Mathematics

Money can't make you happy but perhaps math can predict how much less unhappy you will be than if you lived in poverty.

The happiness of over 18,000 people worldwide has been predicted by a mathematical equation, with results showing that moment-to-moment happiness reflects not just how well things are going, but whether things are going better than expected.


An algorithm works for diagnosing pediatric patients with suspected appendicitis and that reduces the utilization of computed tomography (CT) scans, without affecting diagnostic accuracy.

Acute appendicitis is the most common cause of acute abdominal pain in children. Appendicitis occurs when the appendix becomes inflamed and filled with pus. CT scans are often used to diagnose acute appendicitis because they are accurate, widely available and have the ability to provide clinicians with advanced information in appendicitis cases suspected of complications.


An MIT robotic device is worn around the wrist and basically works like two extra fingers adjacent to the pinky and thumb.

A novel control algorithm enables it to move in sync with the wearer's fingers to grasp objects of various shapes and sizes. Wearing the robot, a user could use one hand to, for instance, hold the base of a bottle while twisting off its cap. The robot, which the MIT researchers have dubbed "supernumerary robotic fingers," consists of actuators linked together to exert forces as strong as those of human fingers during a grasping motion.


Weddings are a lot of stress, primarily for women but, in 19 states, lots of men as well.

Math can ease some of the burden - at least when it comes to cutting the cake. But first let's show how it works with just two people. Believe it or not this topic has generated a substantial amount of literature in the last 20 years. A cake is, of course, a metaphor for a divisible, heterogeneous good to a mathematician, and there an 'adjusted winner' can be created.


Dan Spielman, a Yale computer scientist, wanted to model complex online communities like Facebook, hoping to gain insight into how they form and interact. That's one of the precepts of Science 2.0, understanding how people can participate and scientists can collaborate without being drowned in a lot of 'noise' before being put on the right path to either.

A colleague in Jerusalem observed that aspects of Spielman’s research brought to mind a math problem that had been stumping people since Dwight Eisenhower was in office — the Kadison-Singer math problem. The 1950s? A puzzle that wasn't even from a paper, but from the “Related Questions” section of a paper on extensions of pure states? 

Platonic solids are regular bodies in three dimensions, such as the cube and icosahedron, and have been known for millennia. They feature prominently in the natural world wherever geometry and symmetry are important, for instance in lattices and quasi-crystals, as well as fullerenes and viruses  

Platonic solids have counterparts in four dimensions. Swiss mathematician Ludwig Schlaefli and Alicia Boole Stott showed that there are six of them, five of which have very strange symmetries. Stott, the third daughter of mathematician George Boole, is best known for establishing the term "polytope" for a convex solid in four dimensions, had a unique intuition into the geometry of four dimensions, which she visualised via three-dimensional cross-sections.


They're data mining our children, notes Politico writer Stephanie Simon. She is talking about education technology startup Knewton and their use of data analytics to find out how kids think. They want to be able to predict who will struggle with fractions next week.

Exciting, right? Obviously this can be misused and the fact that its potential problems (if they can forecast it, they can manipulate it) are so obvious is why policymakers will address that. The brilliance will be what this sort of capability can do for science. 
Reading Robert Walker's article on what extraterrestrial mathematics might look like has the wheels in my head a'turning.  We live in a digital civilization, one that specifically evolved toward a binary representation of a decimal-based mathematics.  Our computers count by 1s and 0s, whereas we tend to count by 1s, 2s, 3s, 4s, 5s, 6s, 7s, 8s, 9s, and 0s.  And that is just our conscious countatiousness.  Our bodies count in ways we have yet to enumerate.  I think it's quite likely that any complex biological organism like a jelly fish uses some sort of internal mathematics to regulate itself.

The Jacobi iterative method, a 169-year-old math strategy, may soon get a new lease on life.


When I was five years old I used to be sort of an attraction to relatives. One of my mother's brothers is an engineer, and he was amazed by my ability to do complex calculations by heart. But to me it was only amusing to observe their amazement for what I considered a triviality.

On one occasion - I remember it as it was yesterday - my uncle picked me up and while he kept me with his arms he asked me "Ok, let's see this. Tommaso, what is the square root of 5968?". Mind you, I do not remember the exact number; I only recall it was between 5000 and 7000. I watched up into the void for two seconds, and I replied "77.3". Uncle Ciccio put me down and ran for the pocket calculator - he did have one, although they were a real novelty those years.