We’ve all cursed an ineffective digital network, whether it’s delays streaming the latest Game of Thrones or a dangerous mobile phone overload during bushfire season. But no-one wants to pay extra for an over-engineered network.
The secret to designing and testing a digital network to find the happy medium is a mathematical tool called a traffic matrix: a model of all the digital traffic within the network.
Continue reading Traffic matrices for more reliable digital networks
Statisticians have revealed the surprising source of dust that plagues townships beside a Hunter Valley rail line delivering coal to Newcastle’s busy port.
Airborne dust increases as trains pass. But it wasn’t clear exactly how—for example, whether the dust was escaping uncovered coal wagons or coming from the diesel engines pulling the wagons. The answer was surprising.
Mathematicians from the ARC Centre of Excellence for Mathematical and Statistical Frontiers correlated air-pollution data against information on passing trains and weather conditions.
Seagrass meadows provide food and habitat for everything from dugongs and birds to fish and tiny crabs.
Globally we’re losing over 100 sq. km per year due to dredging, coastal developments and runoff. That’s bad news for the animals they support, and bad news for us too, as seagrass supports healthy coastal fisheries as well as acting as a carbon store.
To see how seagrass can be given a fighting chance, Dr Paul Wu at the ARC Centre of Excellence for Mathematical and Statistical Frontiers and collaborators have put an extended modelling technique to new use, predicting seagrass health and suggests how some modified human activities could reduce the damage.
The credit limit you’re not using on your card is costing the bank money, and that’s increasing the cost for all customers’ cards.
Now, Melbourne mathematicians have developed a way of minimising this using the bank’s data on customer spending behaviour.
The unused credit costs the bank money because regulators require them to have funds in reserve – which they can’t invest elsewhere for profit – to cover the possibility you’ll make a large purchase and not pay the money back.
Continue reading Smart credit limits save money for customers and banks
How much fish move around is critical information for fisheries managers—for example they need to know if fish caught off Brisbane are a separate population to those caught off Cairns. Different tracking techniques, such as physical tags or genetic mapping, can be used but each method has its weaknesses.
A team of mathematicians is using pre-existing data on Spanish mackerel, using their hitchhiking parasites to track fish movements and model the populations.
Many of today’s big questions can only be answered with new mathematical and statistical tools.
That’s what the ARC Centre of Excellence for Mathematical and Statistical Frontiers are working on, and they’re finding real-world applications in areas as diverse as:
Continue reading Maths to answer big questions (it’s not always 42)
