The consumption model based on life-cycle hypothesis and permanent income hypothesis drove a conclusion that the first-order condition of individual utility maximization is:So proved Ricardian Equivalence Proposition: Under the given expenditure
建立在生命周期和持久收入假说下的消费模型得出经济个体效用最大化的一阶条件：从而证明了“给定政府支出路径，经济个体的消费路径不受政府融资方式影响”的李嘉图等价命题。
参考来源 - 我国积极财政政策的动态作用机制和有效性的实证研究·2,447,543篇论文数据，部分数据来源于NoteExpress
The monopoly earns the revenue pq and pays the cost c. This leads to the first order condition, for the profit-maximizing quantity qm.
这样垄断者的收入为pq而成本为c。
First, in order to maximize the analog transmission and hydraulic top realistic condition, reduce design errors.
首先为了最大程度的模拟变速器拆装液压顶的现实工况，减少设计上的失误。
The toluene disproportionation shows the kinetic characteristic of a first order reaction under the experiment condition.
甲苯歧化在本文实验条件下表现为一级反应动力学特征。
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