Order matrix

Constraints are given as resource utilization restrictions (e.g., shift regimes, workforce availability, energy, catalyzer). In addition relations between different dynamic data objects are defined (e.g., setup matrix, order network). Constraints can be considered as hard (must be satisfied) or soft (violations are visualized) in a given time interval with regard to calculation of derived dynamic data. 

If the number of rows and columns is the same, the matrix is called square. This number is called a matrix order. The totality of elements (o , a22,. . . anm) of the square matrix is its main diagonal. 

Karypis, G., Schloegel, K. Kumar, V. 1998. ParMETIS Parallel Graph Partitioning and Sparse Matrix Ordering Library. University of Minnesota. 

The perpendicular arrangement of the long axes of the 5CB molecules on the droplet walls resulted in a homeotropic alignment, which was visualized under POM as radial droplets. In addition, when the PDLC samples were heated to the upper isotropization temperature of the liquid crystal, the isotropic droplets remained surrounded by a birefringent shadow—the signature of a polymer matrix ordering... 

If the vibrational frequency can be assumed the degrees of freedom can be reduced by the pad assembly technique commonly used for tilting pad journal bearings. First, pad data are calculated for a fixed pad and then the pad are assembled to form a complete thrust bearing. The degrees freedom of each pad are eliminated in terms of the degrees of freedom of the runner. The stiffness and damping matrix order may be reduced to (3x3). 

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