Sentence examples for spatial restricted from inspiring English sources

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Li et al. [1] used Jacobi's necessary conditions for the variational minimizers to study the existence of nonplanar periodic solutions for spatial restricted (N+1 -body problems with a zero mass moviN+1 -body vertical axis of the problemsr N equal masses.

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Probably, the highly clustered spatial distribution patterns and spatially restricted seed germination, most likely mediated by patchy distributions of suitable mycorrhizal fungi, contributed to maintenance of genetic integrity in this species.

Since the current implementation of DP is purely spatial, we restricted the comparison only to the spatial scan statistic.

In this paper, we study the spatial circular restricted 3-body and 4-body problems.

In [5], Mathlouthi studied the periodic solutions for the spatial circular restricted 3-body problems by minimax variational methods.

We consider the spatial circular restricted three-body problem, on the motion of an infinitesimal body under the gravity of Sun and Earth.

This paper investigates the application of Deterministic Crowding Genetic Algorithms to the characterization and design of special trajectories in the spatial circular restricted three-body problem with the Sun and the Earth as the primary gravitational bodies.

In this section, we consider the spatial circular restricted 4-body problem with a zero mass point moving on the vertical axis of the moving plane for three mass points with arbitrary positive masses (m_{1}), (m_{2}), (m_{3}) in a Lagrange configuration.

In this section, we consider the spatial circular restricted 3-body problem with a zero mass point moving on the vertical axis of the moving plane for two mass points with arbitrary given positive masses (m_{1}), (m_{2}) in a Euler configuration.

In this article, we study the spatial circular restricted 3-body and 4-body problems with a zero mass point moving on the perpendicular axis of the circular orbits plane for given masses (m_{1},ldots,m_{N}) ((N=2 mbox{ or } 3)) in their respective central configuration.

Our focus is on minimizing spatial blurring, restricting to temporal filtering when motion estimates are reliable, and spatially shrinking only insignificant coefficients when the motion is unreliable.

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