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关于双曲余切导数的注记

Note on the derivative of the hyperbolic cotangent

G. W. Ford, R. F. O'Connell

摘要:

在一封信自然(福特G W和O'Connell R F 1996自然380 113),我们提出了一个公式的衍生物的双曲余切,不同于标准的文献中的一个额外的长期成比例的狄拉克δ函数。由于我们的信必须简短,在它出现后不久,我们准备了一个更广泛的未发表的说明,详细解释了我们的论点。由于这一注记已在最近的一篇文章(Estrada R and Fulling SA 2002 J. Phys. A:Math. Gen. 35 3079)中被引用,我们认为它现在出现在印刷品中是合适的。我们没有对原来的注释做任何改动。

英文摘要:

In a letter to Nature (Ford G W and O'Connell R F 1996 Nature 380 113) we presented a formula for the derivative of the hyperbolic cotangent that differs from the standard one in the literature by an additional term proportional to the Dirac delta function. Since our letter was necessarily brief, shortly after its appearance we prepared a more extensive unpublished note giving a detailed explanation of our argument. Since this note has been referenced in a recent article (Estrada R and Fulling S A 2002 J. Phys. A: Math. Gen. 35 3079) we think it appropriate that it now appear in print. We have made no alteration to the original note.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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