Monoidal Category Approach to Dual Hom-quasi-Hopf Algebras

In this paper, we categorify a Hom-associative algebra by imposing the Homassociative law up to some isomorphisms on the multiplication map and requiring that these isomorphisms satisfy the Pentagon axiom, and obtain a 2-Hom-associative algebra. On the other hand, we introduce the dual Hom-quasi-Hopf algebra and show that any dual Homquasi-Hopf algebras can be viewed as a 2-Hom-associative algebra.

Packaging category and its influencing factors of potassium nitrate

To understand the combustion characteristics of potassium nitrate and evaluate the magnitude of combustion risk, ox-idation solid test apparatus is used and the updated experimental criterion of the United Nations is adopted to measure the pack-aging category of potassium nitrate. The new criterion puts calcium peroxide and microcrystalline cellulose as references and burning rate as evaluation index. Effects of mixing ratio and insert medium on burning rate are reached. Test results show that pure potassium nitrate doesn＇t burn under normal temperature and pressure, however, its oxidation is very strong and the packaging category should choose the class I. As the mass fraction of potassium nitrate reduces, the burning rate first increases and then decreases. When the ratio is 2 ： 1,the combustion rate reaches the maximum, and the effect of combustion is the best. When 1 ： 3, the combustion rate is the minimum. The mixture combustion can be suppressed by silicon dioxide and hy-drogen phosphate, which is not fired when silica concentration is 40% or ammonium hydrogen potassium phosphate is 55%, their effects are very obvious.

“Opinion Editorial”category attracts more attention

Opinion Editorial(Op-Ed)was introduced in 2017 as a new category of Advances in Polar Science(APS),and is attracting the attention of the international polar community.One scientist from School of Environment,Education and Development,the University of Manchester gave the comments that this is a most welcome initiative.

“Opinion Editorials”category attracts more attention

Opinion Editorials(Op-Ed)was introduced in 2017 as a new category,and is attracting the attention of the international polar community.One scientist from School of Environment,Education and Development,the University of Manchester gave the comments that this is a most welcome initiative.Op-Ed can be a statement of the opinion of a named author or authors,with a maximum of 1500 words(a maximum length of 2 printed pages).It will provide a forum for comment on the status and/or deficiencies on any aspect of polar science,reflect on recent innovation or progress,promote internationally collaborative polar science projects,etc.It will be directly reviewed by EICs with final decision without peer review by expert referrers.Up to now,10 Op-Eds have already been published on APS.

“Opinion Editorial” category attracts more attention

Opinion Editorial(Op-Ed)was introduced in 2017 as a new category,and is attracting the attention of the international polar community.One scientist from School of Environment,Education and Development,the University of Manchester gave the comments that this is a most welcome initiative.

A Contrastive Study on English-Chinese Subjunctive Category and Translation

This paper makes a contrastive study on the English and Chinese subjunctive categories to find out the dissimilarities between the two.This is of great importance to translation between the two as well as teaching and learning.

MEIC-global-CO_(2):A new global CO_(2)emission inventory with highly-resolved source category and sub-country information

CO_(2)emission inventory provides fundamental data for climate research and emission mitigation.Currently,most global CO_(2)emission inventories were developed with energy statistics from International Energy Agency(IEA)and were available at country level with limited source categories.Here,as the first step toward a high-resolution and dynamic updated global CO_(2)emission database,we developed a data-driven approach to construct seamless and highly-resolved energy consumption data cubes for 208 countries/territories,797 sub-country administrative divisions in 29 countries,42 fuel types,and 52 sectors,with the fusion of activity data from 24 international statistics and 65 regional/local statistics.Global CO_(2)emissions from fossil fuel combustion and cement production in 1970–2021 were then estimated with highly-resolved source category(1,484 of total)and sub-country information(797 of total).Specifically,73%of global CO_(2)emissions in 2021 were estimated with sub-country information,providing considerably improved spatial resolution for global CO_(2)emission accounting.With the support of detailed information,the dynamics of global CO_(2)emissions across sectors and fuel types were presented,representing the evolution of global economy and progress of climate mitigation.Remarkable differences of sectoral contribution were found across sub-country administrative divisions within a given country,revealing the uneven distribution of energy and economic structure among different regions.Our estimates were generally consistent with existing databases at aggregated level for global total or large emitters,while large discrepancies were observed for middle and small emitters.Our database,named the Multiresolution Emission Inventory model for Climate and air pollution research(MEIC)is publicly available through http://meicmodel.org.cn with highly-resolved information and timely update,which provides an independent carbon emission accounting data source for climate research.

ASTERIX Category017数据格式分析与应用

文章介绍了ASTERIX标准协议的结构框架,依据实例详细给出了ASTERIX Category017数据格式的解析过程,并阐述了该格式协议在S模式二次雷达协同监视组网中的重要应用。

Asterix Category021协议的应用与分析

介绍了Asterix Category 021协议的数据项内容、用户应用程序框架(UAP)的结构、报文数据块的布局,以及ADS-B系统应用该协议的方式,分析了该协议的实例应用和协议报文的解析,提出了处理报文的思路。研究与分析结果可为如何使用Asterix Category 021协议生成与解析报文提供参考。

Asterix Category 033协议的分析与应用

介绍了Asterix Category 033协议的数据项组成、编码的内容以及在监视应用中的关键作用,研究了该协议的CRC编码方式以及报文的组装方式,提出了每个数据项的内容在监视终端和地面接收处理基站中的处理方法。所研究和分析成果为Asterix Category 033协议生成与解析报文提供了依据。

Making the category of entwined modules into a braided monoidal category

The question of how the category of entwined modules can be made into a braided monoidal category is studied. First, the sufficient and necessary conditions making the category into a monoidal category are obtained by using the fact that if （A, C, ψ） is an entwining structure, then A × C can be made into an entwined module. The conditions are that the algebra and coalgebra in question are both bialgebras with some extra compatibility relations. Then given a monodial category of entwined modules, the braiding is constructed by means of a twisted convolution invertible map Q, and the conditions making the category form into a braided monoidal category are obtained similarly. Finally, the construction is applied to the category of Doi-Hopf modules and （α, β ）-Yetter-Drinfeld modules as examples.

Construction of semisimple category over generalized Yetter-Drinfeld modules

Let H be a commutative, noetherian, semisimple and cosemisimple Hopf algebra with a bijective antipode over a field k. Then the semisimplicity of YD（H） is considered, where YD （H） means the disjoint union of the category of generalized Yetter-Drinfeld modules nYD^H（ α, β） for any α, β E Aut Hopf（H）. First, the fact that YD（H） is closed under Mor is proved. Secondly, based on the properties of finitely generated projective modules and semisimplicity of H, YD（H） satisfies the exact condition. Thus each object in YD（H） can be decomposed into simple ones since H is noetherian and cosemisimple. Finally, it is proved that YD （H） is a sernisimple category.

End-to-end aspect category sentiment analysis based on type graph convolutional networks

For the existing aspect category sentiment analysis research,most of the aspects are given for sentiment extraction,and this pipeline method is prone to error accumulation,and the use of graph convolutional neural network for aspect category sentiment analysis does not fully utilize the dependency type information between words,so it cannot enhance feature extraction.This paper proposes an end-to-end aspect category sentiment analysis(ETESA)model based on type graph convolutional networks.The model uses the bidirectional encoder representation from transformers(BERT)pretraining model to obtain aspect categories and word vectors containing contextual dynamic semantic information,which can solve the problem of polysemy;when using graph convolutional network(GCN)for feature extraction,the fusion operation of word vectors and initialization tensor of dependency types can obtain the importance values of different dependency types and enhance the text feature representation;by transforming aspect category and sentiment pair extraction into multiple single-label classification problems,aspect category and sentiment can be extracted simultaneously in an end-to-end way and solve the problem of error accumulation.Experiments are tested on three public datasets,and the results show that the ETESA model can achieve higher Precision,Recall and F1 value,proving the effectiveness of the model.

A Study of English Neologisms in 2015 Based on the Prototype Category Theory

With the development of science and technology, large quantities of neologisms are created. Neologisms are the result of people's conceptualization of new things based on their life experiences. Cognitive linguistics views that categorization of organisms and concrete objects are based on the prototype category. This paper takes 167 English Neologisms from Wordspy in2015 as the data for analysis and finds that these English Neologisms are characterized by family resemblances, degree of membership in category and boundary fuzziness from the view of prototype category theory. This study also has some implications for the research of English language teaching and learning.

Weak Tensor Category and Related Generalized Hopf Algebras

There are at least two kinds of generalization of Hopf algebra, i.e. pre-Hopf algebra and weak Hopf algebra. Correspondingly, we have two kinds of generalized bialgebras, almost bialgebra and weak bialgebra. Let L = （L, ×, I, a, l, r） be a tensor category. By giving up I, l, r and keeping ×, a in L, the first author got so-called pre-tensor category L = （L, ×, a） and used it to characterize almost bialgebra and pre-Hopf algebra in Comm. in Algebra, 32（2）： 397-441 （2004）. Our aim in this paper is to generalize tensor category L = （L, ×, I, a, l, r） by weakening the natural isomorphisms l, r, i.e. exchanging the natural isomorphism ll^-1 = rr^-1 = id into regular natural transformations lll= l, rrr = r with some other conditions and get so-called weak tensor category so as to characterize weak bialgebra and weak Hopf algebra. The relations between these generalized （bialgebras） Hopf algebras and two kinds generalized tensor categories will be described by using of diagrams. Moreover, some related concepts and properties about weak tensor category will be discussed.

Category of Generalized Intuitionistic Fuzzy Sets

In this paper, category GIFS of generalized intuitionistic fuzzy sets(GIF) is built up. Topoi properties of category GIFS are studied. Firstly, it is proved that the category GIFS has all topoi properties except that it has no subobject classifiers, Secondly, it is proved that the category GIFS has middle object and consequently GIFS is a weak topos. Thirdly, by the use of theory of weak topos GIFS, the power object of an object in GIFS is studied.

Stable t-structures and Homotopy Category of Strongly Copure Projective Modules

In this paper, we study the homotopy category of unbounded complexes of strongly copure projective modules with bounded relative homologies K;（SCP）.We show that the existence of a right recollement of K;（SCP） with respect to K;（SCP）, K;（SCP） and K;（SCP） has the homotopy category of strongly copure projective acyclic complexes as a triangulated subcategory in some case.

ADS-B Category 021报文解析软件的设计与实现

由于ADS-B设备相比雷达和遥测遥控具有低成本、小型化和通用性的优点,且能够对长航时、远距离的飞行目标进行监控,文章规划了Category 021报文的引入方案,对Category 021报文格式进行分析,重点设计开发了Category 021报文解析软件,通过接收并处理ADS-B地面站传送的目标航迹数据,实现了ADS-B信号中合作目标航迹数据的提取与显示,并进行了测试验证。测试结果表明:该方案能有效地实现对飞行目标的快速跟踪监视,增强了对飞行目标的监控手段。

Equivalence of Dynamicity and Balance of Category in “INCEPTION”

"INCEPTION" has become a blockbuster recently and this word reflects the phenomenon:meaning expanding in a specific context,which,as a matter of fact,lives in many fields such as literature,films and speeches.Such words or phrases have both surface and deep meanings whose translation research is mainly placed on literal or literary transfer,leaving out their dynamicity and balance in meaning category.This paper aims to give a brief analysis on such phenomenon and puts forward to a new translation principle:category equivalence in dynamicity and balance.

Research on Category of Maritime English Vocabulary

Through the research on the maritime English vocabulary, the author analyzes the category of Maritime English vocabulary, stresses an important application of Maritime English vocabulary in maritime field.