Representation of an Integer by a Quadratic Form through the Cornacchia Algorithm

Cornachia’s algorithm can be adapted to the case of the equation x2+dy2=nand even to the case of ax2+bxy+cy2=n. For the sake of completeness, we have given modalities without proofs (the proof in the case of the equation x2+y2=n). Starting from a quadratic form with two variables f(x,y)=ax2+bxy+cy2and n an integer. We have shown that a primitive positive solution (u,v)of the equation f(x,y)=nis admissible if it is obtained in the following way: we take α modulo n such that f(α,1)≡0modn, u is the first of the remainders of Euclid’s algorithm associated with n and α that is less than 4cn/| D |) (possibly α itself) and the equation f(x,y)=n. has an integer solution u in y. At the end of our work, it also appears that the Cornacchia algorithm is good for the form n=ax2+bxy+cy2if all the primitive positive integer solutions of the equation f(x,y)=nare admissible, i.e. computable by the algorithmic process.

Meaning's Death and Rebirth-Analysis on the Content and Form of Robert Morgan's"Mountain Graveyard"

This thesis mainly analyzes the content and form of Robert Morgan's postmodern poem"Mountain Graveyard". With New Criticism's method of close reading, it firstly explores the possible interpretations of the poem's content. Then it analyzes the post-modernity due to the poem's form, pointing out that with the unique form breaking traditional poetry's conventions, and the upspring of multiple meanings from the content, this poem presents brilliantly the postmodern spirit, which rejects definite centers and embraces various diversity of meaning.

Supplemental feeding on rangelands:new dynamics of the livestock in the El Ouara rangelands in southern Tunisia

Fodder production in arid rangelands has been traditionally considered as the main source of nutrition for livestock.However,the production of these fodder may be influenced by some socio-economic and climatic factors.This study aims to identify the various rangeland use forms and determine the types of livestock feeding system in the El Ouara rangelands of Ben guarden District in southern Tunisia by analysing the importance of supplemental feeding and main determinants of this practice.Data were collected by a survey that targeted a sample of 50 breeders in the El Ouara rangelands.Descriptive statistics and binary logistic regression were used to analyse the data.The results showed that there are two types of association practiced by breeders:“Cherka”association practiced by 10.00% of breeders and cash payment association practiced by 53.00% of breeders.Then,transhumance,sedentary,and semi-urban forms are the main ways in which breeders use the rangelands.There are four livestock feeding systems in the El Ouara rangelands being used to feed livestock:natural rangeland,rangeland-based,mixed,and concentrate-based feeding systems.Supplemental feeding has become fundamental for the livestock feeding system in the El Ouara rangelands.The breeders with the largest camel size still use the natural rangeland feeding system,while the breeders who have the largest herd size practice the mixed feeding system.The logistic regression results reveal that breeder age,cereal area,herd size,migrant remittance,second activity,and agricultural development group membership can significantly impact the supplemental feeding.In summary,this study can help policy-makers plan innovative practices based on climatic change,ensure the sustainability of livestock feeding system,and make effective decisions for local development.

The Processing Mechanism of Associative Meaning Under the Cognitive Context Based on Culture

Cognitive context is the cognitionalized context of language, situation and context of culture by the individual which is stored and stimulated in individual＇s mind when meaning is processed. The focus of this article is on context of culture cognitionalized by individuals. Cognitive context based on culture is the inner force of the processing of associative meaning. Cognitive context reflects the similarities and differences of the understanding of different cultural communities towards the world around them.

An Integration of Meaning-Focused and Form-Focused Approach in EFL Reading and Writing——a Conceptual Inquiry and Experiment

Whether to adopt the meaning-oriented or form-oriented approach in EFL teaching has been in hot academic debate in the past decades. This paper investigates the literature contribution on these two methods, attempts an integration of the two,and introduces a teaching experiment of EFL reading and writing at China Agricultural University.

Desensitization of G-protein-coupled receptors induces vascular hypocontractility in response to norepinephrine in the mesenteric arteries of cirrhotic patients and rats

BACKGROUND: The increased β-arrestin-2 and its combination with G-protein-coupled receptors (GPCRs) lead to GPCRs desensitization. The latter may be responsible for decreased contractile reactivity in the mesenteric arteries of cirrhotic patients and rats. The present study is to investigate the machinery changes of α-adrenergic receptors and G proteins and their roles in the contractility of mesenteric arteries of cirrhotic patients and animal models. METHODS: Patients with cirrhosis due to hepatitis B and cirrhotic rats induced by CCl 4 were studied. Mesenteric artery contractility in response to norepinephrine was determined by a vessel perfusion system. The contractile effect of G protein-coupled receptor kinase-2 (GRK-2) inhibitor on the mesenteric artery was evaluated. The protein expression of the α 1 adrenergic receptor, G proteins, β-arrestin-2, GRK-2 as well as the activity of Rho associated coiled-coil forming protein kinase-1 (ROCK-1) were measured by Western blot. In addition, the interaction of α 1 adrenergic receptor with β-arrestin-2 was assessed by co-immunoprecipitation. RESULTS: The portal vein pressure of cirrhotic patients and rats was significantly higher than that of controls. The doseresponse curve to norepinephrine in mesenteric arteriole was shifted to the right, and EC 50 was significantly increased in cirrhotic patients and rats. There were no significant differences in the expressions of the α 1 adrenergic receptor and G proteins in the cirrhotic group compared with the controls. However, the protein expressions of GRK-2 and β-arrestin-2 were significantly elevated in cirrhotic patients and rats compared with those of the controls. The interaction of the α 1 adrenergic receptor and β-arrestin-2 was significantly aggravated. This interaction was significantly reversed by GRK-2 inhibitor. Both the protein expression and activity of ROCK-1 were significantly decreased in the mesenteric artery in patients with cirrhosis compared with those of the controls, and this phenomenon was not shown in the cirrhotic rats. Norepinephrine significantly increased the activity of ROCK-1 in normal rats but not in cirrhotic ones. Norepinephrine significantly increased ROCK-1 activity in cirrhotic rats when GRK-2 inhibitor was used. CONCLUSIONS: β-arrestin-2 expression and its interaction with GPCRs are significantly upregulated in the mesenteric arteries in patients and rats with cirrhosis. These upregulations result in GPCR desensitization, G-protein dysfunction and ROCK inhibition. These may explain the decreased contractility of the mesenteric artery in response to vasoconstrictors.

ON THE EQUIVALENCE OF PDA ALGORITHM AND SIC-MMSE ALGORITHM

In this letter,by employing Gaussian distribution to approximate the probability density function(pdf) of the extrinsic information at the output of the multiuser detector as a function of the pdf of the input extrinsic messages,it is concluded that the Probabilistic Data Association(PDA) algorithm is equivalent to the Soft Interference Cancellation plus Minimum Mean Square Error algo-rithm(SIC-MMSE) .

How to Reproduce the Meaning of the Prose Accurately

The essence of prose lies in expressing meaning and feeling of the prose, describing things and reasoning in real,plain and direct way, which is referred as its natural character. What the prose requires is to strive to make equivalence in the meaning, forms, taste, style and other aspects with the original text. What the prose express is not only the thematic meaning but also the stylistic meaning, in other words, the meaning that was contained in the content and forms. Hilaire Belloc, a famous prolific writer and historian, have formulated the six principles in translation of prose, in which he believes that the essence of translating is the resurrection of an alien thing in a native body.

Contemporary Development in College Grammar Instruction—The Application of Focus on Form Approach

Based on the theoretical presentations of a contemporary development in grammar instruction named focus on form as well as the analysis of the need for such grammar instructional approach utilized in Chinese college classrooms, this paper attempts to make a tentative proposal to apply focus on form approach to grammar teaching in colleges through recommending practicable instructional reflections.

Determining Nuclear Form factor for Detection of Dark Matter in Relativistic Mean Field Theory

In this work, we derive the nuclear form factor for the spin-independent collision between the WIMPs and nucleus in terms of the relativistic mean field （RMF） theory. Comparison with the traditional form factors which are commonly used in literature is given and it is found that our results are slightly above that of the 2PF model by 4% to 8%, but deviate from the Helm form factor by 15% to 25% for the whole recoil energy spectrum of 0 -100 keV. Moreover, taking Xe and Ge as examples, we show the dependence of the form Factor on the recoil energy.

ON THE COMPLETE 2-DIMENSIONALλ-TRANSLATORS WITH A SECOND FUNDAMENTAL FORM OF CONSTANT LENGTH

In this article we study the two-dimensional completeλ-translators immersed in the Euclidean space R^3 and Minkovski space R1^ 3.We obtain two classification theorems:one for two-dimensional completeλ-translators x:M 2→R^3 and one for two-dimensional complete space-likeλ-translators x:M 2→R1^3,with a second fundamental form of constant length.

Protection of Women's Rights Means Human Rights Protection——Marking the 30th anniversary of the Convention on the Elimination of All Forms of Discrimination against Women

On December 18, 1979, the 34th General Assembly of the United Nations adopted the Convention on the Elimination of All Forms of Discrimination against Women with an overwhelming majority of the votes in its favor. Over the past 30 years, the Convention has come to be known by increasing numbers of governments and people, particularly women＇s organizations. It has played an increasingly great role in protecting women＇s rights and enhancing women＇s status in society.

Research on the Optimization of Teaching and Learning Path in the Context of Educational Data

With the repeated in-depth development of the technological revolution,the combination of education and technology constantly shows a new form.Modern education and Internet education have become the new direction of the current education development efforts.The development of technology has brought great Gospel for the national education.Based on this,from the traditional and modern perspectives,this paper discusses the form and significance of teaching and learning paths,to show the new value of education brought by the change of teaching and learning paths under the background of educational data.

Cultural Context and Associative Meaning of Words in Cross-culture Communication

Language is the vehicle of culture, vocabulary is the most active part of a language. This article compares and analyses the relationship of cultural context and the associative meaning of words in three aspects—associative meaning overlap, associative meaning mismatch and associative meaning gap, revealing its importance in the cross-cultural communication.

Associative Meanings of Colors in Chinese and English Cultures

Colors are endowed into many different associative meanings by different peoples and countries under the various cultural backgrounds and people make it express testimonial and depreciated meaning. There is not only the same aspect, but also the differences. Moreover, some factors such as geographical environment, public sentiment custom, thinking mode, religious belief, and national psychology also influence it. Each kind of color is regarded the difference for every nation's person. This article analyzes and investigates the associative meaning of the color in the Chinese and English cultures. And then it will let the reader learn well and more the associative meaning under the different cultural background.

A Study of the Negative Category in Modern Russian

Againstthetheoreticalbackgroundofthetheory"dialecticalrelationbetweenlanguageandthought",theauthormakesanoverallandsystematicstudyofthenegativecategoryinmodernRussian,fromtheperspectiveofgrammarsemanticsandpragmatics.Thestudycombinesformwithmeaning,s...

Helicoidal Surfaces and Their Relationship to Bonnet Surfaces

An important question that arises is which surfaces in three-space admit a mean curvature preserving isometry which is not an isometry of the whole space. This leads to a class of surface known as a Bonnet surface in which the number of noncongruent immersions is two or infinity. The intention here is to present a proof of a theorem using an approach which is based on differential forms and moving frames and states that helicoidal surfaces necessarily fall into the class of Bonnet surfaces. Some other results are developed in the same manner.

On Nonce Variant of English Idioms

English idiom variant refers to the form of idiom created by means of altering some original components,structures,or meanings of the former idioms.The nonce variant of English idioms can be analyzed from the following three aspects:reasons for formation of nonce variant,types into which it could be divided,and rhetorical functions it is capable of producing.Through the analysis of these three aspects,it is almost likely for language-users to realize the importance and modes of idiom’s renovation,get a better understanding of English idioms,and thus utilize English idioms more skillfully.

A Poem of Exotic Tragic Beauty ——Appreciation of The Road Not Taken by Robert Frost

The Road Not Taken is one of the best known poems by Robert Frost.Simple and beautiful in form,it is profound in meaning.It reflects the tragedy of human beings as a whole and also the personal tragedy of the poet himself,and as a consequence,it is tinted with an exotic sense of tragic beauty.

A Comparison between Focus on Meaning and Focus on Form Instruction

In the research field of Second Language Acquisition (SLA),how language input should be presented to language learners in the classroom has been an issue generating considerable discussion and experimentation. The recent debate is whether focus on form (FonF) instruction has more advantages over focus on meaning (FonM) instruction in foreign language teaching or vice versa. The purpose of the paper is to review the relevant previous literature and empirical researches for a detailed comparison and analysis of the two approaches and finally present a conclusion for further discussion.