Ordered Factor Patterns in a word over an ordered alphabet aredefined. Also, Parikh StrictlyAscending FactorMatrix and Parikh StrictlyDescending Factor Matrix of a given word are introduced. The relation of these matrices with Ordered Factor Patterns is discussed. Moreover, the ParikhStrictly Ascending FactorMatrices and the Parikh Strictly Descending FactorMatricesfor finitewords of Rectangular Hilbert Space Filling Curve are determined.
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