Sentence examples for bounded then the order from inspiring English sources

Suppose that f z) is a meromorphic function on C, if the spherical derivative f z) of f z) is bounded, then the order of f z) is at most 2. Lemma 2.6 (see [14]).

Under the assumptions in Theorem  3.1, if the function ((t,x,z mapsto f t,x,z)) and its partial derivatives of order 1 are bounded, then (u t, x in mathbb{D}^{1,2}) and D_{r,v}u t, x)={G_{alpha}}(r, v; t, x)+ int_{tau}^{t} int_{mathbb{R}}frac{partial{G_{alpha}}}{partial y}(s,y t,x frac{partial f}{partial z} bigl s,y,u s,y bigr)D_{r,v}u s,y),dy,ds for all (0leq rleq tleq T) and (x,vin{mathbb {R}}).

If every ordered interval is bounded, then is called a normal cone.

If the norm in is strictly monotonically increasing, then the order intervals in are bounded.

Garcia bounded through the Phillies' order, zipping cutters and sliders along the rim of the plate.

Apple could then appeal the order.

Duckenfield then gave the order.

Then the reduced-order models of the large-scale parametric models are automatically obtained using a posteriori output error bounds for the reduced-order models.

"Then the commander ordered, 'Shoot!

Mr. Edwards, who was born in South Carolina, then bounded across the stage wagging a finger.

The rabbits looked at them, then bounded away across the plain.