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Updated: Feb 4, 2026

Estimation of Contact Regions Between Hands and Objects During Human Multi-Digit Grasping
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Estimation of Contact Regions Between Hands and Objects During Human Multi-Digit Grasping

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通过隐式相互依赖模型对近似函数的多目标优化

Ziying Yuan1, Neil Qiang Su1

  • 1Center for Theoretical and Computational Chemistry, Frontiers Science Center for New Organic Matter, State Key Laboratory of Advanced Chemical Power Sources, Key Laboratory of Advanced Energy Materials Chemistry (Ministry of Education), Department of Chemistry, Nankai University, Tianjin 300071, China.

Journal of chemical theory and computation
|February 2, 2026
PubMed
概括

本研究介绍了EBI4MO,这是一个新的多目标优化框架,用于开发精确的密度函数理论 (DFT) 交换-相关性 (XC) 函数. EBI4MO确保了各种化学系统的平衡性能,优于传统方法.

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Second Derivatives of Implicit Functions

Elliptical arches are fundamental in architectural and structural engineering, offering aesthetic appeal and structural efficiency. The shape of an elliptical arch follows a constrained geometric relationship where the height and horizontal position are implicitly related. This means that the height y cannot be explicitly expressed as a function of the horizontal position x, necessitating implicit differentiation for slope and curvature analysis.The equation of an ellipse centered at the origin...
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Approximate Integration

In many practical and theoretical contexts, the exact value of a definite integral may be inaccessible. This limitation typically arises when the antiderivative of a function is either unknown or cannot be expressed in a closed mathematical form. Alternatively, it can occur when a function is defined not by a formula but by a finite set of empirical data points, such as those collected during experiments. In these cases, approximate integration techniques provide a valuable solution.One of the...
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Implicit Memories

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