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This book includes a wide range of topics from basic foundations to advanced applications. Different chapters may be suitable for special groups. Part I is useful for the levels of researchers and graduate students. Conjugate complex vector operators, symmetry/anti-symmetry brackets, Lie-Dirac-conjugate algebra, conjugate combinatorial lattices are suitable for basic researchers on logic, probability, statistics, complex foundation, parallel synchronous time orders/modeling/analysis, complex analysis, complex geometric foundation, measures on mathematical foundation, combinatorial...