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An internal characterization of complete metric mappings (by means of Cauchy nets tied at a point) is given and a construction of the completion of a metric mapping is presented.

一般拓扑 · 数学 2020-04-07 Giorgio Nordo

This note presents an approach to studying the iterates of a mapping whose restriction to the complement of a finite set is continuous and open. The main examples to which the approach can be applied are piecewise monotone mappings defined…

动力系统 · 数学 2010-11-23 Chris Preston

This paper is simply a collection of process diagrams for further use and reference. These are diagrams about different approaches to research.

人机交互 · 计算机科学 2022-09-27 Sheelagh Carpendale

This is a chiefly expository paper on the subject of the title which, in our view, has not received a detailed treatment in the literature which is commensurate with its importance. We expect the results presented here to be useful in a…

代数几何 · 数学 2016-11-08 Alessandra Bertapelle , Cristian D. Gonzalez-Aviles

Maps have always been an essential component of autonomous driving. With the advancement of autonomous driving technology, both the representation and production process of maps have evolved substantially. The article categorizes the…

计算机视觉与模式识别 · 计算机科学 2025-09-17 Pengxin Chen , Zhipeng Luo , Xiaoqi Jiang , Zhangcai Yin , Jonathan Li

Periodically occurring accumulations of events or measured values are present in many time-dependent datasets and can be of interest for analyses. The frequency of such periodic behavior is often not known in advance, making it difficult to…

图形学 · 计算机科学 2024-01-17 Max Franke , Steffen Koch

This is a quick survey on some recent works done in the field of random maps.

Given a period map defined over a quasi-projective variety, we construct a completion with rich geometric and Hodge-theoretic meaning. This result may be regarded as an analog of Mumford's toroidal compactification for locally symmetric…

代数几何 · 数学 2025-10-20 Haohua Deng , Jacob Tsimerman

This short paper introduces a model for the specification and verification of real-time system design: timed state transition diagrams.

形式语言与自动机理论 · 计算机科学 2014-03-06 Maria Spichkova

This brief note gives a survey on results relating to existence of closed points on schemes, including an elementary topological characterization of the schemes with (at least one) closed point.

代数几何 · 数学 2017-08-23 Justin Chen

Our goal is to provide a survey of some topics in quasiconformal analysis of current interest. We try to emphasize ideas and leave proofs and technicalities aside. Several easily stated open problems are given. Most of the results are joint…

复变函数 · 数学 2007-05-23 Matti Vuorinen

We present a comprehensive survey of constructions of the real numbers (from either the rationals or the integers) in a unified fashion, thus providing an overview of most (if not all) known constructions ranging from the earliest attempts…

历史与综述 · 数学 2015-06-12 Ittay Weiss

We survey recent developments in the theory of achievement sets and present a substantial collection of open problems.

经典分析与常微分方程 · 数学 2025-12-22 Szymon Głąb , Franciszek Prus-Wiśniowski

This document is a brief summary of progress that has been made on the problems posed in the document "Twenty Open Problems in Enumeration of Matchings" (also available from this server as math.CO/9801060). NOTE: This article has now been…

组合数学 · 数学 2007-05-23 James Propp

In this paper, a survey about recent progress on problems solved using graph amalgamations is presented, along with some new results with complete proofs, and some related open problems.

组合数学 · 数学 2017-10-12 Amin Bahmanian , Chris Rodger

We describe a part of the recent developments in the theory of separately holomorphic mappings between complex analytic spaces. Our description focuses on works using the technique of holomorphic discs.

复变函数 · 数学 2009-01-15 Viet-Anh Nguyen

A systematic mapping is a way to identify, evaluate and interpret all relevant research available to a matter of particular research. One of the reasons for conducting systematic reviews is that it summarizes the existing evidence regarding…

数字图书馆 · 计算机科学 2015-04-07 Marco Santos

The paper presents a tool for the mapping of the performance of building systems on European scale for different (future) time periods. The tool is to use for users and be applicable for different building systems. Users should also be able…

计算机与社会 · 计算机科学 2015-08-25 J. M. van der Steen , A. W. M. van Schijndel

This is a survey on the ongoing development of a descriptive theory of represented spaces, which is intended as an extension of both classical and effective descriptive set theory to deal with both sets and functions between represented…

计算机科学中的逻辑 · 计算机科学 2014-08-25 Arno Pauly

Inspired by the question of whether one can create a visually informative map in which distances reflect travel-times rather than physical proximity, we examine whether it is possible to construct a meaningful travel time function between…

度量几何 · 数学 2015-07-03 Kenneth Halpern
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