capping

This paper proves that sub - space cannot cover the whole linear space and concludes with some important relevant inferences which provides theoretic basis for the characteristics of linear space.论证了有限个真子空间复盖不了整个线性空间,并以此得出几个与真子空间有关的重要定理和推论,为深入线性空 间的性质讨论提供了依据。kln汉语字典

In this paper mesocompactness is characterized in term of well-monotonecover, interior-preserving cover,suborthocompact and cushioned refinement,which improves the results of Guoshi Gao and Lisheng Wu.本文利用良序单调复盖、内部保持复盖、次ｏｒｔｈｏ－紧及垫状加细等刻画了中紧性。kln汉语字典

Let f (k, r, n ) be the number of the coverings of Rk+r, nk by 1 ×k or k×1 rectangles, F (k, r, x ) be the generating function for the sequence { f (k, r, n ) }, we show that which generalizes the result of Tomescu [ 2, 3设k≥2，m＜2k，本文研究用1×k矩形复盖标号m×n矩形的问题，得到了完全复盖的充要条件，并未得复盖数的生成函教，从而推广了Tomescu[2]的结果。