An Analysis of Michael Long’s Interaction Hypothesis in Second Language Acquisition

The Interaction Hypothesis,which was first advanced by Michael Long,is considered as a further supplement or extension of the Input Hypothesis in the field of second language acquisition. This paper explains the main claims of Michael Long's Interaction Hypothesis,the three steps to study how input and interaction affect the acquisition of a second language,and the importance of the interactional modifications applied by both participants of the interaction. Emphasis is placed on the evaluation of the theory as well as its relation to second language teaching,with many researchers' findings and arguments discussed as supporting evidence. It aims to help the effective application of this theory in second language teaching.

A review of the neurotransmitter system associated with cognitive function of the cerebellum in Parkinson's disease

The dichotomized brain system is a concept that was generalized from the‘dual syndrome hypothesis’to explain the heterogeneity of cognitive impairment,in which anterior and posterior brain systems are independent but partially overlap.The dopaminergic system acts on the anterior brain and is responsible for executive function,working memory,and planning.In contrast,the cholinergic system acts on the posterior brain and is responsible for semantic fluency and visuospatial function.Evidence from dopaminergic/cholinergic imaging or functional neuroimaging has shed significant insight relating to the involvement of the cerebellum in the cognitive process of patients with Parkinson’s disease.Previous research has reported evidence that the cerebellum receives both dopaminergic and cholinergic projections.However,whether these two neurotransmitter systems are associated with cognitive function has yet to be fully elucidated.Furthermore,the precise role of the cerebellum in patients with Parkinson’s disease and cognitive impairment remains unclear.Therefore,in this review,we summarize the cerebellar dopaminergic and cholinergic projections and their relationships with cognition,as reported by previous studies,and investigated the role of the cerebellum in patients with Parkinson’s disease and cognitive impairment,as determined by functional neuroimaging.Our findings will help us to understand the role of the cerebellum in the mechanisms underlying cognitive impairment in Parkinson’s disease.

Analysis of Krashen's Affective Filter Hypothesis

Affective filter hypothesis is one of Krashen's five hypotheses on Second Language Acquisition (SLA), and it states that a number of affective variables play a very important role in Second Language Acquisition. Based on the introduction of affective filter hypothesis, this paper will analyze the significance and shortcomings of this hypothesis.

Brain Localization and the Integrated Systems Hypothesis: Evidence from Broca’s Region

The human brain is a fascinatingly complex organ with specialized structures associated with distinct functions. Classical and recent studies on brain localization propose that Broca’s area underpin expressive language and this has been generalized to explain brain functional organization. However, recent neuroimaging studies have shown that the Broca’s area is an extended network that not only participate in its primary function-expressive language processing but in secondary functions-processing non-linguistic/nonverbal tasks as well. Also, there is hierarchical connectivity and interaction of Broca’s region and different brain areas in underlying related primary functions. For this review, I start with revisiting the classical description of brain localization. I then discuss the neuroanatomy of language production and the role of Broca’s region in language processing. I then highlight the participation of the Broca’s area in non-linguistic tasks and non-primary linguistic tasks. Ultimately, I propose a novel hypothesis called integrated systems hypothesis. The integrated systems hypothesis is useful for guiding research on the multimodal role of specific localized integrated systems of the brain especially the role of the Broca’s region in integrating linguistic and non-linguistic processing and how this facilitate language production.

The Mathematics of Harmony. Proclus’ Hypothesis and New View on Euclid’s Elements and History of Mathematics Starting since Euclid

We are discussing one of the most unlikely hypotheses in the history of mathematics—Proclus’ hypothesis, which overturns a traditional view on Euclid’s Elements and the history of mathematics, starting since Euclid. According to Proclus, the main goal of Euclid, when writing the Elements, was to build a complete geometric theory of Platonic solids (Book XIII), associated in the ancient philosophy (Pythagoras, Plato) with the Universe harmony. To construct this theory, Euclid introduced in Book II the problem of dividing a segment into extreme and mean ratio (the “golden section”). It follows from Proclus’ hypothesis that Euclid’s Elements are the first attempt to create the “Mathematical Theory of the Universe Harmony”, based on Platonic solids and the “golden section”.

Riemann Hypothesis and Value Distribution Theory

Riemann Hypothesis was posed by Riemann in early 50’s of the 19th century in his thesis titled “The Number of Primes less than a Given Number”. It is one of the unsolved “Supper” problems of mathematics. The Riemann Hypothesis is closely related to the well-known Prime Number Theorem. The Riemann Hypothesis states that all the nontrivial zeros of the zeta-function lie on the “critical line” . In this paper, we use Nevanlinna’s Second Main Theorem in the value distribution theory, refute the Riemann Hypothesis. In reference [7], we have already given a proof of refute the Riemann Hypothesis. In this paper, we gave out the second proof, please read the reference.

全国市场VS区域市场:碳市场有效性的差异、成因及其对策

对碳市场有效性进行测度、把握碳市场运行效率,有利于进一步推动碳交易机制优化和效率提升。本文以全国碳排放权交易市场及8个区域试点碳市场为研究对象,以2021年7月16日至2023年6月16日碳配额成交均价为样本,运用结构突变检验法与重标极差分析法对各个碳市场整体与阶段运行效率进行测度。研究结果表明:全国碳市场整体运行效率偏低,仅第一阶段达到了弱式有效水平;在区域试点碳市场中北京碳市场达到弱式有效,若考虑结构突变点时,则上海、广东、湖北、深圳和重庆碳市场达到阶段性弱式有效。在此基础上,进一步剖析了全国碳市场有效性较低的影响因素,并有针对性地提出对策建议。

Application of Hypothesis of Replacement at the Analysis of a Slow Flow of a Body by a Viscous Fluid

On the basis of hypothesis of replacement and the vector formula of Newton’s law for a viscous fluid the way of a finding of resistance a slow flow by an incompressible fluid of bodies of the various form is represented. Application of an offered way to calculation of a flow of various bodies is shown: a sphere, a cylinder, a oblong ellipsoid, a flat plate. Comparison with results of other authors is given.

Solutions to Beal’s Conjecture, Fermat’s Last Theorem and Riemann Hypothesis

A Simple Mathematical Solutions to Beal’s Conjecture and Fermat’s Marginal Conjecture in his diary notes, Group Theoretical and Calculus Solutions to Fermat’s Last theorem & Integral Solution to Riemann Hypothesis are discussed.

Testing on Sapir-Whorf Hypothesis

This paper demonstrates two versions of Whorf hypothesis by giving a conclusion of its commonality and differences. Besides, some classical experiments of testing the hypothesis are given and the author constructs an experimental model of testing the weak version of the hypothesis under the instruction of Carroll's three thinking.

The Proof of the Generalized Piemann’s Hypothesis

The article presents the proof of the validity of the generalized Riemann hypothesis on the basis of adjustment and correction of the proof of the Riemanns hypothesis in the work?[1], obtained by a finite exponential functional series and finite exponential functional progression.

Riemann Hypothesis, Catholic Information and Potential of Events with New Techniques for Financial and Other Applications

In this research we are going to define two new concepts: a) “The Potential of Events” (EP) and b) “The Catholic Information” (CI). The term CI derives from the ancient Greek language and declares all the Catholic (general) Logical Propositions () which will true for every element of a set A. We will study the Riemann Hypothesis in two stages: a) By using the EP we will prove that the distribution of events e (even) and o (odd) of Square Free Numbers (SFN) on the axis Ax(N) of naturals is Heads-Tails (H-T) type. b) By using the CI we will explain the way that the distribution of prime numbers can be correlated with the non-trivial zeros of the function ζ(s) of Riemann. The Introduction and the Chapter 2 are necessary for understanding the solution. In the Chapter 3 we will present a simple method of forecasting in many very useful applications (e.g. financial, technological, medical, social, etc) developing a generalization of this new, proven here, theory which we finally apply to the solution of RH. The following Introduction as well the Results with the Discussion at the end shed light about the possibility of the proof of all the above. The article consists of 9 chapters that are numbered by 1, 2, …, 9.

Flat Space Cosmology as a Model of Penrose’s Weyl Curvature Hypothesis and Gravitational Entropy

FSC is shown to be an excellent model of Penrose’s Weyl curvature hypothesis and his concept of gravitational entropy. The assumptions of FSC allow for the minimum entropy at the inception of the cosmic expansion and rigorously define a cosmological arrow of time. This is in sharp contrast to inflationary models, which appear to violate the second law of thermodynamics within the early universe. Furthermore, by virtue of the same physical assumptions applying at any cosmic time t, the perpetually-flat FSC model predicts the degree of scale invariance observed in the CMB anisotropy pattern, without requiring an explosive and exceedingly brief inflationary epoch. Penrose’s concepts, as described in this paper, provide support for the idea that FSC models gravitational entropy and Verlinde’s emergent gravity theory.

R/S分析模型与中国证券市场有效性检验

在介绍市场有效性及其一般检验模型的基础上 ,引进 Hurst指数和 R/ S分析模型并对中国证券市场的有效性进行实证研究 .

我国证券市场波动的Hurst指数

证券市场的波动不服从布朗运动 ,而服从分数布朗运动。Hurst指数是描述分数布朗运动的重要指标。利用R/S分析方法计算出我国证券市场收益率序列的Hurst指数为 0 .6 8。从而说明我国证券市场的波动具有明显的持久性。

VR1^+细胞模型的构建和Nielsen假说的验证

为研究类香草素受体(vanilloidreceptortype1,VR1)作为刺激性室内空气污染物的触发性生物靶分子的生理作用,在VR1cDNA质粒基础上,应用分子克隆和细胞转染技术构建了体外培养的VR1+HEK293细胞模型,应用此细胞模型进行辣椒素和甲醛致VR1+HEK293细胞死亡实验.结果表明,VR1+HEK293细胞模型构建成功,VR1+细胞死亡实验是一种简便有效的鉴定VR1体外表达的实验方法;甲醛能够激活VR1,且激活反应能被VR1特异性拮抗剂capsazepine所阻断,从而推断甲醛对气道的刺激作用也是通过VR1所介导的.用体外细胞学实验证实了VR1是甲醛作用的生物靶分子,以实验证实了Nielsen假说的正确性.

基于R/S分析的上海股市有效性实证研究

以上海股票市场为研究对象,以1995年10月24日至2009年3月16日这一时间段的上证综合指数日收盘价对数收益率序列为研究样本,利用R/S分析方法计算出上证指数的Hurst指数,并对上海股市分形特征加以描述。实证结果表明,上证综合指数日收益率序列的Hurst指数为0.619607,明显偏离0.5,说明上海股票市场具有明显的分形特征,投资者可以通过分析股价的历史数据来获得超额利润,因而市场是无效的。最后,分析了上海股市无效的原因,并提出了政策和建议。

部门生产率、汇率与结构性通货膨胀——基于B-S假说的拓展研究

通货膨胀是一国经济高速增长时期频发的经济现象,它的形成有结构性原因。基于B-S(巴拉萨-萨缪尔森)假说构建了新的理论框架分析结构性通货膨胀形成的内在机理,然后利用中国30多年经济发展的相关数据对部门劳动生产率增长差异与通货膨胀之间的关系进行了实证分析。实证分析表明,部门生产率增长差异是通货膨胀形成的重要原因,货币供给量、汇率也是影响我国通货膨胀的重要因素。

Alzheimer's disease: the silver tsunami of the 21^(st) century

Alzheimer＇s disease（AD）, a fatal progressive neurodegenerative disorder, has no cure to date. One of the causes of AD is the accumulation of amyloid-beta 42（Aβ42） plaques, which result in the onset of neurodegeneration. It is not known how these plaques trigger the onset of neurodegeneration. There are several animal models developed to（i） study etiology of disease,（ii） look for genetic modifiers, and（iii） identify chemical inhibitors that can block neurodegeneration and help to find cure for this disease. An insect model of Drosophila melanogaster has also provided new insights into the disease. Here we will discuss the utility of the Drosophila eye model to study Alzheimer＇s disease.

A Solution to the Famous “Twin’s Problem”

In the following pages I will try to give a solution to this very known unsolved problem of theory of numbers. The solution is given here with an important analysis of the proof of formula (4.18), with the introduction of special intervals between square of prime numbers that I call silver intervals . And I make introduction of another also new mathematic phenomenon of logical proposition “In mathematics nothing happens without reason” for which I use the ancient Greek term “catholic information”. From the theorem of prime numbers we know that the expected multitude of prime numbers in an interval is given by formula ?considering that interval as a continuous distribution of real numbers that represents an elementary natural numbers interval. From that we find that in the elementary interval around of a natural number ν we easily get by dx=1 the probability that has the ν to be a prime number. From the last formula one can see that the second part of formula (4.18) is absolutely in agreement with the above theorem of prime numbers. But the benefit of the (4.18) is that this formula enables correct calculations in set N on finding the multitude of twin prime numbers, in contrary of the above logarithmic relation which is an approximation and must tend to be correct as ν tends to infinity. Using the relationship (4.18) we calculate here the multitude of twins in N, concluding that this multitude tends to infinite. But for the validity of the computation, the distribution of the primes in a random silver interval is examined, proving on the basis of catholic information that the density of primes in the same random silver interval is statistically constant. Below, in introduction, we will define this concept of “catholic information” stems of “information theory” [1] and it is defined to use only general forms in set N, because these represent the set N and not finite parts of it. This concept must be correlated to Riemann Hypothesis.