Sentence examples for connecting a point from inspiring English sources

The proof that the problem is impossible depends on the so-called Jordan curve theorem that a continuous closed curve in a plane divides the plane into an interior and an exterior region in such a way that any continuous line connecting a point in the interior with a point in the exterior must intersect the curve.

We have developed a method for connecting a point in one scan to the corresponding point in other scans in the anatomical sense using these warps.

Furthermore, by connecting a point on one roadline with two relative points on an adjacent roadline, a network of triangles is created representing the roadway surface.

On the (left( frac{1}{r}, frac{1}{s}right) ) plane, the exponents in the theorem constitute the line segments connecting a point whose horizontal axis is (frac{n+1}{2n}) with its dual, the point whose vertical axis is (frac{n-1}{2n}); see Fig. 1 below.

For instance, a heteroclinic orbit from P + to P − can be obtained as follows: by connecting a point of O ( P + ) with one of I ( P − ) using an orbit path of Γ c for c ∈ ] ℓ ∗, ℓ 0 [, or by a connection of two different points of L P P +, P − ) via an orbit path of Γ c for c ∈ [ ℓ 1, ℓ ∗ [.

One consists in connecting O ( P + ) to I ( P + ), using an orbit path of Γ c for c ∈ ] ℓ ∗, ℓ 0 [. Another possibility is given by connecting a point of L ( P +, P − ) to a point of L ( P −, P + ) via an orbit path of Γ c for c ∈ [ ℓ 1, ℓ ∗ [.

Yukon's system of roads is concentrated mostly in the southern and southwestern regions, although an important highway link, the Dempster Highway, connects a point on the Klondike Highway near Dawson with Inuvik, in the Mackenzie delta, Northwest Territories.

(3) Here (varGamma(boldsymbol {x})) denotes an arbitrary path that connects a point on the boundary to the point x within its interior, and (boldsymbol {z} = nabla_{boldsymbol {x}} u in mathbb{R}^{2}).

Let us call an edgeless spacelike surface S a quasi-Cauchy surface if it divides the rest of the manifold into two parts such that a) every point in the manifold can be connected by a timelike curve to S, and b) any timelike curve which connects a point in one region to a point in the other region intersects S exactly once.

The graph is strongly connected, a point not mentioned by Kim and O'Shea, but as noted above for Equation 7, this ensures that the steadystate probability of each microstate is positive.

Key saddle: The highest saddle point connecting a peak to any neighbouring peak is considered the key saddle.