The proof resolves a nearly 80-year-old problem known as the Duffin-Schaeffer conjecture. In doing so, it provides a final answer to a question that has preoccupied mathematicians since ancient times: ...
Originally defined as the ratio between the circumference of a circle and its diameter, pi — written as the Greek letter π — appears throughout mathematics, including in areas that are completely ...
Most people rarely deal with irrational numbers—it would be, well, irrational, as they run on forever, and representing them accurately requires an infinite amount of space. But irrational constants ...
When my students grow too dependent on their calculators, I ask them to find a number that, when multiplied by itself, gives them 2. Students quickly see that since 1² = 1 and 2² = 4, the answer has ...
Math lovers celebrate today (3/14) as Pi Day, in honor of the irrational number pi. Pi, or π, is defined as the ratio of the circumference of a circle to its diameter. Pi is an irrational number, ...
What if Pi Day, perhaps the best known mathematical holiday, was actually better celebrated in the summer? Currently falling on March 14 — 3/14, in honor of the first three digits of the infamous ...
Most people rarely deal with irrational numbers—it would be, well, irrational, as they run on forever, and representing them accurately requires an infinite amount of space. But irrational constants ...