In this paper, we consider the concepts co-farthest points innormed linear spaces. At first, we define farthest points, farthest orthogonalityin normed linear spaces. Then we define co-farthest points, co-remotal sets,co-uniquely sets and co-farthest maps. We shall prove some theorems aboutco-farthest points, co-remotal sets. We obtain a necessary and coecient conditions...

It is unquestionably essential for students to gather their previous knowledge of specific subjects when they are about to learn new and more complex ones. The gaps left by the absence of welldefined learning prerequisites not only contribute to the increase in the learning difficulties, but also lead many students to fail in school. This situation gets even more serious when students are not a...

Notation and Definition: We assume that examples are drawn from some distributions D over an instance space X = X1 × X2, where X1 and X2 correspond to two different “views” of examples. Let c denote the target function, and let X and X− (for simplicity we assume we are doing binary classification) denote the positive and negative regions of X , respectively . For i ∈ 1, 2, let X i = {xj ∈ Xi : ...

We consider the question whether two queries to SAT are as powerful as one query. We show that if PNP[1] = PNP[2] then Locally either NP = coNP or NP has polynomial-size circuits. PNP = PNP[1]. p2 p2=1. p2 = UPNP[1] \RPNP[1]. PH = BPPNP[1]. Moreover we extend work of Hemaspaandra, Hemaspaandra and Hempel to show that if P p2 [1] = P p2 [2] then p2 = p2 . We also give a relativized world where P...