Add to ORKGThis self-contained text presents a consistent description of the geometric and quaternionic treatment of rotation operators, employing methods that lead to a rigorous formulation and offering complete solutions to many illustrative problems.Geared toward upper-level undergraduates and graduate students, the book begins with chapters covering the fundamentals of symmetries, matrices, and groups, and it presents a primer on rotations and rotation matrices. Subsequent chapters explore rotations and angular momentum, tensor bases, the bilinear transformation, projective representations, and the
The theory of quaternions was discovered in the middle of nineteenth century and they were commonly ...
This paper introduces and defines two principal rotational methods;the Euler angles and the quaterni...
AbstractWe examine computational problems on quaternion matrix and rotation semigroups. It is shown ...
This paper introduces and defines the quaternion with a brief insight into its properties and algebr...
This paper introduces and defines the quaternion with a brief insight into its properties and algebr...
This paper introduces and defines the quaternion with a brief insight into its properties and algebr...
The parameterization of rotations is a central topic in many theoretical and applied fields such as ...
A real orthogonal matrix representing a rotation in E4 can be decomposed into the commutative produc...
Quaternions are presented in various ways: as pairs of complex numbers, using vectors, as 2 × 2-dime...
Quaternionic version of rotation group SO(3) has been constructed. We constructa quatenionic version...
Quaternions are a number system that has become increasingly useful for representing the rotations o...
The final publication is available at link.springer.comThe main non-singular alternative to 3×3 prop...
The final publication is available at link.springer.comThe main non-singular alternative to 3×3 prop...
We treat rotation matrices of given axes and angles in the space R^3 = ImH of pure imaginary quatern...
Quaternions are a type of hypercomplex numbers. Unit quaternions, which describe rotations, were cal...
The theory of quaternions was discovered in the middle of nineteenth century and they were commonly ...
This paper introduces and defines two principal rotational methods;the Euler angles and the quaterni...
AbstractWe examine computational problems on quaternion matrix and rotation semigroups. It is shown ...
This paper introduces and defines the quaternion with a brief insight into its properties and algebr...
This paper introduces and defines the quaternion with a brief insight into its properties and algebr...
This paper introduces and defines the quaternion with a brief insight into its properties and algebr...
The parameterization of rotations is a central topic in many theoretical and applied fields such as ...
A real orthogonal matrix representing a rotation in E4 can be decomposed into the commutative produc...
Quaternions are presented in various ways: as pairs of complex numbers, using vectors, as 2 × 2-dime...
Quaternionic version of rotation group SO(3) has been constructed. We constructa quatenionic version...
Quaternions are a number system that has become increasingly useful for representing the rotations o...
The final publication is available at link.springer.comThe main non-singular alternative to 3×3 prop...
The final publication is available at link.springer.comThe main non-singular alternative to 3×3 prop...
We treat rotation matrices of given axes and angles in the space R^3 = ImH of pure imaginary quatern...
Quaternions are a type of hypercomplex numbers. Unit quaternions, which describe rotations, were cal...
The theory of quaternions was discovered in the middle of nineteenth century and they were commonly ...
This paper introduces and defines two principal rotational methods;the Euler angles and the quaterni...
AbstractWe examine computational problems on quaternion matrix and rotation semigroups. It is shown ...