1) convergence in norm
依范数收敛
1.
The fundamental relationship between convergence in measure and convergence in norm of sequence of functions {f_n(x)} in L~p is that convergence in norm is able to deduce convergence in measure,however,the inverse proposition is false.
Lp空间中的函数列{nf(x)}依测度收敛与依范数收敛的基本关系是:依范数收敛可推出依测度收敛,但逆命题不成立。
2.
The fundamental relationship between convergence in measure and convergence in norm of sequence of functions {f_n(x)} in integrable function space L~p is that convergence in norm is able to deduce convergence in measure while the inverse proposition is false.
可积函数空间Lp空间中的函数列{fn(x)}依测度收敛与依范数收敛的基本关系:依范数收敛可推出依测度收敛,但逆命题不成立。
2) norm convergence
范数收敛性
1.
The relationships between the strict convergence and norm convergence,strong convergence as well as weak convergence of a net of bounded linear operators on a Hilbert C*-module are discussed.
讨论了Hilbert C*-模上的有界线性算子网的严格收敛性与范数收敛性、强收敛性、弱收敛性之间的关系,证明了:严格收敛的算子网{Tλ}λ∈Λ的伴随算子网{Tλ*}λ∈Λ也是严格收敛的;严格收敛性是保持加法和数乘运算的;两个严格收敛算子网之积仍是严格收敛的;严格收敛的算子网一定是强收敛的。
3) exponential convergence in probability
依概率指数收敛
4) Lp-norm convergence
Lp范数收敛性
1.
Let(Tk,k∈P)be a series of operators with property Δ,the methods of martingale are applied to consider Lp-norm convergence of a kind of partial sum sequences｛nk=1Tk,f｝.
设(Tk,k∈P)为一列具有Δ性质的算子,本文运用鞅方法考虑了部分和序列{∑nk=1Tkf}的Lp范数收敛性,得到了一些充分条件,所得结果对于研究鞅变换的收敛性问题是很有用的。
5) uniformed convergence of norm
范数一致收敛
1.
The problem of uniformed convergence of norm was discussed with the application of the conclusion.
观察Lipschitz条件与范数等价的命题在形式上的一致性,证明推导了结论:范数可以成为一个压缩映像,并利用这一思想来讨论范数一致收敛的问题。
6) The convergent sequence coefficient in measure
依测度收敛序列系数
补充资料：依数性(colligativeproperty)
【依数性】(colligativeproperty)稀溶液的某些只决定于溶质分子的数目而与溶质的本性无关的性质。主要有难挥发性溶质的稀溶液的蒸气压降低、沸点上升、冰点下降及渗透压等。
说明：补充资料仅用于学习参考，请勿用于其它任何用途。
参考词条