数学论文,审稿人的意见没看懂,求助
投了一篇论文,审稿意见有这样一段:
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.
论文中的相关内容如下:
(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).
没读懂上面的审稿意见,求助大家,审稿人是什么意思?
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不太懂,(2.7)在区间(0,1)的确是减小了,是需要证明分母趋向于无穷?不懂
字面意思,要看你的论文到底在写什么
论文中的内容在帖子中有,针对前面的(2.7),审稿人说but the author fails to show that this expression does not vanish in the interval (0,1).就是这句话让我验证什么呢
不等于0
不等于0,数学中的vanish 一般指等于0
,