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Paul Erdos claimed that mathematics is not yet ready to settle the 3x+1 conjecture. I agree, but very soon it will be! With the exponential growth of computer-generated mathematics, we (or rather our silicon brethrern) would have a shot at…

Combinatorics · Mathematics 2009-03-25 Doron Zeilberger

This is an English translation of Euler's 1750 paper "De numeris amicabilibus" (E152), the most substantial of his three works with this name. In it, he expounds at great length the ad hoc methods he has developed to search for pairs of…

History and Overview · Mathematics 2025-09-08 Leonhard Euler , Jonathan David Evans

Parody is a figurative device used for mimicking entities for comedic or critical purposes. Parody is intentionally humorous and often involves sarcasm. This paper explores jointly modelling these figurative tropes with the goal of…

Computation and Language · Computer Science 2022-05-09 Xiao Ao , Danae Sánchez Villegas , Daniel Preoţiuc-Pietro , Nikolaos Aletras

I am presenting a first-ever scientific collection of short sayings on probability and statistics expressed by most various men of science, many classics included, from antiquity to Kepler to our time. Quite understandably, the reader will…

History and Overview · Mathematics 2021-07-07 Oscar Sheynin

Irony is a ubiquitous figurative language in daily communication. Previously, many researchers have approached irony from linguistic, cognitive science, and computational aspects. Recently, some progress have been witnessed in automatic…

Computation and Language · Computer Science 2022-09-13 Qingcheng Zeng , An-Ran Li

Becoming a (super) hero is almost every kid's dream. During their sheltered childhood, they do whatever it takes to grow up to be one. Work hard, play hard -- all day long. But as they're getting older, distractions are more and more likely…

Computer Vision and Pattern Recognition · Computer Science 2023-04-04 Maximilian Weiherer , Bernhard Egger

This is an extended version of my 2018 Heinemann prize lecture describing the work for which I got the prize. The citation is very broad so this describes virtually all my work prior to 1995 and some afterwards. It discusses work in…

Mathematical Physics · Physics 2024-06-19 Barry Simon

This paper is devoted to present the Mathematics Grammar Library, a system for multilingual mathematical text processing. We explain the context in which it originated, its current design and functionality and the current development goals.…

Mathematical Software · Computer Science 2012-02-23 Jordi Saludes , Sebastian Xambó

This article, dedicated, with admiration to Reuben Hersh, for his forthcoming 90th birthday, argues that mathematics today is not yet a science, but that it is high time that it should become one.

History and Overview · Mathematics 2017-04-20 Doron Zeilberger

We encounter mathematical problems in various forms in our lives, thus making mathematical thinking an important human ability. In this paper, we present Bublz!, a simple, click-driven game for children to engage in and develop mathematical…

Human-Computer Interaction · Computer Science 2015-09-01 Dhruv Chand , Karthik Gopalakrishnan , Nisha KK , Mudit Sinha , Shreya Sriram

The first part (page 1 - 7) of this article presents the currently known examples of 4-regular matchstick graphs with 63 - 70 vertices. The second part (page 8 - 15) presents the currently known examples of $(2;4)$-regular matchstick graphs…

Combinatorics · Mathematics 2021-10-14 Mike Winkler

Computer model of a "sense of humour" suggested previously [arXiv:0711.2058, 0711.2061, 0711.2270] is raised to the level of a realistic algorithm.

Computation and Language · Computer Science 2007-11-27 I. M. Suslov

The goal of this article is to introduce some beautiful known riddles in intuitive topology; hoping to make at least some fun for the reader.

General Topology · Mathematics 2010-05-21 Ruhollah Tavakoli

Throughout history, recreational mathematics has always played a prominent role in advancing research. Following in this tradition, in this paper we extend some recent work with crazy sequential representations of numbers- equations made of…

History and Overview · Mathematics 2018-10-12 Tim Wylie

Writing assignments in any mathematics course always present several challenges, particularly in lower-level classes where the students are not expecting to write more than a few words at a time. Developed based on strategies from several…

History and Overview · Mathematics 2019-05-21 Alexander Halperin , Colton Magnant , Zhuojun Magnant

Math is the backbone of any field. Still its a night mare for many. Recent survey proves that many students become dropouts from their higher education due to math courses. ICT is an enchanted word in the contemporary educational…

Computers and Society · Computer Science 2015-04-09 R. D. Balaji , V. Veeramani , Malathi Balaji

In this essay, I argue that mathematics is a natural science---just like physics, chemistry, or biology---and that this can explain the alleged "unreasonable" effectiveness of mathematics in the physical sciences. The main challenge for…

History and Philosophy of Physics · Physics 2016-08-05 M. S. Leifer

We present four open conjectures in graph theory generated by the automated conjecturing system \texttt{TxGraffiti}. Each conjecture is concise, grounded in natural graph invariants, and empirically validated across hundreds of graphs.…

Discrete Mathematics · Computer Science 2025-07-25 Randy Davila , Boris Brimkov , Ryan Pepper

Sarcasm can be defined as saying or writing the opposite of what one truly wants to express, usually to insult, irritate, or amuse someone. Because of the obscure nature of sarcasm in textual data, detecting it is difficult and of great…

Computation and Language · Computer Science 2022-09-21 Faria Binte Kader , Nafisa Hossain Nujat , Tasmia Binte Sogir , Mohsinul Kabir , Hasan Mahmud , Kamrul Hasan

Floating point arithmetic allows us to use a finite machine, the digital computer, to reach conclusions about models based on continuous mathematics. In this article we work in the other direction, that is, we present examples in which…

Numerical Analysis · Mathematics 2017-10-05 Walter F. Mascarenhas
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