Problem Solving

Classical Analysis and ODEs The Quest for Extremal Values in Mathematics

Unraveling extremal problems in positive definite functions and locally compact Abelian groups.

Elena E. Berdysheva, Mita D. Ramabulana, Szilárd Gy. Révész

Apr 19, 2025 ― 7 min read

Analysis of PDEs Demystifying Mathematical Solutions

A clear guide to understanding solutions in mathematics.

Hussein Cheikh-Ali, Bruno Premoselli

Apr 16, 2025 ― 6 min read

Numerical Analysis Understanding Trefftz-Like Methods for Problem Solving

Learn how Trefftz-like methods simplify complex mathematical problems.

Philip L. Lederer, Christoph Lehrenfeld, Paul Stocker

Apr 15, 2025 ― 4 min read

Geometric Topology Fitting Squares into Curves: A Mathematical Quest

Can a square perfectly fit on a round surface? Discover the intriguing challenges.

Ali Naseri Sadr

Apr 14, 2025 ― 6 min read

Artificial Intelligence Boosting AI Reasoning with Chain-of-Thought

Explore how Chain-of-Thought helps AI models reason better.

Hao Yang, Qianghua Zhao, Lei Li

Apr 9, 2025 ― 6 min read

Computation and Language The Power of Teamwork in AI Agents

Discover how AI agents collaborate to tackle complex problems effectively.

Raphael Shu, Nilaksh Das, Michelle Yuan

Apr 8, 2025 ― 5 min read

Analysis of PDEs Simplifying Complex Functions: The Art of Relaxation

Discover how relaxation techniques simplify complex mathematical functions.

Valeria Chiadò Piat, Virginia De Cicco, Anderson Melchor Hernandez

Apr 6, 2025 ― 6 min read

Combinatorics The Quest for the Popular Toy

Mathematicians explore the mystery of union-closed set families and their beloved toys.

Shagnik Das, Saintan Wu

Apr 6, 2025 ― 7 min read

Computational Geometry Henry Dudeney's Timeless Triangle Challenge

Explore the fascinating world of Dudeney's triangle and square puzzle.

Erik D. Demaine, Tonan Kamata, Ryuhei Uehara

Apr 5, 2025 ― 6 min read

Analysis of PDEs The Search for Life in Degenerate Equations

Exploring non-trivial solutions in degenerate elliptic equations.

Kaushik Bal, Sanjit Biswas

Mar 29, 2025 ― 8 min read

Artificial Intelligence Revolutionizing Automated Planning with Unified-Planning

Discover how new tools are simplifying automated planning in technology.

Carla Davesa Sureda, Joan Espasa Arxer, Ian Miguel

Mar 28, 2025 ― 6 min read

Algebraic Geometry Ten Points on a Quadric Surface: A Geometry Quest

Explore the challenge of fitting ten points on a quadric surface.

Will Traves

Mar 27, 2025 ― 6 min read

Optimization and Control Tackling Nonsmooth Optimization: A New Approach

Discover a fresh method for managing tricky optimization challenges.

Juan Guillermo Garrido, Pedro Pérez-Aros, Emilio Vilches

Mar 26, 2025 ― 6 min read

Machine Learning ConfigX: Streamlining Black-Box Optimization

ConfigX simplifies configuring evolutionary algorithms for diverse problem-solving tasks.

Hongshu Guo, Zeyuan Ma, Jiacheng Chen

Mar 24, 2025 ― 5 min read

Combinatorics The Secrets of Edge-Graceful Labeling in Graphs

Discover the fascinating world of edge-graceful labeling in graph theory.

Aaron D. C. Angel, John Rafael M. Antalan, John Loureynz F. Gamurot

Mar 15, 2025 ― 5 min read

Computation and Language Revolutionizing Reasoning: The Forest-of-Thought Framework

FoT enhances reasoning in large language models through diverse problem-solving paths.

Zhenni Bi, Kai Han, Chuanjian Liu

Mar 14, 2025 ― 7 min read

Computational Complexity Understanding Total Functional NP: A Deep Dive

Explore the fascinating world of TFNP and its problem-solving framework.

Neil Thapen

Mar 10, 2025 ― 7 min read

Logic Decoding Evidence and Truth in Logic

Explore how logic helps us analyze evidence and truth effectively.

Walter Carnielli, Lorenzzo Frade, Abilio Rodrigues

Mar 9, 2025 ― 6 min read

Artificial Intelligence Unlocking the Magic of Aggregates in ASP

Discover how aggregates transform problem-solving in programming.

Jorge Fandinno, Zachary Hansen

Mar 9, 2025 ― 7 min read

Algebraic Topology Decoding the Last Kervaire Invariant Problem

Recent advancements shed light on a long-standing math mystery.

Weinan Lin, Guozhen Wang, Zhouli Xu

Mar 6, 2025 ― 6 min read

Computation and Language Can AI Outsmart Students in Math Puzzles?

Researchers compare AI models and students on combinatorial problem-solving skills.

Andrii Nikolaiev, Yiannos Stathopoulos, Simone Teufel

Mar 2, 2025 ― 6 min read

Combinatorics The Mystery of Unit-Distance Graphs

Discover the quest to maximize connections in unit-distance graphs.

Boris Alexeev, Dustin G. Mixon, Hans Parshall

Mar 1, 2025 ― 5 min read

Neural and Evolutionary Computing New Insights on Randomized Search Heuristics

Researchers reveal how mutation strategies affect algorithm performance in problem-solving.

Benjamin Doerr, Martin S. Krejca, Günter Rudolph

Mar 1, 2025 ― 6 min read

Classical Analysis and ODEs Simplifying Stein's Spherical Maximal Operator

Breaking down complex math concepts with simple ideas and geometry.

Jonathan Hickman, Ajša Jančar

Feb 27, 2025 ― 6 min read

Computation and Language Boosting AI Reasoning with Hints

Learn how hints can improve AI reasoning and problem-solving skills.

Soumyasundar Pal, Didier Chételat, Yingxue Zhang

Feb 26, 2025 ― 6 min read

Discrete Mathematics Mastering Mixed Linear Layouts in Graphs

Learn how to organize graph connections using stacks, queues, and thick patterns.

Deborah Haun, Laura Merker, Sergey Pupyrev

Feb 24, 2025 ― 4 min read

Logic in Computer Science Cracking the Code of Quantified Formulas

A look into the world of quantified formulas and their satisfiability.

Krishnendu Chatterjee, Ehsan Kafshdar Goharshady, Mehrdad Karrabi

Feb 21, 2025 ― 4 min read

Optimization and Control Quick Solutions for Nonlinear Integer Programs

Discover how MAPLE speeds up solving nonlinear integer programs.

Wenbo Liu, Akang Wang, Wenguo Yang

Feb 21, 2025 ― 5 min read

Combinatorics Cleaning Up Graphs: Patterns and Strategies

Learn how mathematicians tackle patterns in graphs effectively.

V. Gladkova

Feb 19, 2025 ― 7 min read

Analysis of PDEs Bake Your Way Through Non-Autonomous Functionals

Discover the sweet journey of understanding non-autonomous functionals in a fun way.

Lukas Fussangel, Buddhika Priyasad, Paul Stephan

Feb 18, 2025 ― 5 min read

Number Theory Lemmas: The Building Blocks of Mathematics

Explore how lemmas shape mathematical proofs and lead to big discoveries.

Golo Wolff

Feb 18, 2025 ― 7 min read

Optimization and Control Mastering the Knapsack Problem: A Simple Guide

Learn how to optimize your packing with the knapsack problem.

Christopher Hojny, Cédric Roy

Feb 17, 2025 ― 7 min read

Artificial Intelligence Simplifying Reasoning with Conditional Independence

Learn how conditional independence makes complex reasoning easier in knowledge representation.

Jesse Heyninck

Feb 16, 2025 ― 7 min read

Artificial Intelligence Untangling Unsatisfiable Constraints: The MUS Approach

Learn how Minimal Unsatisfiable Subsets can simplify problem-solving in computer science.

Ignace Bleukx, Hélène Verhaeghe, Bart Bogaerts

Feb 16, 2025 ― 7 min read

Logic in Computer Science Backward Thinking: The Logic of Reasoning

Learn how reductive logic aids everyday problem-solving and reasoning.

Alexander V. Gheorghiu, David J. Pym

Feb 15, 2025 ― 6 min read

Computational Complexity The Hidden Complexity of Game Boy Classics

Exploring the tough puzzles in beloved Game Boy games.

Hayder Tirmazi, Ali Tirmazi, Tien Phuoc Tran

Feb 14, 2025 ― 5 min read

Optimization and Control Choosing Wisely: A Guide to Efficient Decision-Making

Learn how to make smarter choices for better outcomes.

Anas Mifrani

Feb 14, 2025 ― 6 min read

Software Engineering Tree-of-Code: A New Way to Solve Problems

Discover how Tree-of-Code helps machines solve complex problems efficiently.

Ziyi Ni, Yifan Li, Ning Yang

Feb 13, 2025 ― 4 min read

Artificial Intelligence GenCon: A New Approach to Constraint Modeling

Discover how GenCon innovates constraint programming for varied problem-solving.

Dimos Tsouros, Senne Berden, Steven Prestwich

Feb 12, 2025 ― 8 min read

Analysis of PDEs Unpacking the Brezis-Nirenberg Problem

A look into unique solutions in mathematical functions and their symmetry.

Naoki Shioji, Satoshi Tanaka, Kohtaro Watanabe

Feb 12, 2025 ― 6 min read

Latest Articles for Problem Solving