Furthermore, the discussions in a dissertation must satisfy the strictest rules of logic applied to mathematics and science.

此外，论文中的讨论必须满足应用于数学和科学的最严格的逻辑规则。

These pioneers applied supermarket logic to the conventional department store and developed a discount retail model which involves slashing costs by eliminating chandeliers, carpets, and personal service in exchange for lower prices.

这些先驱者将超市的逻辑应用于传统的百货商店，并开发了一种折扣零售模式，即通过取消吊灯、地毯和个人服务来削减成本，以换取更低的价格。

Each statement in a dissertation must be correct and defensible in a logical and scientific sense. Furthermore, the discussions in a dissertation must satisfy the strictest rules of logic applied to mathematics and science.

论文中的每一个陈述都必须在逻辑和科学意义上正确且站得住脚。此外，论文中的讨论必须满足应用于数学和科学的最严格的逻辑规则。