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| 1 | CAD and CAE Integration Through Scientific Visualization Techniques for Illumination Design显示文摘Engineers tend to use different software to perform tasks such as geometry modeling, database management, numerical analysis, and visualization. This may cause decrease of productivity and loss of information during the conversion process between different data file formats. This paper presents a computer aided design (CAD) and computer aided engineering (CAE) system integration using scientific visualization tools and techniques. It deals with the development of a 3D CAD add-in for lighting analysis which uses the CAD model as 3D interface for creating a lighting scheme, processing, and visualizing 2D or 3D illuminance fields. Visualization features as color and contour mapping were developed using the visualization toolkit (VTK) toolkit. The application integrates all functionalities of the 3D CAD with tools for light sources database management, pre-processing, processing, and post-processing of illuminance fields in a single environment. This approach increases productivity and eliminates the need for different software. | Tiago Martinuzzi Buriol Sergio Scheer | 2008 | Tsinghua Science and Technology2008，13，S1： | 10 |
| 2 | The Willmore functional and the containment problem in R^4显示文摘Let∑be a convex hypersurface in the Euclidean space R4 with mean curvature H. We obtain a geometric lower bound for the Willmore functional∫∑H2dσ. This bound is an invariant involving the area of∑, the volume and Minkowski quermassintegrals of the convex body that∑bounds. We also obtain a sufficient condition for a convex body to contain another in the Euclidean space R4. | Jia-zu ZHOU School of Mathematics and Statistics, Southwest University, Chongqing 400715, China Department of Mathematics, Polytechnic University, Brooklyn, NY 11201, USA | 2007 | Science China Mathematics2007，50，3： | 9 |
| 3 | ON INTRINSIC RIGIDITY FOR MINIMAL SUBMANIFOLDS IN A SPHERE显示文摘In this paper, some intrinsic rigidity theorems are given for compact minimal submanifolds in a sphere. In particular, the pinching constant of J. Simons is improved for higher codimensions. | 沈一兵 | 1989 | Science China Mathematics1989，32，7： | 6 |
| 4 | Efficient full-path optical calculation of scalar and vector diffraction using the Bluestein method显示文摘Efficient calculation of the light diffraction in free space is of great significance for tracing electromagnetic field propagation and predicting the performance of optical systems such as microscopy,photolithography,and manipulation.However,existing calculation methods suffer from low computational efficiency and poor flexibility.Here,we present a fast and flexible calculation method for computing scalar and vector diffraction in the corresponding optical regimes using the Bluestein method.The computation time can be substantially reduced to the sub-second level,which is 105 faster than that achieved by the direct integration approach(~hours level)and 102 faster than that achieved by the fast Fourier transform method(~minutes level).The high efficiency facilitates the ultrafast evaluation of light propagation in diverse optical systems.Furthermore,the region of interest and the sampling numbers can be arbitrarily chosen,endowing the proposed method with superior flexibility.Based on these results,full-path calculation of a complex optical system is readily demonstrated and verified by experimental results,laying a foundation for real-time light field analysis for realistic optical implementation such as imaging,laser processing,and optical manipulation. | Yanlei Hu Zhongyu Wang Xuewen Wang Shengyun Ji Chenchu Zhang Jiawen Li Wulin Zhu Dong Wu Jiaru Chu | 2020 | Light(Science & Applications)2020，9，1： | 4 |
| 5 | RIGIDITY OF COMPACT MINIMAL SUBMANIFOLDS IN A LOCALLY SYMMETRIC AND CONFORMALLY FLAT RIEMANN MANIFOLD显示文摘RIGIDITYOFCOMPACTMINIMALSUBMANIFOLDSINALOCALLYSYMMETRICANDCONFORMALLYFLATRIEMANNMANIFOLD(陈广华,徐森林)￥ChenGuanghuaXuSenlin(Dept.o... | 陈广华 徐森林 | 1996 | Acta Mathematica Scientia1996，16，1： | 4 |
| 6 | Analysis of thickness-shear and thickness-twist modes of AT-cut quartz acoustic wave resonator and filter显示文摘The thickness-shear(TS) and thickness-twist(TT) vibrations of partially electroded AT-cut quartz plates for acoustic wave resonator and filter applications are theoretically studied. The plates have structural variations in one of the two in-plane directions of the plates only. The scalar differential equations derived by Tiersten and Smythe for electroded and unelectroded AT-cut quartz plates are used, resulting in free vibration resonant frequencies and mode shapes for both fundamental and overtone families of modes. The trapped modes with vibrations, mainly confined in the electroded areas, are found to exist in both the resonator and the filter structures. The numerical results for the trapped modes are presented for different aspect ratios of electrodes and material properties, providing a reference to the design and optimization of quartz acoustic wave resonators and filters. | Zinan ZHAO Zhenghua QIAN Bin WANG Jiashi YANG | 2015 | Applied Mathematics and Mechanics(English Edition)2015，36，12： | 3 |
| 7 | A NOTE ON THE PINCHING CONSTANT OF MINIMAL HYPERSURFACES WITH CONSTANT SCALAR CURVATURE IN THE UNIT SPHERE显示文摘S. S. Chern posed a problem as follows. Consider the set of all closed minimal hypersurfaces in Sn+1(1) with constant scalar curvature. Take the scalar curvature and the square of the length of the second fundamental form as a function on this set. Is the image of this function a discrete set of positive numbers? | 杨洪苍 成庆明 | 1991 | Chinese Science Bulletin1991，36，1： | 3 |
| 8 | THE THEORETICAL STUDIES OF PRODUCT ALIGNMENT OF THE REACTIONS OF Na,F WITH CH_3I显示文摘The NaI and IF product rotational alignment of the reactionsof Na,F+CH3I has been theoretically studied in a LEPS PES.Theproduct alignment versus the relative translational energy of the reactantshas been obtained. | Ke Li HAN Guo Zhong HE Nan Quan LOU State Key Laboratory of Molecular Reaction Dynamics,Dalian Institute of Chemical Physics,CAS,Dalian 116012,China | 1993 | Chinese Chemical Letters1993，4，6： | 3 |
| 9 | TRANSPORTATION OF PASSIVE SCALAR IN INHOMOGENEOUS TURBULENCE显示文摘The paper studies the transportation of passive scalar in the inho-mogeneous turbulence by means of large eddy simulation.The prediction accuracyis verified by the well-known Comte-Bellot spectrum of the homogeneous turbulence.The mean transportation properties are predicted with satisfaction and the underes-timation of the thermal flux by the phenomenological models has been disclosed.Thehigh intermittence of the temperature fluctuations has been found in the inhomoge-neous turbulence and it is the reason for the underestimation of turbulent thermalflux by the phenomenological model. | 崔桂香 陈宇光 张兆顺 许春晓 L.Shao J.P.Bertoglio | 2000 | Acta Mechanica Sinica2000，16，1： | 3 |
| 10 | POINTWISE CONVERGENCE RATE OF VANISHING VISCOSITY APPROXIMATIONS FOR SCALAR CONSERVATION LAWS WITH BOUNDARY显示文摘This article is concerned with the pointwise error estimates for vanishing vis- cosity approximations to scalar convex conservation laws with boundary.By the weighted error function and a bootstrap extrapolation technique introduced by Tadmor-Tang,an optimal pointwise convergence rate is derived for the vanishing viscosity approximations to the initial-boundary value problem for scalar convex conservation laws,whose weak entropy solution is piecewise C 2 -smooth with interaction of elementary waves and the boundary. The analysis method in this article can be used to deal with the case in which the piecewise smooth solutions of inviscid have finitely many waves with possible all kinds of interaction with the boundary. | 刘红霞 潘涛 | 2009 | Acta Mathematica Scientia2009，29，1： | 3 |
| 11 | THE STABILITY OF SCALAR AUTONOMOUS DIFFERENCE EQUATIONS显示文摘THESTABILITYOFSCALARAUTONOMOUSDIFFERENCEEQUATIONS￥ZhangShunian(AnhuiUniversity.)Abstract:Thegeneralcriteriaofstabilityforequi... | 张书年 | 1994 | Annals of Differential Equations1994，10，3： | 2 |
| 12 | Montgomery Algorithm over a Prime Field显示文摘New formulae for point addition and point doubling on elliptic curves over prime fields are presented.Based on these formulae, an improved Montgomery algorithm is proposed. The theoretical analysis indicates that it is about 13.4% faster than Brier and Joye's Montgomery algorithm. Experiments on the elliptic curve over a 256-bit prime field recommended by the National Institute of Standards and Technology and over a 256-bit prime field in Chinese elliptic curve standard SM2 support the theoretical analysis. | YU Wei WANG Kunpeng LI Bao TIAN Song | 2019 | Chinese Journal of Electronics2019，28，1： | 2 |
| 13 | Long-term adaptive informative path planning for scalar field monitoring using cross-entropy optimization显示文摘Dear editor,Robots are extensively used in various civil and military applications (1, 2)In the last decade, informative path planning (IPP) has been one of the most important research areas in modern robot engineering [3], especially in long-term monitoring of a particular area of interest. | Yang LI Rongxin CUI Weisheng YAN Demin XU | 2019 | Science China(Information Sciences)2019，62，5： | 2 |
| 14 | GENERALIZED SUBCONVEXLIKE FUNCTIONS AND MULTIPLE OBJECTIVE OPTIMIZATION 显示文摘GENERALIZEDSUBCONVEXLIKEFUNCTIONSANDMULTIPLEOBJECTIVEOPTIMIZATION￥YANGXinmin(DepartmentofMathematics,ChongqingNormalUniversit... | YANG Xinmin(Department of Mathematics, Chongqing Normal University, Chongqing 630047,China) | 1995 | Systems Science and Mathematical Sciences1995，8，3： | 2 |
| 15 | Review on cochlear implant electrode array tip fold-over and scalar deviation显示文摘Objective: Determine the occurrence rate of cochlear implant (CI) electrode tip fold-over and electrode scalar deviation as reported in patient cases with different commercial electrode types. Data-sources: PubMed search for identifying peer-reviewed articles published till 2018 on CI electrode tip fold-over and scalar deviation. Key-words for searching were “Cochlear electrode tip fold-over”,“Cochlear electrode scalar position” and “Cochlear electrode scalar location”. Articles-selection: Only if electrode related issues were investigated in patient cases. 38 articles met the inclusion-criteria. Results: 13 articles on electrode tip fold-over issue covering 3177 implanted ears, out of which 50 ears were identified with electrode tip fold-over with an occurrence rate of 1.57%. Out of 50 ears, 43 were implanted with pre-curved electrodes and the remaining 7 with lateral-wall electrodes. One article reported on both tip fold-over and scalar deviation. 26 articles reported on the electrode scalar deviation covering an overall number of 2046 ears out of which, 458 were identified with electrode scalar deviation at a rate of 22.38%. After removing the studies that did not report on the number of electrodes per electrode type, it was 1324 ears implanted with pre-curved electrode and 507 ears with lateral-wall electrode. Out of 1324 pre-curved electrode implanted ears, 424 were reported with scalar deviation making an occurrence rate of 32%. Out of 507 lateral-wall electrode implanted ears, 43 were associated with scalar deviation at an occurrence rate of 6.7%. Conclusion: This literature review revealing the fact of higher rate of electrode insertion trauma associated with pre-curved electrode type irrespective of CI brand is one step closer to obsolete it from the clinical practice in the interest of patient's cochlear health. | Anandhan Dhanasingh Claude Jolly | 2019 | Journal of Otology2019，14，3： | 2 |
| 16 | Low-complexity fractional phase estimation for totally blind channel estimation显示文摘To remove the scalar ambiguity in conventional blind channel estimation algorithms, totally blind channel estimation(TBCE) is proposed by using multiple constellations. To estimate the unknown scalar, its phase is decomposed into a fractional phase and an integer phase. However, the maximum-likelihood(ML) algorithm for the fractional phase does not have closed-form solutions and suffers from high computational complexity. By exploring the structures of widely used constellations, this paper proposes a low-complexity fractional phase estimation algorithm which requires no exhaustive search. Analytical expressions of the asymptotic mean squared error(MSE) are also derived. The theoretical analysis and simulation results indicate that the proposed fractional phase estimation algorithm exhibits almost the same performance as the ML algorithm but with significantly reduced computational burden. | Xu Wang Tao Yang Bo Hu | 2015 | Journal of Systems Engineering and Electronics2015，26，2： | 2 |
| 17 | New explicit algebraic stress and flux model for active scalar and simulation of shear stratified cylinder wake flow显示文摘On the numerical simulation of active scalar,a new explicit algebraic expression on active scalar flux was derived based on Wikstrm,Wallin and Johansson model (aWWJ model). Reynolds stress algebraic expressions were added by a term to account for the buoyancy effect. The new explicit Reynolds stress and active scalar flux model was then established. Governing equations of this model were solved by finite volume method with unstructured grids. The thermal shear stratified cylinder wake flow was computed by this new model. The computational results are in good agreement with laboratorial measurements. This work is the development on modeling of explicit algebraic Reynolds stress and scalar flux,and is also a further modification of the aWWJ model for complex situations such as a shear stratified flow. | HUA ZuLin GU Li XING LingHang DAI WenHong | 2009 | Science China(Technological Sciences)2009，52，9： | 1 |
| 18 | Scalar Alternatives and Scalar Inference Involving Adjectives:A Comment on van Tiel,et al.(2016)显示文摘Doran, et al.(2009, 2012) and van Tiel, et al.(2016) have presented experimental evidence that gradable adjectives (e.g.cool) yield scalar inferences (e.g.to not cold) significantly less often than do numerals, quantifiers and modals;their data also reveal considerable variability within the class of adjectives in the frequency with which inferences are likely to be generated.Van Tiel, et al.consider two main explanations for this variation:differences among pairs of adjectives in what they call scale distinctness (how easy or difficult it is to differentiate the adjectives), and differences in scale availability (how salient the stronger scalar alternative is).They argue that only scale distinctness plays a role, and a rather small one at that;they leave most of the variation unexplained.In this comment, I argue that their measures of scale availability were too crude to detect a role for contextual variation in the scalar alternatives that subjects consider, but that this latter variation is, in fact, a very plausible part of the explanation for the results.I discuss some specific ways adjectives might yield different scalar alternatives in different contexts, under sufficiently sophisticated assumptions about their lexical semantics and about the rhetorical structure of discourse. | Louise McNally | 2019 | 外国语2019，42，3： | 1 |
| 19 | Some Theorems in Affine Differential Geometry显示文摘In this paper we prove that an affine hypersphere with scalar curvature zero in a unimodularaffine space of dimension n+1 must be contained either in an elliptic paraboloid or in an affine image of thehypersurface x1x2…xn+1=const.We prove also that an affine complete,affine maximal surface is an ellipticparaboloid if its affine normals omit 4 or more directions in general position. | 李安民 | 1989 | Acta Mathematica Sinica,English Series1989，5，4： | 1 |
| 20 | OPERATORS IN ■ ARE M-HYPONORMAL显示文摘Suppose that T is an operator in (?), then T can determine a normal operator Lemma. Let T be an operator in (?) on a Hilbert space (?). Suppose that C is defined as in Eq. (1) and λ is a complex scalar. Then | 范明 | 1985 | Chinese Science Bulletin1985，30，10： | 1 |
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