在回家的途中，达夫检查了他几年以来的笔记，同时意识到那些公式与他自己建立的公式相同，他的那些公式是用弦论去描述黑洞。
Upon returning home, Duff checked his notebooks from a few years earlier, and realized the formulas were the same as those he developed to use string theory to describe black holes.
最后，关于弦场和辅助场，我们获得了可以给出任意高级次场方程和规范变换的递推公式。
Finally the equation for any higher level and the descent formula of gauge transformations for the string field and the supplementary field are given.
用矢量代数方法导出了弦步法与弧步法两组公式并作了例算对比。
The two sets of formulas for chord and are methods are derived by using vector algebraic method and some examples are listed for calculating and contrasting.
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