Sentence examples for upper sheet of from inspiring English sources

Dual to the outer hyperboloid is the inner hyperboloid the hyperbolic 2-dimensional space, i.e. the hyperbolic plane, represented by the upper sheet of a two-sheeted hyperboloid.

As illustrated in Fig. 2, we then map the upper half of the outer one-sheeted hyperboloid representing the half of de Sitter spacetime with t > 0, to the upper sheet of the dual two-sheeted inner hyperboloid, which is the standard hyperboloid representation of the hyperbolic space 34.

One of the most important of these was the introduction of the heddle, a movable rod that served to raise the upper sheet of warp.

b Cold streamers diffused in the closed package and whelmed the pistachio sample 5 upper sheet of package, 6 pistachio sample, 7 lower sheet of package.

N simple poles at (tilde{nu}_{1}(0),ldots, tilde{nu}_{N}(n)) and a pole of nth order at (infty_{2}) on the upper sheet of Γ; N simple zeros at (tilde{nu}_{1}(n),ldots, tilde{nu}_{k}(n)) and a zero of the nth order at (infty_{1}) on the lower sheet of Γ. Straightening out the discrete flow.

N simple zeros at (tilde{mu}_{1}(n),ldots, tilde{mu}_{N}(n)) and a pole of the nth order at (infty_{2}= z=0,1),z=tilde{lambda}^{-1}) on the upper sheet of Γ; N simple zeros at (tilde{nu}_{1}(n),ldots, tilde{nu}_{N}(n)) and a zero of the nth order at (infty_{1}= z=0,-1)) on the lower sheet of Γ.

Intriguingly, the structural diversity is localized to the upper sheets of the β sandwich fold and may have important implications for multimerization and host cell ligand recognition.

The lower sheet (S^{a}) of the critical manifold (gray) is attracting and the upper sheet (S^{s}) is of saddle type.

It is observed that for most of the joints, crack initiated from the joint periphery and failure of the joints mainly occurred due to thinning of the upper sheet.

The third type initiates from the bend surface of the upper sheet outside the weld.

Under quasi-static loading conditions, the failure mainly starts from the necking of the upper sheet outside the weld.