Sentence examples for with respect to the points from inspiring English sources
Informally, the VC-dimension of a set system is a mathematical way of characterizing the "regularity" of the sets in (with respect to the points ) in the system.
Our 'maximal subspace clusters' are both inclusive (with respect to the points in a given subspace) and maximal (with respect to the lower dimensional projections).
Having the point cloud filtered initially, the average distance (overline {mathit {D}}) is recalculated with respect to the points left in the model.
The variation of diversity order with respect to the points R1, R2, R3, R4, and R5 suggests that the use of some adaptive method can improve the performance of the wideband system.
Because the number of photons at a pixel location p is proportional to the pixel intensity, denoted as I(p), we define the distance between the control point c and a pixel p as the sum of squared Euclidean distances between c and each unit of pixel intensity at pixel p: (1) Consider the Voronoi decomposition of W with respect to the points in Ω.
The two systems also have sharply divergent rules with respect to the point at which, when the parties are contracting by correspondence, the acceptance takes effect to conclude the contract.
Horizontal precession occurs in this case because the gravitational force results in a torque with respect to the point of suspension, such that τ = r × F and is directed, initially, in the positive y direction.
Let denote the polar derivative of the polynomial of degree with respect to the point.
Similar to the QPSK case, the value of dminis symmetric with respect to the point at which the second user's carrier phase offset is 8 Π.
This finding is discussed with respect to the point defect formation within areas of localized cyclic slip and primarily to their mobility at different temperatures.
In line with that, participation and non-participation have to be defined dynamically, i.e. with respect to the point in time in which the comparison is made.
