Find an equation of the set of all points \((x,y)\) that satisfy this condition: The distance from \((x,y)\) to \((5,0)\) is exactly half the distance from \((x,y)\) to the line \(x=-5\text{.}\) ...

In 1843, William Rowan Hamilton had a four-dimensional flash of insight that still shapes our three-dimensional world.

The overlap between sets is called the intersection. The notation for the intersection of set A and set B is A∩B. The intersection contains elements that are in both set A and set B. Image ...

While it’s not an exhaustive list, these five equations all summarize something brand new — whether it be a new relationship between things, or just a new way of looking at the world. And once set ...

Although these restrictions sound severe, the Bernoulli equation is very useful, partly because it is very simple to use and partly because it can give great insight into the balance between pressure, ...

In the social media age, there is little doubt about who is the star of the animal kingdom. Cats rule the screens just as ...

The problem is when you get a small number, it often comes back in scientific notation ... you can set up some pretty interesting equations and solve them. If you don’t understand the math ...

“The overall program is inching closer to Nima’s long-term dream of space-time and quantum mechanics emerging from a new set ...

Hamilton was mightily impressed by this connection between complex numbers and geometry, and set about trying ... also developed a compact notation to make his equations concise and elegant.

The best rummage sale purchase I ever made was a piece of hardware that used Reverse Polish Notation ... for a trifling amount of money. It had a set of corroded batteries that had damaged ...