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Symmetry and complexity are studied by a selection of outstanding papers ranging from pure Mathematics and Physics to Computer Science and Engineering applications. In this Special Issue, the authors give a short but intensive description of the many applications of the basic structure of symmetry and complexity in many fields. Some interesting results were given in the Hydrodynamic Analysis of 3-D Hydrofoil and Marine Propeller and in the SAT Problems. The Study on Hypergraph Representations of Complex Fuzzy Information shows the importance of methods based on symmetry and complexity. A deep study of Information Technology Services in Public Organizations has been given in this issue, together with some interesting papers dealing with Adaptive Block Truncation Coding Based on an Edge-Based Quantization, SIR Model in a Patchy Environment, and the Evolution of Conformity Dynamics in Complex Social Networks. Another interesting paper provides some new insights into the Novel Computational Technique for Impulsive Fractional Differential Equations. In this collection, An Intelligent Approach for Handling Complexity by Migrating from Conventional Databases to Big Data shows the importance of such topics related to complexity.

History of engineering & technology --- big data --- complexity --- NoSQL databases --- Oracle NoSQL --- data migration --- B-spline scheme --- dihedral hydrofoil --- hydrodynamics --- marine propeller --- propeller wake --- sweptback hydrofoil --- surface panel method --- fractional derivative --- Adomian method --- computational technique --- conformity --- evolutionary dynamics --- ring network --- small-world network --- scale-free network --- epidemic model --- irreducible matrix --- Metzler matrix --- disease transition and transmission matrices --- decentralized control --- disease-free and endemic equilibrium points --- Moore–Penrose pseudoinverse --- next generation matrix --- patchy environment --- vaccination controls --- numerical inverse Laplace transform --- orthonormalized Bernstein polynomials --- operational matrices --- fractional differential equations --- BTC --- edge-based quantization --- reversible data hiding --- histogram shifting technique --- directional hölder regularity --- anisotropic hölder regularity --- directional scaling function --- anisotropic scaling function --- directional multifractal formalism --- wavelet bases --- sierpinski cascade functions --- fractional brownian sheets --- nonlinear equations --- multiple roots --- higher order methods --- attraction basins --- service identification --- IT service --- IT services catalog --- IT services portfolio --- multiobjective --- symmetric duality --- second-order --- nondifferentiable --- fractional programming --- support function --- Gf-bonvexity/Gf-pseudobonvexity --- complex q-rung orthopair fuzzy set --- complex q-rung orthopair fuzzy graphs --- complex q-rung orthopair fuzzy hypergraphs --- transversals --- SAT problem --- membrane computing --- P system --- splitting rule --- big data --- complexity --- NoSQL databases --- Oracle NoSQL --- data migration --- B-spline scheme --- dihedral hydrofoil --- hydrodynamics --- marine propeller --- propeller wake --- sweptback hydrofoil --- surface panel method --- fractional derivative --- Adomian method --- computational technique --- conformity --- evolutionary dynamics --- ring network --- small-world network --- scale-free network --- epidemic model --- irreducible matrix --- Metzler matrix --- disease transition and transmission matrices --- decentralized control --- disease-free and endemic equilibrium points --- Moore–Penrose pseudoinverse --- next generation matrix --- patchy environment --- vaccination controls --- numerical inverse Laplace transform --- orthonormalized Bernstein polynomials --- operational matrices --- fractional differential equations --- BTC --- edge-based quantization --- reversible data hiding --- histogram shifting technique --- directional hölder regularity --- anisotropic hölder regularity --- directional scaling function --- anisotropic scaling function --- directional multifractal formalism --- wavelet bases --- sierpinski cascade functions --- fractional brownian sheets --- nonlinear equations --- multiple roots --- higher order methods --- attraction basins --- service identification --- IT service --- IT services catalog --- IT services portfolio --- multiobjective --- symmetric duality --- second-order --- nondifferentiable --- fractional programming --- support function --- Gf-bonvexity/Gf-pseudobonvexity --- complex q-rung orthopair fuzzy set --- complex q-rung orthopair fuzzy graphs --- complex q-rung orthopair fuzzy hypergraphs --- transversals --- SAT problem --- membrane computing --- P system --- splitting rule

Choose an application

• Reference Manager
• EndNote
• RefWorks (Direct export to RefWorks)

Symmetry and complexity are studied by a selection of outstanding papers ranging from pure Mathematics and Physics to Computer Science and Engineering applications. In this Special Issue, the authors give a short but intensive description of the many applications of the basic structure of symmetry and complexity in many fields. Some interesting results were given in the Hydrodynamic Analysis of 3-D Hydrofoil and Marine Propeller and in the SAT Problems. The Study on Hypergraph Representations of Complex Fuzzy Information shows the importance of methods based on symmetry and complexity. A deep study of Information Technology Services in Public Organizations has been given in this issue, together with some interesting papers dealing with Adaptive Block Truncation Coding Based on an Edge-Based Quantization, SIR Model in a Patchy Environment, and the Evolution of Conformity Dynamics in Complex Social Networks. Another interesting paper provides some new insights into the Novel Computational Technique for Impulsive Fractional Differential Equations. In this collection, An Intelligent Approach for Handling Complexity by Migrating from Conventional Databases to Big Data shows the importance of such topics related to complexity.

big data --- complexity --- NoSQL databases --- Oracle NoSQL --- data migration --- B-spline scheme --- dihedral hydrofoil --- hydrodynamics --- marine propeller --- propeller wake --- sweptback hydrofoil --- surface panel method --- fractional derivative --- Adomian method --- computational technique --- conformity --- evolutionary dynamics --- ring network --- small-world network --- scale-free network --- epidemic model --- irreducible matrix --- Metzler matrix --- disease transition and transmission matrices --- decentralized control --- disease-free and endemic equilibrium points --- Moore–Penrose pseudoinverse --- next generation matrix --- patchy environment --- vaccination controls --- numerical inverse Laplace transform --- orthonormalized Bernstein polynomials --- operational matrices --- fractional differential equations --- BTC --- edge-based quantization --- reversible data hiding --- histogram shifting technique --- directional hölder regularity --- anisotropic hölder regularity --- directional scaling function --- anisotropic scaling function --- directional multifractal formalism --- wavelet bases --- sierpinski cascade functions --- fractional brownian sheets --- nonlinear equations --- multiple roots --- higher order methods --- attraction basins --- service identification --- IT service --- IT services catalog --- IT services portfolio --- multiobjective --- symmetric duality --- second-order --- nondifferentiable --- fractional programming --- support function --- Gf-bonvexity/Gf-pseudobonvexity --- complex q-rung orthopair fuzzy set --- complex q-rung orthopair fuzzy graphs --- complex q-rung orthopair fuzzy hypergraphs --- transversals --- SAT problem --- membrane computing --- P system --- splitting rule