Advances in Classical and Applied Mathematics

Progress within mathematics is based on innovative ideas comprising a kind of cycle that starts from an identified need to develop a solution. First of all, this need is transformed in a problem that must be clearly defined in order to find a solution.In classical mathematics, a lot of computations...

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description Progress within mathematics is based on innovative ideas comprising a kind of cycle that starts from an identified need to develop a solution. First of all, this need is transformed in a problem that must be clearly defined in order to find a solution.In classical mathematics, a lot of computations are involved, and domains are used (including in algebra, geometry, classical logic, set theory, mathematical analyses, statistics, etc.). Applied mathematics focuses on mathematical principles and involves the application of mathematics to problems that arise in various areas, such as engineering or other domains of science or life. All these inform the development of new or improved methods, which allow us to obtain solutions for new problems.
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language eng
publishDate 2025
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publisher MDPI - Multidisciplinary Digital Publishing Institute
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spelling doab-20.500.12854ir-1653252025-08-12T09:21:14Z Advances in Classical and Applied Mathematics Flaut, Cristina Piciu, Dana Tosun, Murat monotonic dependence random variable total positivity binary relation filter ideal lattice neutrosophic set topology non-associative algebras first Tits construction Jordan algebras generalized cubic algebras fuzzy soft sets multi-fuzzy soft set ordered semigroups possibility multi-fuzzy soft ordered semigroups possibility multi-fuzzy soft left (resp. right) ideals k-potent elements algebras obtained by the Cayley–Dickson process quaternion Fibonacci elements inscribed equilateral triangle Euler line complex coordinates graph distance matrix distance eigenvalues interlacing few eigenvalues isogeometric analysis Reissner–Mindlin theory NURBS T-splines Bézier extraction linear elasticity Abaqus/computer-aided engineering MATLAB spatial quaternion quaternionic curve partner-ruled surface striction curves pitches and angle of pitches elliptic quaternion matrix optimal p-value eigen-pairs singular value decomposition pseudoinverse least squares solution join space hypergroup chain elliptic quaternion matrices MATLAB toolbox least minimum error image processing sweeping surface modified orthogonal frame Gaussian and mean curvature (modular) commutator (minimal) prime congruence (Stone, Zariski, flat) topology (ring) extension thema EDItEUR::U Computing and Information Technology::UY Computer science thema EDItEUR::P Mathematics and Science::PB Mathematics Progress within mathematics is based on innovative ideas comprising a kind of cycle that starts from an identified need to develop a solution. First of all, this need is transformed in a problem that must be clearly defined in order to find a solution.In classical mathematics, a lot of computations are involved, and domains are used (including in algebra, geometry, classical logic, set theory, mathematical analyses, statistics, etc.). Applied mathematics focuses on mathematical principles and involves the application of mathematics to problems that arise in various areas, such as engineering or other domains of science or life. All these inform the development of new or improved methods, which allow us to obtain solutions for new problems. 2025-08-12T09:21:12Z 2025-08-12T09:21:12Z 2025 book ONIX_20250812T110751_9783725835805_81 9783725835805 9783725835799 https://directory.doabooks.org/handle/20.500.12854/165325 eng image/jpeg Attribution 4.0 International https://mdpi.com/books https://mdpi.com/books/pdfview/book/10694 MDPI - Multidisciplinary Digital Publishing Institute 10.3390/books978-3-7258-3579-9 10.3390/books978-3-7258-3579-9 46cabcaa-dd94-4bfe-87b4-55023c1b36d0 9783725835805 9783725835799 258 open access
spellingShingle monotonic dependence
random variable
total positivity
binary relation
filter
ideal
lattice
neutrosophic set
topology
non-associative algebras
first Tits construction
Jordan algebras
generalized cubic algebras
fuzzy soft sets
multi-fuzzy soft set
ordered semigroups
possibility multi-fuzzy soft ordered semigroups
possibility multi-fuzzy soft left (resp. right) ideals
k-potent elements
algebras obtained by the Cayley–Dickson process
quaternion Fibonacci elements
inscribed equilateral triangle
Euler line
complex coordinates
graph
distance matrix
distance eigenvalues
interlacing
few eigenvalues
isogeometric analysis
Reissner–Mindlin theory
NURBS
T-splines
Bézier extraction
linear elasticity
Abaqus/computer-aided engineering
MATLAB
spatial quaternion
quaternionic curve
partner-ruled surface
striction curves
pitches and angle of pitches
elliptic quaternion matrix
optimal p-value
eigen-pairs
singular value decomposition
pseudoinverse
least squares solution
join space
hypergroup
chain
elliptic quaternion matrices
MATLAB toolbox
least minimum error
image processing
sweeping surface
modified orthogonal frame
Gaussian and mean curvature
(modular) commutator
(minimal) prime congruence
(Stone, Zariski, flat) topology
(ring) extension
thema EDItEUR::U Computing and Information Technology::UY Computer science
thema EDItEUR::P Mathematics and Science::PB Mathematics
Advances in Classical and Applied Mathematics
title Advances in Classical and Applied Mathematics
title_full Advances in Classical and Applied Mathematics
title_fullStr Advances in Classical and Applied Mathematics
title_full_unstemmed Advances in Classical and Applied Mathematics
title_short Advances in Classical and Applied Mathematics
title_sort advances in classical and applied mathematics
topic monotonic dependence
random variable
total positivity
binary relation
filter
ideal
lattice
neutrosophic set
topology
non-associative algebras
first Tits construction
Jordan algebras
generalized cubic algebras
fuzzy soft sets
multi-fuzzy soft set
ordered semigroups
possibility multi-fuzzy soft ordered semigroups
possibility multi-fuzzy soft left (resp. right) ideals
k-potent elements
algebras obtained by the Cayley–Dickson process
quaternion Fibonacci elements
inscribed equilateral triangle
Euler line
complex coordinates
graph
distance matrix
distance eigenvalues
interlacing
few eigenvalues
isogeometric analysis
Reissner–Mindlin theory
NURBS
T-splines
Bézier extraction
linear elasticity
Abaqus/computer-aided engineering
MATLAB
spatial quaternion
quaternionic curve
partner-ruled surface
striction curves
pitches and angle of pitches
elliptic quaternion matrix
optimal p-value
eigen-pairs
singular value decomposition
pseudoinverse
least squares solution
join space
hypergroup
chain
elliptic quaternion matrices
MATLAB toolbox
least minimum error
image processing
sweeping surface
modified orthogonal frame
Gaussian and mean curvature
(modular) commutator
(minimal) prime congruence
(Stone, Zariski, flat) topology
(ring) extension
thema EDItEUR::U Computing and Information Technology::UY Computer science
thema EDItEUR::P Mathematics and Science::PB Mathematics
topic_facet monotonic dependence
random variable
total positivity
binary relation
filter
ideal
lattice
neutrosophic set
topology
non-associative algebras
first Tits construction
Jordan algebras
generalized cubic algebras
fuzzy soft sets
multi-fuzzy soft set
ordered semigroups
possibility multi-fuzzy soft ordered semigroups
possibility multi-fuzzy soft left (resp. right) ideals
k-potent elements
algebras obtained by the Cayley–Dickson process
quaternion Fibonacci elements
inscribed equilateral triangle
Euler line
complex coordinates
graph
distance matrix
distance eigenvalues
interlacing
few eigenvalues
isogeometric analysis
Reissner–Mindlin theory
NURBS
T-splines
Bézier extraction
linear elasticity
Abaqus/computer-aided engineering
MATLAB
spatial quaternion
quaternionic curve
partner-ruled surface
striction curves
pitches and angle of pitches
elliptic quaternion matrix
optimal p-value
eigen-pairs
singular value decomposition
pseudoinverse
least squares solution
join space
hypergroup
chain
elliptic quaternion matrices
MATLAB toolbox
least minimum error
image processing
sweeping surface
modified orthogonal frame
Gaussian and mean curvature
(modular) commutator
(minimal) prime congruence
(Stone, Zariski, flat) topology
(ring) extension
thema EDItEUR::U Computing and Information Technology::UY Computer science
thema EDItEUR::P Mathematics and Science::PB Mathematics
url ONIX_20250812T110751_9783725835805_81