Sentence examples for preserves orientation from inspiring English sources

If f preserves orientation, then (rho_{r}> 0) a.e.

If f preserves orientation, then (varphi_{theta}> 0) a.e.

If T preserves orientation and is not the identity, then there are no fixed points.

As f preserves orientation, then (J_{f}=u _{x}v_{y}>0) a.e.

Let (f:Omegato mathbb {C}) be an ACL (absolute continuous on lines) homeomorphism in a domain (Omegasubset mathbb {C}) that preserves orientation.

34 For reconstructing the local fiber orientations with reasonable accuracy, it is important not only to measure signal attenuation along a sufficiently large number of unique orientations but also to model the data in a way that preserves orientation-dependent information.

f is a preserving orientation circle homeomorphism on (S^{1}).

(i) f is a preserving orientation circle homeomorphism on (S^{1}).

Let (a, b, c, din S^{1}) be the four points of the circle which preserve orientation; that is, (aprec bprec cprec dprec a) on the circle.

Let f be a preserving orientation circle homeomorphism with infinite number of break points, i.e., the points at which the derivative of f has jumps, and finite number of singular points, i.e., the points (x_{i}), (i=1,2,ldots,n), such that (f'(x_{i})=infty), (i=1,2,ldots,n).

Phase of the face images was scrambled in the Fourier domain via random permutation, a procedure known to preserve orientation content (Dakin et al. 2002).