Kinetics of Cd2+ and Cr3+ Sorption from Aqueous Solutions Using Mercaptoacetic Acid Modified and Unmodified Oil Palm Fruit Fibre (Elaeis guineensis) Adsorbents
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作者:
A. A. Abia
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机构:Department of Pure and Industrial Chemistry University of Port Harcourt B. M. B. 5323 Choba Port Harcourt Nigeria
A. A. Abia
E. D. Asuquo
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机构:Department of Pure and Industrial Chemistry University of Port Harcourt B. M. B. 5323 Choba Port Harcourt Nigeria
E. D. Asuquo
机构:
[1] Department of Pure and Industrial Chemistry University of Port Harcourt B. M. B. 5323 Choba Port Harcourt Nigeria
[2] Department of Pure and Industrial Chemistry University of Port Harcourt B. M. B. 5323 Choba Port Harcourt Nigeria
kinetics;
adsorbent;
agricultural by-products;
oil palm fruit fibre;
heavy metals;
D O I:
暂无
中图分类号:
TQ424 [吸附剂];
学科分类号:
摘要:
In this paper, we mainly study the relation of two cyclically reduced words w and w ′on the condi- tion they have the same trace polynomial (i.e., tr w= trw ′). By defining an equivalence relation through such operators on words as inverse, cyclically left shift, and mirror, it is straightforward to get that w ~ w ′ implies tr w = tr w ′. We show by a counter example that tr w = tr w ′ does not imply w ~ w ′. And in two special cases, we prove that tr w = tr w ′ if and only if w ~ w ′.
机构:
Univ Valle, Escuela Ingn Quim, Cali 23360, ColombiaUniv Valle, Escuela Ingn Quim, Cali 23360, Colombia
Jorge, Manrique-Julio
Nilson, Marriaga-Cabrales
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机构:
Univ Valle, Escuela Ingn Quim, Cali 23360, ColombiaUniv Valle, Escuela Ingn Quim, Cali 23360, Colombia
Nilson, Marriaga-Cabrales
Aracely, Hernandez-Ramirez
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机构:
Univ Autonoma Nuevo Leon, Fac Ciencias Quim, Ave Univ S-N, San Nicolas De Los Garza 64450, NL, MexicoUniv Valle, Escuela Ingn Quim, Cali 23360, Colombia
Aracely, Hernandez-Ramirez
Machuca-Martinez, Fiderman
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机构:
Univ Valle, Escuela Ingn Quim, Cali 23360, ColombiaUniv Valle, Escuela Ingn Quim, Cali 23360, Colombia