When the ellipsoid / tensor is represented by a Cartesian axes.
2.
Hamilton s discovery derived from his attempts to find an algebra of Cartesian axes.
3.
By convention, B 0 is interpreted as a cartesian axes oriented with the right hand rule.
4.
Geometrically these points correspond to the vertices of a regular octahedron when aligned with the Cartesian axes.
5.
However, in a tissue, diffusion leads to movement of water molecules along trajectories that proceed along multiple directions over time, leading to a complex projection onto the Cartesian axes.
6.
Seismograms typically record motions in three cartesian axes ( x, y, and z ), with the z axis perpendicular to the Earth's surface and the x-and y-axes parallel to the surface.
7.
For cooling to occur along all directions, the atom must see this friction force along all three Cartesian axes; this is most easily achieved by illuminating the atom with 3 orthogonal laser beams, which are then reflected back along the same direction.
8.
Informally, if " x " is a real number and " f " is a real function, " graph " may mean the graphical representation of this collection, in the form of a line chart : a curve on a Cartesian plane, together with Cartesian axes, etc . Graphing on a Cartesian plane is sometimes referred to as " curve sketching ".
9.
Because it is rare to have a scene consisting solely of lines parallel to the three Cartesian axes ( x, y, and z ), it is rare to see perspectives in practice with only one, two, or three vanishing points; even a simple house frequently has a peaked roof which results in a minimum of six sets of parallel lines, in turn corresponding to up to six vanishing points.
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