The total area under the curve must equal 1, representing the fact that the probability of some outcome occurring within the entire range is certain. \[\int_{-\infty}^{\infty}f\left(x\right)dx=1\] ...

Having a robust enough immune system to live a longer life may come at the cost of chronic inflammation. Some immune cells undergo an inflammatory form of death that evolved to protect us from ...

This film discusses the concept of functions in mathematics, emphasizing their importance and modern formulations. It explains how to create ordered pairs from a set of numbers and illustrates how ...

Middle-aged and older adults lament that their memory is not what it used to be. Literacy, the ability to read and comprehend, and mathematical skills, the ability to calculate quickly and accurately, ...

Matthew Young joined the Rutgers-New Brunswick School of Arts and Sciences as a professor of mathematics this past academic year. The Rutgers University Board of Governors has appointed Matthew Young ...

In the late 19th century, Karl Weierstrass invented a fractal-like function that was decried as nothing less than a “deplorable evil.” In time, it would transform the foundations of mathematics.

People usually talk about the race to the bottom in artificial intelligence as a bad thing. But it’s different when you’re discussing loss functions. Loss functions are a crucial but frequently ...

Google DeepMind has triumphantly cracked an age-old mathematical mystery using a method called FunSearch. The math problem that FunSearch has solved is the famous cap set problem in pure mathematics, ...

Many of the skills, behaviors and dispositions that are important achievements in education are now understood to have critical roots in the preschool period, a conclusion that is supported by a large ...

Semaglutide, a glucagon-like peptide-1 receptor agonist, has been shown to reduce the risk of adverse cardiovascular events in patients with diabetes. Whether semaglutide can reduce cardiovascular ...