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Kaportseva  K. B.  Shugay  Yu. S. 《Cosmic Research》2021,59(6):537-537
Cosmic Research - An Erratum to this paper has been published: https://doi.org/10.1134/S0010952521120017  相似文献   

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Ivashkin  V. V. 《Cosmic Research》2021,59(6):538-538
Cosmic Research - An Erratum to this paper has been published: https://doi.org/10.1134/S0010952521120029  相似文献   

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Ugolnikov  O. S.  Maslov  I. A. 《Cosmic Research》2021,59(4):305-305
Cosmic Research - An Erratum to this paper has been published: https://doi.org/10.1134/S0010952521110010  相似文献   

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We have developed a qualitative calculus for three-dimensional directions and rotations. A direction is characterized in terms of the signs of its components relative to an absolute coordinate system. A rotation is characterized in terms of the signs of the components of the associated 3 × 3 rotation matrix.

A system has been implemented that can solve the following problems: 1. Given the signs of direction and rotation matrix P, find the possible signs of the image of under P. Moreover, for each possible sign vector of · P, generate numerical instantiations of and P that yields that result.

2. Given the signs of rotation matrices P and Q, find the possible signs of the composition P · Q. Moreover, for each possible sign matrix for the composition, generate numerical instantiations of P and Q that yield that result.

We have also proved some related complexity and expressivity results. The satisfiability problem for a qualitative rotation constraint network is NP-complete in two dimensions and NP-hard in three dimensions. In three dimensions, any two directions are distinguishable by a qualitative rotation constraint network.  相似文献   


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