University of Minnesota M.S. thesis. October 2016. Major: Applied and Computational Mathematics. Advisor: Joseph Gallian. 1 computer file (PDF); vii, 71 pages.In this paper, we are studying selected types of quadratic equations in Clifford algebra, using methods developed for solving analogous equations in quaternions. Our goal is to classify the solutions in order to build a solid foundation for the study of Minkowski Pythagorean hodograph curves
This thesis is centered around the construction and analysis of the principal arithmetic surface (3,...
Department of Mathematics EducationKatedra didaktiky matematikyFaculty of Mathematics and PhysicsMat...
summary:We will study applications of numerical methods in Clifford algebras in $\mathbb {R}^4$, in ...
Tato práce uvádí jednotný formalismus pro popis rovinných a prostorových PH a MPH křivek v bézierovs...
textThis report explores several geometric representations of quadratic equations and their solution...
This report is meant to be a script of a tutorial on Clifford (or Geometric) algebra. It is therefor...
Quaternionic Clifford analysis is a recent new branch of Clifford analysis, a higher dimensional fun...
After more than hundred years of arguments in favour and against quaternions, of exciting odysseys w...
Quaternions are a number system that has become increasingly useful for representing the rotations o...
Two useful theorems in Euclidean and Hermitean Clifford analysis are discussed: the Fischer decompos...
The Clifford algebra of a n-dimensional Euclidean vector space provides a general language comprisin...
Thesis (M.S.) University of Alaska Fairbanks, 2014We present an axiomatic development of geometric a...
Let R denote either the integers or the rationals and let d(x) be a square-free polynomial in R[x]. ...
Applications of Laguerre geometry to computer aided geometric design are presented, realized through...
Master of ScienceDepartment of MathematicsChristopher G. PinnerThis thesis will look at Quadratic Di...
This thesis is centered around the construction and analysis of the principal arithmetic surface (3,...
Department of Mathematics EducationKatedra didaktiky matematikyFaculty of Mathematics and PhysicsMat...
summary:We will study applications of numerical methods in Clifford algebras in $\mathbb {R}^4$, in ...
Tato práce uvádí jednotný formalismus pro popis rovinných a prostorových PH a MPH křivek v bézierovs...
textThis report explores several geometric representations of quadratic equations and their solution...
This report is meant to be a script of a tutorial on Clifford (or Geometric) algebra. It is therefor...
Quaternionic Clifford analysis is a recent new branch of Clifford analysis, a higher dimensional fun...
After more than hundred years of arguments in favour and against quaternions, of exciting odysseys w...
Quaternions are a number system that has become increasingly useful for representing the rotations o...
Two useful theorems in Euclidean and Hermitean Clifford analysis are discussed: the Fischer decompos...
The Clifford algebra of a n-dimensional Euclidean vector space provides a general language comprisin...
Thesis (M.S.) University of Alaska Fairbanks, 2014We present an axiomatic development of geometric a...
Let R denote either the integers or the rationals and let d(x) be a square-free polynomial in R[x]. ...
Applications of Laguerre geometry to computer aided geometric design are presented, realized through...
Master of ScienceDepartment of MathematicsChristopher G. PinnerThis thesis will look at Quadratic Di...
This thesis is centered around the construction and analysis of the principal arithmetic surface (3,...
Department of Mathematics EducationKatedra didaktiky matematikyFaculty of Mathematics and PhysicsMat...
summary:We will study applications of numerical methods in Clifford algebras in $\mathbb {R}^4$, in ...