On multiplicative representations of operator-valued functions of bounded form

1992 ◽  
Vol 58 (6) ◽  
pp. 569-576
Author(s):  
Yu. P. Ginzburg ◽  
L. M. Zemskov
Keyword(s):  
Bounded Form

Infinite substructure lattices of models of Peano Arithmetic

2010 ◽  
Vol 75 (4) ◽  
pp. 1366-1382
Author(s):  
James H. Schmerl
Keyword(s):  
Large Class ◽  
Peano Arithmetic ◽  
Distributive Lattices ◽  
Elementary Extension ◽  
Bounded Lattice ◽  
Nonstandard Model ◽  
Finite Lattices ◽  
Bounded Form

AbstractBounded lattices (that is lattices that are both lower bounded and upper bounded) form a large class of lattices that include all distributive lattices, many nondistributive finite lattices such as the pentagon lattice N5. and all lattices in any variety generated by a finite bounded lattice. Extending a theorem of Paris for distributive lattices, we prove that if L is an ℵ0-algebraic bounded lattice, then every countable nonstandard model of Peano Arithmetic has a cofinal elementary extension such that the interstructure lattice Lt(/) is isomorphic to L.

scholarly journals Evaluation of supercritical plant extracts on volatile and non volatile biologically active lipophil components

2001 ◽  
Vol 7 (2) ◽  
Author(s):  
É. Lemberkovics ◽  
Á. Kéry ◽  
B. Simándi ◽  
T. Sz. Kristó ◽  
A. Kakasy ◽  
...  
Keyword(s):  
Volatile Compounds ◽  
Steam Distillation ◽  
Sesquiterpene Lactones ◽  
Biologically Active ◽  
Solvent Fractionation ◽  
Salvia Fruticosa ◽  
Soxhlet Apparatus ◽  
Common Dandelion ◽  
Two Stages ◽  
Bounded Form

Authors dealt more than ten years with the analysis of supercritical extracts. For extraction (SFE) carbon dioxide was used as supercritical solvent. Fractionation of extracts was carried out by releasing the separations pressure at two stages. The extracts were collected as separate samples successively in time. The traditional extractions were carried out with steam distillation or by using n-hexane and ethanol in Soxhlet apparatus. For the analysis of volatile compounds GC, GC-MS; of non volatile compounds TLC-densitometry and spectroscopic methods were used. The following general characteristics were established comparing the composition of steam distillated oils with that of volatile SFE fractions. The SFE fractions were richer in monoterpene-esters and poorer in alcohols than the essential oils prepared by traditional way (clary sage, lavandel). Regarding the distributi,n of the monoterpene and sesquiterpene compounds, the SFE fractions contained sesquiterpene hydrocarbon in higher percentage than the distillated oils (e.g. 13-caryophyllene in Salvia fruticosa, (3-caryophyllene, y­muurolene, y-cadinene in Ochnum basilicum). Further the proportion of sesquiterpenes increased in SFE fractions collected successively in time.Significant difference was remarkable in respect of the optical rotationability of lovage oil and SFE fraction which was probably caused by the different ratio between the two ligustilid enantiomers. It was verified in some cases that a part of mono- and sesquiterpenes were present originally in a bounded form (glycosides) in plants. Therefore they appeared in essential oil fractions only after previous acidic treatment (Thymus, Origanum species). During the supercritical extraction the azulenogene sesquiterpene lactones did not transform to azulenes (in chamomile, yarrow), but the non volatile SFE fractions of some Asteraceae plant contained sesquiterpene--lacton of unchanged structure in high quantity (e.g. cnicin in blessed thistle, parthenolide in feverfew). Authors obtained also SFE fractions which were rich in triterpenoids and phytosterols (marigold, common dandelion).  

scholarly journals SET MAPPING REFLECTION

2005 ◽  
Vol 05 (01) ◽  
pp. 87-97 ◽  
Author(s):  
JUSTIN TATCH MOORE
Keyword(s):  
Reflection Principle ◽  
Axiom Of Choice ◽  
Proper Forcing Axiom ◽  
Proper Forcing ◽  
The Axiom Of Choice ◽  
Bounded Form ◽  
Forcing Axiom

In this note we will discuss a new reflection principle which follows from the Proper Forcing Axiom. The immediate purpose will be to prove that the bounded form of the Proper Forcing Axiom implies both that 2ω = ω2 and that [Formula: see text] satisfies the Axiom of Choice. It will also be demonstrated that this reflection principle implies that □(κ) fails for all regular κ > ω1.

scholarly journals Towards Generic Simulation for Demanding Stochastic Processes

2021 ◽  
Author(s):  
Demetris Koutsoyiannis ◽  
Panayiotis Dimitriadis
Keyword(s):  
Stochastic Processes ◽  
White Noise ◽  
Marginal Distribution ◽  
Moving Average ◽  
Gaussian White Noise ◽  
Simulation Method ◽  
Average Scheme ◽  
Non Gaussian ◽  
Generalized Time ◽  
Bounded Form

We outline and test a new methodology for genuine simulation of stochastic processes with any dependence and any marginal distribution. We reproduce time dependence with a generalized, time symmetric or asymmetric, moving-average scheme. This implements linear filtering of non-Gaussian white noise, with the weights of the filter determined by analytical equations in terms of the autocovariance of the process. We approximate the marginal distribution of the process, irrespective of its type, using a number of its cumulants, which in turn determine the cumulants of white noise in a manner that can readily support the generation of random numbers from that approximation, so that it be applicable for stochastic simulation. The simulation method is genuine as it uses the process of interest directly without any transformation (e.g. normalization). We illustrate the method in a number of synthetic and real-world applications with either persistence or antipersistence, and with non-Gaussian marginal distributions that are bounded, thus making the problem more demanding. These include distributions bounded from both sides, such as uniform, and bounded form below, such as exponential and Pareto, possibly having a discontinuity at the origin (intermittence). All examples studied show the satisfactory performance of the method.

scholarly journals Bounded interdisciplinarity: critical interdisciplinary perspectives on context and evidence in behavioural public policies

2019 ◽  
pp. 1-27 ◽  
Author(s):  
JORAM FEITSMA ◽  
MARK WHITEHEAD
Keyword(s):  
Social Sciences ◽  
Public Policy ◽  
Policy Process ◽  
Complex Problem ◽  
Neoclassical Economics ◽  
Complex Problem Solving ◽  
Behavioural Science ◽  
Global Policy ◽  
Policy Practice ◽  
Bounded Form

Abstract A behavioural public policy movement has flourished within the global policy realm. While this movement has been deemed interdisciplinary, incorporating behavioural science theories and methods in a neoclassical economics-governed policy process, this paper analyses the bounded form of interdisciplinarity that characterizes it. We claim that an engagement is missing with the broader sweep of social sciences, which share similar concerns but deploy different analytical perspectives from those of behavioural public policy. Focusing on two central concepts (context and evidence), we aim to show how behavioural public policy's bounded interdisciplinarity implies constrained understandings of context and evidence, thereby limiting its complex problem-solving abilities. At the same time, we highlight some alternative examples of behavioural public policy practice that do explore new critical interdisciplinary horizons.

Sign in / Sign up

Export Citation Format

Share Document