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一个具有平均复杂性的SAT问题
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作者 苏鑫 胡红钢 《信息技术与网络安全》 2019年第9期18-23,29,共7页
最坏复杂性到平均复杂性的归约已被研究很多年。很多NP困难问题是最坏复杂性的。distNP类是平均复杂性的NP类,且有完全问题。LIVEN N证明了所有自然的NP完全问题都有平均复杂性的形式,但是他给出的概率分布是不自然的。在格问题方面,AJ... 最坏复杂性到平均复杂性的归约已被研究很多年。很多NP困难问题是最坏复杂性的。distNP类是平均复杂性的NP类,且有完全问题。LIVEN N证明了所有自然的NP完全问题都有平均复杂性的形式,但是他给出的概率分布是不自然的。在格问题方面,AJTAI和REGEV O分别提出了平均复杂性的困难问题,即短整数解问题(Short Integer Solution,SIS)和带错误学习问题(Learning With Errors,LWE)。给出一个可以归约到判定对于一个NP完全问题是否存在多项式时间算法,对值为1的实例给出一个见证,并且对值为0的实例给出一个归结辩驳的具有平均复杂性的SAT问题。本文方法是将求解NP完全问题的多项式时间算法的存在性转化成SAT问题的一组实例。同时也给出了这个问题的一些变形问题。 展开更多
关键词 NP conp 平均复杂性 LWE
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Lemna minor as a phytoremediator of cobalt nanoparticles:Insights into toxicity and remediation
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作者 Ana Carolina Mallin Raizza Zorman Marques +5 位作者 Rafael Shinji Akiyama Kitamura Maritana Mela Prodocimo Leonardo César de Moraes Cleber Cunha Figueredo Philippe Juneau Marcelo Pedrosa Gomes 《Water Biology and Security》 2026年第2期125-134,共10页
The extensive use of cobalt nanoparticles(CoNPs)in industrial and biomedical applications has raised envi-ronmental concerns,necessitating effective mitigation strategies.This study examines the phytotoxicity and phyt... The extensive use of cobalt nanoparticles(CoNPs)in industrial and biomedical applications has raised envi-ronmental concerns,necessitating effective mitigation strategies.This study examines the phytotoxicity and phytoremediation potential of CoNPs using Lemna minor L.,a recognized Co-hyperaccumulator.CoNPs exhibited significant sublethal toxicity at concentrations≥1000μg Co^(2+)/L,leading to oxidative stress and impaired growth,photosynthesis,and respiration.Despite these challenges,L.minor effectively removed over 99%of CoNPs from the medium,even at high concentrations(up to 20.000μg Co^(2+)/L),with gravimetric cobalt con-centrations reaching 1771μg Co^(2+)/g dry weight in plant tissues.Physiological responses to CoNPs were similar to those induced by equivalent concentrations of CoCl_(2),suggesting that CoNPs dissolve into Co^(2+)ions upon interaction with plants.However,ultrastructural analysis revealed distinct intracellular cobalt localization with CoNPs causing more severe chloroplast damage than ionic Co^(2+).These findings suggest two toxicity mechanisms:ionic effects from dissolved Co^(2+)and direct physical damage from intact nanoparticles.The resilience and hyperaccumulation capacity of L.minor makes it a promising candidate for the phytoremediation of cobalt-contaminated waters.The study underscores the importance of further research to elucidate CoNP environ-mental behavior and optimize phytoremediation approaches. 展开更多
关键词 Toxicity Plant metabolism Removal efficiency CoCl_(2) Ecotoxicology conp
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