Your English writing platform
Free sign upExact(6)
Let be a nonincreasing function and the Lebesgue measure on.
Let be a nonincreasing function defined from [0,1) onto (1/2,1] by (3.1).
Let be a nonincreasing function and assume that there are constants and, such that (4.1).
Let be a nonincreasing function, and assume that there is a constant such that (3.1).
Let be a nonincreasing function and assume that there are two constants and such that (3.1).
Let y ( t ) : R + → R + be a nonincreasing function and assume that there are two constants μ ≥ 1 and A > 0 such that ∫ s + ∞ y ( t ) μ + 1 2 d t ≤ A y ( s ), 0 ≤ s < + ∞, then y ( t ) ≤ C y ( 0 ) ( 1 + t ) − 2 μ − 1, ∀ t ≥ 0, if μ > 1, where C is positive constants independent of y ( 0 ).
Similar(54)
So (m(n)) is a nonincreasing function.
Therefore, is a nonincreasing function on.
Then is a nonincreasing function for and (2.13).
So φ is a nonincreasing function with μ.
where we assumed that r ( t ) is a nonincreasing function.
Write better and faster with AI suggestions while staying true to your unique style.
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.
Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com