Sentence examples for a random version of from inspiring English sources
The second one, annealed FGS (AFGS), is a random version of DFGS where a fixed fraction of grid points is randomly selected and examined.
Each user gets a random track, and also a random version of that track mimicking the treatment it might get from a random boombox.
Nevertheless, we restrict our considerations to a random version of the theorem on antipodes.
Theorem 5.1 is a random version of the Ky Fan fixed point theorem.
To prove Theorem 10.11, we need a random version of Lemma 4.5 in [30].
As some Corollaries of the above theorem, we now obtain a random version of the results given in Xu [14].
Therefore, to obtain a generalized random version of PaRIS algorithm, we only need to be able to sample from the discrete probability distribution (Lambda _{k}^{N}(i,cdot)) in the case of POD processes.
The main aim of this section is to provide a new proof for the random version of Ky Fan's fixed point theorem.
By using the approximation method which is due to Ionescu Tulcea (see [16]), we provide a new proof for the random version of Ky Fan's fixed point theorem.
Section 5 is dedicated to the provision of a new proof for the random version of Ky Fan's fixed point theorem.
The factor analytic model is the random version of a model with additive main effects and multiplicative interaction (AMMI) [ 30- 32].
