Search results for "Abstract algebra"
showing 10 items of 452 documents
Asymmetric Allylation/Pauson-Khand Reaction: A Simple Entry to Polycyclic Amines. Application to the Synthesis of Aminosteroid Analogues
2014
Asymmetric allylation of o-iodoarylsulfinylimines has been achieved in high diastereoselectivities. The thus-obtained o-iodoarylhomoallylic sulfinamides participate in a subsequent Sonogashira coupling followed by a diastereoselective intramolecular Pauson-Khand reaction. In this way, tricyclic amines showing a unique benzo-fused indenyl backbone were obtained. The methodology has been applied to the synthesis of amino steroid analogues.
An efficient β-turn directed cyclization of simple peptidomimetics
1999
Abstract Chiral polyaza[n]para- and metacyclophanes are easily assembled starting from the appropriate bis(bromomethyl)arene and diamides obtained from aminoacids and alkylidenediamines. The corresponding ortho-derivatives could not be obtained. Molecular dynamics calculations suggest that those results can be explained through the participation of a β-turn like structure in the open chain intermediate, which is only important for para- and meta-derivatives.
Theory and Simulations of Friction between Flat Surfaces Lubricated by Submonolayers
2001
Recent simulations suggest that wearless friction between two solid surfaces can only be obtained if the two surfaces are commensurate or if they are lubricated by a film. Some simple theoretical arguments are given why the presence of a submonolayer film between two solids leads to friction. Possible implications of the symmetry of the confining walls on the tribological properties of the system are then investigated in the presence of a thin film by means of molecular dynamics simulation. Erratic stick-slip motion of the incommensurate system and oscillating friction forces for the commensurate system in the sliding regime are observed.
On Discovering Low Order Models in Biochemical Reaction Kinetics
2007
We develop a method by which a large number of differential equations representing biochemical reaction kinetics may be represented by a smaller number of differential equations. The basis of our technique is a conjecture that the high dimension equations of biochemical kinetics, which involve reaction terms of specific forms, are actually implementing a low dimension system whose behavior requires right hand sides that can not be biochemically implemented. For systems that satisfy this conjecture, we develop a simple approximation scheme based on multilinear algebra that extracts the low dimensional system from simulations of the high dimension system. We demonstrate this technique on a st…
Emergence of hierarchical networks and polysynchronous behaviour in simple adaptive systems
2011
We describe the dynamics of a simple adaptive network. The network architecture evolves to a number of disconnected components on which the dynamics is characterized by the possibility of differently synchronized nodes within the same network (polysynchronous states). These systems may have implications for the evolutionary emergence of polysynchrony and hierarchical networks in physical or biological systems modeled by adaptive networks.
Large characteristically simple sections of finite groups
2021
In this paper we prove that if G is a group for which there are k non-Frattini chief factors isomorphic to a characteristically simple group A, then G has a normal section C/R that is the direct product of k minimal normal subgroups of G/R isomorphic to A. This is a significant extension of the notion of crown for isomorphic chief factors.
Attempt to calculation of delayed neutron emission probabilities using simple statistical model considerations
1977
Delayed neutron emission probabilities,P n , have been calculated using usual nuclear statistical model considerations. The influence of the incident parameters on the calculatedP n -values is discussed. The observed systematic deviation from the experimental neutron emission probabilities may be explained by the persistence of nuclear structure effects not contained in a simple statistical model.
A systematic approach to deriving incremental type checkers
2020
Static typing can guide programmers if feedback is immediate. Therefore, all major IDEs incrementalize type checking in some way. However, prior approaches to incremental type checking are often specialized and hard to transfer to new type systems. In this paper, we propose a systematic approach for deriving incremental type checkers from textbook-style type system specifications. Our approach is based on compiling inference rules to Datalog, a carefully limited logic programming language for which incremental solvers exist. The key contribution of this paper is to discover an encoding of the infinite typing relation as a finite Datalog relation in a way that yields efficient incremental up…
Closure to “Simple Relationships for the Optimal Design of Paired Drip Laterals on Uniform Slopes” by Giorgio Baiamonte
2016
The author appreciates the interest of the discussers of the paper “Simple Relationships for the Optimal Design of Paired Drip Laterals on Uniform Slopes” and wants to express his gratitude to Joaquin Monserrat and Javier Barragan for the opportunity to discuss the issues they raised. In their discussion, they questioned the use of analytical relationships to derive the design variables that are required for the optimal design of paired sloped laterals. This paper detected the Best Manifold Position (BMP = 0.24) to design optimal paired laterals and, as the discussers mentioned, allows the methodology introduced by Baiamonte et al. (2015) to be applied. Thus, the issues they questioned and …
OPTIMUM DESIGN OF REINFORCED CONCRETE STRUCTURES UNDER VARIABLE LOADINGS
1987
Abstract This paper presents a method for optimal design of reinforced concrete (RC) structures, subjected to quasi-static variable loads and accounting for cross-sections limited ductility requirements. It consists of a very simple refinement procedure to be applied in the classical Optimal Shakedown Design, (OSD), which leads to a strengthened structure satisfying the requisite that the actual plastic relative rotations, developed at a specified set of critical sections as a result of a variable repeated loading program, do not exceed given upper limits. This strengthened design is a safe but not strictly optimal design and is obtained using the simple rule that the steel reinforcement ar…