The proof relies on the
completeness of the real number system.
该证明依赖于实数系统的完整性。
In mathematics, the axiom of choice is a key ingredient in many proofs involving
completeness.
在数学中，选择公理是涉及完备性证明中的关键要素。
The detective ensured that the evidence gathered was comprehensive and complete.
侦探确保收集的证据既全面又完整。
The survey aimed for
completeness, covering all aspects of customer satisfaction.
该调查旨在做到全面，涵盖客户满意度的所有方面。
The author strives for narrative
completeness, intertwining all subplots seamlessly.
作者力求叙事的完整性，将所有副线情节天衣无缝地交织在一起。
The algorithm guarantees
completeness; it will always find a solution if one exists.
该算法保证了完整性；如果存在解决方案，它总能找到。
The set of real numbers is complete, meaning every Cauchy sequence converges within it.
实数集是完整的，意味着其中的每一个柯西序列都收敛。
Completeness of a language means it can express all computable functions.
一种语言的完备性意味着它可以表达所有可计算函数。
The course curriculum emphasizes both theoretical understanding and practical
completeness.
课程大纲强调理论理解和实践上的完整性。
The database is updated daily to ensure data
completeness and accuracy.
数据库每日更新，以确保数据的完整性和准确性。
There are still many issues concerning the legitimacy of the ocean discharge, the reliability of purification devices and the completeness of monitoring plans on the part of the Japanese side, the official added.
According to the report, the Chinese market has an advantage in terms of supply chain completeness compared with Europe, the US and Japan, where many of the industry's functions have been outsourced.
The supply of raw materials, the completeness of capital resources and the proportion of high-quality labor force can all determine the production cost.
Despite the fact that many foreign economies fully resumed production later last year, the completeness of their industrial and supply chains cannot compete with China's, said Liu Xiangdong, a researcher at the China Center for International Economic Exchanges in Beijing.
Even though many countries have resumed production since the second half of last year, their completeness of industrial and supply chains cannot compete with China's, and the nation's overall situation of using foreign capital will remain optimistic this year, said Liang Ming, a researcher at the Chinese Academy of International Trade and Economic Cooperation in Beijing.
Experts and business leaders said such efforts have played a key role in maintaining steady socioeconomic development and demonstrate China's unparalleled capabilities in manufacturing, which is characterized by its huge scale, completeness and high efficiency of related industrial and supply chains.
Pan said that the review process had been quickened as the emphasis of review was shifting from profitability to authenticity, completeness and accuracy of information disclosure.
"Therefore, the regulatory review of IPO application documents aims to ensure the authenticity, completeness and adequacy of their information disclosure.