On Generalization of Nguyen’s Theorem: A Short Survey of Recent Developments

2014 ◽  
pp. 183-190 ◽  
Author(s):  
Robert Fullér
Keyword(s):  
Short Survey ◽  
Recent Developments

scholarly journals Statistics with Imprecise Probabilities—A Short Survey

2021 ◽  
pp. 67-79
Author(s):  
Thomas Augustin
Keyword(s):  
Probabilistic Models ◽  
Statistical Modelling ◽  
Imprecise Probabilities ◽  
Paradigmatic Shift ◽  
Short Survey ◽  
Recent Developments ◽  
Data Imprecision

AbstractThis chapter aims at surveying and highlighting in an introductory way some challenges and big opportunities a paradigmatic shift to imprecise probabilities could induce in statistical modelling. Working with an informal understanding of imprecise probabilities, we discuss the concepts of model imprecision and data imprecision as the two main types of imprecision in statistical modelling. Then we provide a short survey of some major developments, methodological questions and applications of imprecise probabilistic models under model imprecision in the context of different inference schools and summarize some recent developments in the area of data imprecision.

scholarly journals Lorenzen and Constructive Mathematics

2021 ◽  
pp. 47-61
Author(s):  
Thierry Coquand
Keyword(s):  
Mathematical Logic ◽  
Measure Theory ◽  
Constructive Mathematics ◽  
Short Survey ◽  
Recent Developments ◽  
Constructive Algebra

Abstract The goal of this paper is to present a short survey of some of Lorenzen’s contributions to constructive mathematics, and its influence on recent developments in mathematical logic and constructive algebra. We also present some work in measure theory which uses these contributions in an essential way.

scholarly journals A Survey of Racks and Quandles: Some Recent Developments

2020 ◽  
Vol 27 (03) ◽  
pp. 509-522
Author(s):  
Mohamed Elhamdadi
Keyword(s):  
Representation Theory ◽  
Algebraic Theory ◽  
Theoretic Approach ◽  
Short Survey ◽  
Recent Developments

This short survey contains some recent developments of the algebraic theory of racks and quandles. We report on some elements of representation theory of quandles and ring theoretic approach to quandles.

Davenport's theorem in geometric discrepancy theory

2015 ◽  
Vol 11 (05) ◽  
pp. 1437-1449
Author(s):  
W. W. L. Chen
Keyword(s):  
Probability Theory ◽  
Number Theory ◽  
Group Theory ◽  
Theory Analysis ◽  
Discrepancy Theory ◽  
Short Survey ◽  
Recent Developments ◽  
Geometric Discrepancy

Davenport's theorem was established nearly a lifetime ago, but there have been some very interesting recent developments. The various proofs over the years bring in different ideas from number theory, probability theory, analysis and group theory. In this short survey, we shall not present complete proofs, but will describe instead some of these underlying ideas.

Introduction

2016 ◽  
Author(s):  
Yael Kaduri
Keyword(s):  
Contemporary Art ◽  
Raw Material ◽  
Sound Waves ◽  
Live Performance ◽  
Cultural Space ◽  
The Third ◽  
Short Survey ◽  
Recent Developments ◽  
Technological Developments ◽  
The Way

The introduction to this volume describes the rationale behind the overall structure of theHandbook, starting with the question of how music and sound have become so important in recent developments in contemporary art. It discusses three aspects, which are reflected in the division of the volume into three sections. The first is the sensorial distinction between art and music; the second is the intangible physicality of sound waves, the raw material of music; and the third is music as a product of live performance. Suggesting a short survey of historical, aesthetic, theoretical, and technological developments, the introduction shows how these three pivotal cores are also threads that run through much of the volume in many different variations. It thus suggests a conceptual map of an audiovisual cultural space, emphasizing the way it creates physical comprehension of philosophical matters that are at the heart of modern and contemporary art in general.

scholarly journals Theory and practice of optimal shape design

2008 ◽  
Author(s):  
Bijan Mohammadi ◽  
Olivier Pironneau
Keyword(s):  
Shape Optimization ◽  
Noise Reduction ◽  
Low Complexity ◽  
Optimal Shape ◽  
Theory And Practice ◽  
Aerodynamic Noise ◽  
Shape Design ◽  
Optimal Shape Design ◽  
Short Survey ◽  
Recent Developments

This paper is a short survey of some recent developments in Optimal Shape Design (OSD) for fluids. Existence, sensitivity, compatibility of discretizations as well as efficient algorithmic implementations with low complexity are critical. In this paper we will discuss some of these issues with application to shape optimization for aerodynamic noise reduction.

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