VALUE DISTRIBUTION THEORY AND DIOPHANTINE APPROXIMATION

In this paper, we will introduce some problems and results between Diophantine approximation and value distribution theory.     

Highly Strong Interaction between Fe/Fe3C Nanoparticles and N-Doped Carbon toward Enhanced Oxygen Reduction Reaction Performance

Transition metal compounds anchored on N-doped carbon (NC) show intrinsic activity and stability for oxygen reduction reaction (ORR). However, the interaction between the transition metal compounds and NC still needs to be strengthened for electron transfer at the compounds/carbon interface. Herein, Fe/Fe₃C hybrid nanoparticles encapsulated into N-doped carbon (Fe@NC) are used as high-performance ORR catalysts. Benefiting from the strong interaction at Fe/Fe₃C nanoparticles/NC interface, the electrons can transfer from Fe/Fe₃C hybrid nanoparticles to NC, redistributing the electron density of active sites and promoting the ORR process. The as-synthesized Fe@NC exhibits outstanding ORR catalytic activity with an onset potential of 1.01 V and a half-wave potential of 0.92 V in alkaline media. It also shows prominent cycling stability and tolerance to methanol crossover, superior to Pt/C catalyst. The theoretical analysis reveals that the Fe nanoparticles have regulated the electron distributions at the heterojunction interface. The Gibbs free energy diagrams for ORR illustrate that the rate-determining step is the conversion of OH* to OH⁻. In situ Raman spectra give evidence of O-containing intermediates to prove the ORR process.     

Holomorphic mappings between spaces of different dimensions. II

Partially supported by the National Natural Science Foundation of China     

Quantum Protocols for Private Set Intersection Cardinality and Union Cardinality Based on Entanglement Swapping

International Journal of Theoretical Physics - Quantum private set intersection cardinality (PSI-CA) and private set union cardinality (PSU-CA) are two specific primitives of classical secure...     

高速二元柔壁自适应风洞消除三元波反射探索

介绍了近年来跨音速二元柔壁自适应风洞中消除三元波反射的试验技术研究,包括研究现况、试验方法、试验结果与分析等。通过初步探索,展示了跨音速二元柔壁自适应风洞的潜力与应用前景。     

二元自适应壁风洞实验技术研究

介绍了在柔壁自适应壁风洞中，进行大堵塞比翼型低、跨音速实验消除洞壁干扰的研究，叙述了西北工业大学低、跨音速柔壁自适应壁风洞实验的迭代方案和高亚音速一步调整方案，以及所进行的实验和计算验证。结果表明，本文提出的洞壁调整方案可以有效地消除二维柔壁自适应风洞中大堵塞比翼型实验的洞壁干扰。