equivalent propositions meaning in English

等值命题

Another equivalent proposition on convex function
凸函数的又一等价命题
This paper gaves its equivalent propositions and proves that a . s . convergence of independent random variables ' s sum variables is equivalent to its probability convergence , and equivalent to its weak convergence
给出了它的几个等价命题，同时还证明了独立随机变量和序列几乎处处收敛等价于依概率收敛，亦等价于依分布收敛。
Based on this model , we studies the simultaneous existence of the agent ' s optimal capital stock and income , the government ' s optimal tax and public expenditure ( we call the combination as an equilibrium mechanism ) , this essay draws the equivalent proposition of equilibrium mechanism existing and converts the former problem into another problem of selecting public sector mechanism that only includes the government behavior
在此模型中，我们研究了消费者的最优资本存量和收入，以及政府的最优税收和公共花费的存在性(我们把上述的四元组合称为一个均衡机制) 。本文先建立了均衡机制存在性的一个等价命题，然后将均衡机制存d硕士学位论文n wymunr ’ stimis在性问题转化为只有政府行为的公共部门机制选择问题，从而得到最优税收等的存在性。