isometrically
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E〓 is endowed with a new metric D, such that becomes a complete metric space. After that a locally convex complete pseudonormed space is constructed. Finally, E〓 is embedded into isometrically, and isomorphically.
在n维非紧模糊数空间E〓上引入一个新的度量D,使得成为一个完备的度量空间,然后我们构造了一个局部凸的完备赋准范空间,并将n维非紧模糊数空间等距同构地嵌入到空间之中。
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An embedding theorem ofL(〓,〓 which isometrically embeds L(〓,〓 into concrete Banach space〓[0,1] is obtained.
得到了一个将L(〓,〓嵌入到一个具体的Banach空间〓[0,1]的嵌入定理。
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Simons [30] proved the non-existence theorem for stable integral current in acompact Riemannian submanifold isometrically immersed into a unit sphere andvanishing theorem for homology groups. In 1984, Y. L. Xin [47] generalized theLawson-Simon\'s nonexistence theorem for stable integral current and vanishingtheorem for homology groups to the case of compact submanifolds in Euclideanspace, and gave several important applications.
Simons运用Federer-Fleming存在性定理[19]和几何测度论中变分技巧证明了单位球面中紧致黎曼子流形上稳定积分流的不存在性定理和同调群消没定理[30]。1984年,忻元龙将Lawson-Simons稳定积分流的不存在性定理和同调群消没定理拓广到了欧氏空间中紧致子流形的情形,并给出了若干重要的应用[47]。1997年,K。
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Simons [30] proved the non-existence theorem for stable integral current in acompact Riemannian submanifold isometrically immersed into a unit sphere andvanishing theorem for homology groups. In 1984, Y. L. Xin [47] generalized theLawson-Simons nonexistence theorem for stable integral current and vanishingtheorem for homology groups to the case of compact submanifolds in Euclideanspace, and gave several important applications.
Simons运用Federer-Fleming存在性定理[19]和几何测度论中变分技巧证明了单位球面中紧致黎曼子流形上稳定积分流的不存在性定理和同调群消没定理[30]。1984年,忻元龙将Lawson-Simons稳定积分流的不存在性定理和同调群消没定理拓广到了欧氏空间中紧致子流形的情形,并给出了若干重要的应用[47]。1997年,K。
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After a few days or weeks, you can start using your leg muscles isometrically to push your foot down while your leg is in the stretched position.
把脚从臀部横的张开做同样的动作,数天或数星期之後,你就可以在腿部伸展下用大腿肌肉等量使小腿下弯。
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