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Every rotation in three dimensions is defined by its axis (a vector along this axis is unchanged by the rotation), and its angle — the amount of rotation about that axis (Euler rotation theorem). There are several methods to compute the axis and angle from a rotation matrix (see also axis–angle representation ).
Angle of attack of an airfoil. In fluid dynamics, angle of attack (AOA, α, or ) is the angle between a reference line on a body (often the chord line of an airfoil) and the vector representing the relative motion between the body and the fluid through which it is moving. [1]
"X" or "x" axis runs from back to front along the body, called the Roll Axis. "Y" or "y" axis runs left to right along the wing, called the Pitch Axis. "Z" or "z" runs from top to bottom, called the Yaw Axis. Two slightly different alignments of these axes are used depending on the situation: "body-fixed axes", and "stability axes".
The X axis is now at angle γ with respect to the x axis. The XYZ system rotates again, but this time about the x axis by β. The Z axis is now at angle β with respect to the z axis. The XYZ system rotates a third time, about the z axis again, by angle α. In sum, the three elemental rotations occur about z, x and z.
The transformation can be thought of as the projection of the three phase quantities (voltages or currents) onto two stationary axes, the alpha axis and the beta axis. However, no information is lost if the system is balanced, as the equation I a + I b + I c = 0 {\displaystyle I_{a}+I_{b}+I_{c}=0} is equivalent to the equation for I γ ...
The Pournelle chart, developed by Jerry Pournelle in his 1963 political science Ph.D. dissertation, is a two-dimensional coordinate system which can be used to distinguish political ideologies. It is similar to the political compass and the Nolan Chart in that it is a two-dimensional chart, but the axes of the Pournelle chart are different from ...
In graph theory, a string graph is an intersection graph of curves in the plane; each curve is called a "string".Given a graph G, G is a string graph if and only if there exists a set of curves, or strings, such that the graph having a vertex for each curve and an edge for each intersecting pair of curves is isomorphic to G.
The Smith chart uses the same convention, noting that, in the normalised impedance plane, the positive x-axis extends from the center of the Smith chart at = to the point =. The region above the x-axis represents inductive impedances (positive imaginary parts) and the region below the x -axis represents capacitive impedances (negative imaginary ...