1,721,287 research outputs found
Dependently Sorted Theorem Proving for Mathematical Foundations
We describe a new meta-logical system for mechanising foundations of mathematics. Using dependent sorts and first order logic, our system (implemented as an LCF-style theorem-prover) improves on the state-of-the-art by providing efficient type-checking, convenient automatic rewriting and interactive proof support. We assess our implementation by axiomatising Lawvere’s Elementary Theory of the Category of Sets (ETCS) [F. William Lawvere, 1964], and Shulman’s Sets, Elements and Relations (SEAR) [Michael Shulman, 2022]. We then demonstrate our system’s ability to perform some basic mathematical constructions such as quotienting, induction and coinduction by constructing integers, lists and colists. We also compare with some existing work on modal model theory done in HOL4 [Yiming Xu and Michael Norrish, 2020]. Using the analogue of type-quantification, we are able to prove a theorem that this earlier work could not. Finally, we show that SEAR can construct sets that are larger than any finite iteration of the power set operation. This shows that SEAR, unlike HOL, can construct sets beyond V_{ω+ω}
sj-docx-1-trr-10.1177_03611981221092005 – Supplemental material for Micromobility Trip Origin and Destination Inference Using General Bikeshare Feed Specification Data
Supplemental material, sj-docx-1-trr-10.1177_03611981221092005 for Micromobility Trip Origin and Destination Inference Using General Bikeshare Feed Specification Data by Yiming Xu, Xiang Yan, Virginia P. Sisiopiku, Louis A. Merlin, Fangzhou Xing and Xilei Zhao in Transportation Research Record</p
sj-docx-1-tar-10.1177_17534666221130215 – Supplemental material for Psychological stress and coping strategies among frontline healthcare workers supporting patients with coronavirus disease 2019: a retrospective study and literature review
Supplemental material, sj-docx-1-tar-10.1177_17534666221130215 for Psychological stress and coping strategies among frontline healthcare workers supporting patients with coronavirus disease 2019: a retrospective study and literature review by Xingyu Ding, Zihong Jian, Yiming Xu, Zibei Lin, Ziyang Chen, Yixian Zhang, Huayao Huang, Ronghua Chen, Pincang Xia, Wei Zhang and Houwei Du in Therapeutic Advances in Respiratory Disease</p
supplemental_material_clean – Supplemental material for Motor Imagery Training After Stroke Increases Slow-5 Oscillations and Functional Connectivity in the Ipsilesional Inferior Parietal Lobule
Supplemental material, supplemental_material_clean for Motor Imagery Training After Stroke Increases Slow-5 Oscillations and Functional Connectivity in the Ipsilesional Inferior Parietal Lobule by Xu Wang, Hewei Wang, Xin Xiong, Changhui Sun, Bing Zhu, Yiming Xu, Mingxia Fan, Shanbao Tong, Limin Sun and Xiaoli Guo in Neurorehabilitation and Neural Repair</p
sj-docx-2-jet-10.1177_15266028211032956 – Supplemental material for Paeonol Suppresses Vasculogenesis Through Regulating Vascular Smooth Muscle Phenotypic Switching
Supplemental material, sj-docx-2-jet-10.1177_15266028211032956 for Paeonol Suppresses Vasculogenesis Through Regulating Vascular Smooth Muscle Phenotypic Switching by Huan Xu, Ziqiang Wu, Zhong Jin, Xiao Wu, Wangming Hu, Bing Liang, Guanhua Lou, Zixian Chen, Huan Yao, Xiongbing Chen, Xin Zhou, Han Xiao, Cenghao Yu, Delai Zhang, Daoying Gong, Lan Yang, Yaping Shi, Yiming Xu and Yong Wang in Journal of Endovascular Therapy</p
sj-pdf-3-jet-10.1177_15266028211032956 – Supplemental material for Paeonol Suppresses Vasculogenesis Through Regulating Vascular Smooth Muscle Phenotypic Switching
Supplemental material, sj-pdf-3-jet-10.1177_15266028211032956 for Paeonol Suppresses Vasculogenesis Through Regulating Vascular Smooth Muscle Phenotypic Switching by Huan Xu, Ziqiang Wu, Zhong Jin, Xiao Wu, Wangming Hu, Bing Liang, Guanhua Lou, Zixian Chen, Huan Yao, Xiongbing Chen, Xin Zhou, Han Xiao, Cenghao Yu, Delai Zhang, Daoying Gong, Lan Yang, Yaping Shi, Yiming Xu and Yong Wang in Journal of Endovascular Therapy</p
sj-docx-1-jet-10.1177_15266028211032956 – Supplemental material for Paeonol Suppresses Vasculogenesis Through Regulating Vascular Smooth Muscle Phenotypic Switching
Supplemental material, sj-docx-1-jet-10.1177_15266028211032956 for Paeonol Suppresses Vasculogenesis Through Regulating Vascular Smooth Muscle Phenotypic Switching by Huan Xu, Ziqiang Wu, Zhong Jin, Xiao Wu, Wangming Hu, Bing Liang, Guanhua Lou, Zixian Chen, Huan Yao, Xiongbing Chen, Xin Zhou, Han Xiao, Cenghao Yu, Delai Zhang, Daoying Gong, Lan Yang, Yaping Shi, Yiming Xu and Yong Wang in Journal of Endovascular Therapy</p
Going Beyond Counting First Authors in Author Co-citation Analysis
The present study examines one of the fundamental aspects of author co-citation analysis (ACA) - the way co-citation
counts are defined. Co-citation counting provides the data on which all subsequent statistical analyses and mappings
are based, and we compare ACA results based on two different types of co-citation counting - the traditional type that
only counts the first one among a cited work's authors on the one hand and a non-traditional type that takes into
account the first 5 authors of a cited work on the other hand. Results indicate that the picture produced through this non-traditional author co-citation counting contains more coherent author groups and is therefore considerably clearer. However, this picture represents fewer specialties in the research field being studied than that produced through the traditional first-author co-citation counting when the same number of top-ranked authors is selected and analyzed. Reasons for these effects are discussed
Variations on the Author
“Variations on the Author” discusses two of Eduardo Coutinho’s recent films (Um Dia na Vida, from 2010, and Últimas Conversas, posthumously released in 2015) and their contribution to the general question of documentary authorship. The director’s filmography is characterized by a consistent yet self-effacing form of authorial self-inscription: Coutinho often features as an interviewer that rather than express opinions propels discourses; an interviewer that is good at listening. This mode of self-inscription characterizes him as an author who is not expressive but who is nonetheless markedly present on the screen. In Um Dia na Vida, however, Coutinho is completely absent form the image, while Últimas Conversas, on the contrary, includes a confessional prologue that moves the director from the margins to the center of his films. This article examines the ways in which these works stand out in the filmography of a director who offers new insights into the notion of cinematic authorship
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