數(shù)學(xué)論文,審稿人的意見(jiàn)沒(méi)看懂,求助
投了一篇論文,審稿意見(jiàn)有這樣一段:
the denominator in (2.7) decreases, bu the author fails to show that this expression does not vanish in the interval (0,1). without this the assertion in line 37 is not valid.
論文中的相關(guān)內(nèi)容如下:
(2.7)[latex]\frac{g_1'(x)}{g_2'(x)}=\frac{1}{2(p+1)xcot x-(x^2-4p+2)}[/latex]
it is not difficult to verify that the function [latex]x cot x[/latex] is strictly decreasing
on (0,1). hence (2.7) implies that the quotient [latex]\frac{g_1'(x)}{g_2'(x)}[/latex] is strictly increasing in (0; 1).
accordingly, from lemma 2.1 and (2.6), it is deduced that the ratio [latex]\frac{g_1(x)}{g_2(x)}[/latex] is strictly
increasing in (0; 1).
沒(méi)讀懂上面的審稿意見(jiàn),求助大家,審稿人是什么意思?
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加油
不太懂,(2.7)在區(qū)間(0,1)的確是減小了,是需要證明分母趨向于無(wú)窮?不懂
字面意思,要看你的論文到底在寫(xiě)什么
論文中的內(nèi)容在帖子中有,針對(duì)前面的(2.7),審稿人說(shuō)but the author fails to show that this expression does not vanish in the interval (0,1).就是這句話讓我驗(yàn)證什么呢
不等于0
不等于0,數(shù)學(xué)中的vanish 一般指等于0
,