Your English writing platform
Discover LudwigExact(52)
The complaint said that the combined company would process about half of all PIN debit transactions in the country, giving it enough leverage to charge merchants higher fees, which would most likely be passed on to customers.
Assume that (Tp={p}) for all (pin F(T)).
A2.: (delta ( p,varnothing ) =infty) for all (pin X).
Then (sigma _n(h,P equiv P) for all (Pin mathbb{H }_{n/2}).
If (Tp={p}) for all (pin F(T)), then (F(T)) is convex.
It follows from the definition of T that (0leq p) for all (pin F(T)).
Similar(8)
Then for all (pin -infty,-2]), we have the following isopin -infty,-2]quality: biggl(frac{1}{|varGamma |} oint_{varGamma }|A-pin -infty,-2]{1/p} leqslant frac{|varGamma |}{2pi}.
All Pin-I members were single domain proteins.
Furthermore, an overall correlation of distance pairs with increased numbers of observations relative to the random background (red squares along the diagonal, blue squares primarily off-diagonally) for all PIN-MIN comparisons is evident, especially for the fPIN.
end{aligned} (3.16) Taking limits in the above inequality, we get begin{aligned} langle x_{1}-q, q-pranglegeq0 quadmbox{for all } pin mathcal{F}.
Finally, we show that (q=u=P_{mathcal{F}}x_{1}). Since (x_{n}=P_{C_{n}}x_{1}) and (mathcal{F} subset C_{n}), we obtain begin{aligned} langle x_{1}-x_{n}, x_{n}-p ranglegeq0 quadmbox{for all } pin mathcal{F}.
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