Each gene in the chromosome represents a fixed length symbolic string which represents a mathematical function.
We simulated eroded sequences by generating 100 synthetic perfectly period-10 symbolic sequences of length N = 150 and then eroding these in increments of 1% to a maximum of 50% erosion.
However, they provide an ideal heuristic framework to isolate the interplay between symbol diversity and correlation length in symbolic sequences.
Closely associated with the problem of symbol definition, there always needs to be an efficient algorithm for defining the appropriate length of symbolic sequences.
For comparing time-series as represented by symbolic representations of varying lengths, we investigate the following two distance measures: Levenshtein distance measure (LD) [ 43]: Given a source string s and a target string t, the LD between the two strings is defined as the number of deletions, insertions, or substitutions required to transform s into t.
Three groups of sets of symbolic inequalities in link lengths, which can be used to identify the classes of the input joints of all five-bar mechanisms, are derived, applying geometric algebra formula and simple logic operations.
However, this method cannot be applied to our problem, since a data-driven PAA representation can map two time-series to symbolic representations of different lengths.
Turning to the hands and feet, I noticed they were disproportionate, but there are symbolic reasons for their exaggerated length and power.
Ibrahim talked at length about the symbolic, religious, and practical purposes of the hijab, the headscarf worn by many, but not all, Muslim women.
Their lengths are estimated using the formulas (here and lower |w| is the length of a symbolic sequence w, i.e. |P| is the length of sequence P which is a common ancestor for cores of compared sequences): L 1 = P ∙ r ∙ 1 - c ∕ 2 ; R 1 = P ∙ r ∙ 1 + c ∕ 2 ; L 2 = P ∙ r ∙ 1 + c ∕ 2 ; R 2 = P ∙ r ∙ 1 - c ∕ 2. Generation of cores is described in subsection 2.1.3.
