分析、使用频率和主观化是边缘虚词given语法化的机制和动因。

基于文体学视角浅析The Road Not Taken两译本

The Road Not Taken是美国诗人罗伯特·弗罗斯特的代表作之一。该诗韵律优美,精练短小,但寓意深刻。文学文体学相关理论对于诗歌鉴赏有很好的指导作用。本文基于文体学视角,选取该诗的两个译本,从语音、词汇、句法、修辞等方面对两个译本进行对比分析,比较译本对于原诗的还原程度,为诗歌译本的鉴赏提供参考。

从庞德的诗歌翻译标准看The Road Not Taken两译本——对比分析顾子欣和江枫译本

埃兹拉·庞德基于他个人的诗歌翻译实践提出了诗歌翻译三标准:音乐性;视觉性;直接意义和双关。本文拟从庞德诗歌翻译三标准对比分析顾子欣和江枫The Road Not Taken译本,以期通过这三个维度的对比分析,发掘庞德诗歌翻译三标准对于英诗汉译的影响和价值,从而进一步探讨英诗汉译的可能性与局限性。

从Mathesius到Prince——“Givenness”的不同阐释及其对教学的启示

本文回顾了信息结构理论中围绕已知信息所进行的探讨,重点介绍了Chafe,Clark,Prince三位学者从心理学角度对此问题进行的阐释,并尝试从新的角度解答英语教学中遇到的几个问题。

基于行稀疏同构性的大型电网状态估计Givens旋转策略

为满足大型电网状态估计在线计算速度的需求,提出一种基于行稀疏同构性的快速Givens正交变换旋转策略。该策略利用大型电网状态估计量测分布特点以及加权雅可比矩阵的稀疏特性,根据行同构模式动态选择旋转行对以及基于行稀疏度进行旋转轴选择和行排序,减少非零注入量及Givens旋转次数的同时,大大降低了计算时间。某大型电网计算结果表明,所提出的策略在不改变计算精度的同时,具有更高的计算效率,在Givens旋转效率以及中间非零注入元个数方面都得到了有效提升,满足大型电网实时状态估计计算的要求。

The Optimal Steam Pressure of Thermal Power Plant in a Given Load

As the large change of the grid load, many large capacity units of our country had to change the load in order to meet the gird need. When a thermal power plant receives a given load instruction from the grid, it is necessary to set an optimal steam pressure to maintain the high efficiency of the plant. In the past optimization methods, during the process of calculation, the output of the turbine often changed, it was hard to maintain the output constant. Therefore, in combination with the theory of variable condition of turbine, calculation of governing stage and the matrix equation of thermal power system, an optimization method were put forward and an optimal solution was got in a given load.

从许渊冲的“三美论”赏析诗歌The Road Not Taken--以顾子欣、关山、方平的译本为例

诗歌的语言凝练精粹,内涵丰富,是一种集中体现音美、形美、意美的文学形式。许渊冲先生在长期的诗歌翻译实践中独具见解地提出了译诗的"三美论"原则。运用许渊冲的"三美论"原则分析弗洛斯特的哲理诗The road not taken广为流传,并对其三个中译本对比分析,探讨其中"三美"的展现与得失。

Effects of second diffusing component and cross diffusion on primary and secondary thermoconvective instabilities in couple stress liquids

Linear and weakly nonlinear analyses are made for the Rayleigh-Benard convection in two-component couple-stress liquids with the Soret effect. Conditions for pitchfork, Hopf, Takens-Bogdanov, and codimension-two bifurcations are presented. The Lorenz model is used to study the inverted bifurcation. Positive values of the Soret coefficient favor a pitchfork bifurcation, whereas negative values favor a Hopf bifurcation. Takens-Bogdanov and codimension-two bifurcations are not as much influenced by the Soret coefficient as pitchfork and Hopf bifurcations. The influence of the Soret coefficient on the inverted bifurcation is similar to the influence on the pitchfork bifurcation. The in- fluence of other parameters on the aforementioned bifurcations is also similar as reported earlier in the literature. Using the Newell-Whitehead-Segel equation, the condition for occurrence of Eckhaus and zigzag secondary instabilities is obtained. The domain of ap- pearance of Eckhaus and zigzag instabilities expands due to the presence of the Soret coefficient for positive values. The Soret coefficient with negative values enhances heat transport, while positive values diminish it in comparison with heat transport for the case without the Soret effect. The dual nature of other parameters in influencing heat and mass transport is shown by considering positive and negative values of the Soret coefficient.

Phonetic Features of The Road Not Taken——from the Perspective of Literary Stylistics

Having drawn widespread attention and appreciation,Robert Frost's poem—The Road Not Taken is known to be rich in thematic sensation and meaning.In exploring the enduring charms of this poem,the present paper attempts to analyze it on the phonetic level in perspective of literary stylistics through which the poet enhances the aesthetic beauty in sound.