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On SVD and Polar Decomposition in Real and Complexified Clifford Algebras

Advances in applied Clifford algebras, 2024-07, Vol.34 (3), Article 23

Shirokov, Dmitry

2024

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Basis-free Solution to Sylvester Equation in Clifford Algebra of Arbitrary Dimension

Advances in applied Clifford algebras, 2021-11, Vol.31 (5), Article 70

Shirokov, Dmitry

2021

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On Inner Automorphisms Preserving Fixed Subspaces of Clifford Algebras

Advances in applied Clifford algebras, 2021-07, Vol.31 (3), Article 30

Shirokov, Dmitry

2021

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Development of the Method of Averaging in Clifford Geometric Algebras

Mathematics (Basel), 2023-08, Vol.11 (16), p.3607

Shirokov, Dmitry

2023

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On Basis-Free Solution to Sylvester Equation in Geometric Algebra

Advances in Computer Graphics, 2020, Vol.12221, p.541-548

2020

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Calculation of Elements of Spin Groups Using Method of Averaging in Clifford’s Geometric Algebra

Advances in applied Clifford algebras, 2019-07, Vol.29 (3), p.1-12, Article 50

Shirokov, Dmitry

2019

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A Note on Centralizers and Twisted Centralizers in Clifford Algebras

Advances in applied Clifford algebras, 2024-11, Vol.34 (5), Article 50

2024

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Basis-Free Formulas for Characteristic Polynomial Coefficients in Geometric Algebras

Advances in applied Clifford algebras, 2022-11, Vol.32 (5), Article 57

2022

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On Some Lie Groups in Degenerate Clifford Geometric Algebras

Advances in applied Clifford algebras, 2023-09, Vol.33 (4), Article 44

2023

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Noncommutative Vieta theorem in Clifford geometric algebras

Mathematical methods in the applied sciences, 2024-09, Vol.47 (14), p.11305-11320

Shirokov, Dmitry

2024

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Jumpstart Snowflake: A Step-By-Step Guide to Modern Cloud Analytics

1st ed., 2019

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Classification of all constant solutions of SU(2) Yang–Mills equations with arbitrary current in pseudo-Euclidean space ℝp,q

Modern physics letters A, 2023-07, Vol.38 (20n21)

Shirokov, Dmitry

2023

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Autoimmune Effect of Antibodies against the SARS-CoV-2 Nucleoprotein

Viruses, 2022-05, Vol.14 (6), p.1141

2022

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A note on subspaces of fixed grades in Clifford algebras

AIP Conference Proceedings, 2021, Vol.2328 (1)

2021

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On generalization of Lipschitz groups and spin groups

Mathematical methods in the applied sciences, 2024-02, Vol.47 (3), p.1375-1400

2024

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Non-Thermal Plasma Pyrolysis of Fuel Oil in the Liquid Phase

Energies (Basel), 2023-05, Vol.16 (10), p.4017

2023

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On constant solutions of SU(2) Yang-Mills equations with arbitrary current in Euclidean space ℝn

Journal of nonlinear mathematical physics, 2020, Vol.27 (2), p.199-218

Shirokov, Dmitry

2020

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Covariantly Constant Solutions of the Yang–Mills Equations

Advances in applied Clifford algebras, 2018-07, Vol.28 (3), p.1-16, Article 53

Shirokov, Dmitry

2018

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On Singular Value Decomposition and Polar Decomposition in Geometric Algebras

Advances in Computer Graphics, 2024, Vol.14498, p.391-401

2024

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On constant solutions of SU(2) Yang-Mills equations with arbitrary current in Euclidean space ℝ n

Journal of nonlinear mathematical physics, 2020, Vol.27 (2), p.199

Shirokov, Dmitry

2020

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On Some Lie Groups Containing Spin Group in Clifford Algebra

Journal of geometry and symmetry in physics, 2016-01, Vol.42, p.73-94

Shirokov, Dmitry

2016

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Calculation of Elements of Spin Groups Using Generalized Pauli’s Theorem

Advances in applied Clifford algebras, 2015-03, Vol.25 (1), p.227-244

Shirokov, Dmitry

2015

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On Noncommutative Vieta Theorem in Geometric Algebras

Empowering Novel Geometric Algebra for Graphics and Engineering, 2023, Vol.13862, p.28-37

2023

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Optimization parameters of the spiral mixing chamber of the device for pre-sowing seed treatment with biological preparations

Computers and electronics in agriculture, 2020-06, Vol.173, p.105437, Article 105437

2020

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Preparation and functional evaluation of RGD-modified streptavidin targeting to integrin-expressing melanoma cells

Protein engineering, design and selection, 2013-02, Vol.26 (2), p.143-150

2013

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On SVD and Polar Decomposition in Real and Complexified Clifford Algebras

Basis-free Solution to Sylvester Equation in Clifford Algebra of Arbitrary Dimension

On Inner Automorphisms Preserving Fixed Subspaces of Clifford Algebras

Development of the Method of Averaging in Clifford Geometric Algebras

On Basis-Free Solution to Sylvester Equation in Geometric Algebra

Calculation of Elements of Spin Groups Using Method of Averaging in Clifford’s Geometric Algebra

A Note on Centralizers and Twisted Centralizers in Clifford Algebras

Basis-Free Formulas for Characteristic Polynomial Coefficients in Geometric Algebras

On Some Lie Groups in Degenerate Clifford Geometric Algebras

Noncommutative Vieta theorem in Clifford geometric algebras

Jumpstart Snowflake: A Step-By-Step Guide to Modern Cloud Analytics

Classification of all constant solutions of SU(2) Yang–Mills equations with arbitrary current in pseudo-Euclidean space ℝp,q

Autoimmune Effect of Antibodies against the SARS-CoV-2 Nucleoprotein

A note on subspaces of fixed grades in Clifford algebras

On generalization of Lipschitz groups and spin groups

Non-Thermal Plasma Pyrolysis of Fuel Oil in the Liquid Phase

On constant solutions of SU(2) Yang-Mills equations with arbitrary current in Euclidean space ℝn

Covariantly Constant Solutions of the Yang–Mills Equations

On Singular Value Decomposition and Polar Decomposition in Geometric Algebras

On constant solutions of SU(2) Yang-Mills equations with arbitrary current in Euclidean space ℝ n

On Some Lie Groups Containing Spin Group in Clifford Algebra

Calculation of Elements of Spin Groups Using Generalized Pauli’s Theorem

On Noncommutative Vieta Theorem in Geometric Algebras

Optimization parameters of the spiral mixing chamber of the device for pre-sowing seed treatment with biological preparations

Preparation and functional evaluation of RGD-modified streptavidin targeting to integrin-expressing melanoma cells

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