The "Rowland torus" is formed by rotating the circle about the line in the dispersion direction going through the on-axis focus.
Roberval also found the volume of the solid formed by rotating the cycloid about the straight line through its endpoints.
For the spatial correspondence, local coordinate systems of both (i.e., coordinate systems defined by each system an x-axis defined by the pelvis and a y-axis defined by the spine) are rotated about the y-axis into a global coordinate system (i.e., an absolute coordinate system newly defined for the coordinate system matching a subject always faces the front) (Figure 2).
Each patch was translated along x, y, and z axes by N t steps and rotated about the three axes by N r angles.
A coxa can rotate about the metathorax by some 25° at two pivots, one at its anterior, ventral and lateral edge, and the second at its anterior, medial edge.
In the computational domain, the model can be rotated about the z-axis by the required yaw angle for simulation.
A further special case is defined: if there are no selected atoms, but there is a current bond, and one end of the bond is terminal, then the terminal atom is rotated about the position defined by the non-terminal end of the bond.
The reconstructed 3D models of the ΔN159ChlH and DIX-bound ΔN159ChlH protein are displayed in Figure 2E, twice rotated about the z-axis by 90°.
By rotating the Ferrers' diagram of the partition about the diagonal, it is possible to obtain from the partition n = x1 + x2 +⋯+ xk the conjugate partition n = x1* + x2* +⋯xn*, in which xi* is the number of parts in the original partition of cardinality i or more.
And the SecA in the closed state structure (ecSecA-closed) is generated from the open state one by rotating the PBD about 60° [13], [13].
