编辑点评: GRE的NO题是指GRE北美考题,有No.2~No.9,其中,No.2~No.8各有三套题,No.9有六套题,也是指北美历年考试的真题。这些题目非常重要,本文为大家从中摘录一些难理解的句子。
11.Thus,for instance,it may come as a shock to mathematicians to learn that the Schrodinger equation for the hydrogen atom is not a literally correct description of this atom,but only an approximation to a somewhat more correct equation taking account of spin,magnetic dipole,and relativistic effects;and that this corrected equation is itself only an imperfect approximation to an infinite set of quantum field- theoretical equations。
因此,举例来说,对数学家而言,了解到下述情形可能会令其惊愕不已,即薛定谔的氢原子方程式并非是对该原子作出的一种绝然正确的描述,而仅仅是个近似值,趋近于一个在某种程度上更为正确的将自旋、磁性偶极子、以及相对论效应考虑在内的方程式;而这个得以纠正的方程式就其本身而言也只是一个不完美的近似值,趋近于无穷无尽的一整套量子场论方程式。
12.The physicist rightly dreads precise argument,since an argument that is convincing only if it is precise loses all its force if the assumptions on which it is based are slightly changed,whereas an argument that is convincing though imprecise may well be stable under small perturbations of its underlying assumptions。
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