Sentence examples for unique tangent from inspiring English sources

These results extend to the smooth infinite-dimensional case although, since the equivalence between correlations and curvatures breaks down in the infinite-dimensional setting, we cannot, in general, single out a unique tangent.

Let be a surface in with the property that at each point of there is a unique tangent hyperplane, and that is the unit normal vector to this hyperplane at.

It is composed of a unique long tangent (about 4 km), connecting two towns (< 30,000 inhabitants) and characterized by several driveways/minor intersections (driveway density: 12.5 driveways/km).

In our case, the equilibrium measure μϕ is the unique linear functional in C⁎ tangent to the pressure function P C→R at ϕ.

The individual, according to the German sociologist Georg Simmel who wrote a century ago, arises when a person occupies a unique social space at the tangent of multiple group affiliations--PTA parent, Baptist, doctor, Vikings fan, Irish immigrant, etc.

For each tangent, there is a unique geodesic starting at with initial velocity.

Generally, inscribed curves for one atomic chain are not unique due to the positions of tangent points as shown in Fig. 1c.

In cases where this construction leads to a unique stationary approximation we call it a stationary tangent.

We define the center of the scan as the unique position where light is reflected from a tangent plane that contains the coverslip-buffer interface such that the optical path will be parallel to the optical (z) axis (Fig. 3).

(H x)=0) has a unique positive solution (x^) and the horizonal axis is tangent to the curve (y=H x)) at (x^).

The method depended upon finding the normal, the line perpendicular to the tangent, using the algebraic condition that it be the unique radius to intersect the curve in only one point.