Sentence examples for rigid rotation from inspiring English sources

One example of a fixed-point theorem is the rigid rotation of a sphere for example, the surface of the earth.

One example of a fixed-point theorem is the rigid rotation of a sphere — for example, the surface of the earth.

This requires that the constitutive relation, or rheological relation, between the stress history and the deformation history at a material "point" be properly invariant to a superposed history of rigid rotation, which should not affect the local physics determining that relation (the resulting Coriolis and centrifugal effects are quite negligible at the scale of molecular interactions).

Therefore, (F_{f}) is a rigid rotation on ((0,vartheta_{max})).

The maximum shear strain and the rigid rotation (macro-rotation) are determined analytically.

Thus (15) should be interpreted as a motion due to rigid rotation superposed by some unsteady motion.

It is well suited for nonlinear problems that involve large deflections and rigid rotations.

It is not difficult to show that this interpolation method takes into account rigid rotations of the model.

With the absence of attractive interactions between the particle and punch plates, the particles exhibited rigid rotations during the simulations.

We apply this analysis to compute those rigid rotations U for W such that the canonical oblique dual of U⋅F minimize every convex potential; we also introduce a notion of aliasing for oblique dual pairs and compute those rigid rotations U for W such that the canonical oblique dual pair associated to U⋅F minimize the aliasing.

Fourier transforms of functions of several variables invariant under certain symmetry groups are studied, with particular reference to functionsf x1···xN) ofNthree-component vectors invariant under rigid rotations.