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Note that (H3.1) and (H3.3) imply, for every ((t,x,x' in[0,T]times mathbb{R}^{n} timesmathbb{R}^{n}), that the following function u rightarrowsigma bigl t,x,x',u bigr) is a bijection on (mathbb{R}^{ntimes d}).
imply for every k (in ) ({mathbb N}), t (in ) [0, T), (h ge 0) (with (t+h) (le ) T) and any "less regular" coefficients ({mathbf g}), u, w (as in Proposition 29) Open image in new window with a constant (C = {mathrm{const}} eta, rho, C_rho ) > 0).
Similar(58)
"Proponents" implies "for"; make it "proponents of".
This implies for every empirical thesis the prospect of being given up eventually, however well-grounded it may be in present science.
Analogously, which implies for every in the unit ball of, that is,.
On the other hand, the second equality of (2.27) implies for every, there is an, such that (232).
What does this imply for MBA students?
What does this imply for teaching?
And worse, what does this imply for women in space?
What does this imply for U.S. policy in Afghanistan today?
What does that imply for income distribution?
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com