Sentence examples for minimal order of from inspiring English sources

On the simplex, the minimal order of growth is not even known.

On the disk, the minimal order of growth is quite different, namely (O sqrt{n+1})), as proved in [38].

For instance, on the square, the minimal order of growth is (O ln^{2}(n+1))), and this order is achieved for the configurations of interpolation points given in [36] and [37].

According to the definition of order statistics, the gear probabilistic life equals the minimal order statistics of the single tooth probabilistic life [26].

A minimal order state realization of the innovation form of the state model is then generated from this high order model using realization based sub-space based state space (4SID) identification algorithm.

Furthermore, based on the probabilistic life of tooth and the concept of minimal order statistics, a probabilistic life transformation model of planetary gear system is established.

Current methods used to devise sets of Hermite interpolation polynomials of minimal order that ensure C(n) continuity across triangular element boundaries in two dimensions are not readily extensible to higher dimensions.

If the number of teeth on a gear is z, then by integrating both sides of Eq. (6), we can derive the cumulative distribution function of minimal order statistics (Gleft( n right)), which is just the cumulative distribution function of gear life Gleft( n right) = 1 - left[ {1 - Fleft( n right)} right]^{z}, (7 where (Fleft( n right)) is the cumulative distribution function of the tooth.

Assume that the theorem is not true and let (G) be a counterexample of minimal order.

The concept of minimal order statistics is used to create the probabilistic life transformation model.

Suppose that the theorem is false and let (G) be a counterexample of minimal order.