collinear


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Related to collinear: Collinear vectors

collinear

[kə′lin·ē·ər]
(mathematics)
Lying on a single straight line.
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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.
Numerical-Symbolic Methods for Searching Relative Equilibria in the Restricted Problem of Four Bodies
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.
Exact Formulation of the Transverse Dynamic Spin Susceptibility as an Initial-Value Problem
Example of the Kachanov Method: Unequal Collinear Cracks.
Study on the Interaction of Collinear Cracks and Wing Cracks and Cracking Behavior of Rock under Uniaxial Compression
Kluge et al., "Fast, low-level detection of strontium-90 and strontium-89 in environmental samples by collinear resonance ionization spectroscopy," Spectrochrmrca Acra, vol.
Investigation of Optical Ionization of Strontium via 5[s.sup.2] [sup.1][S.sub.0] [right arrow] 5s5p [sup.3][P.sup.[omicron].sub.1] [right arrow] 5s5d [sup.3][D.sub.2] [right arrow] 4dnp (or 4ndf, n = 39) for Isotope Selectivity Enhancement
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.
Actuator-Assisted Calibration of Freehand 3D Ultrasound System
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.
Heuristic Localization Algorithm with a Novel Error Control Mechanism for Wireless Sensor Networks with Few Anchor Nodes
It contains [S.sup.c.sub.n](R)/O(1) as a submanifold (the collinear configurations).
Central configurations, Morse and fixed point indices
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.
The development of the theory of instantaneous power of three-phase network in terms of network centrism
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:
On the topology of arrangements of a cubic and its inflectional tangents
Caption: Figure 5: Two collinear cracks in an infinite elastic plate subjected to the remote uniform tension stress.
A New and Efficient Boundary Element-Free Method for 2-D Crack Problems
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.
SHARP RITZ VALUE ESTIMATES FOR RESTARTED KRYLOV SUBSPACE ITERATIONS
Detection is made using the probabilistic Hough transformation because it is an optimum method for recognizing collinear points in an image.
Voting-based OCR system

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