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1)  additive map
加法映射
1.
In this paper,the authors characterize the additive maps from H_n(D) into H_m(D) that preserve rank 1 in some addition.
本文刻画了某条件下从Hn(D)到Hm(D)保秩1的加法映射
2.
Struction of additive maps preserving rank-1 matrices from S_n(C) to H_n(C) are characterized.
确定了从Sn(R)到Hn(C)保秩1的加法映射的结构。
3.
In this paper it is shown that if f :Mmn(F)→Mpq(F) is an additive map preserving rank-one matrices and satisfying rank(f (G) + f (H)) >1 for some .
若一个映射f:Mm(nF)→Mpq(F)满足f(M1mn(F))哿M1pq(F)且f(A+B)=f(A)+f(B),坌A,B∈Mmn(F),则称f是保持秩1矩阵的加法映射
2)  additive mappings
加法映射
1.
Rank-one nonincreasing additive mappings on symmetric matrices;
对称矩阵空间上秩1非增长的加法映射(英文)
2.
The authors characterize additive mappings ψ on V × V such that ψ(Qs) ? Qs for a ?xed s.
刻划了V上满足Ψ(Qs) ? Qs的加法映射Ψ。
3)  additive rank preserver
保秩的加法映射
4)  poincare reflection
庞加映射
5)  additive map
可加映射
1.
Suppose thatΦ:A→A is an additive map and m,n are positive integers.
设Φ:■→■是可加映射。
2.
Using the additivity of the matrix,it is proved that every additive map preserving the lattices of invariant subspaces is of the form:Φ(A)=αA+φ(A)I(A∈Tn),where α is a nonzero scalar,φ:TnF is an additive map and I∈Tn is an identity.
利用矩阵的可加性,证明了Tn上的每一个保不变子空间格的可加映射Φ为:Φ(A)=αA+φ(A)I(A∈Tn),其中α是非零常数,φ∶Tn→F是可加映射,I∈Tn是单位算子。
3.
The form of each additive map φ:M→B(X) is proved that if there exist nonzero real m and n such that (m+n)φ(A2)-mAφ(A)-nφ(A)A ∈FI holds for all A ∈ M, then φ(A)=λA , where λ ∈F.
证明了若可加映射φ:M→B(X)满足A∈M,非零实数m和n,有(m+n)φ(A2)-mAφ(A)-nφ(A)A∈FI。
6)  additive mapping
可加映射
1.
A note on the linearity of an additive mapping;
关于可加映射线性性质的注记(英文)
2.
We study in this paper the structure of additive mappings on triangular matrix algebras which preserve commutativity.
本文研究了三角矩阵代数上保持交换性的可加映射的结构。
补充资料:并加法
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性质:制造固体催化剂的方法之一,即在沉淀时,原料溶液与沉淀剂各以一定流速同时加到沉淀罐中的方法。溶液维持一定的pH值,操作比较平稳,产品质量比较均匀。控制不同的pH值,则可得到所需要的产品;控制不同的加料速度则可得到不同大小的晶形颗粒。 

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