0 a straight line that touches but does not cut into a curve --
1 (in a triangle that has one angle of 90°) the ratio of the length of the side opposite an angle less than 90° divided by the length of the shorter of the two sides that are next to the angle --
2 a subject or activity that is different than the one you are talking about or doing: --
3 in a triangle that has one angle of 90°, the ratio (= comparison) of the length of the side opposite an angle less than 90° divided by the length of the shorter of the two sides that are next to the angle --
By the unique integrability of these laminations, it is enough to deal with their tangent distributions.
Theorem 3.6 covers the situation where all the sheets coincide, as opposed to merely being tangent.
The tangent is inclined downward, so the local effect of the magnetic field is stabilizing.
One can see that the edge segments tangent to the circles intersected by each of these lines have a constant orientation.
The metric g determines the isomorphism of the tangent and cotangent bundles.
The theoretical curves follow closely the dashed and dash-dotted numerical curves, and the abrupt change in tangent angle appears to fit almost exactly.
In this bifurcation the geometrical splitting of the tangent space is preserved but the expansion in the unstable direction degenerates near a periodic orbit.
In order to make it competitive it must be combined with some other algorithm that reduces the number of tangent distance comparisons to make.