In percolation theory, researchers proved that the transition in the probability of a "giant connected component" appearing when edges are randomly retained is sharp on the supercritical side as well, for all infinite transitive graphs. This was shown for lattices in the 1980s, with Benjamini and Schramm conjecturing the generalization in 1996. The proof, by Diskin, Easo, Radhakrishnan, Sudakov, and Tassion of ETH Zurich, was published as a preprint in March 2026 and reported by Quanta Magazine on August 31.
The upper bound of the Komlós conjecture, unchanged since 1998, has been narrowed from the square root of log N to the fourth root of log N, proven by two researchers from the University of Michigan and the University of Chicago.
A survey of 1,000 American adults by Penn State University and others found that 62% said they have no or limited knowledge of statistics. Meanwhile, 90% said they would base decisions on statistics if they understood them better.
The Research Institute for Mathematical Sciences, Kyoto University, announced on August 17, 2026, that it had proven a mathematical conjecture on "pinwheel scheduling" that had remained unsolved for more than 30 years, clarifying the theoretical bounds for both the packing and covering types.
A deployable antenna for small satellites was developed using the origami 'flasher' structure. It is palm-sized when stowed, expands to 50cm square, and weighs 64 grams. It opens simply by lightly pulling its four corners.
The 67th International Mathematical Olympiad (IMO 2026) is being held in Shanghai, China from July 10 to 21. Six representatives from Nada, La Salle, and Kaisei High Schools are competing for Japan.
The IMO, where high school students from around the world compete in mathematics, has opened in Shanghai, with 6 representatives from Japan participating.
A math enthusiast resolves the 60-year-old Erdős problem through dialogue with AI; Terence Tao also participates in verification and the paper is published.
The Ministry of Internal Affairs and Communications launches a free introductory data science course, teaching a statistical way of thinking that looks not just at averages but also at "spread."
An amateur who is not a professional mathematician made skillful use of GPT-5.4 Pro to solve an Erdős problem that had been unsolved for 60 years, using a completely new method. Scientific American named this phenomenon 'Vibe Maths.' Like 'vibe coding' in programming, it is drawing attention as a new paradigm that combines intuition with AI's reasoning power to arrive at mathematical discoveries. An era has arrived in which even people without specialized training can contribute to advanced mathematical research by collaborating with AI.
OpenAI's GPT-5 generated an original proof for Erdős's planar unit-distance problem, which had been unsolved for 80 years, disproving the original conjecture. Terence Tao (Fields Medalist) praised it as 'the clearest resolution of an unsolved problem by AI.' An earlier claim that GPT-5 had 'solved 10 unsolved problems' turned out to be merely a rediscovery of existing literature, but this time it is regarded as a genuinely new mathematical achievement. It signals the arrival of an era in which AI collaborates with human mathematicians to discover new theorems.
Behind the AI boom lies a mass of unglamorous mathematics (probability, statistics, and linear algebra). Machine learning is the task of 'finding the function that best fits a large amount of data,' and how good that fit is depends on the mathematics of 'how you measure error.' What's especially important in AI for Science is expressing 'how certain something is (uncertainty)' as a number. In medical and materials research, honestly estimating the possibility of being wrong is more of a lifeline than simply being right. This story shows how mathematics serves as the 'guardian that makes AI trustworthy.'
Statistics is especially recommended for people who feel 'what's the point of math?' Textbook tools like mean, variance, and correlation become direct weapons for answering questions such as 'Is this town really aging?' or 'How much does a price increase strain household budgets?' What matters more than calculation itself is 'how you frame the question' and understanding that correlation is not causation. Ice cream sales and drowning accidents are correlated, but the cause behind both is 'temperature'—seeing through this kind of trap is the skill that keeps you from being misled by data. This is a topic that lets you feel how high school math connects directly to society.
According to a tally by Teikoku Databank, the number of food items with confirmed price increases for 2026 reached 9,361 for the January-October period, putting the annual total on track to exceed 10,000 items for the fifth consecutive year, possibly by June. The Ministry of Internal Affairs and Communications' Consumer Price Index (CPI), with 2020 as the base of 100, stood at 113.0, up 1.4% from the same month a year earlier. An example for learning how to read statistics.
The online data science course offered by the Statistics Bureau of Japan on the gacco platform relaunches on June 11, 2026. It allows learners to systematically study everything from basic statistics to data analysis methods for free. A learning opportunity designed with connections to the 'Data Analysis' unit in high school Mathematics I and the AI and data science unit of the next course of study guidelines.
A naphtha shortage caused by worsening conditions in the Middle East has driven a sharp rise in food packaging material costs, with a combined 3,347 items - 1,078 in June and 2,269 in July - expected to see price increases. The impact extends broadly to processed foods, bread, and more. An example for learning to visualize time-series data with bar and line graphs and to read totals and breakdowns.
Teikoku Databank's tally of 195 major food companies revealed that 1,078 food and beverage items will see price increases in June 2026. This is a sharp surge of roughly 13 times the 84 items in April; by category, seasonings (450 items) were the most numerous, followed by processed foods (304 items). A practical teaching example for learning frequency distributions, aggregation, and month-on-month rate of change.
The Cabinet Office's first preliminary estimate of real GDP for the January-March 2026 quarter showed growth of +0.5% quarter-on-quarter (+2.1% annualized), marking positive growth for a second consecutive quarter. Private consumption, capital investment, and exports all increased. A practical example for cultivating mathematical literacy on concepts such as 'quarter-on-quarter change,' 'annualized (compound) conversion,' and 'how to read quarterly statistics.'
前期比+0.5% → (1.005)^4-1 ≈ +2.1%
The technology behind the news
Brute-Forcing About 500,000 Variants Through Machine Learning Revealed 'Start Signals' in About 60% of Human Genes