During the last 40 years, simplicial partitioning has shown itself to be highly useful, including in the field of Nonlinear Optimisation. In this article, we consider results on the exhaustivity of simplicial partitioning schemes. We consider conjectures on this exhaustivity which seem at first glance to be true (two of which have been stated as true in published articles). However, we will pro...

Let x ∈ [0, 1). In this paper we find the rate at which knowledge about the partition elements x lies in for one sequence of partitions determines the partition elements it lies in for another sequence of partitions. This rate depends on the entropy of these partitions and the geometry of their shapes, and gives a two-dimensional version of Lochs’ Theorem. Date: November 15, 2004. 1991 Mathemat...

We study the parametrized complexity of the Partition into Triangles problem. For this problem a (simple) graph with 3n vertices is given and the question is whether it is possible to cover its vertices with n triangles (complete graphs on 3 vertices). We prove that there is an FPT algorithm that decides the Partition into Triangles problem and that the existence of a polynomial size kernel is ...

The aim of this study is the development of tools dedistage, although commonly overlooked (Hammond and Verbyla, 1996). Evaluating a partition generally consists cated to fuzzy partition evaluation in the field of satellite image classification. While a traditional crisp partition of comparing it with a control partition and measuring only provides qualitative information, a fuzzy partition rept...

an open-label, single-dose, randomized, 2-way crossover study was conducted in fasted healthy iranian male volunteers. eligible participants randomly assigned in a 1:1 ratio to be given one tablet of the test or reference formulation, followed by a 2-week washout period and administration of the exchange formulation. a quick and susceptible liquid chromatography–tandem mass spectrometry (lc-ms)...

There are several approaches for handling multiclass classification. Aside from one-against-one (OAO) and one-against-all (OAA), hierarchical classification technique is also commonly used. A binary classification tree is a hierarchical classification structure that breaks down a k-class problem into binary sub-problems, each solved by a binary classifier. In each node, a set of classes is divi...