A left hand can be held, as shown in the illustration, so as to represent three mutually orthogonal axes on the thumb, first finger and middle finger.
12.
That's what makes space " three-dimensional "-not that we happen to choose a set of three orthogonal axes to use as our measuring stick.
13.
This resulted in the development of a Miniature Fiber-Optic Gyroscope, with three orthogonal axes, to provide the necessary information for on-board computers and ensuring missile accuracy.
14.
Although the Clifford algebra can be defined abstractly in a coordinate-independent way, its particular realization as a specific algebra of matrices depends on which orthogonal axes the gamma matrices represent.
15.
Any real symmetric matrix is orthogonally diagonalizable, so you can think of the tensor as three orthogonal axes ( the principal axes ) with a scalar moment of inertia associated with each one.
16.
The shear rate tensor is represented by a symmetric 3 ?3 matrix, and describes a flow that combines compression and expansion flows along three orthogonal axes, such that there is no change in volume.
17.
The construction of the axes of S and S2 is done in accordance with the ordinary method using \ tan \ alpha = \ beta _ 0 with respect to the orthogonal axes of the median frame ( Fig . 1 ).
18.
The use of mixed contributions from gradients in the three primary orthogonal axes in order to generate an infinite number of differently oriented gradients for tensor analysis was also identified in 1992 as the basis for accomplishing tensor descriptions of water diffusion in MRI voxels.
19.
The rotation matrix is for example computed with Mercer's theorem by using this rotation axis with eigenvalue 1 and the two orthogonal axes with complex eigenvalues \ exp ( \ pm i j \ gamma _ s ), j = 0 \ ldots s.
20.
I can understand the one-qubit case, since the components of the electric wave in two orthogonal axes for a coherent beam of light or a single photon will consist of two phasors, represented as two complex numbers, where overall amplitude and phase can be ignored.
