barycentric

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barycentric

(mathematics)
Centre of gravity, mean.
References in periodicals archive ?
We call [alpha](v) the v-th barycentric coordinate of [alpha] and pv([alpha]) = [alpha](v) : [absolute value of K] [right arrow] [0, 1] is the corresponding v-th barycentric projection.
* generalized Lorentz transformation (Barycentric Celestial Reference System to Geocentric Celestial Reference System transformation including corrections due to annular parallax, light deflection, aberration)
One type of subdivision of particular interest in our proof is the barycentric subdivision from classical algebraic topology [Munkres 1984].
VISWANATH, Barycentric Hermite interpolation, SIAM J.
On the other hand, the dual basis function is constructed on the barycentric mesh.
The barycenter of [Sigma] is the point b([Sigma]) with barycentric coordinates [[Phi].sub.1] = 1/(k + i) for all i.
A useful way to express the Hermite interpolation polynomials are the so-called barycentric formulas.
Is there an associated Stanley-Reisner ring for the barycentric subdivision of a stratified space, and if so, what is the right version of the Cohen-Macaulay property ?
The realization of the category [PSI]([n]) is isomorphic as a simplicial complex to the barycentric subdivision of the (n - 1)-dimensional Stasheff associahedron [Assoc.sub.n-1].
Berrut and Trefethen  modified the Lagrange polynomial through the formula of barycentric interpolation and proposed an improved Lagrange formula.
Hence [DELTA]([bar.[[PI].sub.T]]]) is the barycentric subdivision of the boundary of the (n - 2)-simplex.
where (s,t) is the Barycentric coordinate of (x,y) in a triangle, and [MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII] are the Lagrangian interpolation positions in the triangle given by

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