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1)  nearly discretely weak refinable expandable
几乎离散弱可膨胀
2)  nearly discretely submetaexpandable
几乎离散次亚可膨胀
3)  almost expandable
几乎可膨胀
1.
If each X_α is pointwise collectionwise normal (σ-pointwise collectionwise normal,almost expandable,σ-almost expandable),then X is pointwise collectionwise normal(σ-pointwise collectionwise normal,almost expandable,σ-almost expandable).
设X是|Λ|-仿紧的且P表示下列四条性质中的任意一条:(i)点式集体正规性,(ii)σ-点式集体正规性;(iii)几乎可膨胀性;(iv)σ-几乎可膨胀性。
4)  nearly submetexpandable
几乎次亚可膨胀
1.
This paper proves the following results:Let X=lim→{Xα,παβ,Λ},λ=|Λ| and each projection πα is an open and onto mapping for each α∈Λ,if X is λ-paracompact and each Xα is nearly submetexpandable,then X is nearly submetexpandable.
如果X是λ-仿紧的且每个Xα是几乎次亚可膨胀的,则X是几乎次亚可膨胀的。
5)  σ-almost expandable
σ-几乎可膨胀
1.
If each X_α is pointwise collectionwise normal (σ-pointwise collectionwise normal,almost expandable,σ-almost expandable),then X is pointwise collectionwise normal(σ-pointwise collectionwise normal,almost expandable,σ-almost expandable).
设X是|Λ|-仿紧的且P表示下列四条性质中的任意一条:(i)点式集体正规性,(ii)σ-点式集体正规性;(iii)几乎可膨胀性;(iv)σ-几乎可膨胀性。
6)  almost expandability
几乎可膨胀性
1.
The difinitions of B i expandabilities,i=0,1,2 as the natural generalizatins of expandability,almost expandability and almost θ expandability are introduced respectively.
作为可膨胀性、几乎可膨胀性和几乎θ可膨胀的自然推广,引入了Bi可膨胀性的定义,i=0,1,2。
补充资料:离散时间周期序列的离散傅里叶级数表示
       (1)
  式中χ((n))N为一离散时间周期序列,其周期为N点,即
  式中r为任意整数。X((k))N为频域周期序列,其周期亦为N点,即X(k)=X(k+lN),式中l为任意整数。
  
  从式(1)可导出已知X((k))N求χ((n))N的关系
   (2)
  式(1)和式(2)称为离散傅里叶级数对。
  
  当离散时间周期序列整体向左移位m时,移位后的序列为χ((n+m))N,如果χ((n))N的离散傅里叶级数(DFS)表示为,则χ((n+m))N的DFS表示为
  

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