scholarly journals The functional version of the Ball inequality

2017 ◽  
Vol 145 (8) ◽  
pp. 3531-3541 ◽  
Author(s):  
Qingzhong Huang ◽  
Ai-Jun Li
Keyword(s):  
Functional Version

scholarly journals Second-order limit laws for occupation times of fractional Brownian motion

2017 ◽  
Vol 54 (2) ◽  
pp. 444-461 ◽  
Author(s):  
Fangjun Xu
Keyword(s):  
Brownian Motion ◽  
Fractional Brownian Motion ◽  
Method Of Moments ◽  
Second Order ◽  
Hurst Index ◽  
Occupation Times ◽  
Limit Laws ◽  
Additive Functionals ◽  
Finite Dimensional ◽  
Functional Version

Abstract We prove a second-order limit law for additive functionals of a d-dimensional fractional Brownian motion with Hurst index H = 1 / d, using the method of moments and extending the Kallianpur–Robbins law, and then give a functional version of this result. That is, we generalize it to the convergence of the finite-dimensional distributions for corresponding stochastic processes.

Coagmento

2011 ◽  
pp. 242-257 ◽  
Author(s):  
Chirag Shah
Keyword(s):  
Laboratory Study ◽  
Information Seeking ◽  
Participatory Design ◽  
Lessons Learned ◽  
Online Environment ◽  
Functional Version ◽  
Collaborative Information Seeking ◽  
New System

The author describes Coagmento, a system that provides integrated tools and workflow for doing collaborative information seeking in online environment. Coagmento’s inception followed a need to provide essential tools to collaborators without them having to learn an entirely new system or work in an unfamiliar environment. Here they describe how the author designed, developed, and deployed Coagmento. The design of this system was facilitated using several pilot runs and cognitive walkthroughs. A fully functional version of Coagmento was then developed and evaluated using laboratory study, and its design optimized using participatory design sessions. Finally, the author describes how they made the enhanced version of Coagmento available to wider group of users, along with issues and challenges faced. They summarize lessons learned and provide a guideline for designing and developing such collaborative information seeking systems.

A Distributed Requirements Collaboration Process

2011 ◽  
pp. 169-181
Author(s):  
Brandon Rydell ◽  
Sean D. Eby ◽  
Carl Seaton
Keyword(s):  
Objective Measure ◽  
Negotiation Process ◽  
Relative Merit ◽  
Distributed Teams ◽  
New Process ◽  
Functional Version ◽  
Collaboration Process ◽  
Work Done ◽  
Requirements Negotiation

This chapter outlines a new requirements collaboration process to address these issues. This new process is based on work done by Karl Wiegers in his paper Prioritizing Requirements (Wiegers, 1999), and is extended to include a method of proposing alternate requirements, documenting the negotiation of priority among interested parties, and a way to rationally select priority requirements based on an objective measure of their relative merit. The chapter also introduces an application prototype called the Distributed Requirements Collaboration Tool (DRCT) that was built for use by distributed teams to support the requirements negotiation process described above and also to address the issue of capturing rationale as requirements are negotiated. Lastly, the experience using the DRCT is discussed in order to identify priority requirements for a more functional version of the DRCT.

scholarly journals An Lp-Functional Busemann–Petty Centroid Inequality

2020 ◽  
Author(s):  
Julián E Haddad ◽  
Carlos Hugo Jiménez ◽  
Letícia A da Silva
Keyword(s):  
Convex Body ◽  
Mixed Volume ◽  
Functional Version

Abstract For a convex body $K\subset \mathbb{R}^n$, let $\Gamma _pK$ be its $L_p$-centroid body. The $L_p$-Busemann–Petty centroid inequality states that $\operatorname{vol}(\Gamma _pK) \geq \operatorname{vol}(K)$, with equality if and only if $K$ is an ellipsoid centered at the origin. In this work, we prove inequalities for a type of functional $L_r$-mixed volume for $1 \leq r < n$ and establish, as a consequence, a functional version of the $L_p$-Busemann–Petty centroid inequality.

scholarly journals A functional Hodrick–Prescott filter

2017 ◽  
Vol 25 (2) ◽  
Author(s):  
Boualem Djehiche ◽  
Hiba Nassar
Keyword(s):  
Hilbert Space ◽  
Linear Operator ◽  
Functional Data ◽  
Separable Hilbert Space ◽  
Underlying Distribution ◽  
Smoothing Operator ◽  
Infinite Dimensional ◽  
Optimal Smoothing ◽  
Functional Version

AbstractWe propose a functional version of the Hodrick–Prescott filter for functional data which take values in an infinite-dimensional separable Hilbert space. We further characterize the associated optimal smoothing operator when the associated linear operator is compact and the underlying distribution of the data is Gaussian.

ON A FUNCTIONAL LASALLE PRINCIPLE WITH APPLICATION TO CHAOS SYNCHRONIZATION

2009 ◽  
Vol 19 (12) ◽  
pp. 4253-4261 ◽  
Author(s):  
GUANRONG CHEN ◽  
SERGEJ ČELIKOVSKÝ ◽  
JIN ZHOU
Keyword(s):  
Numerical Simulation ◽  
Nonlinear Systems ◽  
Theoretical Result ◽  
Chaos Synchronization ◽  
Extended Version ◽  
Van Der Pol ◽  
Nonautonomous Systems ◽  
Robust Synchronization ◽  
Van Der Pol Oscillators ◽  
Functional Version

A functional version of the LaSalle invariance principle is introduced. Rather than the usual pointwise Lyapunov-like functions, this extended version of the principle uses specially constructed functionals along system trajectories. This modification enables the original principle to handle not only autonomous, but also some nonautonomous systems. The new theoretical result is used to study robust synchronization of general Liénard-type nonlinear systems. The new technique is finally applied to coupled chaotic van der Pol oscillators to achieve synchronization. Numerical simulation is included to demonstrate the effectiveness of the proposed methodology.

scholarly journals Demonstration that endoplasmic reticulum-associated degradation of glycoproteins can occur downstream of processing by endomannosidase

2011 ◽  
Vol 438 (1) ◽  
pp. 133-142 ◽  
Author(s):  
Nikolay V. Kukushkin ◽  
Dominic S. Alonzi ◽  
Raymond A. Dwek ◽  
Terry D. Butters
Keyword(s):  
Quality Control ◽  
Endoplasmic Reticulum ◽  
Chinese Hamster ◽  
Human Embryonic Kidney ◽  
Previous Evidence ◽  
Endoplasmic Reticulum Associated Degradation ◽  
Single Protein ◽  
Free Oligosaccharides ◽  
Intermediate Compartment ◽  
Functional Version

During quality control in the ER (endoplasmic reticulum), nascent glycoproteins are deglucosylated by ER glucosidases I and II. In the post-ER compartments, glycoprotein endo-α-mannosidase provides an alternative route for deglucosylation. Previous evidence suggests that endomannosidase non-selectively deglucosylates glycoproteins that escape quality control in the ER, facilitating secretion of aberrantly folded as well as normal glycoproteins. In the present study, we employed FOS (free oligosaccharides) released from degrading glycoproteins as biomarkers of ERAD (ER-associated degradation), allowing us to gain a global rather than single protein-centred view of ERAD. Glucosidase inhibition was used to discriminate between glucosidase- and endomannosidase-mediated ERAD pathways. Endomannosidase expression was manipulated in CHO (Chinese-hamster ovary)-K1 cells, naturally lacking a functional version of the enzyme, and HEK (human embryonic kidney)-293T cells. Endomannosidase was shown to decrease the levels of total FOS, suggesting decreased rates of ERAD. However, following pharmacological inhibition of ER glucosidases I and II, endomannosidase expression resulted in a partial switch between glucosylated FOS, released from ER-confined glycoproteins, to deglucosylated FOS, released from endomannosidase-processed glycoproteins transported from the Golgi/ERGIC (ER/Golgi intermediate compartment) to the ER. Using this approach, we have identified a previously unknown pathway of glycoprotein flow, undetectable by the commonly employed methods, in which secretory cargo is targeted back to the ER after being processed by endomannosidase.

ANTIMIROV AND MOSSES'S REWRITE SYSTEM REVISITED

2009 ◽  
Vol 20 (04) ◽  
pp. 669-684 ◽  
Author(s):  
MARCO ALMEIDA ◽  
NELMA MOREIRA ◽  
ROGÉRIO REIS
Keyword(s):  
Finite Automata ◽  
Functional Approach ◽  
Regular Expressions ◽  
Average Case ◽  
Deterministic Finite Automata ◽  
Preliminary Results ◽  
Functional Version ◽  
Comparative Results ◽  
Rewrite System ◽  
Extended Regular Expressions

Antimirov and Mosses proposed a rewrite system for deciding the equivalence of two (extended) regular expressions. They argued that this method could lead to a better average-case algorithm than those based on the comparison of the equivalent minimal deterministic finite automata. In this paper we present a functional approach to that method, prove its correctness, and give some experimental comparative results. Besides an improved functional version of Antimirov and Mosses's algorithm, we present an alternative one using partial derivatives. Our preliminary results lead to the conclusion that, indeed, these methods are feasible and, most of the time, faster than the classical methods.

scholarly journals Homotopy and the Kestelman–Borwein–Ditor Theorem

2011 ◽  
Vol 54 (1) ◽  
pp. 12-20 ◽  
Author(s):  
N. H. Bingham ◽  
A. J. Ostaszewski
Keyword(s):  
Functional Form ◽  
Null Sequence ◽  
Unified Approach ◽  
Large Sets ◽  
Functional Version

AbstractThe Kestelman–Borwein–Ditor Theorem, on embedding a null sequence by translation in (measure/category) “large” sets has two generalizations. Miller replaces the translated sequence by a “sequence homotopic to the identity”. The authors, in a previous paper, replace points by functions: a uniform functional null sequence replaces the null sequence, and translation receives a functional form. We give a unified approach to results of this kind. In particular, we show that (i) Miller's homotopy version follows fromthe functional version, and (ii) the pointwise instance of the functional version follows from Miller's homotopy version.

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