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Exact(39)
Then is a strictly increasing function for.
Since for, therefore is a strictly increasing function for.
Note that is an continuous increasing function for, and (2.32).
As a result, w q) becomes the total wages, which is an increasing function for q.
be given where is a continuous and strict increasing function for all with.
It is an increasing function for smaller outbreaks and seems to stabilize for longer outbreak sizes.
Similar(21)
In addition, both cosht and sinht are nonnegative, monotone increasing functions for (tgeq0).
(i) Suppose that (A_{alpha}(w)) and (A_{alpha,beta}(w)) are increasing functions for (w>0).
If y ≥ x, then we consider the function g ( z ) = t + ( 1 − t ) z − z 1 − t, z ≥ 1. Clearly f and g are increasing functions for all z ≥ 1, then f ( z ) ≥ f ( 1 ) = 0 and g ( z ) ≥ g ( 1 ) = 0. So, f ( x y ) ≥ 0 and g ( y x ) ≥ 0, i.e., the statement holds.
Since is a monotonically increasing function of for fixed, (24) is maximized by maximizing.
Therefore, the total channel capacity is not always monotonically increasing function of for the given power allocation, and and in [1] cannot be obtained.
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.
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