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 \(\mathbb{R}^{n}\).
Two Norwegian physicians fluent in German in parallel translated the questionnaire into from German into Norwegian.
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).
When adjusting, the tool translates parallel to the wall plane (I → J) to release the handle and prepare for the left walking.
When using a machine translation (MT) model trained on OLD-domain parallel data to translate NEW-domain text, one major challenge is the large number of out-of-vocabulary and new-translation-sense words.
A compiler flow is described that performs two key transformations: tiling, and metapipelining, to automatically translate parallel patterns to templates, and hardware.
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.
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.
