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end{aligned} (4.2 The inequality (D(X||Y) le D_{BS}(X||Y)) together with Lemma 1.11 gives begin{aligned} Psi _{BS}(H,Y) le Psi (H,Y) = mathrm{Tr}[e^{ H +log Y} - mathrm{Tr}[Y].
This model used simplified descriptions of LE conversion processes, together with emission factor estimates for feedstocks and supply chain operations, to determine the sensitivity of GHG emissions estimates to changes in the supply chain.
This model uses simplified descriptions of LE conversion processes, together with feedstock and ethanol price estimates and finance scenarios, to determine the sensitivity of the production cost to changes in the supply-chain.
They got together with Le Gall — who was an old radical feminist, and already a fierce paritaire — and the project changed.
They got together with Le Gall who was an old radical feminist, and already a fierce paritaire and the project changed.
In 1973, he won the Nobel Peace Prize, together with Le Duc Tho, for negotiating the pullout of American troops in return for a cease-fire and the preservation of the South Vietnamese government.
He was talking about his work in progress, the restoration of the Bosquet du Théâtre d'Eau, or Water Theatre Grove, one of fifteen themed groves nestled in the forest park of the Château de Versailles, which André Le Nôtre laid out, together with Charles Le Brun and Pierre Lepautre, and a team of hydraulics experts, between 1671 and 1674, at the behest of Louis XIV.
That evening I was catching the train to Chandigarh where the "Manchester Guardian" was sending me to write about the new capital for the Punjab which Le Corbusier was building, together with Jane Drew, Maxwell Fry, and Pierre Jeanneret, according to a master plan prepared by the American town planner Albert Mayer.
He had a strong line in self-deprecation (on learning that a young British composer was notably slow in delivering, he commented, "Il n'est pas le seul") and this, together with his refusal to pontificate, perhaps contributed to the slow growth of his fame.
Using the fact that (|A^{alpha beta }| le delta ^{-1}), together with (7.4) and Hölder's inequality, it follows that begin{aligned} Vert (bar{A}^{alpha beta }- A^{alpha beta })D_beta uVert _{L_2 widetilde{B}^+_{3R/4}(rho R,0))}le Ngamma ^{frac{1}{2nu }}R^{frac{d}{2nu }} Vert DuVert _{L_{2mu }(widetilde{B}^+_{3R/4}(rho R,0))}.
For the estimate (3.56), we need to first take R sufficiently small so that there exists a cut-off function (zeta in C^0 {bar{B}}_R cap C^2(S_zeta )), (0le zeta le 1) satisfying (3.60) together with the boundary condition begin{aligned} D_beta zeta = 0 quad mathrm{on} partial Omega cap S_zeta.
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com