Exploring Quaternion Neural Network Loss Surfaces Jeremiah BillBruce Cox OriginalPaper Open access 24 April 2024 Article: 19
Fractional Elliptic Operators with Multiple Poles on Riemannian Manifold with Clifford Bundle Rami Ahmad El-NabulsiWaranont Anukool OriginalPaper 23 April 2024 Article: 18
Multidimensional Generalized Fractional \({\pmb {S}}\) Transform Lakshmanan SubbiahRoopkumar Rajakumar OriginalPaper 17 April 2024 Article: 17
A Note on Cohomology of Clifford Algebras Bikram BanerjeeGoutam Mukherjee OriginalPaper 09 April 2024 Article: 16
Inequalities Pertaining to Quaternion Ambiguity Function Imanuel Agung SembeMawardi BahriMuhammad Zakir OriginalPaper 08 April 2024 Article: 15
Lipschitz Norm Estimate for a Higher Order Singular Integral Operator Tania Rosa Gómez SantiestebanRicardo Abreu BlayaJosé Luis Sánchez Santiesteban OriginalPaper 08 April 2024 Article: 14
Some Uncertainty Principles for the Right-Sided Multivariate Continuous Quaternion Wavelet Transform Manel Hleili OriginalPaper 08 April 2024 Article: 13
A Real Method for Solving Octonion Matrix Equation \(AXB=C\) Based on Semi-tensor Product of Matrices Xiaochen LiuYing LiRuyu Tao OriginalPaper 23 March 2024 Article: 12
Common Spectral Properties of Bounded Right Linear Operators AC and BA in the Quaternionic Setting Rachid ArziniAli Jaatit OriginalPaper 18 March 2024 Article: 11
Generalized Partial-Slice Monogenic Functions: A Synthesis of Two Function Theories Zhenghua XuIrene Sabadini OriginalPaper Open access 09 March 2024 Article: 10
Heron’s Formula in Higher Dimensions Timothy F. Havel OriginalPaper Open access 17 February 2024 Article: 9
On Optimal Inequalities for Anti-invariant Riemannian Submersions from Conformal Sasakian Space Forms Mehraj Ahmad LoneTowseef Ali Wani OriginalPaper 21 January 2024 Article: 8
Geometric Algebras of Light Cone Projective Graph Geometries Garret Sobczyk OriginalPaper 17 January 2024 Article: 7
Algorithms for Conic Fitting Through Given Proper and Improper Waypoints in Geometric Algebra for Conics Pavel LoučkaPetr Vašík OriginalPaper 09 January 2024 Article: 6
An Extension of Slice Regular Functions in Terms of Fiber Bundle Theory J. Oscar González-Cervantes OriginalPaper 08 January 2024 Article: 5
Concept of s-Numbers in Quaternionic Analysis and Schatten Classes João Costa OriginalPaper Open access 30 December 2023 Article: 4
New Versions of the Plemelj–Sochocki Formula in Clifford Analysis Yufeng WangZhongxiang Zhang OriginalPaper 26 December 2023 Article: 3
Fractional Powers of the Quaternionic d-Bar Derivative Arran FernandezCihan GüderWalaa Yasin OriginalPaper 28 November 2023 Article: 2
Geometric Algebra Speaks Quantum Esperanto Sebastian Xambó-Descamps OriginalPaper 11 November 2023 Article: 1
General Right-Sided Orthogonal 2D-Planes Split Quaternionic Wave-Packet Transform Hakim MonaimSaid Fahlaoui OriginalPaper 23 October 2023 Article: 58
The \(\mathcal {L_C}\)-Structure-Preserving Algorithms of Quaternion \(LDL^H\) Decomposition and Cholesky Decomposition Mingcui ZhangYing LiWenxv Ding OriginalPaper 16 October 2023 Article: 57
Dual Boas Type Results for the Quaternion Transform and Generalized Lipschitz Spaces Sergey Volosivets OriginalPaper 14 October 2023 Article: 56
Spinorial Representation of Submanifolds in a Product of Space Forms Alicia BasilioPierre BayardJulien Roth OriginalPaper Open access 11 October 2023 Article: 55
(Anti) de Sitter Geometry, Complex Conformal Gravity-Maxwell Theory from a Cl(4, C) Gauge Theory of Gravity and Grand Unification Carlos Castro Perelman OriginalPaper 18 September 2023 Article: 54
On the Representations of Clifford and SO(1,9) Algebras for 8-Component Dirac Equation V. M. SimulikI. I. Vyikon OriginalPaper 04 September 2023 Article: 53
Series Representation of Solutions of Polynomial Dirac Equations Doan Cong Dinh OriginalPaper 04 September 2023 Article: 52
Some Estimates for the Cauchy Transform in Higher Dimensions Longfei Gu OriginalPaper 28 August 2023 Article: 50
The Explicit Twisted Group Algebra Structure of the Cayley–Dickson Algebra Guangbin RenXin Zhao OriginalPaper 11 August 2023 Article: 49
The General Solution to a System of Linear Coupled Quaternion Matrix Equations with an Application Long-Sheng Liu OriginalPaper 09 August 2023 Article: 48
Repeated Cayley–Dickson Processes and Subalgebras of Dimension 8 Jacques Helmstetter OriginalPaper 09 August 2023 Article: 47
Bicomplex Weighted Bergman Spaces and Composition Operators Stanzin DolkarSanjay Kumar OriginalPaper 07 August 2023 Article: 46
On Some Quaternionic Series J. Oscar González CervantesJ. Emilio Paz CorderoDaniel González Campos OriginalPaper 31 July 2023 Article: 45
On Some Lie Groups in Degenerate Clifford Geometric Algebras Ekaterina FilimoshinaDmitry Shirokov OriginalPaper 18 July 2023 Article: 44
Various Characteristic Properties of Lipschitzian Elements in Clifford Algebras Jacques Helmstetter OriginalPaper 12 July 2023 Article: 43
A New Way to Construct the Riemann Curvature Tensor Using Geometric Algebra and Division Algebraic Structure Brian Jonathan Wolk OriginalPaper 22 June 2023 Article: 42
Mean Value Theorems for Bicomplex Harmonic Functions Abdelkader AbourichaAiad El GourariAllal Ghanmi OriginalPaper 21 June 2023 Article: 41
Quaternion Quantum Neural Network for Classification Guillermo Altamirano-EscobedoEduardo Bayro-Corrochano OriginalPaper 21 June 2023 Article: 40
Propagators Beyond The Standard Model Rodolfo José Bueno RogerioLuca Fabbri OriginalPaper 17 June 2023 Article: 39
Clifford Algebras, Quantum Neural Networks and Generalized Quantum Fourier Transform Marco A. S. TrindadeVinícius N. A. Lula-RochaS. Floquet OriginalPaper 13 June 2023 Article: 38
Beurling’s Theorem in the Clifford Algebras Othman TyrRadouan Daher OriginalPaper 03 June 2023 Article: 37
Functional Calculus for Dual Quaternions Stephen Montgomery-Smith OriginalPaper 24 May 2023 Article: 36
A Geometric Algebra Approach to Invariance Control in Sliding Regimes for Switched Systems H. Sira-RamírezB. C. Gómez-LeónM. A. Aguilar-Orduña OriginalPaper 19 May 2023 Article: 35
Right-Covariant Differential Calculus on Hopf Superalgebra \({{\mathbb {F}}}({\mathbb {C}}_q^{2|1})\) Salih Celik OriginalPaper 18 May 2023 Article: 34
Dynamical Systems of Operators Induced by Scaled Hypercomplex Rings Daniel AlpayIlwoo Cho OriginalPaper 17 May 2023 Article: 33
Left-Right Symmetric Fermions and Sterile Neutrinos from Complex Split Biquaternions and Bioctonions Vatsalya VaibhavTejinder P. Singh OriginalPaper 17 May 2023 Article: 32
Graded Symmetry Groups: Plane and Simple Martin RoelfsSteven De Keninck OriginalPaper 13 May 2023 Article: 30
On Multi-conditioned Conic Fitting in Geometric Algebra for Conics Pavel LoučkaPetr Vašík OriginalPaper 13 May 2023 Article: 31
Biquaternionic Treatment of Inhomogeneous Time-Harmonic Maxwell’s Equations Over Unbounded Domains Briceyda B. DelgadoVladislav V. Kravchenko OriginalPaper 10 May 2023 Article: 29
Least-Squares Solutions of Generalized Sylvester-Type Quaternion Matrix Equations Sinem Şimşek OriginalPaper 08 May 2023 Article: 28
