Mathematics

After being one of the few who picked the Mets to make it to the postseason in 2015, NJIT Mathematical Sciences Professor and Associate Dean Bruce Bukiet has published his projections of how the standings should look at the end of Major League Baseball's 2016 season.

And things look good for the Mets again.


Football teams have been wearing numbers since Arsenal experimented with putting their players in numbered shirts in 1928 (it didn’t bring them much luck – they lost 3-2 to Sheffield Wednesday). But it was Manchester United that made the number seven shirt iconic by putting their best players in it – perhaps most famously David Beckham, who said:

“Beware of false knowledge; it is more dangerous than ignorance.” - George Bernard Shaw, Man and Superman, 1903.

It ain’t what you don’t know that gets you into trouble. It’s what you know for sure that just ain’t so. Mark Twain (1835-1910)


The Fallacy:

The so-called “Greenhouse effect” is one of the most persistent fallacies in popular science. It is a flawed speculation left over from the late 19th century, when it was first entertained by such scientific luminaries as Joseph Fourier, John Tyndall, and Svante Arrhenius.

In fact, however, the so-called “greenhouse gases” do not “trap” infrared energy radiated from the surface of the Earth, as proposed; they merely slow its inevitable return to outer space.

A Sino-Italian workshop on Applied Statistics was held today at the Department of Statistical Sciences of the University of Padova. The organizers were Alessandra Brazzale and Alessandra Salvan from the Department of Statistical Sciences, and Giorgio Picci from the "Confucius Institute". 

When a system is well understood, a well-constructed mathematical model of that system can make realistic predictions based on the data sets fed into it. However, when a system is not well-understood, but one insists on making a mathematical of it, anyway, the holes in the database and the gaps in our knowledge must, necessarily, be filled with assumptions and estimates, instead of established principles and actual data.

The poorer our understanding of the system, the greater the impact of those simplifying assumptions and arbitrary estimates on the modeled results.
Here is a problem with truly huge numbers, thought to be unsolvable. 

Imagine that you have 128 tennis balls, and can arrange them in any way you like. How many arrangements are possible? According to a new paper, the answer is about 10^250, also known as ten unquadragintilliard: that's a number so big that it exceeds the total number of particles in the universe.

Such “configurational entropy” - a term used to describe how structurally disordered the particles in a physical system are - could lead to a model for the sort of maths that would be needed to solve bigger problems still, ranging from predicting avalanches, or artificial intelligence systems.

Mariners have long spoken of 'walls of water' appearing from nowhere in the open seas, that is why freak waves are called freak waves.

Oceanographers have disregarded such stories and instead suggested that rogue waves - enormous surface waves that have attained a near-mythical status over the centuries - build up gradually and have relatively narrow crests, but new research says rogue (or freak) waves can emerge suddenly, being preceded by much smaller waves. At least in mathematical models published in Proceedings of the Royal Society A.


Falling oxygen levels caused by global warming could be a greater threat to the survival of life on planet Earth than flooding, according to an estimate led by Sergei Petrovskii, Professor in Applied Mathematics from the University of Leicester's Department of Mathematics.

Their mathematical model estimates that an increase in the water temperature of the world's oceans of around six degrees Celsius, which the most aggressive claims (two degrees is the scientific consensus) say could occur as soon as 2100, could stop oxygen production by phytoplankton by disrupting the process of photosynthesis. 


In 2012, the enthusiasm for poll averaging reached a fever pitch. Very few people were critical of it and instead talked about how science had taken over predictive politics. (1)

I was critical of the accuracy and swam against the tide of those in media gushing about the new frontier opened up by New York Times statistical pundit Nate Silver and others, which posited that we could now predict outcomes with unprecedented accuracy. 'They don't do any polls,' I noted, 'So we are supposed to believe there is some miracle of weighting they do in polls done by someone else.' It's the same flaw we find in epidemiology when a scholar does an unweighted random effects meta-analysis to conclude organic strawberries taste better or whatever.

While most people associate the mathematical constant π (pi) with arcs and circles, mathematicians are accustomed to seeing it in a variety of fields. Two University of Rochester scientists have found it lurking in a quantum mechanics formula for the energy states of the hydrogen atom.

"We found the classic 17th century Wallis formula for pi, making us the first to derive it from physics, in general, and quantum mechanics, in particular," said Tamar Friedmann, a visiting assistant professor of mathematics and a research associate of high energy physics, and co-author of a paper published this week in the Journal of Mathematical Physics.