The polynomial interpolation in one dimensional space R is an important method to approximate the functions. The Lagrange and Newton methods are two well known types of interpolations. In this work, we describe the semi inherited interpolation for approximating the values of a function. In this case, the interpolation matrix has the semi inherited LU factorization.

clustering is one of the known techniques in the field of data mining where data with similar properties is within the set of categories. k-means algorithm is one the simplest clustering algorithms which have disadvantages sensitive to initial values of the clusters and converging to the local optimum. in recent years, several algorithms are provided based on evolutionary algorithms for cluster...

Linear Hull is a phenomenon that there are a lot of linear paths with the same data mask but different key masks for a block cipher. In 1994, K. Nyberg presented the effect on the key-recovery attack such as Algorithm 2 with linear hull, in which the required number of the known plaintexts can be decreased compared with that in the attack using an individual linear path. In 2009, S. Murphy prov...