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Advances in applied Clifford algebras

SCI

中文名称：应用克利福德代数的进步

ISSN：0188-7009
出版周期：Quarterly

发文量：560

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1.Double Conformal Geometric Algebra

机译：双保形几何代数
- 作者：Easter Robert Benjamin;Hitzer Eckhard
- 期刊名称：《Advances in applied Clifford algebras》 | 2017年第3期
- Conformal geometric algebra;
- Darboux Dupin cyclide;
- Quadric surface;
2.General Steerable Two-sided Clifford Fourier Transform, Convolution and Mustard Convolution

机译：一般可操纵双面夹子傅里叶变换，卷积和芥末卷积
- 作者：Hitzer Eckhard
- 期刊名称：《Advances in applied Clifford algebras》 | 2017年第3期
- Convolution;
- Mustard convolution;
- two-sided Clifford Fourier transform;
- Clifford algebra signals;
- spatial domain;
- frequency domain;
3.Centrohermitian and Skew-Centrohermitian Solutions to the Minimum Residual and Matrix Nearness Problems of the Quaternion Matrix Equation (AXB, DXE) = (C, F)

机译：以Quations矩阵方程（AXB，DXE）=（C，F）的最小残差和矩阵近问题
- 作者：Simsek S.;Sarduvan M.;Ozdemir H.
- 期刊名称：《Advances in applied Clifford algebras》 | 2017年第3期
4.Binocular Computer Vision Based on Conformal Geometric Algebra

机译：基于保形几何代数的双目计算机视觉
- 作者：Hrdina Jaroslav;Navrat Ales
- 期刊名称：《Advances in applied Clifford algebras》 | 2017年第3期
- Conformal geometric algebra;
- Clifford algebra;
- Binocular vision;
- Projective geometry;
5.Quaternionic Wiener Algebras, Factorization and Applications

机译：四分之一的维纳代数，分解和应用
- 作者：Shelah Yonatan
- 期刊名称：《Advances in applied Clifford algebras》 | 2017年第3期
6.Rotations on a Lightcone in Minkowski 3-Space

机译：在Minkowski 3空间的LightCone上的旋转
- 作者：Simsek Hakan;Ozdemir Mustafa
- 期刊名称：《Advances in applied Clifford algebras》 | 2017年第3期
- g-Rotation matrix;
- Hyperbolic split quaternion;
- Null axis;
7.Transgression Field Theory at the Interface of Topological Insulators

机译：拓扑绝缘子界面的违规场理论
- 作者：Acik Ozgur;Ertem Umit
- 期刊名称：《Advances in applied Clifford algebras》 | 2017年第3期
- Topological insulators;
- Chern-Simons theory;
- BF theory;
- Transgression field theory;
8.The Theory of Local Mass Dimension One Fermions of Spin One Half

机译：局部质量维度理论一个旋转颗粒的一半
- 作者：Ahluwalia Dharam Vir
- 期刊名称：《Advances in applied Clifford algebras》 | 2017年第3期
- Elko;
- Dark matter;
- Clifford algebras;
- Mass dimension one fermions;
- Charge conjugation;
9.Object Detection in Point Clouds Using Conformal Geometric Algebra

机译：使用保形几何代数点云的对象检测
- 作者：Sveier Aksel;Kleppe Adam Leon;Tingelstad Lars;Egeland Olav
- 期刊名称：《Advances in applied Clifford algebras》 | 2017年第3期
10.A Hierarchical Representation and Computation Scheme of Arbitrary-dimensional Geometrical Primitives Based on CGA

机译：基于CGA的任意维几何基元的分层表示和计算方案
- 作者：Luo Wen;Hu Yong;Yu Zhaoyuan;Yuan Linwang;Lu Guonian
- 期刊名称：《Advances in applied Clifford algebras》 | 2017年第3期
- Data structure;
- Geometric algebra;
- Geometric computing;
- Topological relations;
- Triangle intersection;
11.Some Ultraspheroidal Monogenic Clifford Gegenbauer Jacobi Polynomials and Associated Wavelets

机译：一些ultrachheroid单体夹克利福德Gegenbauer雅各比多项式和相关小波
- 作者：Arfaoui Sabrine;Ben Mabrouk Anouar
- 期刊名称：《Advances in applied Clifford algebras》 | 2017年第3期
12.A New Polar Representation for Split and Dual Split Quaternions

机译：用于分割和双分裂四分之二的新极地表示
- 作者：Atasoy Ali;Ata Erhan;Yayli Yusuf;Kemer Yasemin
- 期刊名称：《Advances in applied Clifford algebras》 | 2017年第3期
- Dual split quaternion;
- Polar form;
- Split quaternion;
- Screw operator;
13.Graded Clifford Algebras and Graded Skew Clifford Algebras and Their Role in the Classification of Artin-Schelter Regular Algebras

机译：分级克利福德代数和分级歪斜克利福德代数及其在Artin-Scheptor常规代数分类中的作用
- 作者：Veerapen Padmini
- 期刊名称：《Advances in applied Clifford algebras》 | 2017年第3期
- Clifford algebra;
- Quadratic form;
- Point module;
14.A Note on Evolution of Curves in the Minkowski Spaces

机译：关于Minkowski空间中曲线演变的备注
- 作者：Yildiz Onder Gokmen;Tosun Murat
- 期刊名称：《Advances in applied Clifford algebras》 | 2017年第3期
- Evolution of curves;
- Curve flows;
- Minkowski Space;
15.Bicomplex Harmonic and Isotonic Oscillators: The Excited States

机译：Bicomplex谐波和等渗振荡器：激发态
- 作者：Banerjee Abhijit
- 期刊名称：《Advances in applied Clifford algebras》 | 2017年第3期
- Schrodinger equation;
- Bicomplex self adjoint hamiltonians;
- Excited states;
16.Einstein Metrics Induced by Natural Riemann Extensions

机译：由天然riemann扩展引起的爱因斯坦指标
- 作者：Bejan Cornelia-Livia;Meric Semsi Eken;Kilic Erol
- 期刊名称：《Advances in applied Clifford algebras》 | 2017年第3期
- Clifford algebra;
- Cotangent Bundle;
- Einstein manifold;
- Natural Riemann Extension;
17.Constructing Voronoi Diagrams from Hollow Spheres Using Conformal Geometric Algebra

机译：使用保形几何代数构建空心球的Voronoi图
- 作者：Romero Netz;Barron-Fernandez Ricardo;Godoy-Calderon Salvador
- 期刊名称：《Advances in applied Clifford algebras》 | 2017年第3期
- Voronoi diagram;
- Conformal geometric algebra;
- Hollow sphere;
- Geometric elements;
18.The Non-metricity Formulation of General Relativity

机译：一般相对性的非公资配方
- 作者：Mol Igor
- 期刊名称：《Advances in applied Clifford algebras》 | 2017年第3期
19.The Integration of Angular Velocity

机译：角速度的整合
- 作者：Boyle Michael
- 期刊名称：《Advances in applied Clifford algebras》 | 2017年第3期
20.On the representation dimension of smash products

机译：关于粉碎产品的代表尺寸
- 作者：Zheng Lijing;Huang Chonghui;Wan Qianhong
- 期刊名称：《Advances in applied Clifford algebras》 | 2017年第3期
- Stable module category;
- Oppermann dimension;
- Smash product;
- Representation dimension;
21.Practical Geometric Modeling Using Geometric Algebra Motors

机译：使用几何代数电机的实用几何建模
- 作者：Lopez Belon Mauricio Cele;Hildenbrand Dietmar
- 期刊名称：《Advances in applied Clifford algebras》 | 2017年第3期
- Conformal geometric algebra;
- Mesh deformation;
- Motor interpolation;
- Geometric modeling;
- Conformal mapping;
22.Some Matrix Representations of Fibonacci Quaternions and Octonions (vol 27, pg 1233, 2017)

机译：Fibonacci四分之一和octonions的一些矩阵表示（Vol 27，PG 1233,2017）
- 作者：Halici Serpil;Karatas Adnan
- 期刊名称：《Advances in applied Clifford algebras》 | 2017年第3期
23.Motor Estimation using Heterogeneous Sets of Objects in Conformal Geometric Algebra

机译：使用异构几何代数中的异构对象的电机估计
- 作者：Tingelstad Lars;Egeland Olav
- 期刊名称：《Advances in applied Clifford algebras》 | 2017年第3期
- Rigid body motion estimation;
- Geometric algebra;
- Automatic differentiation;
- Optimization;
24.Higher-Dimensional Representations of SL2 and its Real Forms Via Plucker Embedding

机译：SL2的高尺寸表示及其真实形式通过Plucker嵌入
- 作者：Brezov Danail S.
- 期刊名称：《Advances in applied Clifford algebras》 | 2017年第3期
- Geometric algebras;
- Algebraic geometry;
- Spin groups;
- Plucker embedding;
- Twistor correspondences;
- Generalized Euler decompositions;
25.Generalizations of Schwarzschild and (Anti) de Sitter Metrics in Clifford Spaces

机译：克利福德空间的施瓦茨谢尔德和（反）De Satter指标的概括
- 作者：Castro Carlos
- 期刊名称：《Advances in applied Clifford algebras》 | 2017年第3期
- Extended relativity in Clifford spaces;
- Gravity;
- Strings;
- Area metrics;
- Kawaguchi-Finsler geometry.;
26.Differential Calculi on Z(3)- Graded Grassmann Plane

机译：Z（3）差分计算 - 等级的Grassmann飞机
- 作者：Celik Salih;Celik Sultan A.
- 期刊名称：《Advances in applied Clifford algebras》 | 2017年第3期
- Z(3)-graded Grassmann algebra;
- Differential calculus;
- Grassmann-Heisenberg algebra.;
27.A Conformal Geometric Algebra Code Generator Comparison for Virtual Character Simulation in Mixed Reality

机译：混合现实中虚拟字符仿真的共形几何代数代码生成器比较
- 作者：Papaefthymiou Margarita;Hildenbrand Dietmar;Papagiannakis George
- 期刊名称：《Advances in applied Clifford algebras》 | 2017年第3期
- Geometric algebra;
- conformal model;
- augmented Reality;
- animation blending;
- animation;
28.Uncertainty Principles for the Clifford-Fourier Transform

机译：克利福德傅里叶变换的不确定性原则
- 作者：El Kamel Jamel;Jday Rim
- 期刊名称：《Advances in applied Clifford algebras》 | 2017年第3期
- Clifford analysis;
- Clifford-Fourier transform;
- Hardy's theorem;
- Miyachi's theorem.;
29.Quaternionic Aharonov-Bohm Effect

机译：四元氧ionAharonov-Bohm效果
- 作者：Giardino Sergio
- 期刊名称：《Advances in applied Clifford algebras》 | 2017年第3期
30.The Dirac-Hestenes Equation and its Relation with the Relativistic de Broglie-Bohm Theory

机译：Dirac-HeStenes方程及其与相对论De Broglie-Bohm理论的关系
- 作者：Moya Antonio M.;Rodrigues Waldyr Alves Jr.;Wainer Samuel A.
- 期刊名称：《Advances in applied Clifford algebras》 | 2017年第3期
- Clifford Bundle;
- Dirac-Hestenes Equation;
- De Broglie-Bohm Theory;
- Hamilton-Jacobi equation;
31.Efficient Implementation of Inverse Kinematics on a 6-DOF Industrial Robot using Conformal Geometric Algebra

机译：使用保形几何代数在6 DOF工业机器人上有效地实现逆运动学
- 作者：Tordal Sondre Sanden;Hovland Geir;Tyapin Ilya
- 期刊名称：《Advances in applied Clifford algebras》 | 2017年第3期
- Inverse kinematics;
- Industrial robotics;
- Conformal geometric algebra;
- Motion compensation;
32.Niven's Algorithm Applied to the Roots of the Companion Polynomial Over R-4 Algebras

机译：Niven的算法应用于R-4代数的伴随多项式的根源
- 作者：Opfer Gerhard
- 期刊名称：《Advances in applied Clifford algebras》 | 2017年第3期
- Zeros of polynomials over noncommutative R-4 algebras;
- Isolated;
- Spherical;
- Hyperbolic;
- Unexpected zeros;
33.Four-Dimensional Conformal Field Theory using Quaternions

机译：四维保形场理论使用季弧
- 作者：Giardino Sergio
- 期刊名称：《Advances in applied Clifford algebras》 | 2017年第3期
34.The Solution of a Generalized Sylvester Quaternion Matrix Equation and Its Application

机译：通用Sylvester Quaternion矩阵方程的解决方案及其应用
- 作者：Song Guang-Jing;Yu Shaowen
- 期刊名称：《Advances in applied Clifford algebras》 | 2017年第3期
- Moore-Penrose inverse;
- Generalized Sylvester matrix equation;
- eta-Hermitian matrix;
35.Riemann-Hilbert Problems for Monogenic Functions on Upper Half Ball of R-4

机译：RIEMANN-HILBERT在R-4上半球球上的单身函数问题
- 作者：Ku Min;Wang Ying;He Fuli;Kahler Uwe
- 期刊名称：《Advances in applied Clifford algebras》 | 2017年第3期
- Riemann-Hilbert problems;
- Generalized Cauchy-Riemann;
- equation Quaternion analysis;
36.Analytical Mobility Analysis of Bennett Linkage Using Geometric Algebra

机译：使用几何代数的Bennett联动分析迁移率分析
- 作者：Chai Xinxue;Li Qinchuan
- 期刊名称：《Advances in applied Clifford algebras》 | 2017年第3期
- Mobility;
- Analytical;
- Bennett linkage;
- Geometric algebra;
- Meet operator;
37.Pseudo-bundles of Exterior Algebras as Diffeological Clifford Modules

机译：伪捆绑的外部代数作为Diffeology Clifford模块
- 作者：Pervova Ekaterina
- 期刊名称：《Advances in applied Clifford algebras》 | 2017年第3期
38.Modeling 3D Geometry in the Clifford Algebra R(4,4)

机译：在Clifford代数R（4,4）中建模3D几何
- 作者：Du Juan;Goldman Ron;Mann Stephen
- 期刊名称：《Advances in applied Clifford algebras》 | 2017年第4期
- Mother algebra;
- Affine geometry;
- Computer graphics;
39.On an Intrinsically Local Gauge Symmetric SU(3) Field Theory for Quantum Chromodynamics

机译：关于量子型仪表对称苏（3）量子色能的场理论
- 作者：Wolk Brian Jonathan
- 期刊名称：《Advances in applied Clifford algebras》 | 2017年第4期
40.Free Fermions on a Piecewise Linear Four-Manifold. II: Pachner Moves

机译：分段线性四歧管上的免费离费米米。 II：Pachner移动
- 作者：Korepanov I. G.
- 期刊名称：《Advances in applied Clifford algebras》 | 2017年第4期
- Piecewise linear manifolds;
- Four-manifolds;
- Topological quantum field theory;
- Fermions;
41.A New 1/2-Ricci Type Formula on the Spinor Bundle and Applications

机译：旋转束和应用上的新1/2-RICCI型式配方
- 作者：Chrysikos Ioannis
- 期刊名称：《Advances in applied Clifford algebras》 | 2017年第4期
42.General Dynamics of Spinors

机译：旋转丝的一般动态
- 作者：Fabbri Luca
- 期刊名称：《Advances in applied Clifford algebras》 | 2017年第4期
- Torsion-gravity;
- Electrodynamics;
- Spinors;
- Zitterbewegung;
43.On k-Analytic Functions of an Octonionic Variable

机译：关于八氧化硫变量的K-分析函数
- 作者：Liao Jianquan;Li Xingmin
- 期刊名称：《Advances in applied Clifford algebras》 | 2017年第4期
- k-Analytic functions;
- Stein-Weiss conjugate polyharmonic systems;
- Cauchy integral formulas;
- Taylor series;
- Laurent series;
44.Investigation of Dual-Complex Fibonacci, Dual-Complex Lucas Numbers and Their Properties

机译：对双重复杂纤维，双重复杂卢卡斯数及其性质的调查
- 作者：Gungor Mehmet Ali;Azak Ayse Zeynep
- 期刊名称：《Advances in applied Clifford algebras》 | 2017年第4期
- Dual-complex numbers;
- Dual-complex Fibonacci numbers;
- Dual-complex Lucas numbers;
45.General Solution of the Inhomogeneous Div-Curl System and Consequences

机译：非均匀卷曲系统的一般解决方法和后果
- 作者：Delgado Briceyda B.;Michael Porter R.
- 期刊名称：《Advances in applied Clifford algebras》 | 2017年第4期
46.On Weak Solutions to Dirac-Harmonic Equations for Differential Forms

机译：差异形式狄拉科谐波方程的弱解
- 作者：Lu Yueming
- 期刊名称：《Advances in applied Clifford algebras》 | 2017年第4期
- Dirac-harmonic equations;
- Existence;
- Higher integrability;
47.3-ary Hom-Lie Superalgebras Induced By Hom-Lie Superalgebras

机译：由HOM-LIE Superalgebras引起的3- ary HOM-LIE Superalgebras
- 作者：Guan Baoling;Chen Liangyun;Sun Bing
- 期刊名称：《Advances in applied Clifford algebras》 | 2017年第4期
- Hom-Lie superalgebras;
- 3-ary Hom-Lie superalgebras;
- Solvable;
- Central extension;
- Cohomology;
48.Uncertainty Principle and Phase-Amplitude Analysis of Signals on the Unit Sphere

机译：单位球体上信号的不确定性原理和相位幅度分析
- 作者：Dang Pei;Qian Tao;Chen Qiuhui
- 期刊名称：《Advances in applied Clifford algebras》 | 2017年第4期
- Uncertainty principle;
- Phase derivative;
- Spherical signals;
- Spherical Hilbert transform;
- Spherical Dirac operator;
49.sigma-PBW Extensions of Skew Armendariz Rings

机译：Sigma-PBW歪斜armendariz戒指的延伸
- 作者：Reyes Armando;Suarez Hector
- 期刊名称：《Advances in applied Clifford algebras》 | 2017年第4期
- Armendariz;
- Baer;
- Quasi-Baer;
- p.p. and p.q.-Baer rings;
- Skew Poincare-Birkhoff-Witt extensions;
50.On Hermitian Solutions of the Split Quaternion Matrix Equation AXB plus CXD = E

机译：在分离四元数矩阵方程AXB Plus CXD = e的封闭矩阵解
- 作者：Yuan Shi-Fang;Wang Qing-Wen;Yu Yi-Bin;Tian Yong
- 期刊名称：《Advances in applied Clifford algebras》 | 2017年第4期
- Matrix equation;
- Kronecker product;
- Split quaternion matrix;
51.A Constraint System of Generalized Sylvester Quaternion Matrix Equations

机译：广义Sylvester Quaternion矩阵方程的约束系统
- 作者：Rehman Abdur;Wang Qing-Wen;Ali Ilyas;Akram Muhammad;Ahmad M. O.
- 期刊名称：《Advances in applied Clifford algebras》 | 2017年第4期
- Quaternion;
- Generalized Sylvester matrix equation;
- Exclusive solution;
- Moore-Penrose inverse;
- Rank;
52.Quaternionic Shape Operator

机译：四元形状运算符
- 作者：Aslan Selahattin;Yayli Yusuf
- 期刊名称：《Advances in applied Clifford algebras》 | 2017年第4期
- Surfaces;
- Shape operator;
- Darboux frame;
- Quaternions;
- Rotation matrices;
- Homothetic motions;
53.Poincare-Bertrand and Hilbert formulas for the Cauchy-Cimmino singular integrals

机译：Poincare-Bertrand和希尔伯特公式为Cauchy-Cimmino奇异积分
- 作者：Bory Reyes Juan;Abreu Blaya Ricardo;Antonio Perez-de la Rosa Marco;Schneider Baruch
- 期刊名称：《Advances in applied Clifford algebras》 | 2017年第4期
- Quaternionic analysis;
- Cimmino system;
- Poincare-Bertrand formula;
- Hilbert formulas;
54.Novel Sampling Formulas Associated with Quaternionic Prolate Spheroidal Wave functions

机译：与四元型环形球波函数相关的新型采样公式
- 作者：Cheng Dong;Kou Kit Ian
- 期刊名称：《Advances in applied Clifford algebras》 | 2017年第4期
55.Elementary Functions and Factorizations of Zeons

机译：Zeons的基本功能与辅助
- 作者：Staples G. Stacey;Weygandt Alexander
- 期刊名称：《Advances in applied Clifford algebras》 | 2018年第1期
- Zeons;
- Clifford algebras;
- Algorithms;
- Division;
- Decomposition;
- Elementary functions;
56.Kinematic Optimal Design of a 2-DoF Parallel Positioning Mechanism Employing Geometric Algebra

机译：一种采用几何代数的2-DOF并联定位机构的运动学优化设计
- 作者：Huo Xinming;Wang Panfeng;Li Wanzhen
- 期刊名称：《Advances in applied Clifford algebras》 | 2018年第1期
- Parallel positioning mechanism;
- Kinematic analysis;
- Optimal design;
- Geometric algebra;
57.The Hyperbolic Spinor Representation of Transformations in R-1(3) by Means of Split Quaternions

机译：通过分裂四元数，r-1（3）中转换的双曲线纯旋转器表示
- 作者：Tarakcioglu Mustafa;Erisir Tulay;Gungor Mehmet Ali;Tosun Murat
- 期刊名称：《Advances in applied Clifford algebras》 | 2018年第1期
- Lie groups;
- Hyperbolic spinors;
- Split quaternions;
58.Schwarzschild Black Hole in Anti-De Sitter Space

机译：Schwarzschild黑洞在反德卫星空间
- 作者：Socolovsky Miguel
- 期刊名称：《Advances in applied Clifford algebras》 | 2018年第1期
- Maximally symmetric spaces;
- Black holes;
- Anti-De Sitter;
59.Finite Motion Analysis of Parallel Mechanisms with Parasitic Motions Based on Conformal Geometric Algebra

机译：基于保形几何代数的寄生运动有限运动分析
- 作者：Huo Xinming;Song Yimin
- 期刊名称：《Advances in applied Clifford algebras》 | 2018年第1期
- Parallel mechanism;
- Conformal geometric algebra;
- Finite motion analysis;
- Parasitic motion;
60.On Polynomial General Helices in n-Dimensional Euclidean Space R-n

机译：在N维欧几里德空间R-N中的多项式通用螺旋
- 作者：Altunkaya Bulent;Kula Levent
- 期刊名称：《Advances in applied Clifford algebras》 | 2018年第1期
- Harmonic curvature;
- Polynomial general helix;
- Rational curve;
- Rational helix;
61.Symplectic Field Theories: Scalar and Spinor Representations

机译：辛野战理论：标量和旋转表示
- 作者：Costa Caroline;Tenser Marcia R.;Amorim Ronni G. G.;Fernandes Marco C. B.;Santana Ademir E.;Vianna J. David M.
- 期刊名称：《Advances in applied Clifford algebras》 | 2018年第1期
- Moyal product;
- Phase space;
- Field theory;
62.Spinor Fields, Singular Structures, Charge Conjugation, ELKO and Neutrino Masses

机译：旋转场，奇异结构，电荷共轭，ELKO和中微子质量
- 作者：Fabbri Luca
- 期刊名称：《Advances in applied Clifford algebras》 | 2018年第1期
- Singular spinors;
- Weyl spinors;
- Majorana spinors;
- ELKO spinor;
- Neutrino mass generation;
63.Elliptic Complex on the Grassmannian of Oriented 2-Planes

机译：椭圆形复合体在面向2飞机的基地曼
- 作者：Salac Tomas
- 期刊名称：《Advances in applied Clifford algebras》 | 2018年第1期
64.Extreme Points and Some Quaternion Valued Functions in the Unit Ball of R-3

机译：R-3单位球中的极端点和一些四元数值函数
- 作者：Ahmed Ahmed El-Sayed;Omran Saleh
- 期刊名称：《Advances in applied Clifford algebras》 | 2018年第1期
- Quaternion Analysis;
- F(p;
- q;
- s;
- E) spaces;
- Quaternion-Bloch functions;
65.Generalization of Superalgebras to Color Superalgebras and Their Representations

机译：Superalgebras概括到彩色超级凝视及其表示
- 作者：Aizawa Naruhiko
- 期刊名称：《Advances in applied Clifford algebras》 | 2018年第1期
- Color superalgebras;
- Clifford algebras;
- Lie superalgebras;
- Boson-fermion systems;
66.Hermitian Clifford Analysis on Superspace

机译：赫米特·克利福德分析超空间
- 作者：De Schepper Hennie;Adan Ali Guzman;Sommen Frank
- 期刊名称：《Advances in applied Clifford algebras》 | 2018年第1期
- Hemitian Clifford analysis;
- Superspace;
- Radial algebra;
67.Resolution of the k-Dirac operator

机译：k-diac运算符的分辨率
- 作者：Salac Tomas
- 期刊名称：《Advances in applied Clifford algebras》 | 2018年第1期
- Resolution of overdetermined system;
- k-Dirac operator;
- k-Dirac complex;
- Invariant differential complexes;
68.An Extended Implementation Framework for Geometric Algebra Operations on Systems of Coordinate Frames of Arbitrary Signature

机译：关于任意签名坐标帧系统的几何代数操作的扩展实现框架
- 作者：Eid Ahmad Hosny
- 期刊名称：《Advances in applied Clifford algebras》 | 2018年第1期
- Geometric Algebra;
- Coordinate frames;
- Software implementations;
69.A New Algebraic Technique for Quaternion Constrained Least Squares Problems

机译：一种新的四元数的代数技术限制最小二乘问题
- 作者：Jiang Tongsong;Zhang Zhaozhong;Jiang Ziwu
- 期刊名称：《Advances in applied Clifford algebras》 | 2018年第1期
70.Introduction to Hybrid Numbers

机译：混合数字简介
- 作者：Ozdemir Mustafa
- 期刊名称：《Advances in applied Clifford algebras》 | 2018年第1期
- Complex numbers;
- Hyperbolic numbers;
- Dual numbers;
- Non-comutative rings;
- De Moivre formulas;
71.Geometric Error Modeling of Parallel Manipulators Based on Conformal Geometric Algebra

机译：基于共形几何代数的并联机械手几何误差建模
- 作者：Lian Binbin
- 期刊名称：《Advances in applied Clifford algebras》 | 2018年第1期
- Geometric error modeling;
- Parallel manipulator;
- Conformal geometric algebra;
- Finite motion;
- Motion and constraints;
72.On T-Magnetic Biharmonic Particles with Energy and Angle in the Three Dimensional Heisenberg Group H

机译：在三维Heisenberg组中具有能量和角度的T-磁性双谐颗粒
- 作者：Korpinar Talat
- 期刊名称：《Advances in applied Clifford algebras》 | 2018年第1期
- Magnetic field;
- Biharmonic particle;
- Bienergy;
- Heisenberg group;
- symmetries;
73.Bilinear Forms Derived from Lipschitzian Elements in Clifford Algebras

机译：从克利福德代数中源自Lipschitzian元素的Bilinear形式
- 作者：Helmstetter Jacques
- 期刊名称：《Advances in applied Clifford algebras》 | 2018年第1期
- Clifford algebras;
- Lipschitz semi-groups;
- bilinear forms;
74.Some Remarks on Quantum Logics and Quantum Mechanics

机译：关于量子逻辑和量子力学的一些评论
- 作者：Grib Andrey
- 期刊名称：《Advances in applied Clifford algebras》 | 2018年第1期
- Quantum logic;
- Nondistributive lattices;
- Hasse diagrams;
75.Generalized Quaternion Rings over Z/nZ for an Odd n

机译：z / nz的广义四元数环奇数n
- 作者：Maria Grau Jose;Miguel Celino;Oller-Marcen Antonio M.
- 期刊名称：《Advances in applied Clifford algebras》 | 2018年第1期
- Quaternion algebra;
- Z/nZ;
- Structure;
76.On a Class of Monogenic Functions with (Logarithmic) Line Singularities

机译：关于（对数）线奇点的一类单一的功能
- 作者：Bock Sebastian
- 期刊名称：《Advances in applied Clifford algebras》 | 2018年第1期
- Monogenic functions;
- Line singularities;
- Recurrence formulae;
77.Cauchy-Riemann Operators in Octonionic Analysis

机译：Cauchy-Riemann运营商在八大噻嗪类分析中
- 作者：Kauhanen Janne;Orelma Heikki
- 期刊名称：《Advances in applied Clifford algebras》 | 2018年第1期
- Octonions;
- Cauchy-Riemann operators;
- Dirac operators;
- Monogenic functions;
78.The Fermi-Walker Derivative and Non-rotating Frame in Dual Space

机译：Fermi-Walker衍生物和双空间的非旋转框架
- 作者：Sahin Tevfik;Karakus Fatma;Yayli Yusuf
- 期刊名称：《Advances in applied Clifford algebras》 | 2018年第1期
- Fermi-Walker derivative;
- Fermi-Walker transport;
- Non-rotating frame;
- Dual curve;
- Dual space;
- Darboux vector;
- Dual Bishop frame;
79.A Framework for On-line Calibration of LINAC Devices

机译：LINAC设备的在线校准框架
- 作者：Kycia R. A.;Tabor Z.;Woszczyna A.;Kabat D.;Tulik M.;Latala Z.
- 期刊名称：《Advances in applied Clifford algebras》 | 2018年第1期
- Image guided radiotherapy;
- Calibration;
- LINAC;
- Geometric algebra;
- Projection;
80.Division Algebras, Clifford Algebras, Periodicity

机译：代数，克利福德代数，周期性
- 作者：Dixon Geoffrey
- 期刊名称：《Advances in applied Clifford algebras》 | 2018年第1期
81.Discretization of Maxwell's Equations for Non-inertial Observers Using Space-Time Algebra

机译：使用时效时间代数的非惯性观察者的麦克斯韦方程的离散化
- 作者：Klimek Mariusz;Kurz Stefan;Schops Sebastian;Weiland Thomas
- 期刊名称：《Advances in applied Clifford algebras》 | 2018年第1期
- Clifford's geometric algebra;
- Minkowski space-time;
- Finite integration technique;
- Whitney finite elements;
82.Determinantal Representations of Solutions to Systems of Quaternion Matrix Equations

机译：四元数矩阵方程的解决方案的决定性表示
- 作者：Kyrchei Ivan
- 期刊名称：《Advances in applied Clifford algebras》 | 2018年第1期
- Moore-Penrose inverse;
- Quaternion matrix;
- Cramer rule;
- System matrix equations;
83.Non-anti-hermitian Quaternionic Quantum Mechanics

机译：非抗封闭师四季度量子力学
- 作者：Giardino Sergio
- 期刊名称：《Advances in applied Clifford algebras》 | 2018年第1期
84.Cauchy Integral Formula for k-Monogenic Function with alpha-Weight

机译：k-单体函数的Cauchy积分公式α重量
- 作者：Yang Heju;Qiao Yuying;Xie Yonghong;Wang Liping
- 期刊名称：《Advances in applied Clifford algebras》 | 2018年第1期
- k-Monogenic function with alpha-weight;
- Dirac operator with alpha-weight;
- Cauchy integral formula;
85.Novel Uncertainty Principles for Two-Sided Quaternion Linear Canonical Transform

机译：双面四元线线性规范变换的新颖性不确定性原则
- 作者：Zhang Yan-Na;Li Bing-Zhao
- 期刊名称：《Advances in applied Clifford algebras》 | 2018年第1期
- Uncertainty principle;
- Quaternion linear canonical transform;
- Quaternion Fourier transform;
86.The Monogenic Cauchy-Kovalevskaya Extension in Two Vector Variables

机译：两种向量变量中的单一的Cauchy-kovalevskaya扩展
- 作者：Eelbode David;Janssens Tim;Roels Matthias
- 期刊名称：《Advances in applied Clifford algebras》 | 2018年第1期
87.A Curvature-Based Descriptor for Point Cloud Alignment Using Conformal Geometric Algebra

机译：基于曲率的点云对齐的描述符，使用保形几何代数
- 作者：Kleppe Adam Leon;Egeland Olav
- 期刊名称：《Advances in applied Clifford algebras》 | 2018年第2期
- Keypoint descriptor;
- Conformal geometric algebra;
- Initial alignment;
- Point clouds;
88.Gleason's Problem Associated to a Real Ternary Algebra and Applications

机译：格里森与真正的三元代物和应用相关的问题
- 作者：Alpay D.;Vajiac A.;Vajiac M. B.
- 期刊名称：《Advances in applied Clifford algebras》 | 2018年第2期
- Ternary analysis;
- Regular functions;
- Gleason's problem;
- Fueter variables;
89.An Iterative Method to Compute the Dominant Zero of a Quaternionic Unilateral Polynomial

机译：一种计算四季度单侧多项式的主要零的迭代方法
- 作者：Serodio Rogerio;Ferreira Jose Augusto;Vitoria Jose
- 期刊名称：《Advances in applied Clifford algebras》 | 2018年第2期
- Division algebra;
- Polynomials;
- Zeros of polynomials;
- Quaternion;
90.On Weighted Dirac Operators and Their Fundamental Solutions for Anisotropic Media

机译：关于加权DIRAC算子及其各向异性媒体的基本解决方案
- 作者：Vanegas Judith;Vargas Franklin
- 期刊名称：《Advances in applied Clifford algebras》 | 2018年第2期
- Second-order elliptic equations;
- Fundamental solutions;
- Clifford algebras depending on parameters;
91.About a Theorem of Hyman Bass and some other Topics

机译：关于Hyman Bass和其他一些主题的定理
- 作者：Helmstetter Jacques
- 期刊名称：《Advances in applied Clifford algebras》 | 2018年第2期
- Clifford algebras;
- Spinorial groups;
- Lie groups;
92.Almost Analytic Kahler Forms with Respect to a Quadratic Endomorphism with Applications in Riemann-Finsler Geometry

机译：几乎分析Kahler相对于黎曼 - 芬斯勒几何中的应用相对于二次胚胎形式形式
- 作者：Crasmareanu Mircea;Piscoran Laurian-Ioan
- 期刊名称：《Advances in applied Clifford algebras》 | 2018年第2期
93.Immersion in R-n by Complex Spinors

机译：通过复合纺丝丝浸入R-N中
- 作者：Leao Rafael de Freitas;Wainer Samuel Augusto
- 期刊名称：《Advances in applied Clifford algebras》 | 2018年第2期
- Immersion;
- Spinors;
- Killing equation;
94.Quadric Conformal Geometric Algebra of R-9,R-6

机译：R-9，R-6的二次保形几何代数
- 作者：Breuils Stephane;Nozick Vincent;Sugimoto Akihiro;Hitzer Eckhard
- 期刊名称：《Advances in applied Clifford algebras》 | 2018年第2期
- Quadrics;
- Geometric algebra;
- Conformal geometric algebra;
- Clifford algebra;
95.Spinor Modules of Clifford Algebras in Classes N2k-1 and Omega(2k-1) are Determined by Irreducible Nonlinear Characters of Corresponding Salingaros Vee Groups

机译：N2K-1和Omega（2K-1）中的夹夹模块的夹子模块由相应的Salingaros VEE组的不可缩续的非线性特征确定
- 作者：Ablamowicz Rafal
- 期刊名称：《Advances in applied Clifford algebras》 | 2018年第2期
96.A Classification of Clifford Algebras as Images of Group Algebras of Salingaros Vee Groups

机译：Clifford代数的分类作为Salingaros Vee群体的组代数的图像
- 作者：Ablamowicz Rafal;Varahagiri Manisha;Walley Anne Marie
- 期刊名称：《Advances in applied Clifford algebras》 | 2018年第2期
97.Classical Field Theories from Hamiltonian Constraint: Local Symmetries and Static Gauge Fields

机译：汉密尔顿约束的经典野外理论：局部对称和静态仪表
- 作者：Zatloukal Vaclav
- 期刊名称：《Advances in applied Clifford algebras》 | 2018年第2期
- Geometric algebra;
- Gauge theories;
- Hamiltonian constraint;
- Classical field theory;
98.Motor Parameterization

机译：电机参数化
- 作者：Tingelstad Lars;Egeland Olav
- 期刊名称：《Advances in applied Clifford algebras》 | 2018年第2期
- Motion parameterization;
- Exponential map;
- Outer exponential map;
- Cayley map;
- Retractions;
99.Clifford Algebra, Lorentz Transformation and Unified Field Theory

机译：Clifford代数，洛伦兹转型和统一场理论
- 作者：Gu Ying-Qiu
- 期刊名称：《Advances in applied Clifford algebras》 | 2018年第2期
- Clifford algebra;
- Elementary field;
- Transformation law;
- Unified field theory;
- Nonlinear potential;
- Spinor;
100.Clifford Algebras as Twisted Group Algebras and the Arf Invariant

机译：Clifford代数作为扭曲组代数和ARF不变
- 作者：Elduque Alberto;Rodrigo-Escudero Adrian
- 期刊名称：《Advances in applied Clifford algebras》 | 2018年第2期
- Real Clifford algebra;
- Twisted group algebra;
- Division grading;
- Quadratic form;
- Arf invariant;

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