In this paper, we extend the neutrosophic crisp topological spaces into N–neutrosophic crisp topological spaces (Nnc-topological space). Moreover, we introduced new types of open and closed sets in N–neutrosophic crisp topological spaces. We also present Nncsemi (open) closed sets, Nnc-preopen (closed) sets and Nnc-α-open (closed) sets and investigate their basic properties.

Chinese is the most commonly spoken language in the world and one of the very few contemporary languages whose history is documented in an unbroken tradition extending back to the second millennium. Compared with Western languages, Chinese has a typology with distinguished features in sound system, syntax, and discourse that have a strong impact on Chinese linguistics studies and language learning. Drawing on theoretical models from formal and functional linguistics, discourse analysis, computer-assisted corpus studies, language socialization, and second language acquisition, this volume presents new advances and addresses a broad range of current issues in the study of Chinese linguistics with research studies that originated from the proceedings of the 21st North American Conference on Chinese Linguistics (NACCL-21). As globalization presses on, more and more people are interested in Chinese – its history, structure, research, and new developments. This volume aims to be instrumental. Written in a coherent and structured style, each section is concentrated on a particular linguistic area, and each chapter is self-contained with a clear focus and theoretical framework. It will be valuable to linguists, educators, administrators, specialists, teachers and students of Chinese as a native, second, heritage, or foreign language.

This edition includes the definitive list of RCL citations together with a new comprehensive introduction and notes to the reading sets, illuminating the origin and development of the lectionary that is explored weekly by thousands of preachers, worship leaders, and students of scripture.

“Neutrosophic Sets and Systems” has been created for publications on advanced studies in neutrosophy, neutrosophic set, neutrosophic logic, neutrosophic probability, neutrosophic statistics that started in 1995 and their applications in any field, such as the neutrosophic structures developed in algebra, geometry, topology, etc.

This book is the first edited book to cover a wide range of issues related to Chinese as a second language (CSL) speech, including tone and segment acquisition and processing, categorical perception of tones, CSL fluency, CSL intelligibility/comprehensibility and accentedness, and pronunciation pedagogy. Moreover, the book addresses both theoretical and pedagogical issues. It offers an essential go-to book for anyone who is interested in CSL speech, e.g. CSL speech researchers, Chinese instructors, CSL learners, and anyone interested in second language speech.

Chinese Syntax in a Cross-linguistic Perspective collects twelve new papers that explore the syntax of Chinese in comparison with other languages.