The LLL algorithm is a well-known and widely used lattice basis reduction algorithm. In many applications, its speed is critical. Parallel computing can improve speed. However, the original LLL is sequential in nature. In this paper, we present a multi-threading LLL algorithm based on a recently improved version: an LLL algorithm with delayed size reduction.
The opal-like SiO 2 microcarriers with different pore diameters named opal-SiO 2 I and opal-SiO 2 II were synthesized and utilized as microcarriers to immobilize Rhizopus oryzae lipase (ROL) and Aspergillus oryzae α-amylases (AOA). ROL and AOA can be more stably immobilized on the cross-linked SiO 2 opals by neopentyl glycol diglycidyl ether (NGDE), which is the first attempt to use it as a cross-linking agent compared with glutaraldehyde. According to the morphology analysis, multiple layers of SiO 2 monodisperse microspheres were regularly packed and formed an opal-like structure, and enzymes were well scattered and immobilized throughout the SiO 2 opals. The results showed that the performance of enzymes immobilized on opal-SiO 2 II with a larger specific surface area was much better than that of opal-SiO 2 I.
The COVID-19 has had a significant impact on the global economy and actual economy. The semiconductor business has risen quickly in recent years, and the influence of COVID-19 on the semiconductor sector cannot be overlooked. As a result, based on semiconductor industry data, this research explores the applicability of the Fama-French five-factor model as well as changes in the five-factor coefficients before and after the epidemic. In particular, the data is obtained from CSMAR and the data span a four-year period, from January 2018 to December 2021. This paper first summarizes the relevant studies and literature in the past, then explains the meaning of capital asset pricing model and model equations, and uses the data of CASMR to conduct multiple regressions and obtain the coefficients of the five-factor model and T stat. Finally, the empirical results are analyzed and the corresponding conclusions are given. The results of this paper give the changes in the equations of the Fama-French five-factor model before and after the outbreak of the epidemic. According to the analysis, the comparison helps to determine the impact of the epidemic on the model and the market. These result shed light on guiding further investment and risk analysis.
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