结论推广了线性算子半群的范数连续性质保持，丰富和完善了非线性算子半群的理论。

The result derived extends persistence of norm continuity of linear strongly continuous semigroups and enriches theory of semigroups of nonlinear operators.

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绳纹陶器与文化在许多当今的日本人民心头仍然可以产生强烈的共鸣，也许是因为它叙说了日本文化的独特性质，强调改变需要在传承性与连续性中进行。

Jomon POTS and culture have great resonance for many Japanese people today, perhaps because it speaks of the distinctive nature of Japanese culture that often stresses continuity through change.

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通过研究商空间之间映射的连续性和同胚性对于研究它们的性质有很重要的作用，所得结论可以得到更好应用。

So studying continuous and homeomorphism on the mapping of quotient Spaces plays the vital role to study their nature and we may obtain the very good conclusion and the application of it.

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