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In this paper we investigate the properties of function spaces using the selection principles.

General Topology · Mathematics 2017-10-25 Alexander V. Osipov

The purpose of this manuscript is to gather together a large amount of source material pertaining to women in mathematics, from studies of girls in elementary school through data on females winning prizes for mathematical research. Along…

History and Overview · Mathematics 2015-02-25 Greg Martin

We survey some of the major open problems involving selection principles, diagonalizations, and covering properties in topology and infinite combinatorics. Background details, definitions and motivations are also provided.

General Topology · Mathematics 2010-11-02 Boaz Tsaban

This work introduces a novel R package for concise, informative summaries of machine learning models. We take inspiration from the summary function for (generalized) linear models in R, but extend it in several directions: First, our…

Machine Learning · Computer Science 2024-04-29 Susanne Dandl , Marc Becker , Bernd Bischl , Giuseppe Casalicchio , Ludwig Bothmann

A symmetric version of the well-known SPM model for sandpiles is introduced. We prove that the new model has fixed point dynamics. Although there might be several fixed points, a precise description of the fixed points is given. Moreover,…

Computational Complexity · Computer Science 2016-08-16 Enrico Formenti , Benoît Masson , Theophilos Pisokas

Shortlisting is the process of selecting a subset of alternatives from a larger pool for further consideration or final decision-making. It is widely applied in social choice and multi-agent system scenarios. The growing demand for…

Computer Science and Game Theory · Computer Science 2026-01-30 Edith Elkind , Qishen Han , Lirong Xia

Mathematical software systems are becoming more and more important in pure and applied mathematics in order to deal with the complexity and scalability issues inherent in mathematics. In the last decades we have seen a cambric explosion of…

Mathematical Software · Computer Science 2020-02-13 Katja Bercic , Jacques Carette , William M. Farmer , Michael Kohlhase , Dennis Müller , Florian Rabe , Yasmine Sharoda

We aim to conduct a systematic mapping in the area of testing ML programs. We identify, analyze and classify the existing literature to provide an overview of the area. We followed well-established guidelines of systematic mapping to…

Machine Learning · Computer Science 2019-07-23 Salman Sherin , Muhammad Uzair khan , Muhammad Zohaib Iqbal

A number of topics in analysis are discussed, with emphasis on basic principles. There is some overlap with "Elements of linear and real analysis" (arXiv:math/0108030), with numerous changes in content and presentation since then.

Classical Analysis and ODEs · Mathematics 2011-11-22 Stephen Semmes

MFPS conferences are dedicated to the areas of mathematics, logic, and computer science that are related to models of computation in general, and to semantics of programming languages in particular. This is a forum where researchers in…

Logic in Computer Science · Computer Science 2021-12-28 Ana Sokolova

This article of mathematical education reflects author's experience with job applications and teaching methods and procedures to employ in the American Higher Education. It is organized as a standard questionnaire.

General Mathematics · Mathematics 2007-05-23 Florentin Smarandache

We build on the stability-preserving school choice model introduced and studied recently in [MV18]. We settle several of their open problems and we define and solve a couple of new ones.

Computer Science and Game Theory · Computer Science 2019-07-02 Karthik Gajulapalli , James A. Liu , Vijay V. Vazirani

Current prescriptions for spreadsheet style specify modular separation of data, calcu1ation and output, based on the notion that writing a spreadsheet is like writing a computer program. Instead of a computer programming style, this article…

Human-Computer Interaction · Computer Science 2008-07-22 John F. Raffensperger

In this paper we provide an exhaustive survey of the current state of the mathematics of filtration enlargement and an interpretation of the key results of the literature from the viewpoint of mathematical finance. The emphasis is on…

Mathematical Finance · Quantitative Finance 2023-03-08 Karen Grigorian , Robert A. Jarrow

This paper presents a comprehensive survey of various established mathematical models pertaining to Somitogenesis, a biological process. The study begins by revisiting and replicating the findings from prominent research papers in this…

Dynamical Systems · Mathematics 2023-10-09 Hanyu Song

Paper erroneously re-submitted as duplicte. Readers should look at math-ph/9909004.

Quantum Physics · Physics 2007-05-23 Gavriel Segre

Using SCM higher mathematics course allows you to: more clearly understandable apply theoretical material; deprive students of routine calculations; provide multilevel learning process, and therefore enhances cognitive interest and most…

Physics Education · Physics 2018-12-04 Kateryna Slovak , Maiia Popel

This survey presents some historical background and recent developments in the area of selections for set-valued mappings along with several open questions. It was written with the hope that the presented material may pique an interest in…

General Topology · Mathematics 2018-10-16 Valentin Gutev

Instruction selection is one of three optimisation problems involved in the code generator backend of a compiler. The instruction selector is responsible of transforming an input program from its target-independent representation into a…

Programming Languages · Computer Science 2013-10-08 Gabriel S. Hjort Blindell

This chapter provides a hands-on tutorial on the important technique known as self-reducibility. Through a series of "Challenge Problems" that are theorems that the reader will---after being given definitions and tools---try to prove, the…

Computational Complexity · Computer Science 2019-03-18 Lane A. Hemaspaandra