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基于极小化二阶导矢确定节点
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作者 张帆 潘景昌 《计算机应用》 CSCD 北大核心 2008年第7期1756-1758,共3页
构造参数拟合曲线的关键问题之一是为每个数据点指定一个参数值(节点)。提出了一种确定节点的新方法。对于每个数据点,新方法由相邻的三个数据点构造一条二次多项式曲线,二次曲线的节点通过极小化其二阶导矢的平方确定。两个相邻数据点... 构造参数拟合曲线的关键问题之一是为每个数据点指定一个参数值(节点)。提出了一种确定节点的新方法。对于每个数据点,新方法由相邻的三个数据点构造一条二次多项式曲线,二次曲线的节点通过极小化其二阶导矢的平方确定。两个相邻数据点间的节点区间由两条二次曲线确定。为使节点计算公式能有效反映出相邻数据点的变化情况,新方法改进了修正弦长方法并应用于节点计算。新方法是一个局部化方法,因此适合于曲线曲面的交互设计。实验结果说明,新方法比其他节点计算方法有效。 展开更多
关键词 参数多项式曲线 确定节点 目标函数
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Quantum Inverse Measurement Theory Contributing to the Birth of Interpretation System of Quantum Mechanics of Local-Realism and Determinism
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作者 Runsheng Tu 《Journal of Modern Physics》 2017年第8期1398-1469,共72页
The existing interpretation of quantum mechanics is contrary to common sense. The existing quantum mechanical interpretation schemes are puzzling. The confusing theory is unconvincing, and needs to be amended and comp... The existing interpretation of quantum mechanics is contrary to common sense. The existing quantum mechanical interpretation schemes are puzzling. The confusing theory is unconvincing, and needs to be amended and completed. The successful interpretation program of quantum mechanics of local-realism and determinism is undoubtedly the most attractive. Preparing the interpretation program deserves to be chosen as a research goal. It is a very good premise to believe that an object particle consists of light-knot of monochromatic waves. According to this premise, the erroneous recognition about “superposition principle, wave-particle duality and uncertainty principle” can be corrected. Under this premise, above research goal is achieved by establishing, applying quantum mechanics inverse measurement theory, adhering to the principle that there must be a complete empirical chain in the derivation process of experimental conclusion, and using the side effect caused by accompanying-light to explain the diffraction experiment of object particles. Electron secondarily diffraction and other experiments directly prove that there is the measurement (observation) which may not destroy quantum coherence. The diffraction experiments of all kinds of particles show that the Keeping and playing of the coherence of moving particles in the vacuum have nothing to do with their previous experience. These are the existing experiments, to be found, that support the theory of quantum inverse measurements. The verification experiment of quantum inverse measurement is designed. The absolute superiorities of quantum inverse measurement and the new view of measurement of quantum mechanics are listed. These superiorities are that: it has the characteristics of local-realism and determinism;it is not contrary to common sense and there is no confusing place;it can predict several phenomena that cannot be predicted by other theories. A solid theoretical foundation has been laid for “correctly understanding the microscopic world” and esta 展开更多
关键词 QUANTUM INVERSE MEASUREMENT LOCAL REALISM determinISM QUANTUM Entanglement Tu’s MEASUREMENT View of QUANTUM Mechanics Light-knot Electronic Structure Model
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