1) derived operator
导出算子
1.
Divided hysteresis from differential by derived operator,the existence and uniqueness of classical solution of a parabolic equation with hyteresis in chief part are proved.
引入导出算子分离Hysteresis与微分,证明了一个主部含Hysteresis的抛物型方程古典解的存在唯一性。
2.
If a normal implication\'s adjoint pairs is a triangle norm,then its derived operator is itself.
通过对一些蕴涵算子性质的的研究得出:伴随对是三角模的蕴涵算子一定是正规蕴涵;若正规蕴涵的伴随对是三角模则其导出算子是其自身;正则蕴涵算子的导出算子是其自身。
2) The Derived Operator of Kleene Implication Operator
Kleene蕴涵算子的导出算子
3) the derived operator G3 of Gdel implication operator
Gdel蕴涵算子的导出算子G3
4) the calculated velocity of a bullet; a derived value.
计算出的子弹速度;导出值。
5) induced subgraph
导出子图
1.
Veldman have offered some sufficient conditions characterized by forbidden induced subgraphs for dominating circuits and cycles.
Veldman〔3~ 5〕等人利用禁用导出子图给出控制闭迹、控制圈的若干充分条件 ,本文结合这两种方法得到了一个图具有生成闭迹的一个充分条件 。
2.
We show that if G is a 2 connected graph and max {d(u),d(v)}≥n2 for each pair of vertices u,v with d L(u,v) =2 in every induced subgraph L of G isomorphic to K 1,3 ,P 5 or P + 5 ,then G is hamiltonian.
我们证明了:如果G是2-连通的,并且对G中每一个同构于K1,3,P5或P+5的导出子图的两个顶点u,v,当dL(u。
3.
On the research of induced subgraph of the set of vertices of odd degree,a method was obtained.
通过对图的奇顶点的导出子图做研究,得到了由奇顶点的导出子图的性质判定图的超欧拉性的方法,即当图的奇顶点的导出子图满足一定性质时,可得出图的超欧拉性。
6) derived functor
导出函子
1.
With the help of relation of natural isomorphism of n-th left(right)derived functor,it is proved that a relation of isomorphism in regard to two functors of Hom and .
借助于第n左(右)导出函子的自然等价关系,讨论了Hom与2个函子的同构关系。
补充资料:凹算子与凸算子
凹算子与凸算子
concave and convex operators
凹算子与凸算子「阴~皿d阴vex.耳阳.勿韶;.留叮.肠疽“‘.小啊j阅雌口叹甲司 半序空间中的非线性算子,类似于一个实变量的凹函数与凸函数. 一个Banach空间中的在某个锥K上是正的非线性算子A,称为凹的(concave)(更确切地,在K上u。凹的),如果 l)对任何的非零元x任K,下面的不等式成立: a(x)u。(Ax续斑x)u。,这里u。是K的某个固定的非零元,以x)与口(x)是正的纯量函数; 2)对每个使得 at(x)u。续x《月1(x)u。,al,月l>0,成立的x‘K,下面的关系成立二 A(tx))(l+,(x,t))tA(x),0
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