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日本小学数学教材“多边形的面积”单元内容特征与启示 被引量:2
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作者 杨新羽 郭贝贝 +1 位作者 杨慧娟 严文海 《南京晓庄学院学报》 2023年第1期55-61,共7页
多边形的面积是小学数学“图形与几何”领域的主要内容之一,是培养学生的量感、几何直观、推理意识、创新意识等核心素养的重要载体。日本《新算数》在这一单元整体编排有其较为明显的特征:注重整体性和联系性;编排思路体现一致性。内... 多边形的面积是小学数学“图形与几何”领域的主要内容之一,是培养学生的量感、几何直观、推理意识、创新意识等核心素养的重要载体。日本《新算数》在这一单元整体编排有其较为明显的特征:注重整体性和联系性;编排思路体现一致性。内容选择的特点是难点分散化及习题条件多余化。内容呈现有以下特征:注重思维方法多样化;插图真实、简洁、统一。由此提出对于我国教材编修与教学改革的建议:在单元整体上,要注重单元相关内容结构化整合;在内容选择方面,重视化解难点,多角度理解数学本质和适当增加有多余条件的题目;在内容呈现方面,关注思维发散性,聚焦本质统一性,插图设计兼顾知识特征、学生心理与美育价值。 展开更多
关键词 小学数学教材 《新算数》 多边形的面积 核心素养
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A New System of Variational Inclusions with (H,η)-accretive Operators in Banach Spaces 被引量:3
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作者 LIU Ying CHEN Yong-li HE Zhen 《Chinese Quarterly Journal of Mathematics》 CSCD 北大核心 2008年第4期565-573,共9页
In this paper, we first introduce a new class of generalized accretive operators named (H,η)-accretive in Banach space. By studying the properties of (H,η)-accretive, we extend the concept of resolvent operators... In this paper, we first introduce a new class of generalized accretive operators named (H,η)-accretive in Banach space. By studying the properties of (H,η)-accretive, we extend the concept of resolvent operators associated with m-accretive operators to the new (H,η)-accretive operators. In terms of the new resolvent operator technique, we prove the existence and uniqueness of solutions for this new system of variational inclusions. We also construct a new algorithm for approximating the solution of this system and discuss the convergence of the sequence of iterates generated by the algorithm. 展开更多
关键词 q-uniformly smooth Banach space (H η)-accretive operator resolvent operator technique system of variational inclusion iterative algorithm
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Design of nuclear radiation level gauge based on normalized LMS filtering correction 被引量:1
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作者 WU Zuo-peng WANG Xiao-peng WU Xu 《Journal of Measurement Science and Instrumentation》 CAS CSCD 2019年第2期103-108,共6页
In the measurement of liquid level in industrial site environment,noise interference can affect the measurement accuracy.In order to improve the measurement accuracy of liquid level in the viscous state,a nuclear radi... In the measurement of liquid level in industrial site environment,noise interference can affect the measurement accuracy.In order to improve the measurement accuracy of liquid level in the viscous state,a nuclear radiation level measurement system based on the least mean square(LMS)filtering correction method is designed.The system uses STM32F103 as the control core and adopts HART bus HT1200M chip for remote signal transmission and reception.The adaptive LMS algorithm can be used for more accurate filtering,calculating iterative weight vector,updating weighted coefficient,effectively removing system measurement noise and improving the measurement accuracy.The results show that the nuclear radiation level gauge based on normalized LMS can correct the measurement system accuracy in adaptive rules,improve the measurement accuracy to meet the requirements of industrial field environment for liquid level measurement and enhance the industrial automation control degree. 展开更多
关键词 least mean square(LMS) nuclear radiation method self-adaptive algorithm weighted coefficient updating level gauge
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An Investigation of Innovative Experimental and Numerical Techniques to Detect Boundary Layer Transition
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作者 Alessandro Cinciripini Pascal Bader +1 位作者 Giacomo Persico Wolfgang Sanz 《Journal of Mechanics Engineering and Automation》 2017年第4期221-234,共14页
Different methods to detect boundary layer transition are investigated within the scope of this paper. Laminar and turbulent boundary layers exhibit a significantly different behavior, not only regarding skin friction... Different methods to detect boundary layer transition are investigated within the scope of this paper. Laminar and turbulent boundary layers exhibit a significantly different behavior, not only regarding skin friction but also for heat-transfer which affects the blade cooling design. The present work presents a novel and non-intrusive measurement technique to detect the transition, based on acoustic concepts. The reliability of the technique was investigated by means of boundary layer measurements over a fiat plate in subsonic flow conditions. After a preliminary assessment with a conventional Preston tube, a row of microphones were installed along the plate to correlate transition pressure fluctuations. To provide a comprehensive representation of the experiment, dedicated measurements with a fast response aerodynamic pressure probe were performed to determine the turbulence intensity and the dissipation rate upstream of the flat plate. The experimental results were systematically compared with calculations performed with three different computational fluid dynamics solvers (ANSYS-Fluent, ANSYS-CFX, OpenFOAM) and using both the k-k1-ω and the γ-Reθ transition models. Results show a fair agreement between CFD (computational fluid dynamics) predictions and the acoustic technique, suggesting that this latter might represent an interesting alternative option for transition measurements. 展开更多
关键词 Boundary layer transition acoustic measurements CFD Preston tube flat plate
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