In this paper we show that the vector fieldX∇, hon a based path spaceWo(M) over a Riemannian manifoldMdefined by parallel translating a curvehin the initial tangent spaceToMvia an affine connection ∇ induces a solution flow which preserves the Wiener measure on the based path spaceWo(M), provided the affine connection ∇ is adjoint skew-symmetric.
This comparison is possible because \(\mathbb{R}^{n}\), being an affine space, allows us to parallel translate a vector at a given point to any other point in \(\mathbb{R}^{n}\).
The significance of T is that the concentration of each chemical is constrained to evolve in an defined subspace, which is a parallel translation of T. Stoichiometric compatibility classes are parallel translates of the stoichiometric subspace.
Finally, Linguee, another free service, doubles as a translation dictionary and a search engine: enter your search term and target language (for 218 language pairs), and you get not only a translation, but examples of parallel (human translated) texts in which the word is used.
Plutarch's Parallel Lives, translated from the Greek into French by Jacques Amyot (1559) and then from the French into English by Sir Thomas North (1579), served as the inspiration behind Shakespeare's play Antony and Cleopatra (1606 07).
The asymmetric growth front is still described as part of an ellipse, as in the symmetric case, except that the centre of the ellipse is translated parallel to the underlying crystallographic plane in the direction of fast v.
A translation memory is a parallel database of previously translated content.
Parallel Stories, by Péter Nádas, translated from the Hungarian by Imre Goldstein (Farrar, Straus & Giroux).
Kim's national strategy of byungjin (often translated as "parallel development"), which emphasized the development of the country's economy along with its defense capabilities, was officially adopted during a 2013 meeting of the KWP central committee.
The resulting system achieves high-throughput expression, with a PCR-directed system at least 50 genes that can be translated in parallel, yielding between 0.1 and 2.3 mg of protein by one person within 2 days.
