Synthesis and inclusion property of α-cyclodextrin-linked alginate

Polymer ◽  
2005 ◽  
Vol 46 (23) ◽  
pp. 9778-9783 ◽  
Author(s):  
Weeranuch Pluemsab ◽  
Nobuo Sakairi ◽  
Tetsuya Furuike
Keyword(s):  
2012 ◽  
Vol 24 (4) ◽  
pp. 1111-1119 ◽  
Author(s):  
Fang Guo ◽  
Hong-lin Li ◽  
Lei Li ◽  
Hong-cui Yu ◽  
Na Lu ◽  
...  
Keyword(s):  

2018 ◽  
Vol 166 (3) ◽  
pp. 583-597 ◽  
Author(s):  
GIUSEPPE FAVACCHIO ◽  
JUAN MIGLIORE

AbstractIn this paper we study the arithmetically Cohen-Macaulay (ACM) property for sets of points in multiprojective spaces. Most of what is known is for ℙ1× ℙ1and, more recently, in (ℙ1)r. In ℙ1× ℙ1the so called inclusion property characterises the ACM property. We extend the definition in any multiprojective space and we prove that the inclusion property implies the ACM property in ℙm× ℙn. In such an ambient space it is equivalent to the so-called (⋆)-property. Moreover, we start an investigation of the ACM property in ℙ1× ℙn. We give a new construction that highlights how different the behavior of the ACM property is in this setting.


2009 ◽  
Vol 70 (6) ◽  
pp. 2352-2355 ◽  
Author(s):  
Lian Ying Cao ◽  
Rui Zang

2017 ◽  
Vol 893 ◽  
pp. 012015 ◽  
Author(s):  
Al Azhary Masta ◽  
Hendra Gunawan ◽  
Wono Setya-Budhi

Author(s):  
I. Y. Shen

Abstract This paper describes an eigenvalue inclusion principle for a simple, rotationally periodic structure P whose i-th substructure Si is connected to a neighboring substructure Si+1 through a single-degree-of-freedom interface constraint Ii+1. The state vector vi+1 at the interface Ii+1, consisting of the displacement and the force at the interface, is represented in terms of the state vector vi at the interface Ii through transfer functions of the substructure Si. The periodicity of the structure P then requires that a linear combination of the transfer functions of Si be zero. As a consequence, a simple periodic structure P with period N will have exactly N eigenvalues lying between two consecutive eigenvalues of the substructure Si. Finally, this eigenvalue inclusion property is illustrated on a periodic structure with known exact eigensolutions.


2021 ◽  
Vol 40 (1) ◽  
pp. 1037-1049
Author(s):  
Deyin Wu ◽  
Yonghong Li

In this paper, we research a class of axioms in closed G-V fuzzy matroids. The main research method is to transform fuzzy matroids into matroids. First, we study many properties of the basis family of induced matroids, and define a new mapping which can reflect the relationship between bases of induced matroids of a G-V fuzzy matroid. Second, we discuss the new mapping, and reveal the relationship and properties among the fundamental sequence, the induced basis family and the new mapping of a G-V fuzzy matroid. From these relationships and properties, we extract four key attributes: normativity property, inclusion property, exchange property, and right surjection. Finally, we propose and prove “the induced basis axioms for a closed G-V fuzzy matroid” by these key attributes. With the help of these axioms, a closed G-V fuzzy matroid can be uniquely determined by a finite number sequence, a subset family and a mapping on this subset family when they satisfy above four attributes, and vice versa.


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