Sentence examples for big sup from inspiring English sources

end{aligned}  Then it follows that begin{aligned} sup _{overline{E}}|u|=big (sup _{overline{E}}u^+big ) vee big (sup _{overline{E}}u^-big )=big (sup _{overline{E}setminus D}u^+big )vee big (sup _{overline{E}setminus D}u^-big )=sup _{overline{E}setminus D}|u|.

end{aligned}The new operator (L-c) has no zeroth-order term and consequently Assertion 1 implies that begin{aligned} sup _{overline{E}}u = sup _{overline{E}setminus D_+}u=big (sup _{overline{E}setminus D}ubig )vee big (sup _{Dsetminus D_+}ubig )=big (sup _{overline{E}setminus D}ubig )vee 0=sup _{overline{E}setminus D}u^+.

This weekend is the biggest SUP race of the year: The Molokai-2-Oahu Paddleboard World Championship: 32 miles of open ocean with 10- to 15-foot swells.

Italy is interested because she is the Community's biggest wine sup plier.

As the anarchists among you will already know, today is World Phone in Sick Day, a chance to sock one in the eye to Big Brother, while supping soup in front of Richard and Judy.

The cleverly named Supsquatch is the Big Foot of SUPs, or Stand-Up Paddleboards.

(Global a priori bounds) ( displaystyle sup _{t, zeta } ; Big ( big Vert mathcal{B} t, zeta ) big Vert _{L^infty ({{mathbb R}^{N}},{{mathbb R}^{N}})} + big Vert mathcal{C} t, zeta ) big Vert _{L^infty ({{mathbb R}^{N}})} Big ) ; < ; infty ).

Then there exists a sufficiently large radius (R > 0) with begin{aligned} sup _{n,in,{mathbb N}} big |mu _n big |({{mathbb R}^{N}}{setminus } {mathbb B}_R 0)) ; + ; big |mu big |({{mathbb R}^{N}}{setminus } {mathbb B}_R 0)) ; le ; varepsilon end{aligned}since ({ mu _n | n in {mathbb N}}) is tight.

On the basis of assumption (i) of Theorem 4, set the abbreviation begin{aligned} eta, :=, sup _{t, f} ; left( big Vert {mathrm{div}}_{mathbf x},mathcal{G} t, f) big Vert _{L^infty },+ big Vert mathcal{U} t, f) big Vert _{L^infty }, + big Vert mathcal{W} t, f) big Vert _{L^p} right) ; < ; infty.

(Global a priori bounds) ( displaystyle sup _{t, f} ; left( big Vert {mathrm{div}}_{mathbf x},mathcal{G} t, f) big Vert _{L^infty ({{mathbb R}^{N}})},+ big Vert mathcal{U} t, f) big Vert _{L^infty ({{mathbb R}^{N}})}, + big Vert mathcal{W} t, f) big Vert _{L^p({{mathbb R}^{N}})} right) ; < ; infty ).

Here the constant C depends on (displaystyle rho := sup _{t,in,[0,T]} big { Vert f(t Vert _{L^p}, Vert bar{f}(t Vert _{L^p} big } < infty ) and the bounds given in hypotheses (i) and (ii) of Theorem 4.