Objective The main purpose of this article is to choose the best predictive model for IVF/ICSI classification and to calculate the probability of IVF/ICSI success for each couple using Artificial intelligence. Also, we aimed to find the most effective factors for prediction of ART success in infertile couples. MaterialsAndMethods In this cross-sectional study, the data of 486 patients are colle...

We count the numbers of independent dominating sets of rooted labeled trees, ordinary labeled trees, and recursive trees, respectively.

The red-black tree model for implementing balanced search trees, introduced by Guibas and Sedgewick thirty years ago, is now found throughout our computational infrastructure. Red-black trees are described in standard textbooks and are the underlying data structure for symbol-table implementations within C++, Java, Python, BSD Unix, and many other modern systems. However, many of these implemen...

We consider fixed point equations for probability measures charging measured compact metric spaces that naturally yield continuum random trees. On the one hand, we study existence/uniqueness of points and convergence corresponding iterative schemes. other geometric properties real trees are points, in particular their fractal properties. obtain bounds on Minkowski Hausdorff dimension, proved ti...

Consider a random recursive tree with n vertices. We show that the number of vertices with even depth is asymptotically normal as n → ∞. The same is true for the number of vertices of depth divisible by m for m = 3, 4 or 5; in all four cases the variance grows linearly. On the other hand, for m ≥ 7, the number is not asymptotically normal, and the variance grows faster than linear in n. The cas...

In this article we survey properties of mixed Poisson distributions and probabilistic aspects of the Stirling transform: given a non-negative random variable X with moment sequence (μs)s∈N we determine a discrete random variable Y , whose moment sequence is given by the Stirling transform of the sequence (μs)s∈N, and identify the distribution as a mixed Poisson distribution. We discuss properti...