# barycentric

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## barycentric

(mathematics)
Centre of gravity, mean.
References in periodicals archive ?
where [X.sub.b,j+1], [Y.sub.b,j+1]--coordinates of the (j + 1)-th barycentre with respect to the OXY, [[psi].sub.j]-- the angle between line segment connecting j-th and the (j + 1)-th barycentres and OX axis.
Vector fields of orbital forces that acting around barycentres
Vector fields of repulsive forces that acting around barycentres
where [s.sub.j]--coefficient that specifies orbital force direction: for clockwise direction s = 1, otherwise s = -1, [F.sub.orb,0]--orbital force basis magnitude, [w.sub.o,j]--real number that define the orbital and the repulsive force area of action with the centre at the j-th barycentre, [X.sub.b,j], [Y.sub.b,j]--the j-th barycentre coordinates with respect to the world coordinate system OXY (see fig.
The mean distance of the barycentres of the sectional area of the upper and lower reinforcing bars from the nearest horizontal side of the core, of length b, is denoted as [h.sub.1].
The axial load and the bending moment that the principal reinforcement can bear with respect to the barycentre of the section are expressed by
Then, the axial load and bending moment with respect to the barycentre of the section that the secondary reinforcement can bear can be calculated by the following expressions:
(We will make use of the term centroid rather than barycentre used by other authors, but we will consider the two terms equivalent in our context.) Then, unlike the original Kaczmarz and Cimmino algorithms, the LA method determines the line through the two centroids [MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII] and [MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII], and, then, by moving along this line, obtains a new approximate solution point [x.sub.new].
To evaluate the accuracy of the computed location, the simulator computes the distance between the exact position of the mobile client and the balanced barycentre of the different locations of the list.

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