Equivalence of crossed product of linear categories and generalized Maschke theorem

Some sufficient and necessary conditions are given for the equivalence between two crossed product actions of Hopf algebra H on the same linear category, and the Maschke theorem is generalized. Based on the result of the crossed product in the classic Hopf algebra theory, first, let A be a k-linear category and H be a Hopf algebra, and the two crossed products A#_σH and A#＇_σH are isomorphic under some conditions. Then, let A#_σH be a crossed product category for a finite dimensional and semisimple Hopf algebra H. If V is a left A#σH-module and WC V is a submodule such that W has a complement as a left A-module, then W has a complement as a A#_σH-module.

Equivalence and Duality between Subcategories of Modules

By discussing equivalence between Copres(K A) and Gen(P R), the characterization of *-modules was presented. The characterization of the duality between Cogen(U R) and Cogen( AU) was also discussed.

Latent Categories of Mental Health Literacy in Patients with Coronary Artery Disease and Their Relationship with Quality of Life

Objectives: This study aims to explore the latent categories of mental health literacy among patients with coronary artery disease and examine their associations with quality of life. Design: A cross-sectional quantitative design was used. Methods: The study sample consisted of 208 patients with coronary artery disease from five wards in the Department of Cardiology at a tertiary hospital. Data were collected using a general information questionnaire, the Chinese version of the Multiple Mental Health Literacy Scale and the Chinese Cardiovascular Patient Quality of Life Assessment Questionnaire. The data were analysed with Mplus (v.8.3) and SPSS (v.25.0). Results: The mental health literacy of the 208 patients was categorised into four latent categories: low literacy (n = 28, 13.5%), high knowledge-low resources (n = 53, 25.5%), low knowledge-high resources (n = 63, 30.2%) and high literacy (n = 64, 30.8%). A significant difference in quality of life was observed according to mental health literacy category (P Conclusion: The quality of life of patients with coronary artery disease is significantly influenced by their levels of mental health literacy. Targeted interventions addressing the various profiles of mental health literacy should be implemented to improve the quality of life for patients with coronary artery disease.

Cost-Effective Monitoring of the Fuel Air Equivalence-Ratio with a Lambda Sensor and a Microcontroller in a Downdraft Biomass Gasifier

The operation of biomass treatment devices such as gasifiers is based on the control of key parameters that play an important role in product formation. These include: temperature, excess oxygen, relative humidity and biomass composition. This work focuses on excess oxygen and temperature. Unfortunately, flue gas oxygen analyzers are expensive and not accessible to small industries. However, the equivalence ratio is linked to excess oxygen and has the advantage of not depending on biomass composition. This study therefore focuses on the design and development of a device for controlling this equivalence ratio by measuring oxygen concentration using a self-propelled Lambda probe, and a system for monitoring this equivalence ratio using an Arduino Uno 3 microcontroller. The temperature is recorded with an accuracy of ±1.5°C. For a heating time of 10 minutes, the response time to temperature change is around 3 seconds, which is sufficient for the device to function properly. This simple device is an efficient and cost-effective means of checking the equivalence ratio.

From“Semantic Equivalence”to“Verve Reproduction”—Exploration on Xu Yuanchong’s English Translation of the Analects

This paper focuses on the English translation of Xu Yuanchong’s Analects,explains in depth the theory of semantic equivalence and the theory of verve reproduction.It analyzes the application and integration of these two theories by Xu Yuanchong in detail.Through a comprehensive textual analysis,this paper summarizes the remarkable achievements of the English translation of the Analects,such as the accurate transmission of semantics and the vivid reproduction of cultural charm,which is expected to bring new thinking directions and valuable references to the study of the English translation of the Analects.

A Study on the Correlation Between LIWC Word Categories and Chinese Composition Writing Performance of Fourth,Fifth,and Sixth Grade Students

This study focuses on the analysis of the Chinese composition writing performance of fourth,fifth,and sixth grade students in 16 selected schools in Longhua District,Shenzhen during the spring semester of 2023.Using LIWC(Linguistic Inquiry and Word Count)as a text analysis tool,the study explores the impact of LIWC categories on writing performance which is scaled by score.The results show that the simple LIWC word categories have a significant positive influence on the composition scores of lower-grade students;while complex LIWC word categories have a significant negative influence on the composition scores of lower-grade students but a significant positive influence on the composition scores of higher-grade students.Process word categories have a positive influence on the composition scores of all three grades,but the impact of complex process word categories increases as the grade level rises.

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.

A General View of the Equivalence Between Chinese and English

This paper briefly presents a study of the relationship between English and Chinese, which is put forward from the point of the equivalence in both languages. By observing and analyzing the examples in the parts of full equivalence and partial equivalence, we can surely conclude that English and Chinese have close relationship with each other. However, the equivalence reflected in the languages is, to some extent, greatly influenced by their respective culture, which still needs us to do more research about it.

SC-CO_(2)与工业乳化炸药破岩效应的等效试验

如何定量化核算SC-CO_(2)(超临界二氧化碳)破岩效率是非炸药类破岩技术在实际工程应用时重点关注的内容.本研究基于爆破当量理论计算和现场爆破试验的研究方法,通过工程类比法进行工业乳化炸药等效当量计算,选择典型代表性花岗岩及泥岩场地,设计进行了SC-CO_(2)与工业炸药破岩效应等效对比现场试验;基于现场破岩等效现场试验测试数据,对比分析试验过程中SC-CO_(2)与工业炸药破岩体积、破岩区域形态、大块率和单耗等破岩区域特征及参量数据.研究结果表明:当SC-CO_(2)破岩体积较大时,其致裂破岩范围的长短轴较长,并且随着剪切片厚度的增加,泥岩场地二氧化碳单耗的下降速率增大,二氧化碳单耗是炸药单耗的6~11倍.SC-CO_(2)破岩技术大块率较高,而炸药爆炸应力波分布均匀,大块率较小.SC-CO_(2)破岩地表振速远小于工业炸药破岩,工业炸药爆破测点合振速值为SC-CO_(2)破岩测点合振速值的9~11倍,SC-CO_(2)破岩对周边环境震动影响较小.SC-CO_(2)破岩测点合应力峰值高于工业炸药破岩,SC-CO_(2)破岩试验中各测点合应力值为炸药破岩试验中对应测点值的1.2~1.6倍.

Categories of the Garden Architectural Oddment and Its Application in Gardens

The definition,content,functions and properties of the garden architectural oddment were elaborated; by focusing on its classification from the content and analyzing the typical representations,the application of the garden architectural oddment was discussed to explore broader uses in the garden planning,and create more architectural oddments that are human-centered,coordinated with the environment,endowed with artistic beauty and close to life.

不同弹性模量计算机辅助设计和计算机辅助制造桩核材料的应力分析

背景:桩核修复是牙体缺损修复的一种常规选择,然而不同桩核材料的修复效果存在差异。目的:利用有限元方法评估不同弹性模量桩核修复模型中桩核与牙根黏结剂部位的应力分布情况。方法:在三维建模软件中构建一个三维根管治疗过的上颌中切牙模型,进行全瓷冠修复,修复中的桩核材料分别使用纳米陶瓷树脂(弹性模量12.8 GPa)、复合树脂(弹性模量16 GPa)、混合陶瓷(弹性模量34.7 GPa)、玻璃陶瓷(弹性模量95 GPa)、钛合金(弹性模量112 GPa)和氧化锆(弹性模量209.3 GPa),将模型约束在皮质骨中,在中切牙牙冠舌侧1/3处加载与牙体长轴呈45°的100 N集中力,通过最大主应力分析修复模型中桩核、牙本质及桩与牙根黏结剂的应力分布。结果与结论:(1)当使用弹性模量较高的桩核材料时,修复模型中的桩核应力较集中;当使用弹性模量接近牙本质的桩核材料(纳米陶瓷树脂和复合树脂)时,桩核的应力分布较均匀;无论桩核材料如何,各修复模型中牙本质上的应力分布相似;使用弹性模量更高的桩核时,修复模型中桩与牙根黏结剂处显示出更多的应力集中。(2)纳米陶瓷树脂模型中桩核、牙根及桩与牙根黏结剂处的最大应力值分别为31.00,33.21,0.51 MPa,复合树脂模型中桩核、牙根及桩与牙根黏结剂处的最大应力值分别为36.84,33.14,0.59 MPa,混合陶瓷模型中桩核、牙根及桩与牙根黏结剂处的最大应力值分别为64.05,32.83,1.00 MPa,玻璃陶瓷模型中桩核、牙根及桩与牙根黏结剂处的最大应力值分别为112.30,32.69,1.73 MPa,钛合金模型中桩核、牙根及桩与牙根黏结剂处的最大应力值分别为120.00,32.17,1.86 MPa,氧化锆模型中桩核、牙根及桩与牙根黏结剂处的最大应力值分别为148.80,31.85,2.28 MPa。(3)桩核材料的弹性模量越高,进行桩核修复时桩核处的最大应力值越大,桩核材料弹性模量对修复模型中桩与牙根黏结剂处与牙本质的最大应力值无明显影响。

不同内固定系统治疗股骨转子间骨折的力学稳定性

背景:股骨转子间骨折的骨折类型和固定方式多样,各固定系统间的力学稳定性相差较大。使用有限元分析方法对各固定系统开展生物力学研究具有科学的临床意义。目的:通过有限元方法对比分析多种内固定应用于股骨A031-A2.1型转子间骨折的力学稳定性。方法:在已验证有效性的股骨有限元模型基础上,对模型进行必要的切割,造模成股骨A031-A2.1型转子间骨折,模拟临床手术方法置入不同的内固定系统,分别建立股骨近端防旋髓内钉、动力髋螺钉、经皮加压钢板和股骨近端锁定钢板固定模型。约束4组模型股骨远端下所有节点,在股骨头上施加700,1400和2100N的压缩载荷,通过计算分析,观察各组模型的等效应力分布和压缩刚度,比较各组模型之间的力学稳定性。结果与结论:①通过计算分析,对比各组模型的变形量计算压缩刚度后,在各级载荷作用下,各组模型上压缩刚度呈现的趋势:生理组>股骨近端防旋髓内钉组>股骨近端锁定钢板组>经皮加压钢板组>动力髋螺钉组;完整的生理组模型的压缩刚度明显高于所有的手术组模型;②观察应力指标,因存在应力遮挡效应,致使各固定组的应力峰值均高于生理组,最大峰值均集中分布于各内固定上;其中股骨近端防旋髓内钉固定组应力峰值最小,动力髋螺钉固定组应力最高,应力分布趋势呈现:生理组<股骨近端防旋髓内钉固定组<经皮加压钢板固定组<股骨近端锁定钢板固定组<动力髋螺钉固定组;③分布于骨质模型的应力,因内固定置入位置不同呈现不同的分布结果;④提示对于股骨转子间骨折,各种内固定均能起到有效的固定,结合有限元分析结果得出股骨近端防旋髓内钉组是较好的一种内固定选择,呈现变形量小、应力峰值低,应力分布均匀的特性;经皮加压钢板组和股骨近端锁定钢板组的力学效果优良,固定效果接近股骨近端防旋髓内钉固定;动力髋螺钉固定效果欠佳,同比于其他内固定,其力学稳定性较差。

配戴角膜塑形镜儿童停用低浓度阿托品前后近视进展情况

目的:对比观察角膜塑形镜联合低浓度阿托品治疗的儿童在停用低浓度阿托品前后的近视进展情况,判断角膜塑形镜配戴者的停药反弹效应并根据瞳孔直径变化分析其产生原因。方法:前瞻性病例对照研究。纳入2022-01/06就诊于西安市第一医院应用角膜塑形镜并联合0.01%阿托品眼用凝胶控制近视儿童80例,1 a后根据是否停药分为停药组(A组,40例)和继续用药组(B组,40例),观察A组儿童停药前后1 a内的眼轴(AL)和等效球镜度(SE)变化,分析停药前后的近视进展情况,并对比观察A组和B组儿童2 a内的AL、瞳孔直径(PD)和SE变化,并分析PD与AL增长量的关系。结果:A组儿童在停药后0.5、1 a时AL分别增长0.17±0.23、0.29±0.18 mm,均大于停药前0.5、1 a(t=5.318、2.983,均P<0.001),停药前后1 a时的SE增长量无差异(P>0.05)。联合用药时A组和B组在基线,随访0.5、1 a时的AL、PD变化均无差异(均P>0.05),随访1.5 a时A组的AL增长量大于B组(0.32±0.27 mm vs 0.26±0.20 mm,t=7.363,P<0.001),PD小于B组(3.60±1.25 mm vs 4.12±1.92 mm,t=-7.541,P<0.001),随访2 a时A组的AL增长量大于B组(0.44±0.18 mm vs 0.32±0.14 mm,t=5.709,P<0.001),PD小于B组(3.67±1.31 mm vs 4.02±1.67 mm,t=-4.281,P<0.001)。2 a内每0.5 a及每1 a随访时线性回归分析显示,PD和AL增长量呈负相关(R^(2)=-0.156、-0.190,均P<0.001)。结论:配戴角膜塑形镜的儿童停用低浓度阿托品后,AL较停药前增长较快,PD缩小而SE变化不大。较继续用药的情况相比,停止用药会导致AL进展较快而屈光度变化不大,且在配戴角膜塑形镜时瞳孔直径越大AL进展越慢。

On English-Chinese Equivalence Translation in Various Clauses

The paper discusses the application of the thematic theory and theinformation equivalence to English-Chinese translation.It first probes into thetraditional way of translating and points out its weaknesses.Then,it interprets thesignificance of achieving thematic equivalence and information equivalence in English-Chinese translating.Finally,it presents a lot of examples to show how the research isapplied to the translation of various clause structures from English into Chinese so as towin equivalence translation.

A Modular Representation of K-root-and Jacobson Structure Theorems for Additive Categories

In this paper,we give definition and moduler representation of Kothe root for additive cate gories.Using these results,get inner representation of J-root and fully homomorph class of Jscmisimple additive categories.

Application of functional equivalence to the translation strategy of Chinese American literature： A case study of The Joy Luck Club

Ever since the 1970s when Chinese American writers thrived from a marginal position and integrated into the mainstream of American literature, the study on Chinese American Literature has received more and more attention from the academic circles. However, the research on this newly emerging subject in the field of translation studies has not been treated with equal attention. This thesis attempts to propose a possible strategy to translate Chinese American works, based on the theory of ＂functional equivalence＂, taking the comparison of the 2 Chinese versions of TAN＇s The Joy Luck Club as an example.

Non Equivalence of English and Chinese Idioms in Translation─A Contrastive Approach

Both the English and Chinese languages enjoy prolonged history and abound with idioms,which are the linguistic and intellectual essence of their people.But due to the differences in geography,history,religion,custom and other aspects of life,English and Chinese idioms serve as carriers of different cultural characteristic.As a result,cultural barriers often pose quite a difficulty for translation theory and practice.Therefore,as we understand and translate idioms of one language into another,the problems of how to retain the original image,style,flavor,characteristics,and how to overcome the misunderstandings between the two cultures constitute the most pressing issues.This paper aims to explore some reasons and strategies of non equivalence of idioms in translation.

To Split or to Unify?-A Comparative Study on Functional Equivalence Translation Theory and Relevance Translation Theory

Functional equivalence,a focus in the translation studies,has been bombarded with numerous criticisms.Meanwhile,relevance translation theory,proposed by Ernst-August Gutt,offers a united theoretical framework for translation studies.The development of the translation theories does not rely on the appearance of a brand-new theory,but on the successful connection among various theories.To split or to unify,it is a question and it will direct the further development of translation studies.Analyzing the similarities and differences between these two theories,the author are striving for a unity of them and striking a better way to approach translation studies.

从Equivalence到Equality——西方翻译理论从语言内部对等到文化身份平等

在语言学盛行时期,翻译界一直把Equivalence奉为金科玉律,借此来评判译文好坏。现今的翻译事件发生的时间空间都发生了大变化,人们习惯于把翻译放在文化、社会、政治、权力等环境下来讨论,旨在争取民族文化身份上的Equality,必将以全新的视角审视曾经的概念Equivalence。

Application of Nida＇s theory of functional equivalence in trademark translation

Through the introduction of Nida＇s translation principles that should be obeyed in trademark translation, the theory, characteristics of trademark and some essay discussed that the theory of dynamic equivalence （functional equivalence） was applied in trademark translation through the literal translation, transliteration and combination of the both. The essay also pointed out that the theory of functional equivalence was an important theory for trademark translation.