Design and Analysis of a Parallel Mechanism for Circular Spherical Translation and One-dimensional Rotation by Xiao Zihan, Shi Zhixin, Luo Yufeng, Gao Bo

“…Based on the topological design theory of a parallel mechanism with orientation feature set and bending translation theory, a new parallel mechanism with circular spherical translation and one rotation (2T1R) with 3 degrees of freedom （DOF） and low coupling is designed and topological characteristics of the mechanism are analyzed, including the orientation feature set, degrees of freedom and coupling calculation. …”
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The Y-Index of Some Complement Graph Structures and Their Applications of Nanotubes and Nanotorus by Mohammed Alsharafi, Abdu Alameri, Yusuf Zeren, Mahioub Shubatah, Anwar Alwardi

“…Topological descriptors play a significant role in chemical nanostructures. …”
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Social network information diffusion model based on user’s influence and interesting by Rui WANG, Yong LIU, Jing-hua ZHU, Ping XUAN, Jin-bao LI

“…A new non-topological information diffusion model of social network was proposed,called non-topological influence-interest diffusion model (NT-II).Representation learning was exploited to construct two hidden spaces for NT-II，called the user-influence space and the user-interest space,each user and each propagation item was mapped into a vector in space.The model predicted the probability of a user receiving a propagated item,considering not only the degree of influence from other users,but also the user's preference for propagated item.The experimental results show that the model can simulate the propagation process and predict the propagation results more accurately.…”
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Mechanism model of dynamic polyurethanes with two scales of nodes to regulate mechanical property by Yue Liu, Jinpeng Li, Litong Jia, Manyu Li, Yifan Diao, Zhenqi Han, Chenglei Yu, Tian Liu

“…This provides reference for prepare polyurethane with better mechanical properties in dynamic polyurethane industrial products through molecular topological structure design using same type of raw materials.…”
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The K-Theoretic Formulation of D-Brane Aharonov-Bohm Phases by Aaron R. Warren

“…The topological calculation of Aharonov-Bohm phases associated with D-branes in the absence of a Neveu-Schwarz B-field is explored. …”
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On IVF Approximating Spaces by Dingwei Zheng, Rongchen Cui, Zhaowen Li

“…We introduce the concept of IVF approximating spaces and obtain decision conditions that every IVF topological space is an IVF approximating space.…”
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Delay constraint minimum interruption routing algorithm for mobile satellite network by ZHANG Tao, LIU Zhong-kan, ZHANG Jun

“…By the analysis of the characteristics of mobile satellite network,such as a long delay and a topological time-varying,a novel satellite network delay constraint optimal path（SDCOP）algorithm,which could obtain a path to sat-isfy the delay constraint condition as well as the minimization of interruption during the service,was proposed.This algo-rithm exploits the predictive nature of connectivity changes of time-varying topological to decrease the influence in the QoS routing performance caused by the handover.Besides,it has a low computing complexity to adapt to the restricted computing capability of satellite equipments.Correlative simulation indicates that this novel algorithm is superior to other current algo-rithm in respect of computing complexity,service blocking probability and interrupting probability etc.…”
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Jewelry Art Modeling Design Method Based on Computer-Aided Technology by Yuan Li, Hai Wen

“…Moreover, in order to solve the situation that the given data points do not form a topological rectangular grid, an interpolation algorithm based on triangular BB surfaces is specially studied in this paper. …”
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Homogeneous magnetic flux in Rydberg lattices by J. Eix, R. Bai, T. Lahaye, A. Browaeys, H. P. Büchler, S. Weber

“…Remarkably, the total flux within a magnetic unit cell directly depends on the ratio of the number of lattice sites to ancilla atoms, making it topologically protected to small changes in the positions of the atoms. …”
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Design and Kinetic Analysis of the Parallel Mechanism for Sorting and Transmitting of Automobile Parts by Ju Tao, Shen Huiping, Li Tao

“…Secondly, based on the topological characteristic kinematics method, the positive symbolic position solution of the mechanism is solved. …”
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Le modèle topologique des sociétés amazoniennes by Klaus Hamberger

“…The topological model of Amazonian societies. The article aims to outline, via a comparative analysis of social and spatial organization in Central Brazil, North-West Amazonia and Guyana, a topological model common to Amazonian societies. …”
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Connection-Based Multiplicative Zagreb Indices of Dendrimer Nanostars by Aqsa Sattar, Muhammad Javaid, Ebenezer Bonyah

“…Mathematical chemistry provides a platform to study these physicochemical properties with the help of topological indices (TIs). A topological index (TI) is a function that connects a numeric number to each molecular graph. …”
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Parent Berry Curvature and the Ideal Anomalous Hall Crystal by Tixuan Tan, Trithep Devakul

“…At sufficiently high parent Berry curvature, we show that strong repulsive interactions generically lead to the formation of an anomalous Hall crystal: a topological state with spontaneously broken continuous translation symmetry. …”
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On maps: continuous, closed, perfect, and with closed graph by G. L. Garg, Asha Goel

“…This paper gives relationships between continuous maps, closed maps, perfect maps, and maps with closed graph in certain classes of topological spaces.…”
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Totally disconnected compactifications by Parfeny P. Saworotnow

“…There is a one-to-one order preserving correspondence between totally disconnected compactifications of a topological space and certain Boolean algebras of open closed subsets on it.…”
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The concept and properties of quasi-rigid $C_{0}$-semigroups by Mansooreh Moosapoor

“…It is proved that topologically quasi-rigidity and quasi-rigidity are equivalent. …”
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Symmetry-governed dynamics of magnetic skyrmions under field pulses by Vladyslav M. Kuchkin, Bruno Barton-Singer, Pavel F. Bessarab, Nikolai S. Kiselev

“…Abstract Topological magnetic solitons, such as skyrmions, exhibit intriguing particle-like properties that make them attractive for fundamental research and practical applications. …”
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Flow of electrorheological fluid under conditions of slip on the boundary by R. H. W. Hoppe, M. Y. Kuzmin, W. G. Litvinov, V. G. Zvyagin

“…For this purpose the approximating-topological method is used.…”
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Quantum dimer models with Rydberg gadgets by Zhongda Zeng, Giuliano Giudici, Hannes Pichler

“…It enables the emergence of a rich variety of quantum phases of matter, such as topological spin liquids. The typically isotropic nature of the blockade effect, however, restricts the range of natively accessible models and quantum states. …”
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A New Method for Isomorphism Identification of Planetary Gear Train based on Improved Hamming Number by Sun Wei, Li Anming, Kong Jianyi, Zuo Huiyan, Wei Sijia

“…The isomorphism identification is one of the indispensable processes in structure synthesis of planetary gear train.It is of great significance for the creation of novel planetary gear train with excellent transmission characteristics.A new method for identifying isomorphism of planetary gear train based on improved Hamming number is proposed.Firstly，a new method for describing the topological diagram of planetary gear train by improved link adjacency matrix is proposed.This matrix contains all the information of the topological structure of planetary gear train and has the uniqueness of description.Then，the basic feature of planetary gear train is represented by the feature code，which is the necessary condition for isomorphism.Then，the principle of improved Hamming number is defined，and the Hamming code is obtained.By distinguishing whether the structural constants of the feature code and the Hamming code are equal，the isomorphism of the planetary gear train is identified.Finally，the validity and reliability of the method are verified by examples.…”
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