A Closed-Form Parametrization and an Alternative Computational Algorithm for Approximating Slices of Minkowski Sums of Ellipsoids in <inline-formula><math display="inline"><semantics><msup><mi mathvariant="double-struck">R</mi><mn>3</mn></msup></semantics></math></inline-formula>

A Closed-Form Parametrization and an Alternative Computational Algorithm for Approximating Slices of Minkowski Sums of Ellipsoids in <inline-formula><math display="inline"><semantics><msup><mi mathvariant="double-struck">R</mi><mn>3</mn></msup></semantics></math></inline-formula>

The current work aims to develop an approximation of the slice of a Minkowski sum of finite number of ellipsoids, sliced up by an arbitrarily oriented plane in Euclidean space <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semant...

Full description

Bibliographic Details
Main Author:	Amirreza Fahim Golestaneh
Format:	Article
Language:	English
Published:	MDPI AG 2022-12-01
Series:	Mathematics
Subjects:	slice of Minkowski sum ellipsoids closed-form parametrization approximation computational algorithm Kurzhanski’s bounds
Online Access:	https://www.mdpi.com/2227-7390/11/1/137

Similar Items

Differential Geometry of the Family of Helical Hypersurfaces with a Light-like Axis in Minkowski Spacetime <inline-formula><math display="inline"><semantics><msup><mi mathvariant="double-struck">L</mi><mn>4</mn></msup></semantics></math></inline-formula>
by: Erhan Güler
Published: (2023-07-01)

The Global Property of Generic Conformally Flat Hypersurfaces in <inline-formula><math display="inline"><semantics><msup><mi mathvariant="double-struck">R</mi><mn>4</mn></msup></semantics></math></inline-formula>
by: Yayun Chen, et al.
Published: (2023-03-01)

The Assymptotic Invariants of a Fermat-Type Set of Points in <inline-formula><math display="inline"><semantics><msup><mi mathvariant="double-struck">P</mi><mn mathvariant="bold">3</mn></msup></semantics></math></inline-formula>
by: Mikołaj Le Van, et al.
Published: (2024-12-01)

Decoding of <inline-formula><math display="inline"><semantics><msub><mi mathvariant="double-struck">Z</mi><msup><mn>2</mn><mi>S</mi></msup></msub></semantics></math></inline-formula> Linear Generalized Kerdock Codes
by: Aleksandar Minja, et al.
Published: (2024-01-01)

G-Fractional Diffusion on Bounded Domains in <inline-formula><math display="inline"><semantics><msup><mi mathvariant="double-struck">R</mi><mi>d</mi></msup></semantics></math></inline-formula>
by: Luca Angelani, et al.
Published: (2023-03-01)

Geometry of Solutions of the Quasi-Vortex Filament Equation in Euclidean 3-Space <inline-formula><math display="inline"><semantics><msup><mi mathvariant="double-struck">E</mi><mn>3</mn></msup></semantics></math></inline-formula>
by: Ebrahem Hamouda, et al.
Published: (2022-03-01)

On the Truncated Multidimensional Moment Problems in <inline-formula><math display="inline"><semantics><mrow><msup><mi mathvariant="double-struck">C</mi><mi>n</mi></msup></mrow></semantics></math></inline-formula>
by: Sergey Zagorodnyuk
Published: (2022-01-01)

Existence and Concentration Behavior of Solutions of the Critical Schrödinger–Poisson Equation in <inline-formula><math display="inline"><semantics><mrow><msup><mi mathvariant="double-struck">R</mi><mn>3</mn></msup></mrow></semantics></math></inline-formula>
by: Jichao Wang, et al.
Published: (2021-02-01)

Solutions for Several Quadratic Trinomial Difference Equations and Partial Differential Difference Equations in <inline-formula><math display="inline"><semantics><msup><mi mathvariant="double-struck">C</mi><mn>2</mn></msup></semantics></math></inline-formula>
by: Hong Li, et al.
Published: (2021-06-01)

Inextensible Flows of Null Cartan Curves in Minkowski Space <inline-formula><math display="inline"><semantics><mrow><msup><mi mathvariant="double-struck">R</mi><mrow><mn>2</mn><mo>,</mo><mn>1</mn></mrow></msup></mrow></semantics></math></inline-formula>
by: Samah Gaber, et al.
Published: (2023-02-01)

A Survey on the Minimal Number of Singular Fibers of a <inline-formula><math display="inline"><semantics><mrow><msup><mi mathvariant="double-struck">P</mi><mn mathvariant="bold">1</mn></msup></mrow></semantics></math></inline-formula>-Semistable Curve
by: Alexis G. Zamora
Published: (2024-11-01)

Maximal Function Characterizations of Hardy Spaces on <inline-formula><math display="inline"><semantics><msup><mi mathvariant="double-struck">R</mi><mi mathvariant="bold-italic">n</mi></msup></semantics></math></inline-formula> with Pointwise Variable Anisotropy
by: Aiting Wang, et al.
Published: (2021-12-01)

Describing Water Wave Propagation Using the <inline-formula><math display="inline"><semantics><mfrac><msup><mi mathvariant="bold-italic">G</mi><mo mathvariant="bold">′</mo></msup><msup><mi mathvariant="bold-italic">G</mi><mn mathvariant="bold">2</mn></msup></mfrac></semantics></math></inline-formula>–Expansion Method
by: Safoura Rezaei Aderyani, et al.
Published: (2022-12-01)

On (<i>i</i>)-Curves in Blowups of <named-content content-type="inline-formula"><inline-formula><math display="inline"><semantics><msup><mi mathvariant="double-struck">P</mi><mi mathvariant="bold-italic">r</mi></msup></semantics></math></inline-formula></named-content>
by: Olivia Dumitrescu, et al.
Published: (2024-12-01)

Classification of Complete Degenerate Stationary Surfaces in <inline-formula><math display="inline"><semantics><msup><mi mathvariant="double-struck">R</mi><mrow><mn>3</mn><mo>,</mo><mn>1</mn></mrow></msup></semantics></math></inline-formula> Whose Gauss Maps Are Injective
by: Li Ou, et al.
Published: (2022-10-01)

Closed Timelike Curves Induced by a Buchdahl-Inspired Vacuum Spacetime in <inline-formula><math display="inline"><semantics><msup><mi mathvariant="bold-script">R</mi><mn mathvariant="bold">2</mn></msup></semantics></math></inline-formula> Gravity
by: Hoang Ky Nguyen, et al.
Published: (2023-10-01)

The Fourth-Linear <inline-formula><math display="inline"><semantics><mrow><mstyle mathvariant="bold"><mi mathvariant="bold-fraktur">aff</mi><mo>(</mo><mn>1</mn><mo>)</mo></mstyle></mrow></semantics></math></inline-formula>-Invariant Differential Operators and the First Cohomology of the Lie Algebra of Vector Fields on <inline-formula><math display="inline"><semantics><mstyle mathvariant="bold"><msup><mi mathvariant="double-struck">RP</mi><mn>1</mn></msup></mstyle></semantics></math></inline-formula>
by: Areej A. Almoneef, et al.
Published: (2023-03-01)

A New Construction of <inline-formula><math display="inline"><semantics><mrow><msup><mn>4</mn><mi>q</mi></msup></mrow></semantics></math></inline-formula>-QAM Golay Complementary Sequences
by: Gang Peng, et al.
Published: (2022-09-01)

Toeplitz Operators on Fock Space over <inline-formula><math display="inline"><semantics><msup><mi mathvariant="double-struck">C</mi><mi mathvariant="bold-italic">n</mi></msup></semantics></math></inline-formula> with Invariant Symbols under the Action of the Unit Circle
by: Carlos González-Flores, et al.
Published: (2023-11-01)

Multiplicity Results of Solutions to Non-Local Magnetic Schrödinger–Kirchhoff Type Equations in <inline-formula><math display="inline"><semantics><mrow><msup><mi mathvariant="double-struck">R</mi><mi>N</mi></msup></mrow></semantics></math></inline-formula>
by: Kisoeb Park
Published: (2022-01-01)

Uniform Error Estimates of the Finite Element Method for the Navier–Stokes Equations in <inline-formula><math display="inline"><semantics><msup><mi mathvariant="double-struck">R</mi><mn>2</mn></msup></semantics></math></inline-formula> with <i>L</i><sup>2</sup> Initial Data
by: Shuyan Ren, et al.
Published: (2023-04-01)

Riemann–Hilbert Problems and Soliton Solutions of Type (<inline-formula><math display="inline"><semantics><mrow><msup><mi>λ</mi><mo>∗</mo></msup></mrow></semantics></math></inline-formula>, <inline-formula><math display="inline"><semantics><mrow><mo>−</mo><msup><mi>λ</mi><mo>∗</mo></msup></mrow></semantics></math></inline-formula>) Reduced Nonlocal Integrable mKdV Hierarchies
by: Wen-Xiu Ma
Published: (2022-03-01)

Integration of Differential Equations by <named-content content-type="inline"><inline-formula><math display="inline"><semantics><msup><mi mathvariant="bold-script">C</mi><mo mathvariant="bold">∞</mo></msup></semantics></math></inline-formula></named-content>-Structures
by: Antonio Jesús Pan-Collantes, et al.
Published: (2023-09-01)

Commutative Chain Rings with Index of Nilpotency 5 and Residue Field <inline-formula><math display="inline"><semantics><mrow><msub><mi mathvariant="double-struck">F</mi><msup><mi>p</mi><mi>m</mi></msup></msub></mrow></semantics></math></inline-formula>
by: Alhanouf Ali Alhomaidhi, et al.
Published: (2024-12-01)

On <inline-formula><math display="inline"><semantics><mi mathvariant="double-struck">T</mi></semantics></math></inline-formula>-Transformation of Probability Measures
by: Shokrya S. Alshqaq, et al.
Published: (2025-02-01)

Infinitely Many Small Energy Solutions to Schrödinger-Kirchhoff Type Problems Involving the Fractional <inline-formula><math display="inline"><semantics><mrow><mi>r</mi><mo>(</mo><mo>·</mo><mo>)</mo></mrow></semantics></math></inline-formula>-Laplacian in <inline-formula><math display="inline"><semantics><mrow><msup><mi mathvariant="double-struck">R</mi><mi>N</mi></msup></mrow></semantics></math></inline-formula>
by: Yun-Ho Kim
Published: (2023-02-01)

On the Extreme Value <inline-formula><math display="inline"><semantics><mi mathvariant="double-struck">H</mi></semantics></math></inline-formula>-Function
by: Pushpa Narayan Rathie, et al.
Published: (2023-08-01)

Curvature Pinching Problems for Compact Pseudo-Umbilical PMC Submanifolds in <inline-formula><math display="inline"><semantics><mrow><msup><mi mathvariant="double-struck">S</mi><mi>m</mi></msup><mo>(</mo><mi>c</mi><mo>)</mo><mo>×</mo><mi mathvariant="double-struck">R</mi></mrow></semantics></math></inline-formula>
by: Wang-Hua Qiu, et al.
Published: (2023-12-01)

Temperature-Induced Plasmon Excitations for the <inline-formula><math display="inline"><semantics><mi mathvariant="italic">α</mi></semantics></math></inline-formula>–<inline-formula><math display="inline"><semantics><msub><mi mathvariant="script">T</mi><mn>3</mn></msub></semantics></math></inline-formula> Lattice in Perpendicular Magnetic Field
by: Antonios Balassis, et al.
Published: (2021-06-01)

A Classification of Elements of Function Space <i>F</i>(<inline-formula><math display="inline"><semantics><mrow><mi mathvariant="double-struck">R</mi></mrow></semantics></math></inline-formula>,<inline-formula><math display="inline"><semantics><mrow><mi mathvariant="double-struck">R</mi></mrow></semantics></math></inline-formula>)
by: Mohsen Soltanifar
Published: (2023-08-01)

The Norm Function for Commutative <inline-formula><math display="inline"><semantics><msub><mi mathvariant="double-struck">Z</mi><mn>2</mn></msub></semantics></math></inline-formula>-Graded Rings
by: Azzh Saad Alshehry, et al.
Published: (2024-12-01)

Fixed Point Results via <inline-formula><math display="inline"><semantics><mi mathvariant="script">G</mi></semantics></math></inline-formula>-Transitive Binary Relation and Fuzzy <inline-formula><math display="inline"><semantics><mi mathvariant="script">L</mi></semantics></math></inline-formula>-<inline-formula><math display="inline"><semantics><mi mathvariant="script">R</mi></semantics></math></inline-formula>-Contraction
by: Abdelhamid Moussaoui, et al.
Published: (2023-04-01)

Is the Non-Pointness of the Electron Observable in <inline-formula><math display="inline"><semantics><mrow><msup><mi>e</mi><mo>+</mo></msup><msup><mi>e</mi><mo>−</mo></msup></mrow></semantics></math></inline-formula> Annihilation at Center-of-Mass Energies 55–207 GeV?
by: Yutao Chen, et al.
Published: (2023-07-01)

Asymptotic Behaviours for an Index Whittaker Transform over <inline-formula><math display="inline"><semantics><mrow><msup><mi mathvariant="script">E</mi><mo>′</mo></msup><mrow><mo>(</mo><msub><mi mathvariant="double-struck">R</mi><mo>+</mo></msub><mo>)</mo></mrow></mrow></semantics></math></inline-formula>
by: Emilio R. Negrín, et al.
Published: (2025-02-01)

Algebraic Structure Graphs over the Commutative Ring <inline-formula><math display="inline"><semantics><msub><mi mathvariant="double-struck">Z</mi><mi>m</mi></msub></semantics></math></inline-formula>: Exploring Topological Indices and Entropies Using <inline-formula><math display="inline"><semantics><mi mathvariant="double-struck">M</mi></semantics></math></inline-formula>-Polynomials
by: Amal S. Alali, et al.
Published: (2023-09-01)

Canonical Coordinates and Natural Equation for Lorentz Surfaces in <inline-formula><math display="inline"><semantics><msubsup><mi mathvariant="double-struck">R</mi><mn mathvariant="bold">1</mn><mn mathvariant="bold">3</mn></msubsup></semantics></math></inline-formula>
by: Krasimir Kanchev, et al.
Published: (2021-12-01)

Local Convergence of the Continuous and Semi-Discrete Wavelet Transform in <inline-formula><math display="inline"><mrow><msup><mi>L</mi><mi>p</mi></msup><mo>(</mo><mi mathvariant="double-struck">R</mi><mo>)</mo></mrow></math></inline-formula>
by: Jaime Navarro-Fuentes, et al.
Published: (2021-03-01)

On the Zero-Hopf Bifurcation of the Lotka–Volterra Systems in <inline-formula> <mml:math id="mm999" display="block"> <mml:semantics> <mml:msup> <mml:mi mathvariant="double-struck">R</mml:mi> <mml:mn>3</mml:mn> </mml:msup> </mml:semantics> </mml:math> </inline-formula>
by: Maoan Han, et al.
Published: (2020-07-01)

Neutrino Flavor Model Building and the Origins of Flavor and <inline-formula><math display="inline"><semantics><mi mathvariant="script">C</mi></semantics></math></inline-formula><inline-formula><math display="inline"><semantics><mi mathvariant="script">P</mi></semantics></math></inline-formula> Violation
by: Yahya Almumin, et al.
Published: (2023-12-01)

DNA Code Design Based on the Cosets of Codes over <inline-formula><math display="inline"><semantics><msub><mi mathvariant="double-struck">Z</mi><mn>4</mn></msub></semantics></math></inline-formula>
by: Adel N. Alahmadi, et al.
Published: (2023-11-01)