Your English writing platform
Discover LudwigExact(8)
From (3) we find that { φ ( x α ) } α ∈ Γ is a decreasing net of reals.
Let {x α }α∈Ω be a path in G. Then {φ(x α )} Ω is a decreasing net of real numbers.
Indeed, let ( x α ) α ∈ Γ, where Γ is the set of all ordinals, be a decreasing chain, then ( ϕ ( x α ) ) α ∈ Γ is a decreasing net of positive numbers.
Recall that given ({B_{s}}_{sin A}) a decreasing net of bounded subsets of X we defined (r(cdot)) associated to the net ({B_{s}} _{sin A}) as (r(x)=lim_{s} r x,B_{s})).
Let C be a set and ({B_{s}}_{sin A}) be a decreasing net of bounded subsets of X.
Let X be a Banach space and let ({B_{s}}_{sin A}) be a decreasing net of bounded subsets of X.
Similar(52)
These costs will decrease with a decreasing net effect of the vaccine in time.
This is a contradiction because Γ ′ is uncountable and any strictly decreasing net of real numbers must be countable.
These findings led to the hypothesis that the major motor coordination impairment observed in BK−/− mice results from a decreased net inhibition of deep cerebellar nuclei by the PCs [7].
Another explanation for the effect of the DNA input amount on the melt-peak height ratio could be dye translocation [38], [39], [40], causing a decreased net-release of reporter fluorochrome due to an amplicon-concentration dependent redistribution of dye molecules liberated by the melting of the lower Tm amplicons (7028C) to the higher Tm products (2706G).
Take ({B_{s}}_{sin A}) any decreasing net of bounded subsets, and let ((y_{n})_{n}) be a τ-convergent sequence to some point (yin X).
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