INTEGRITY BASES FOR VECTORS, THE CRYSTAL CLASSES,

Abstract

Irreducible integrity bases are determined for an arbitrary number of absolute vectors under the transformation groups describing 31 of the 32 crystal symmetries. The fundamental theorems in invariant theory which are used in generating the integrity bases are given. The triclinic, monoclinic, rhombic, tetragonal, hexagonal, and cubic systems are considered.

Document Details

Document Type
Technical Report
Publication Date
Jun 18, 1963
Accession Number
AD0618988

Entities

People

  • G. F. Smith
  • R. S. Rivlin

Organizations

  • Yale University

Tags

DTIC Thesaurus Topics

  • Behavior And Behavior Mechanisms
  • Behavioral Disciplines And Activities
  • Behavioral Sciences
  • Cooperation
  • Group Dynamics
  • Mechanics
  • Physics
  • Symmetry

Fields of Study

  • Mathematics

Readers

  • Graph Algorithms and Convex Optimization.
  • Materials Science and Engineering.
  • Positioning, Navigation, and Timing (PNT) Technology.