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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.
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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 \(\mathbb{R}^{n}\).
Two Norwegian physicians fluent in German in parallel translated the questionnaire into from German into Norwegian.
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 article presents the inverse dynamics model of a novel translating parallel machine and proposes the structure of a force controller for the execution of tasks characterised by interaction with the environment.
Parallels and leads to translating guidelines into practice may be found in successful antenatal smoking cessation interventions [ 51].
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.
Based on all of our findings, we propose that the parallel phenotypic novelty within species may translate into parallel phenotypic novelty between species providing a possible bridge between micro- and macroevolution.
This process driving parallel phenotypic novelty within species may translate into parallel phenotypic novelty between species, and as in the case pharyngeal jaws of cichlid fish [ 83], slight variations accumulated in one of the lineages may potentially fuel phenotypic diversification.
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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