Modeling how cars deform in a crash, how spacecraft respond to extreme environments, or how bridges resist stress could be made thousands of times faster thanks to new artificial intelligence that enables personal computers to solve massive math problems that... Continue Reading →
Jacob Bernoulli (6 January 1655 - 16 August 1705) was a Swiss mathematician who was the first to use the term integral. He studied the catenary, the curve of a suspended string. He was an early user of polar coordinates and... Continue Reading →
Well, a Radian, simply put, is a unit of measure for angles that is based on the radius of a circle. What this means is that if we imagine taking the length of the radius and wrapping it around a... Continue Reading →
I do love animations of sphere. If some mechanical parts are involved it's even better. Found this hypnotic animation, but I do not know is creator. If anyone knows, please let me know so I can credit the creator.
Ever wish your computer could think like you do or perhaps even understand you? That future may not be now, but it's one step closer, thanks to a Texas A&M University-led team of scientists and engineers and their recent discovery... Continue Reading →
A beautiful landscape painting, a beautiful piano sonata -- art and music are almost exclusively described in terms of aesthetics, but what about math? Beyond useful or brilliant, can an abstract idea be considered beautiful? Yes, actually -- and not... Continue Reading →
In numerical analysis, Newton's method (also known as the Newton–Raphson method), named after Isaac Newton and Joseph Raphson, is a method for finding successively better approximations to the roots (or zeroes) of a real-valued function. The idea of the method is as follows: one starts with an initial guess which is... Continue Reading →
In geometry, an envelope of a family of curves in the plane is a curve that is tangent to each member of the family at some point, and these points of tangency together form the whole envelope. Classically, a point on the envelope can be thought of as the... Continue Reading →
Scents of Science 