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Symmetry in Applied Mathematics
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Applied mathematics and symmetry work together as a powerful tool for problem reduction and solving. We are communicating applications in probability theory and statistics (A Test Detecting the Outliers for Continuous Distributions Based on the Cumulative Distribution Function of the Data Being Tested, The Asymmetric Alpha-Power Skew-t Distribution), fractals - geometry and alike (Khovanov Homology of Three-Strand Braid Links, Volume Preserving Maps Between p-Balls, Generation of Julia and Mandelbrot Sets via Fixed Points), supersymmetry - physics, nanostructures -chemistry, taxonomy - biology and alike (A Continuous Coordinate System for the Plane by Triangular Symmetry, One-Dimensional Optimal System for 2D Rotating Ideal Gas, Minimal Energy Configurations of Finite Molecular Arrays, Noether-Like Operators and First Integrals for Generalized Systems of Lane-Emden Equations), algorithms, programs and software analysis (Algorithm for Neutrosophic Soft Sets in Stochastic Multi-Criteria Group Decision Making Based on Prospect Theory, On a Reduced Cost Higher Order Traub-Steffensen-Like Method for Nonlinear Systems, On a Class of Optimal Fourth Order Multiple Root Solvers without Using Derivatives) to specific subjects (Facility Location Problem Approach for Distributed Drones, Parametric Jensen-Shannon Statistical Complexity and Its Applications on Full-Scale Compartment Fire Data). Diverse topics are thus combined to map out the mathematical core of practical problems.
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Keywords
- alpha-power skew-t distribution
- asymmetry
- barycentric coordinate system
- braid link
- compartment fire
- composite method
- computational efficiency
- confidence intervals
- conservation laws
- Constrained optimization
- coordinate system
- derivative-free method
- derivative-free methods
- drone deployment
- drone port
- equal volume projection
- equivariant bifurcation theory
- extreme values
- facility location problem
- fast algorithms
- Fisher information matrix
- fixed points
- Fractals
- full-scale fire experiment
- generalized Lane–Emden systems
- hexagonal grid
- hierarchical grid
- History of engineering & technology
- inconsistent information
- Invariants
- Iteration
- iterative function
- Jones polynomial
- Khovanov homology
- lie symmetries
- maximum likelihood estimation
- molecular arrays
- Monte-Carlo simulation
- multiple root
- neutrosophic soft sets
- Noether-like operator
- nonlinear equations
- optimal convergence
- optimal system
- order statistics
- parametric Jensen-Shannon statistical complexity
- permutation entropy
- power-t distribution
- prospect theory
- shallow water
- similarity solutions
- skew-t distribution
- stochastic multi-criteria group decision making
- symmetric duality
- systems
- Technology, engineering, agriculture
- Technology: general issues
- test for outliers
- Time Series Analysis
- Transformations
- traveling salesman
- tri-hexagonal grid
- triangular grid
- two length permutation entropy
Links
DOI: 10.3390/books978-3-03943-792-4Editions