Symmetry in Applied Mathematics

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 Test...

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Format: Online
Language:English
Published: MDPI - Multidisciplinary Digital Publishing Institute 2021
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Online Access:ONIX_20210501_9783039437917_79
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description 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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institution Directory of Open Access Books
language eng
publishDate 2021
publishDateRange 2021
publishDateSort 2021
publisher MDPI - Multidisciplinary Digital Publishing Institute
publisherStr MDPI - Multidisciplinary Digital Publishing Institute
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spelling doab-20.500.12854ir-683352024-04-11T15:10:32Z Symmetry in Applied Mathematics Bolboacă, Sorana D. JÄNTSCHI, Lorentz Khovanov homology braid link Jones polynomial drone deployment drone port traveling salesman facility location problem molecular arrays constrained optimization equivariant bifurcation theory generalized Lane–Emden systems Noether-like operator conservation laws barycentric coordinate system coordinate system hexagonal grid triangular grid tri-hexagonal grid transformations test for outliers order statistics extreme values confidence intervals Monte-Carlo simulation nonlinear equations systems derivative-free methods fast algorithms computational efficiency neutrosophic soft sets inconsistent information prospect theory stochastic multi-criteria group decision making lie symmetries invariants shallow water similarity solutions optimal system equal volume projection hierarchical grid iterative function multiple root composite method derivative-free method optimal convergence full-scale fire experiment compartment fire permutation entropy two length permutation entropy time series analysis parametric Jensen-Shannon statistical complexity symmetric duality alpha-power skew-t distribution skew-t distribution power-t distribution asymmetry Fisher information matrix maximum likelihood estimation iteration fixed points fractals thema EDItEUR::T Technology, Engineering, Agriculture, Industrial processes::TB Technology: general issues::TBX History of engineering and technology 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. 2021-05-01T15:07:10Z 2021-05-01T15:07:10Z 2021 book ONIX_20210501_9783039437917_79 9783039437917 9783039437924 https://directory.doabooks.org/handle/20.500.12854/68335 eng application/octet-stream Attribution 4.0 International https://mdpi.com/books/pdfview/book/3345 https://mdpi.com/books/pdfview/book/3345 MDPI - Multidisciplinary Digital Publishing Institute 10.3390/books978-3-03943-792-4 10.3390/books978-3-03943-792-4 46cabcaa-dd94-4bfe-87b4-55023c1b36d0 9783039437917 9783039437924 244 Basel, Switzerland open access
spellingShingle Khovanov homology
braid link
Jones polynomial
drone deployment
drone port
traveling salesman
facility location problem
molecular arrays
constrained optimization
equivariant bifurcation theory
generalized Lane–Emden systems
Noether-like operator
conservation laws
barycentric coordinate system
coordinate system
hexagonal grid
triangular grid
tri-hexagonal grid
transformations
test for outliers
order statistics
extreme values
confidence intervals
Monte-Carlo simulation
nonlinear equations
systems
derivative-free methods
fast algorithms
computational efficiency
neutrosophic soft sets
inconsistent information
prospect theory
stochastic multi-criteria group decision making
lie symmetries
invariants
shallow water
similarity solutions
optimal system
equal volume projection
hierarchical grid
iterative function
multiple root
composite method
derivative-free method
optimal convergence
full-scale fire experiment
compartment fire
permutation entropy
two length permutation entropy
time series analysis
parametric Jensen-Shannon statistical complexity
symmetric duality
alpha-power skew-t distribution
skew-t distribution
power-t distribution
asymmetry
Fisher information matrix
maximum likelihood estimation
iteration
fixed points
fractals
thema EDItEUR::T Technology, Engineering, Agriculture, Industrial processes::TB Technology: general issues::TBX History of engineering and technology
Symmetry in Applied Mathematics
title Symmetry in Applied Mathematics
title_full Symmetry in Applied Mathematics
title_fullStr Symmetry in Applied Mathematics
title_full_unstemmed Symmetry in Applied Mathematics
title_short Symmetry in Applied Mathematics
title_sort symmetry in applied mathematics
topic Khovanov homology
braid link
Jones polynomial
drone deployment
drone port
traveling salesman
facility location problem
molecular arrays
constrained optimization
equivariant bifurcation theory
generalized Lane–Emden systems
Noether-like operator
conservation laws
barycentric coordinate system
coordinate system
hexagonal grid
triangular grid
tri-hexagonal grid
transformations
test for outliers
order statistics
extreme values
confidence intervals
Monte-Carlo simulation
nonlinear equations
systems
derivative-free methods
fast algorithms
computational efficiency
neutrosophic soft sets
inconsistent information
prospect theory
stochastic multi-criteria group decision making
lie symmetries
invariants
shallow water
similarity solutions
optimal system
equal volume projection
hierarchical grid
iterative function
multiple root
composite method
derivative-free method
optimal convergence
full-scale fire experiment
compartment fire
permutation entropy
two length permutation entropy
time series analysis
parametric Jensen-Shannon statistical complexity
symmetric duality
alpha-power skew-t distribution
skew-t distribution
power-t distribution
asymmetry
Fisher information matrix
maximum likelihood estimation
iteration
fixed points
fractals
thema EDItEUR::T Technology, Engineering, Agriculture, Industrial processes::TB Technology: general issues::TBX History of engineering and technology
topic_facet Khovanov homology
braid link
Jones polynomial
drone deployment
drone port
traveling salesman
facility location problem
molecular arrays
constrained optimization
equivariant bifurcation theory
generalized Lane–Emden systems
Noether-like operator
conservation laws
barycentric coordinate system
coordinate system
hexagonal grid
triangular grid
tri-hexagonal grid
transformations
test for outliers
order statistics
extreme values
confidence intervals
Monte-Carlo simulation
nonlinear equations
systems
derivative-free methods
fast algorithms
computational efficiency
neutrosophic soft sets
inconsistent information
prospect theory
stochastic multi-criteria group decision making
lie symmetries
invariants
shallow water
similarity solutions
optimal system
equal volume projection
hierarchical grid
iterative function
multiple root
composite method
derivative-free method
optimal convergence
full-scale fire experiment
compartment fire
permutation entropy
two length permutation entropy
time series analysis
parametric Jensen-Shannon statistical complexity
symmetric duality
alpha-power skew-t distribution
skew-t distribution
power-t distribution
asymmetry
Fisher information matrix
maximum likelihood estimation
iteration
fixed points
fractals
thema EDItEUR::T Technology, Engineering, Agriculture, Industrial processes::TB Technology: general issues::TBX History of engineering and technology
url ONIX_20210501_9783039437917_79