For a long time, the Kakeya conjecture, which involves rotating an infinitely narrow needle, kept mathematicians ...

Monash University researchers have extended Descartes’ Circle Theorem by finding a general equation for any number of tangent ...

Car dealers in the Philadelphia area say the prices of cars and repairs could go up with the Trump administration's tariffs.

Professors from NYU and the University of British Columbia have resolved the Kakeya set conjecture in three dimensions.

Masaki Kashiwara, this year’s Abel Prize winner, co-founded a new field of mathematics called algebraic analysis ...

Estimating a range can help you cut through fuzzy overthinking. Frame any problem with a best-case and worst-case scenario.

"The latest work follows years of progress that has enhanced our understanding of a complicated geometry and ... advances in the area, this resolution combines many new insights together with ...

"While building on recent advances in the area, this resolution combines many new insights together with remarkable technical mastery. For example, the authors were able to find a statement about ...

MATH-500 and GPQA Diamond, preventing data leakage. They also implemented difficulty-based response filtering using DeepScaleR-1.5B-preview, ultimately forming a 76,000-example dataset for the ...

GeometRi3d is an abstract class, which defines some common functionality, for example global tolerance property (GeometRi3d.Tolerance) used in proximity operations by other classes. Implements ...

The video also covers the concept of congruency, demonstrating how two triangles can be equal in area. It introduces ... The video uses practical examples to illustrate these concepts, emphasizing ...

Alpine wetlands are one of the most important ecosystems in the Three Rivers Source Area, China, which plays an important ... that can be selected. FIGURE 5. An example of classification rules for ...