Special Relativity’s “Newtonization” in Complex “Para-Space”: The Two Theories Equivalence Question

Complex model, say C3, of “para-space” as alternative to the real M4 Minkowski space-time for both relativistic and classical mechanics was shortly introduced as reference to our previous works on that subject. The actual aim, however, is an additional analysis of the physical and para-physical phenomena’ behavior as we formally transport observable mechanical phenomena [motion] to non-real interior of the complex domain. As it turns out, such procedure, when properly set, corresponds to transition from relativistic to more classic (or, possibly, just classic) kind of the motion. This procedure, we call the “Newtonization of relativistic physical quantities and phenomena”, first of all, includes the mechanical motion’s characteristics in the C3. The algebraic structure of vector spaces was imposed and analyzed on both: the set of all relativistic velocities and on the set of the corresponding to them “Galilean” velocities. The key point of the analysis is realization that, as a matter of fact, the relativistic theory and the classical are equivalent at least as for the kinematics. This conclusion follows the fact that the two defined structures of topological vector spaces i.e., the structure imposed on sets of all relativistic velocities and the structure on set of all “Galilean” velocities, are both diffeomorphic in their topological parts and are isomorphic as the vector spaces. As for the relativistic theory, the two approaches: the hyperbolic (“classical” SR) with its four-vector formalism and Euclidean, where SR is modeled by the complex para-space C3, were analyzed and compared.

THE EQUIVALENCE THEORY OF NATIVE SPACES

In this paper some equivalence definitions are given for native spaces which were introduced by Madych and Nelson and have become influential in the theory of radial basis functions. The abstract elements in native spaces are interpreted. Moreover, Weinrich and Iske's theories are unified.

Translating COVID Tests Terms From Chinese Into English in the Light of Functional Equivalence Theory

Communication of the various testing methods of COVID-19 is vital for English speakers within China and with the outside world.This research is set to find out the appropriate translation of the Chinese phrases referring to COVID-19 tests in English,in light of functional equivalence theory,which is expected to help correct mistakes and facilitate understanding between people speaking the two languages.

A Study on English-Chinese Translation of Business Contracts Based on the Functional Equivalence Theory

This study explores the translation of business English contracts from English to Chinese from the perspective of functional equivalence.The functional equivalence theory involves three aspects of functional equivalence:lexical equivalence,sentential equivalence,and textual equivalence.As far as translation is concerned,translators adopt different translation techniques for different types of texts,striving to achieve equivalence in lexical,sentential,and textual functions.Therefore,translators are to recognize the different characteristics of business English contracts and highlight English translation styles and characteristics with the help of the functional equivalence theory.

A Study of Animal Idioms Translation From Perspective of Functional Equivalence

Animal idioms,the deposit of broad and profound culture,show significant impacts on humans.It is more often than not that people associate their feelings and emotions,even social events and natural phenomena with various animals.But the meaning it conveys varies from countries and regions causing misunderstanding and long-lasting jokes owing to several factors.To avoid it,the study of idioms with animal vocabulary becomes more imperative.This thesis will focus on the study of animal idiom translation from the perspective of functional equivalence.By targeting the difficulties in animal idiom translation and using different translation skills,it aims to offer readers a chance to derive similar response home and overseas,so that they have an access to avoid culture shock and misunderstanding.

Analysis of the Translation Strategies in the Chinese Version of Tuesday with Morrie from the perspective of functional equivalence theory

Considering the discrepancy of culture and linguistics between English and Chinese, it is inevitable to miss some information when converting source language into target language. According to Nida's functional equivalence theory, the target readers should receive the same reaction with the source text readers. So in order to achieve this objective, translators need to make changes of the original text by applying certain translation strategies. This essay will analyze four strategies used in the novel Tuesday with Morrie in light of functional equivalence theory. It is concluded that the strategies are really helpful for the target readers to understand the original text and acquire more knowledge about the source language culture.

The Application of Equivalence Theory in Chinese translation of English films

English film language differs from the written literary language in semantic, vocabulary, pronunciation and intonation.Therefore, the translation of English films should be treated in a different way. The paper tends to discuss the translation of English films under the Equivalence theory and points out the criteria of exactness, naturalness and vividness in film translation as well as the its special requirement for the purpose of giving the audience a better and enjoyable understanding of English films.

A Functional-Equivalence Approach to Two English Versions of Hao’liao’ge

The understanding of Hao’liao’ge is very important for the understanding of Hong’lou’meng so Hao’liao’ge can be said to be the key point of the whole novel.Therefore,it is necessary to pay attention to the comparative study of English translation of Hao’liao’ge in the English translation studies of Hong’lou’meng.Nida's Functional Equivalence Theory will be used to com⁃pare and analyze the two translations of Hao’liao’ge and explore the different translation strategies of the two translators,hoping to have some inspiration for poetry translation and give Chinese and English readers a deeper understanding of Hao’liao’ge.

A Research on E-C Translation Methods of Business Contracts from the Perspective of Functional Equivalence Theory

As economic globalization continues to develop increasingly,political and economic trade has become more frequent.In international activities,business contracts are important legal documents,and all international business activities require the signing of contracts,which has greatly increased the demand for translation of business contracts.Based on the functional equivalence theory,this paper analyzes the translation of E-C business contracts with the characteristics of business contracts.This paper aims to provide a theoretical basis and a practical translation strategy for E-C translation of business contracts,and to solve problems encountered in the translation practice.

Application of the Functional Equivalence Theory in Movie Subtitle Translation—Exemplified by Three Billboards Outside Ebbing,Missouri

In recent years,foreign films have been introduced into China,which have a tremendous impact on people’s social life.As a major tool for obtaining information and enjoying entertainment,film subtitle translation is becoming increasingly important.Meanwhile,the English level and appreciation ability of domestic audience is continuously improving with the change of the times,and their demand and requirement for subtitle translation are also improving.Nowadays,there are still many immature parts in sub⁃title translation,and the theory in China is relatively deficient.Therefore,the subtitle translation level of film needs to be rose.The translator constantly improves the translation ability by using translation theories and skills.Based on the theory of functional equiv⁃alence,this thesis translates the subtitle of the film Three Billboards Outside Ebbing,Missouri.Firstly,this paper briefly introduces the development of the film subtitle translation and the film.Secondly,it introduces the translation theories and skills applied in translation practice,making a particular analysis in combination with specific practical cases.Finally,the translator makes a sum⁃mary for the translation process.The translator hopes that through the translation practice,some attempts can be made for future re⁃search in subtitle translation.

English Sports News Vocabulary Translation From the Perspective of Functional Equivalence Theory

With the widespread development of international sports events, more and more people pay attention to the international sports games by reading sports news or watching sports videos. Since English is the universal language, the news of these sports events is mostly reported in English. However,English sports news could bring some reading difficulties for Chinese readers. In the author's view, words are the basic elements of the English sports news language. It is of significance to study English sports news lexis. Under the guidance of Functional Equivalence Theory,this study attempts to explore the lexical features of English sports news and to analyze some useful lexical translation strategies. The results of the study show that Nida's Functional Equivalence Theory is applicable to the lexical translation of English sports news. It is recommended that translators follow Nida's equivalence theory during the translation.

An equivalent-tool theory for acoustic logging and applications

The influence of an acoustic logging tool on borehole guided wave propagation should be considered in the processing and inversion of the guided waves for formation acoustic property estimation. This study introduces an equivalent-tool theory that models the tool response using an elastic rod with an effective modulus and applies the theory to multipole acoustic logging for both wireline and logging while drilling （LWD） conditions. The theory can be derived by matching the tool’s acoustic impedance/conductance to that of the multipole acoustic wavefield around the tool, assuming that tool radius is small compared to wavelength. We have validated the effectiveness and accuracy of the theory using numerical modeling and its practicality using field data. In field data applications, one can calibrate the tool parameters by fitting the theoretical dispersion curve to field data without having to consider the actual tool’s structure and composition. We use a dispersion correction example to demonstrate an application of the simple theory to field data processing and the validity of the processing result.

Fast computation of scattering from 3D complex structures by MLFMA

This paper introduces the research work on the extension of multilevel fast multipole algorithm （MLFMA） to 3D complex structures including coating object, thin dielectric sheet, composite dielectric and conductor, cavity. The impedance boundary condition is used for scattering from the object coated by thin lossy material. Instead of volume integral equation, surface integral equation is applied in case of thin dielectric sheet through resistive sheet boundary condition. To realize the fast computation of scattering from composite homogeneous dielectric and conductor, the surface integral equation based on equivalence principle is used. Compared with the traditional volume integral equation, the surface integral equation reduces greatly the number of unknowns. To computc conducting cavity with electrically large aperture, an electric field integral equation is applied. Some numerical results are given to demonstrate the validity and accuracy of the present methods.

An anisotropic micromechanics model for predicting the rafting direction in Ni-based single crystal superalloys

An anisotropic micromechanics model based on the equivalent inclusion method is developed to investigate the rafting direction of Ni-based single crystal superalloys. The micromechanical model considers actual cubic structure and orthogonal anisotropy properties. The von Mises stress, elastic strain energy density, and hydrostatic pressure in dif- ferent inclusions of micromechanical model are calculated when applying a tensile or compressive loading along the [001] direction. The calculated results can successfully pre- dict the rafting direction for alloys exhibiting a positive or a negative mismatch, which are in agreement with pervious experimental and theoretical studies. Moreover, the elastic constant differences and mismatch degree of the matrix and precipitate phases and their influences on the rafting direction are carefully discussed.

Teleparallel equivalent theory of (1+1)-dimensional gravity

A theory of （1＋1）-dimensional gravity is constructed on the basis of the teleparallel equivalent of general relativity. The fundamental field variables are the tetrad fields ei^μ and the gravity is attributed to the torsion. A dilatonic spherically symmetric exact solution of the gravitational field equations characterized by two parameters M and Q is derived. The energy associated with this solution is calculated using the two-dimensional gravitational energy- momentum formula.

Equivalent sample theory of networked control systems and its application

The equivalent sample theory and its application in analysis of networked control system （NCS） are presented. After analyzing NCS＇s scheduling in master-slave mode, the characteristics of time delay and sample are summarized. Looking on master station visiting the slave station as a special sample process, the theory of equivalent sample is presented. And based on it, the stability of a kind of NCS is analyzed. The criterion to determine the upper bound of transmission delay is introduced, which guarantees the stability. Finally, an example with simulation shows the availability and usability of this analysis method.

Numerical Modeling of the Effect of Crack Parameters on Attenuation Anisotropy

Propagation through stress-aligned fluid-filled cracks and other inclusions have been claimed to be the cause of azimuthal anisotropy observed in the crust and upper mantle.This paper examines the behavior of seismic waves attenuation caused by the internal structure of rock mass,and in particular,the internal geometry of the distribution of fluid-filled openings Systematic research on the effect of crack parameters,such as crack density,crack aspect ratio(the ratio of crack thickness to crack diameter),pore fluid properties(particularly pore fluid velocity),VP/VS ratio of the matrix material and seismic wave frequency on attenuation anisotropy has been conducted based on Hudson's crack theory.The result shows that the crack density,aspect ratio,material filler,seismic wave frequency,and P-wave and shear wave velocity in the background of rock mass,and especially frequency has great effect on attenuation curves.Numerical research can help us know the effect of crack parameters and is a good supplement for laboratory modeling.However,attenuation is less well understood because of the great sensitivity of attenuation to details of the internal geometry.Some small changes in the characteristics of pore fluid viscosity,pore fluids containing gas and liquid phases and pore fluids containing clay can each alter attenuation coefficients by orders of magnitude.Some parameters controlling attenuation are therefore necessary to make reasonable estimations,and anisotropic attenuation is worth studying further.

To watch English Chinese Translation of online language from the perspective of the theory of dynamic

English and Chinese belong to different language families, so they have difference on their own characteristics, habits expression, syntactic structure and many other aspects. Nida＇ s dynamic equivalence theory thinks that translation is not Simple literal equivalence, but it is corresponding to two languages meanings and styles that are not rigidly adhered to forms. Therefore, we also need consider the cultural context in addition to understanding features of two languages in the process of translation, This paper makes a preliminary summary research on the parts of speech translation of English and Chinese translation to help translators better to deal with the parts of speech translation in the English and Chinese translation under the guidance of dynamic equivalence.

Thermal performance analysis of non-uniform height rectangular fin based on constructal theory and entransy theory

A model of non-uniform height rectangular fin, in which the variation of base's thickness and width are taken into account, is established in this paper. The dimensionless maximum thermal resistance(DMTR) and the dimensionless equivalent thermal resistance(DETR) defined based on the entransy dissipation rate(EDR) are taken as performance evaluation indexes. According to constructal theory, the variations of the two indexes with the geometric parameters of the fin are analyzed by using a finite-volume computational fluid dynamics code, the effects of the fin-material fraction on the two indexes are analyzed. It is found that the two indexes decrease monotonically as the ratio between the front height and the back height of the fin increases subjected to the non-uniform height rectangular fin. When the model is reduced to the uniform height fin, the two indexes increase first and then decrease with increase in the ratio between the height of the fin and the fin space. The fin-material fraction has no effect on the change rule of the two indexes with the ratio between the height of the fin and the fin space. The sensitivity of the DETR to the geometric parameters of the fin is higher than that of the DMTR to the geometric parameters. The results obtained herein can provide some theoretical support for the thermal design of rectangular fins.

Free vibration of functionally graded sandwich plates in thermal environments

This paper presents an analytical solution for the free vibration of functionally graded material(FGM)sandwich plates in a thermal environment.An equivalentsingle‐layer(ESL)plate theory with four variables is used to obtain the solution.Two types of sandwich plates are examined in this study:one with FGM face sheets and a homogeneous core and the other with an FGM core and homogeneous face sheets.The governing equations of motion are derived based on Hamilton's principle and then solved using the Navier method.The results of natural frequencies of simply supported FGM sandwich plates are compared with the available solutions in the literature.The effects of volume fraction distribution,geometrical parameters,and temperature increments on the free vibration characteristics are discussed in detail.