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A popular computer puzzle, the game of Minesweeper requires its human players to have a mix of both luck and strategy to succeed. Analyzing these aspects more formally, in our research we assessed the feasibility of a novel methodology…

Machine Learning · Computer Science 2021-06-21 Igor Q. Lordeiro , Diego B. Haddad , Douglas O. Cardoso

We discuss counterintuitive aspects of probabilities for systems of identical particles obeying quantum statistics. Quantum coins and children (two level systems) and quantum dice (many level systems) are used as examples. It is emphasized…

Quantum Physics · Physics 2009-10-31 Chi-Keung Chow , Thomas D. Cohen

We use the Brauer-Manin obstruction to strong approximation on a punctured affine cone to explain a curious property of coprime integer solutions to a homogeneous Diophantine equation.

Number Theory · Mathematics 2018-10-17 Martin Bright , Ivo Kok

Classical forgery attacks against Offset Two-round (OTR) structures require some harsh conditions, such as some plaintext and ciphertext pairs need to be known, and the success probability is not too high. To solve these problems, a quantum…

Quantum Physics · Physics 2024-05-14 Wenjie Liu , Mengting Wang , Zixian Li

We discuss several coin-weighing problems in which coins are known to be of three different weights and only a balance scale can be used. We start with the task of sorting coins when the pans of the scale can fit only one coin. We prove…

History and Overview · Mathematics 2014-09-02 Tanya Khovanova , Konstantin Knop

Automatic authentication of paper money has been targeted. Indian bank notes are taken as reference to show how a system can be developed for discriminating fake notes from genuine ones. Image processing and pattern recognition techniques…

Computer Vision and Pattern Recognition · Computer Science 2015-06-09 Ankush Roy , Biswajit Halder , Utpal Garain , David S. Doermann

We point out that the recursive formula that appears in Erickson's presentation "Fusible Numbers" is incorrect, and pose an alternate conjecture about the structure of fusible numbers. Although we are unable to solve the conjecture, we…

Combinatorics · Mathematics 2012-02-28 Junyan Xu

We consider stamps with different values (denominations) and same dimensions, and an envelope with a fixed maximum number of stamp positions. The local postage stamp problem is to find the smallest value that cannot be realized by the sum…

Data Structures and Algorithms · Computer Science 2026-01-30 Léo Colisson Palais , Jean-Guillaume Dumas , Alexis Galan , Bruno Grenet , Aude Maignan

Classification problems in security settings are usually contemplated as confrontations in which one or more adversaries try to fool a classifier to obtain a benefit. Most approaches to such adversarial classification problems have focused…

Machine Learning · Statistics 2019-09-25 Roi Naveiro , Alberto Redondo , David Ríos Insua , Fabrizio Ruggeri

By allowing users to obscure their transactions via including "mixins" (chaff coins), ring signature schemes have been widely used to protect a sender's identity of a transaction in privacy-preserving blockchain systems, like Monero and…

Cryptography and Security · Computer Science 2020-03-17 Wangze Ni , Han Wu , Peng Cheng , Lei Chen , Xuemin Lin , Lei Chen , Xin Lai , Xiao Zhang

I discuss the computational methods behind the formulation of some conjectures related to variants on Andrews' $q$-Dyson conjecture.

Combinatorics · Mathematics 2018-12-19 Andrew V. Sills

Even though a method to perfectly sign quantum messages has not been known, the arbitrated quantum signature scheme has been considered as one of good candidates. However, its forgery problem has been an obstacle to the scheme being a…

Quantum Physics · Physics 2015-01-27 Taewan Kim , Jeong Woon Choi , Nam-Su Jho , Soojoon Lee

I discuss puzzles that require thinking outside the box. I also discuss the box inside of which many people think.

General Mathematics · Mathematics 2016-05-10 Tanya Khovanova

The one-way Faraday-Michelson system is a very useful practical quantum cryptography system where Faraday mirrors(FMs) play an important role. In this paper we analyze the security of this system against imperfect FMs. We consider the…

Quantum Physics · Physics 2013-10-30 Wang Weilong , Gao Ming , Ma Zhi

Today, money laundering poses a serious threat not only to financial institutions but also to the nation. This criminal activity is becoming more and more sophisticated and seems to have moved from the clichy of drug trafficking to…

Databases · Computer Science 2016-09-06 Nhien-An Le-Khac , Sammer Markos , Tahar Kechadi

We investigate the complexity of a puzzle that turns out to be NL-complete.

Computational Complexity · Computer Science 2015-07-13 Holger Petersen

In this pedestrian approach I give my personal point of view on the various problems posed by dark matter in the universe. After a brief historical overview I discuss the various solutions stemming from high energy particle physics, and the…

Popular Physics · Physics 2021-01-26 Jean-Pierre Luminet

We discuss the objectives of automation equipped with non-trivial decision making, or creating artificial intelligence, in the financial markets and provide a possible alternative. Intelligence might be an unintended consequence of…

Computers and Society · Computer Science 2019-11-19 Ravi Kashyap

Imagine a student -- let's call him `E', and make him a "he" -- that is enrolled in Calculus 2, and who believes that to pass in maths courses he only needs to memorize methods and apply them quickly and without errors. Let's imagine that…

History and Overview · Mathematics 2026-02-19 Eduardo Ochs

We propose and construct a quantum money scheme that allows verification through classical communication with a bank. This is the first demonstration that a secure quantum money scheme exists that does not require quantum communication for…

Quantum Physics · Physics 2022-03-30 Dmytro Gavinsky