Making life simpler

Making simple proofs simpler

An open partition p [Cod09a, Cod09b] of a tree T is a partition of the vertices of T with the property that, for each block B of p, the upset of B is a union of blocks of p. This paper deals with the number, NP(n), of open partitions of the tree, Vn, made of two chains with n points each, that share the root. We prove that the number of such partitions is given by the formula NPn = k=1 n  j...

A Simpler Origin of Life

Making complexity simpler: multivariability and metastability in the brain.

This article provides a retrospective, current, and prospective overview on developments in brain research and neuroscience. Both theoretical and empirical studies are considered, with emphasis in the concept of multivariability and metastability in the brain. In this new view on the human brain, the potential multivariability of the neuronal networks appears to be far from continuous in time, ...

A simpler route for making nitrogen-alkene rings. [corrected].

, 33 (2014); 343 Science Yunus E. Türkmen and Varinder K. Aggarwal A Simpler Route for Making Nitrogen-Alkene Rings This copy is for your personal, non-commercial use only. clicking here. colleagues, clients, or customers by , you can order high-quality copies for your If you wish to distribute this article to others here. following the guidelines can be obtained by Permission to republish or ...

Newer Insulins: Making Early Insulin Initiation Safer and Simpler

315 Introduction In recent times, there have been two striking developments in the area of insulin therapy. On the therapy front, insulin therapy especially in type 2 diabetes has become a topic frequently reviewed in literature (Marre, 2000; Korytkowski, 2000). These reviews discuss the role of early insulin initiation in the light of the growing burden of type 2 diabetes coupled with the need...