正是因为有了这些学校，我们的早期技工才普遍能读会写，并精通算术及部分几何和三角，这种情况在新英格兰和大西洋中部各州尤为可见。
especially in the New England and Middle Atlantic states, were generally literate and at home in arithmetic and in some aspects of geometry and trigonometry. （NETEM 1996 Passage 4, paragraph 3）
而最近的一些研究发现不同物种具有数数儿能力的例子，说明算术能力在生物中比之前认为的更普遍。
Recent studies, however, have uncovered new instances of a counting skill in different species, suggesting that mathematical abilities could be more fundamental in biology than previously thought.
我所做的是仅仅使用这些适合准确表达所面临问题的答案的工具，虽然有时候一些算术的普遍结果见诸文献。
I have only used the tools appropriate for a clear formulation and solution of the problem at hand, although sometimes there exist mathematically more general results in the literature.
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