11.Thus，for instance，it may come as a shock to mathematicians1 to learn that the Schrodinger equation for the hydrogen atom is not a literally2 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 correctedequation is itself only an imperfect approximation to an infinite set ofquantum field-theoretical equations.
因此，舉例來講，對數學家而言，獲悉下述情形或許會令其驚愕不已，即薛定諤（Schrodinger）的氫原子方程式并不是是對該原子作出的一種絕然正確的描述，而只是個近似值，趨近于一個在某種程度上更為正確的將自旋、磁性偶極子、與相對論效應考慮在內的方程式；而這個得以糾正的方程式就其本身而言也只不過一個不完美的近似值，趨近于無窮無盡的一整套量子場論方程式。
12.The physicist3 rightly dreads4 precise argument，since an argument that isconvincing only if it is precise loses all its force if the assumptions onwhich it is based are slightly changed，whereas an argument that is convincing though imprecise may well be stable under small perturbations of its underlying5 assumptions.
物理學家恐懼于那些精準無誤的論據不無道理，由于某種只有在它是精準無誤的條件下才讓人置信的論據，一旦它賴于打造其上的假設稍有變化，便會失去它一部有哪些用途；而與此相反，一個盡管并不精準無誤但卻讓人置信的論據，在其基本假設（underlying assumption）稍微受干擾的狀況下，仍然大概是站得住腳的。
13.However，as they gained cohesion，the Bluestockings came to regard themselves as a womens group and to possess a sense of female solidarity6 lacking in the salonnieres，who remained isolated8 from one another by the primacy each held in her own salon7.
起初，藍襪女們確實模仿了法國沙龍女主人，將男士襄括到其小圈子中來。然則，伴隨她們獲得的凝聚力，她們漸趨將自己視作一女人團體，并擁有了一種婦女團結意識，而這種意識在法國沙龍女主人身上則蕩然無存，由于她們每一個人在其我們的沙龍中自視甚高而彼此孤立隔絕開來。
14.As my own studies have advanced，I have been increasingly impressed with the functional9similarities between insect and vertebrate societies and less so with the structural10 differences that seem，at first glance，to constitute such an immense gulf11 between them.
伴隨我的研究不斷深入，我對昆蟲和脊椎動物群落之間的功能類似性印象愈來愈深刻，而對結構上的差異印象愈發淡漠，雖然這類結構上的差異初看起來好像構成了二者間一條沒辦法愈越的鴻溝。
15. Although fiction assuredly springs from political circumstances，its authors react to those circumstances in ways other than ideological，and talking about novels and stories primarily as instruments of ideology12 circumvents13 much of the fictional14 enterprise.
雖然小說無疑起來自于政治情狀，但其作者則是以非意識形態的方法對這類政治情狀作出反應的，而將小說和故事主要地當作意識形態的工具來探討，會在相當程度上妨礙小說事業。