Sentence examples for coordinates associated with from inspiring English sources

Talaska, A formula for Plucker coordinates associated with a planar network.

An increasing number of tweets have GPS coordinates associated with them which give the user's position to within a few metres.

While connectivity is encoded in a lossless manner, the floating-point coordinates associated with the vertices are quantized onto a uniform integer grid to enable efficient predictive compression.

Different expansions involving from 14 to 34 generalized coordinates, associated with natural modes of both simply supported and clamped clamped shells, are used to study the convergence of the solution.

The evolution of the curvilinear coordinates associated with the active subspace is described by non-stiff DEs, whereas that associated with the slow and fast subspaces is accounted for by applying algebraic corrections derived from asymptotics of the original problem.

Assuming that the GH joint translates according to the muscle load distribution, the redundant muscle load sharing problem is formulated considering as design variables the 3 translational coordinates associated with the GH joint translations, the joint reaction forces associated with the remaining kinematic constraints, and the muscle activations.

Before the proof of Theorem 1.1, we need a polar coordinate associated with ρ on (mathbb{H}_{1}).

(Y:= y_{1},y_{2})^{T}in R^{2}) is the coordinate associated with the projection of (X-X_{0}) onto the column space of (U_{0}), and (widetilde{Y} in R) is the coordinate associated with the projection of (X-X_{0}) onto the column space of (V_{0}); note that Ỹ might be locally represented by Y. Indeed, g(X_{0}+U_{0}Y+V_{0}widetilde{Y})=0.

In addition, frac{mathrm{d}{P}^{ast}(s)}{mathrm{d}s} parallel -nabla T (4). in which s is the curvilinear coordinate associated with the minimum cost path P ∗ and ∥ is the symbol for two parallel vectors.

Hence, the expansion coefficients depend on the solvent coordinate associated with the PT process.

For example, a free energy surface for the enzyme adenylate kinase was defined in a two coordinate fashion via a conformational coordinate associated with the motion from the open to closed active site configuration and a collective reaction coordinate [91].