Sentence examples for principal lay from inspiring English sources

More earldoms were created in the following reigns, until there were 13, but the Seven Earls (chosen as needed from the eventual 13) had become a constitutional and privileged body of great power acting as guardians of the realm and principal lay advisers to the king.

At his schools, the principals lay out firm curricular guidelines, in keeping with California state standards and Green Dot benchmarks, but teachers are free to huddle, and decide what to teach and how to teach it, for the most part, as long as students pass quarterly assessments.

He went on, "In the third act, the opera regains its footing as the principals lie in bed, recapturing both their histories and the meaning of what has just transpired".

The implicit message to principals: lie, cheat or steal, it hardly matters as long as test scores go up.

The principal Lie algebra is extended by the operator X 2 = ∂ t.

and we call the associate seven-dimensional Lie algebra the approximate principal Lie algebra of equation (2).

On the contrary, the complete symmetry classification of model (1) gives the following extensions of the principal Lie algebra.

The principal Lie algebra is extended by the operator X 2 = q β e − m t ∂ t + q x ∂ x + u ∂ u. (25).

Upon solving (16), the coefficients of symmetry generator (12) become ξ 1 = 0, ξ 2 = c 2 and η = 0. Therefore, we obtain a one-dimensional principal Lie algebra which is spanned by the operator X 1 = ∂ x.

Therefore, the extension of the principal Lie algebra is given by the operator X 2 = [ ( 2 − q ( 1 + 2 α ) ) + 2 m β e − m t ] ∂ t + 2 m x ∂ x + m ( 1 + 2 α ) u ∂ u. (22).

where c 5 = λ c 3 provided c 3 ≠ 0. The additional operator to the principal Lie algebra is given by X 2 = ( λ − q t ) ∂ t + u ∂ u. (38).