Sentence examples for rigged field from inspiring English sources

Let ((M,g)) be a null hypersurface of a Lorentzian manifold ((overline {M}^{n+2},overline{g})), ((overline{M}, overline{g}_{eta} )) be a Riemannian manifold constructed from the ambient Lorentzian, N be a null rigging for M fixed on M̅ satisfying (8) and ξ be a rigged field of M.

Let ((M, g, N )) be a closed normalized null hypersurface with rigged vector field ξ.

Let ((M,g,N)) be a normalized null hypersurface with rigged vector field ξ.

Let ((M, g, N )) be a closed normalized null hypersurface with rigged vector field ξ and (tau^{N} (xi) = 0 ) in a pseudo-Riemannian manifold.

We shall give the following result, involving the extrinsic Ricci curvature Ric to the associated Ricci curvature (operatorname{Ric}^{eta}). Let ((M,g,N)) be a closed normalized null hypersurface with rigged vector field ξ and (tau^{N} (xi =0 ) in a ((n + 2 -pseudo-Riemannian manifold.

This news should inspire the Obama administration to address the rigged playing field and open up talks with the United Arab Emirates (UAE) and Qatar.

As the final whistle blew, a forklift parked in an adjacent wheat field and rigged with Christmas lights burned "68" into a starry sky.

The system has always been rigged to tilt the playing field toward the privileged and the well-connected.

In particular this rigging fixes a unique null vector field (xiinGamma(TM^{bot})) called the rigged vector field.

Field workers flanked four by four on each side of a rigged school bus, clearing a watermelon field by throwing watermelons to each other and then into the bus.

A diesel generator that ran on waste oil supplied electricity, and a jury-rigged transmitter planted in a field provided Wi-Fi.