A note on the numerical evaluation of finite integrals of oscillatory functions

A method is described for the numerical evaluation of integrals of the form ∫ _?1 ¹ f(x)K(m,x)dx, wheref(x) is smooth in [?1,1], whileK(m,x) is highly oscillatory for large values ofm.     

Nitrilotriacetamide: Synthesis in Concentrated Sulfuric Acid and Stability in Water

Acid hydrolysis of N(CH₂CN)₃ leads either nitrilotriacetamide, 1, and/or 3,5-dioxopiperazineacetamide, 4, in quantitative yield. 1 slowly and cleanly converts to 3,5-dioxopiperazineacetic acid, 5, in water, although ammonium salts prevent this reaction.     

Detonation performance of nitroaromatic decorated carbon nanotubes

Structural Chemistry - In this study, density functional theory (DFT) was employed to predict thermochemical and energetic properties for single-walled carbon nanotubes (SWCNTs) decorated with one...     

A dynamic process interpretation of the sparse ERGM reference model

Exponential family random graph models (ERGMs) can be understood in terms of a set of structural biases that act on an underlying reference distribution. This distribution determines many aspects of the behavior and interpretation of the ERGM families incorporating it. One important innovation in this area has been the development of an ERGM reference model that produces realistic behavior when generalized to sparse networks of varying sizes. Here, we show that this model can be derived from a latent dynamic process in which tie formation takes place within small local settings between which individuals move. This derivation provides one possible micro-process interpretation of the sparse ERGM reference model and sheds light on the conditions under which constant mean degree scaling can emerge.     

Hölder Continuity of Solutions to the Kinematic Dynamo Equations

We study the propagation of regularity of solutions to a three dimensional system of linear parabolic PDE known as the kinematic dynamo equations. The divergence free drift velocity is assumed to be at the critical regularity level with respect to the natural scaling of the equations.     

Copper activation of boronic acids: factors affecting reactivity

The generation of nucleophiles from the combination of aryl boronic acids and catalytic amounts of copper salt allows a reactivity distinct from other organometallic species, such as organolithiums or Grignard reagents. Here we examine how the electronic and steric properties of the boronic acid affect the formation of active nucleophiles and their subsequent reactivity with iminium‐type compounds, showing that electron‐rich substrates display reduced reactivity. Copyright © 2014 John Wiley & Sons, Ltd.     

An Improved Preparation of 4,7-Phenanthrolino-5,6:5′,6′-pyrazine

An overall three step preparation of the bis-diimine bridging ligand 4,7-phenanthrolino-5,6:5′,6′-pyrazine (ppz, 1) from 2-methoxy-1,4-phenylenediamine hydrosulfate 4 is reported.