所建立指数律的状态观测器，实现了以较少传感器估计系统弹性振动模态的目的。

An exponential observer based on fewer sensors is constructed so that elastic modes of the systems can be available at all instants.

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文章通过研究在发现套利机会后，以追踪误差最小化为目标建立指数复制的问题及其数学模型。

The paper concerns on the index replication problem after arbitrage opportunity are owned, and then a mathematical model is established to aim at minimizing tracking error.

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这一指数是建立在描述人体和大气之间的湿热交换关系基础上的。

The index is grounded in established relationships describing the exchange of heat and moisture between the human body and the atmosphere.

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Here's a pyramid that was established from the glycemic index, so this would be a little bit different version of the pyramid.

这个金字塔是基于血糖指数建立的,这个版本的食物金字塔有些许不同

耶鲁公开课 - 关于食物的心理学、生物学和政治学课程节选

To my surprise, nobody had before created a hundred-year long home price index, which seems surprising to me because the long history of home prices seems like a relevant fact; we want to know what markets do.

让我惊讶的是,此前居然没有人建立百年房屋价格指数,这点让我很惊讶,因为长期的历史房屋价格,看起来似乎是有关联的,我们很想知道市场的动向

耶鲁公开课 - 金融市场课程节选