Lecture 8. Quaternions
... Just as complex numbers are an extension of the reals, quaternions are an extension of the complex numbers (and of the reals). If 1D numbers are the reals, and 2D numbers are the complex numbers, then 4D numbers are quaternions, and that’s all there is. (Frobenius) (Octonions are not associative.) ...
... Just as complex numbers are an extension of the reals, quaternions are an extension of the complex numbers (and of the reals). If 1D numbers are the reals, and 2D numbers are the complex numbers, then 4D numbers are quaternions, and that’s all there is. (Frobenius) (Octonions are not associative.) ...
Uncertainty statements for complex quantities in polar and
... ■ In fact the important quantities in those calculations are the variances and covariances. ■ In the complex case, the variance-covariance matrix associated with the two components of the complex quantity is fundamental. ...
... ■ In fact the important quantities in those calculations are the variances and covariances. ■ In the complex case, the variance-covariance matrix associated with the two components of the complex quantity is fundamental. ...
o deliteljima nule, invertibilnosti i rangu matrica nad komutativnim
... while a ring under addition is a group, a semiring is only a monoid. The lack of substraction makes this structure far more difficult for investigation than a ring. The subject of investigation in this thesis are matrices over commutative semirings (wiht zero and identity). Motivation for this study ...
... while a ring under addition is a group, a semiring is only a monoid. The lack of substraction makes this structure far more difficult for investigation than a ring. The subject of investigation in this thesis are matrices over commutative semirings (wiht zero and identity). Motivation for this study ...
The geometry of proper quaternion random
... Quaternion random variables and vectors have attracted a substantial amount of attention over the last decade in the signal processing community. Amongst the interesting problems arising in random quaternion signal processing, the extension of the concept of properness (also called second order circ ...
... Quaternion random variables and vectors have attracted a substantial amount of attention over the last decade in the signal processing community. Amongst the interesting problems arising in random quaternion signal processing, the extension of the concept of properness (also called second order circ ...
