Rolling Bearing Fault Diagnosis Based on Domain Adaptation and Preferred Feature Selection under Variable Working Conditions by Xiao Yu, Wei Chen, Chuanlong Wu, Enjie Ding, Yuanyuan Tian, Haiwei Zuo, Fei Dong

“…In this framework, an improved domain adaptation method, transfer component analysis with preserving local manifold structure (TCAPLMS), is proposed to reduce the differences in the data distributions between different domain datasets and, at the same time, take the label information of feature dataset and the local manifold structure of feature data into consideration. …”
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On the Existence of Polynomials with Chaotic Behaviour by Nilson C. Bernardes, Alfredo Peris

“…As a consequence we prove that every (real or complex) infinite-dimensional separable Frèchet space admits mixing (hence hypercyclic) polynomials of arbitrary positive degree. …”
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Superpotential of three dimensional N $$ \mathcal{N} $$ = 1 heterotic supergravity by Xenia de Ia Ossa, Magdalena Larfors, Matthew Magill, Eirik E. Svanes

“…Abstract We dimensionally reduce the ten dimensional heterotic supergravity action on spacetimes of the form M $$ \mathcal{M} $$ (1, 2) x Y, where M $$ \mathcal{M} $$ (1, 2) is three dimensional maximally symmetric Anti de Sitter or Minkowski space, and Y is a compact seven dimensional manifold with G2 structure. In doing so, we derive the real superpotential functional of the corresponding three dimensional N $$ \mathcal{N} $$ = 1 theory. …”
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Relativistic Localizing Processes Bespeak an Inevitable Projective Geometry of Spacetime by Jacques L. Rubin

“…As a result, the spacetime manifold can be seen as a generalized Cartan space modeled on a four-dimensional real projective space, that is, a spacetime with both a local four-dimensional projective structure and a compatible (pseudo-)Riemannian structure. …”
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Study on the Customization of Robotic Arms for Spray-Coating Production Lines by Chao-Chung Liu, Jun-Chi Liu, Chao-Shu Liu

“…Kinematics analysis is conducted, followed by trajectory-tracking experiments using the manifold deformation control method. Results from simulation and real experiments show minimal error in tracking, demonstrating the effectiveness of the control method. …”
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Online Coupling of Lab-on-Valve Format to Amperometry Based on Polyvinylpyrrolidone-Doped Carbon Paste Electrode and Its Application to the Analysis of Morin by Yang Wang, Guojun Yao, Jie Tang, Chun Yang, Qin Xu, Xiaoya Hu

“…The potential capabilities and analytical performance of lab-on-valve (LOV) manifold as a front end to amperometry have been explored for the on-line determination of morin. …”
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From homogeneous metric spaces to Lie groups by Cowling, Michael G., Kivioja, Ville, Le Donne, Enrico, Nicolussi Golo, Sebastiano, Ottazzi, Alessandro

“…We study homogeneous metric spaces, by which we mean connected, locally compact metric spaces whose isometry group acts transitively.After a review of a number of classical results, we use the Gleason–Iwasawa–Montgomery–Yamabe–Zippin structure theory to show that for all positive $ \epsilon $, each such space is $ (1,\epsilon ) $-quasi-isometric to a connected metric Lie group (metrized with a left-invariant distance that is not necessarily Riemannian).Next, we develop the structure theory of Lie groups to show that every homogeneous metric manifold is homeomorphically roughly isometric to a quotient space of a connected amenable Lie group, and roughly isometric to a simply connected solvable metric Lie group.Third, we investigate solvable metric Lie groups in more detail, and expound on and extend work of Gordon and Wilson [31, 32] and Jablonski [44] on these, showing, for instance, that connected solvable Lie groups may be made isometric if and only if they have the same real-shadow.Finally, we show that homogeneous metric spaces that admit a metric dilation are all metric Lie groups with an automorphic dilation.…”
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Incremental Graph Regulated Nonnegative Matrix Factorization for Face Recognition by Zhe-Zhou Yu, Yu-Hao Liu, Bin Li, Shu-Chao Pang, Cheng-Cheng Jia

“…In a real world application, we seldom get all images at one time. …”
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Wind speed prediction model based on multiscale temporal‐preserving embedding broad learning system by Jiayi Qiu, Yatao Shen, Ziwen Gu, Zijian Wang, Wenmei Li, Ziqian Tao, Ziwen Guo, Yaqun Jiang, Chun Huang

“…Experimental results on two real‐world wind speed datasets demonstrate the best performance of the proposed MTPE‐BLS model compared to that of others. …”
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Division-selection transfer learning for prediction based dynamic multi-objective optimization by Hongye Li, Fan Liang, Yulu Liu, Quanheng Zheng, Kunru Guo

“…Compared with other algorithms, the initial solution of DST-DMOEA is closer to the real POF, effectively reducing negative transfer. …”
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Expression Analysis of Fibronectin Type III Domain-Containing (FNDC) Genes in Inflammatory Bowel Disease and Colorectal Cancer by Tilo Wuensch, Jonas Wizenty, Janina Quint, Wolfgang Spitz, Madeleen Bosma, Olaf Becker, Andreas Adler, Wilfried Veltzke-Schlieker, Martin Stockmann, Sascha Weiss, Matthias Biebl, Johann Pratschke, Felix Aigner

“…Fibronectin type III domain-containing (FNDC) proteins fulfill manifold functions in tissue development and regulation of cellular metabolism. …”
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Exact controllability for systems describing plate vibrations. A perturbation approach by Bournissou, Megane, Ervedoza, Sylvain, Tucsnak, Marius

“…The same abstract results can be used to prove the exact controllability of the system obtained by linearizing the von Kármán plate equation around a real analytic stationary state. This leads, via a fixed-point method, to our second main result: the nonlinear system described by the von Kármán plate equations is locally exactly controllable around any stationary state defined by a real analytic function. …”
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Global Bifurcation in 2m-Order Generic Systems of Nonlinear Boundary Value Problems by Xiaoling Han, Jia Xu, Guowei Dai

“…It will be shown that if the functions, f and g are “generic” then the solution set of the systems consists of a countable collection of 2-dimensional, Ck manifolds.…”
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Generalized α-Attractor Models from Elementary Hyperbolic Surfaces by Elena Mirela Babalic, Calin Iuliu Lazaroiu

“…We consider generalized α-attractor models whose scalar potentials are globally well-behaved and whose scalar manifolds are elementary hyperbolic surfaces. Beyond the Poincaré disk D, such surfaces include the hyperbolic punctured disk D⁎ and the hyperbolic annuli A(R) of modulus μ=2log⁡R>0. …”
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Predicting Tipping Points in a Family of PWL Systems: Detecting Multistability via Linear Operators Properties by Joaquin Alvarez-gallegos, Sishu Shankar Muni, Hector Gilardi-velázquez, Rıcardo Cuesta-garcía, J. L. Echenausía-monroy

“…The linearized system of the model is analyzed, the stable and unstable manifolds are taken to be real vectors in space, and the changes suffered by these vectors as a result of the modification of the parameter are examined using such simple metrics as the magnitude of a vector or the angle between two vectors in space. …”
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