Mathematics students face challenges with rational and irrational numbers. Understanding the principles and patterns simplifies this concept. Rational numbers can be fractions of integers. Irrational ...

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: ...

When you hear the words "rational" and "irrational," they might bring to mind the relentlessly analytical Spock in "Star Trek." If you're a mathematician, however, you probably think of ratios between ...

The ancient scholar Hippasus of Metapontum was punished with death for his discovery of irrational numbers—or at least that’s the legend. What actually happened in the fifth century B.C.E. is far from ...

When you hear the words "rational" and "irrational," they might bring to mind the relentlessly analytical Spock in "Star Trek." If you're a mathematician, however, you probably think of ratios between ...

Originally defined as the ratio between the circumference of a circle and its diameter, pi — written as the Greek letter π — ...

This all started with Pi and now I can't stop. Let me summarize what I have done so far: Pi day in the US is March 14 th. This doesn't work for non-USAians since they write the date in a reasonable ...

Making good decisions is not easy, and making the best possible (“optimal”) decisions is even harder. Instead, humans often use shortcuts and rules of thumb. From firm managers and policymakers to ...