Sentence examples for given a set of points from inspiring English sources

To do geometry, it was enough to be given a set of points and a way of measuring lengths along curves in the surface.

Given a set of points in the plane and a constant t⩾1, a Euclidean t-spanner is a network in which, for any pair of points, the ratio of the network distance and the Euclidean distance of the two points is at most t.

We consider the following problem: given a set of points in the plane, each with a weight, and capacities of the four quadrants, assign each point to one of the quadrants such that the total weight of points assigned to a quadrant does not exceed its capacity, and the total distance is minimized.

When given a set of points to classify, we simply identify the number of users which contain all of them.

Given a set of points, the affine coordinates for each point are computed in an independent way using (2).

Given a set of points in a space, it seeks out the set of vectors along which the variation in the points is large.

The majority voting technique gives a set of points for which most of the non-dominated solutions assign the same class labels.

The final model gives a set of points corresponding to the centerlines of the two scalae as depicted in Figure 5.

Given a set of n points in the plane, each point having a positive weight, and an integer k>0, we present an optimal O(nlogn -time determinlogn -timerithm to compute a step function with k steps that minimizes the maximum weightedeterministicstalgorithmhe inputopoints.

Given a set of control points, ϕ i,j, with p x × p y equally spaced points, the B-spline transformation for each pixel in an image can be described as [ 36] T (x, y ) = ∑ k = 0 3 ∑ l = 0 3 B k (s ) B l (t ) φ i + k, j + l, (8 with i = ⌊ x / p x ⌋ − 1, j = ⌊ y / p y ⌋ − 1, s = x / p x − ⌊ x / p x ⌋ and t = y / p y − ⌊ y / p y ⌋.

Hence, given a set of control points,,, where and, one can combine the constraints associated with each individual control point and perform joint optimization, to control the shape and the position of the resulting EXIT curve.