以下为句子列表：
英文: Abstract: Solving a mathematical problem is a procedure of seeking out a road that links the initial state with the final state of the problem in problem space.The mathematical method is used to discuss this process.
中文: 文摘:数学问题的解答，是在问题空间中寻求一条由问题初始状态到目标状态的通路，用数学方法描述这一过程.
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英文: This past June one of us (Lloyd) showed that the Horowitz-Maldacena mechanism is robust; it does not depend on what exactly the final state is, as long as there is one.
中文: 今年6月，罗伊德（作者之一）证明了只要有个最终状态存在，不论其样貌为何，霍洛维兹–马多西纳机制都禁得起考验。
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