Generating Permutations in

Lexicographic Order. Ranjan Chaudhuri, Eastern Michigan University

(2) A package clustering algorithm is used to replace traditional

lexicographic order methods to reduce the block matching times, where each package is used to represent a cluster.

In particular, the method is based on the minimization of a properly defined global cost function (GCF) inspired by the

lexicographic order rules and named quantized lexicographic weighted sum (QLWS).

Sort them from small to large by

lexicographic order. The Cantor expansion and inverse Cantor expansion indicate that there is a one-to-one correspondence between the full permutation set of C and {1, 2, ..., n!}.

We adopt matrix-vector notation such that each [y.sub.k] and x are arranged as N x 1 and PN x 1 vectors in

lexicographic order, where the integer P > 1 is the factor of increase in resolution, and [square root of P] is the magnification factor.

Lexicographic order is a commonly used elimination order.

First, the gSpan constructs a new

lexicographic order among graphs and maps each graph to a unique minimum depth-first search (DFS) code as its canonical label.

There are several monomial orders but we need only the

lexicographic order [[??].sub.lex] in the elimination theory.

The security mechanism based on encryption/decryption algorithm needed to generate a key according to the random number (Prasad et al, 2014; Bharatesh and Rohith, 2014; Cui, 2013), and all the keys were arranged in

lexicographic order.

The grid locations of the unknown u automatically follow a

lexicographic order resulting from the tensor product formulation, which greatly simplifies the coding of the linear system (3.5).

For all n, define the partial order [[less than or equal to].sub.L], called the

lexicographic order, on the set of partitions of n, as follows.

The order relation is the

lexicographic order: (a, b) < (c, d) iff a < c or (a = c and b < d).