collinear


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Related to collinear: Collinear vectors

collinear

[kə′lin·ē·ər]
(mathematics)
Lying on a single straight line.
References in periodicals archive ?
To complete the study of the equilibrium positions in the restricted fourbody problem one needs to consider the case when particle [P.sub.2] is situated in one of the collinear libration points [L.sub.1], [L.sub.2], [L.sub.3] and, therefore, the massive particles [P.sub.0], [P.sub.1], [P.sub.2] are located on the same straight line.
In conclusion, this paper takes a new perspective on the calculation of the transverse dynamical spin susceptibility for collinear magnetic systems, which seeks to circumvent current bottlenecks that prevent systematic improvements in the accuracy of quantitative first-principles simulations.
Kluge et al., "Fast, low-level detection of strontium-90 and strontium-89 in environmental samples by collinear resonance ionization spectroscopy," Spectrochrmrca Acra, vol.
The residual errors of both original (0.55 [+ or -] 0.04 mm) and modified (0.47 [+ or -] 0.08 mm) collinear point target phantom calibrations were also very small.
In this paper, offset and collinear are used to describe the geometric pattern of the anchor nodes, and the quantified features are discussed in Section 3.2.
It contains [S.sup.c.sub.n](R)/O(1) as a submanifold (the collinear configurations).
The area of the parallelogram is zero if generating its vectors are parallel (collinear) u(t)[parallel]i(t) when the apparent power is equal to IP.
Let n be the number of triples [MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII] such that they are collinear. Then the possible values of n for k = 3, ..., 9 are as in the following table:
Caption: Figure 5: Two collinear cracks in an infinite elastic plate subjected to the remote uniform tension stress.
Since [??] is collinear with [??] (as U[??] and y = U[??] are collinear) and [v.sub.i] [member of] [??] = span{[??], [??][??],..., [[??].sup.k-1] [??]}, the vectors [v.sub.i] can be represented by [v.sub.i] = [q.sub.i]([??]) [??] for certain polynomials [q.sub.i] (*) whose degrees are less than or equal to k-1.
Detection is made using the probabilistic Hough transformation because it is an optimum method for recognizing collinear points in an image.