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| 1 | The representation theorem of onto isometric mappings between two unit spheres of l∞-type spaces and the application on isometric extension problem显示文摘In this paper, we first derive the representation theorem of onto isometric mappings in the unit spheres of real l∞-type spaces, then we conclude that such mappings can be extended to the whole space as (real) linear isometries. | DING Guanggui | 2004 | Science China Mathematics2004，47，5： | 30 |
| 2 | On isometric extension problem between two unit spheres显示文摘In this paper we introduce the isometric extension problem of isometric mappings between two unit spheres. Some important results of the related problems are outlined and the recent progress is mentioned. | Ding GuangGui School of Mathematical Sciences and LPMC, Nankai University, Tianjin 300071, China | 2009 | Science China Mathematics2009，52，10： | 12 |
| 3 | Multi-functional stretchable and flexible sensor array to determine the location, shape, and pressure: Application in a smart robot显示文摘The rapid increase in the aging population prompts the development of wearable devices and sophisticated robots. With their ability to collect complex information about their surroundings via e-skins, robots could perform more dynamic and variable tasks such as rescue missions or caring for the elderly. In this paper, we present a new concept of utilizing a very simple, highly flexible and stretchable capacitor sensor array, that can be attached on the surface of a retractable robot hand to realize three functions: determining the location, shape, and pressure of an object. This adaptive sensing system is accomplished using capacitors connected by aligned carbon nanotube(CNT) films constructed on an elastomer dielectric material, which can reduce the requirement on the accuracy of the machine vision system. This study has a very broad application in the manufacture of intelligent software robots. | HAN LiBiao DING JianNing WANG Shuai XU Jiang YUAN NingYi CHENG GuangGui LIU ZunFeng | 2018 | Science China(Technological Sciences)2018，61，8： | 9 |
| 4 | The isometric extension of “into” mappings on unit spheres of AL-spaces显示文摘In this paper, we show that if V0 is an isometric mapping from the unit sphere of an AL-space onto the unit sphere of a Banach space E, then V0 can be extended to a linear isometry defined on the whole space. | DING GuangGui School of Mathematics Science, Chern Institute of Mathematics and LPMC, Nankai University, Tianjin 300071, China | 2008 | Science China Mathematics2008，51，10： | 7 |
| 5 | On Extension of Isometries in (F)-Spaces | Ding Guanggui Huang Senzhong Department of Mathematics Nankai University Tianjin, 300071 China Department of Mathematics University of Iowa Iowa City IA 52242 USA Department of Mathematics Nankai University Tianjin, 300071 China Mathematisehes Institut Universitat Tubingen Auf der Morgenstelle 10 72076 Tubingen Germany | 1996 | Acta Mathematica Sinica,English Series1996，12，1： | 5 |
| 6 | THE UNIFORM BOUNDEDNESS PRINCIPLE IN SOME TOPOLOGICAL VECTOR GROUPS显示文摘It is shown that the famous Banach-Steinhaus theorem can be generalized to some families of nonlinear functionals defined on some topological groups and topological vector space, e.g. the F-spaced lβ(0 <β < 1) and S[a, b]. | DING Guanggui(Department of Mathematics, Nankai University, Tianjin 300071, China) | 2000 | Systems Science and Mathematical Sciences2000，13，3： | 5 |
| 7 | The isometrical extensions of 1-Lipschitz mappings on Gteaux differentiability spaces显示文摘Let X and Y be real Banach spaces.Suppose that the subset sm[S1(X)] of the smooth points of the unit sphere [S1(X)] is dense in S1(X).If T0 is a surjective 1-Lipschitz mapping between two unit spheres,then,under some condition,T0 can be extended to a linear isometry on the whole space. | DING GuangGui | 2011 | Science China Mathematics2011，54，4： | 2 |
| 8 | The approximation problem of almost isometric operator by isometric operator显示文摘 | Ding Guanggui | 1988 | Acta Math Scientia1988，8，： | 1 |
| 9 | Multivariate irregular sampling theorem显示文摘In this paper,we prove a Marcinkiewicz-Zygmund type inequality for multivariate entire functions of exponential type with non-equidistant spaced sampling points. And from this result,we establish a multivariate irregular Whittaker-Kotelnikov-Shannon type sampling theorem. | CHEN GuangGui FANG GenSun | 2009 | Science China Mathematics2009，52，11： | 1 |
| 10 | Linear widths of multivariate function spaces equipped with the Gaussian measure显示文摘 | Chen Guanggui Fang Gensun | 2005 | J Approx Theory2005，132，： | 1 |
| 11 | Study on DV-Hop algorithm based on modifying hop count for wireless sensor networks显示文摘 | Ding Jianning Zhang Li Cheng Guanggui | 2012 | IJCSET2012，2，10： | 1 |
| 12 | A sensitive immunoassay based on direct hapten coated format and biotin–streptavidin system for the detection of chloramphenicol显示文摘 | Na Sai Yiping Chen Nan Liu Guanggui Yu Pu Su Yi Feng Zhijiang Zhou Xiaoyu Liu Huanying Zhou Zhixian Gao Bao an Ning | 2010 | Talanta2010，，4： | 1 |
| 13 | Probabilistic and average widths of multivariate Sobolev spaces with mixed derivative equipped with the Gaussian measure 显示文摘 | Chen Guanggui Fang Gensun | 2004 | Complexity2004，，6： | 1 |
| 14 | The 1-Lipschitz mapping between the unit spheres of two Hilbert spaces can be extended to a real linear isometry of the whole space显示文摘 | Guanggui Ding | 2002 | Science in China Series A: Mathematics2002，，4： | 1 |
| 15 | Probabilistic and average widths of multivariate Sobolev spaces with mixed derivative equipped with the Gaussian measure 显示文摘 | Chert Guanggui Fang Gensun | 2004 | J Complexity2004，20，6： | 1 |
| 16 | A sensitive immunoassay based on direct hapten coated format and biotin–streptavidin system for the detection of chloramphenicol显示文摘 | Na Sai Yiping Chen Nan Liu Guanggui Yu Pu Su Yi Feng Zhijiang Zhou Xiaoyu Liu Huanying Zhou Zhixian Gao Bao an Ning | 2010 | Talanta2010，，4： | 1 |
| 17 | Probabilistic and average widths of multivariate Sobolev spaces with mixed derivative equipped with the Gaussian measure显示文摘 | Chen Guanggui Fang Gensun | 2004 | Complexity2004，，6： | 1 |
| 18 | Discrete nature of multivariate Paley-Wiener space显示文摘Eoff proves that the univariate Paley-Wiener space Bπ,p(R) is isomorphic to the discrete Hardy space Hp(R), 0 | CHEN Guanggui and FANG Gensun(Department of Mathematlcs, Beijing Normal University, Beijing 100875, China) | 2003 | Progress in Natural Science:Materials International2003，13，4： | 1 |
| 19 | Temperature-responsive peristome-structured smart surface for the unidirectional controllable motion of large droplets显示文摘The manipulation of fast,unidirectional motion for large droplets shows important applications in the fields of fog collection and biochemical reactions.However,driving large droplets(>5μL)to move directionally and quickly remains challenging due to the nonnegligible volume force.Herein,we fabricated a scalable,bionic peristome substrate with a microcavity width of 180μm using a 3D printing method,which could unidirectionally drive a large water droplet(~8μL)at a speed reaching 12.5 mm/s by temperature-responsive wettability.The substrate surface was grafted with PNIPAAm,which could reversibly change its wettability in response to temperature,thereby enabling a temperature-responsive smart surface that could regulate droplet movement in real-time by changing the temperature.A series of temperature-responsive smart patterns were designed to induce water transport along specific paths to further realize controllable droplet motion with the antibacterial treatment of predesignated areas.The ability to achieve temperature-responsive unidirectional motion and dynamic control of droplet movement could allow programmable fluidic biosensors and precision medical devices. | Yunyun Song Jialei Yang Xu Zhang Zhongqiang Zhang Xinghao Hu Guanggui Cheng Yan Liu Guojun Lv Jianning Ding | 2023 | Microsystems & Nanoengineering2023，9，5： | 0 |
| 20 | Coiled Polymer Artificial Muscles Having Dual-Mode Actuation with Large Stress Generation显示文摘Coiled polymer artificial muscles with both large tensile stroke and giant force generation are needed for practical applications in robotics,soft exosuits,and prosthesis.However,most polymer yarn artificial muscles cannot generate a large force or stress.Here,we report an inexpensive Twisted and Coiled Polymer artificial muscle(TCP)that performs both large isobaric and isometric contractions.This TCP can generate a tensile stroke of 20.1%and a specific work capacity of up to 1.3 kJ kg^(−1) during temperature changes from 20 to 180℃.Moreover,the nylon yarn artificial muscle produced a reversible output stress of 28.4 MPa,which is 100 times larger than human skeletal muscle.A robot arm and a simple gripper were made to demonstrate the isobaric actuation and isometric actuation of our TCP muscle,repectivley.Thus,the polymer artificial muscles with dual-mode actuation show potential applications in the field of robotics,grippers,and exoskeletons and so on. | Xinghao Hu Runmin Liu Kai Zhao Yilun Wang Xianfu Bao Lin Xu Guanggui Cheng Jianning Ding | 2023 | Journal of Bionic Engineering2023，20，4： | 0 |
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