Image processing emerges from the shadows
The case of the postcard, the boy on Dún Laoghaire pier and some school trigonometry
The whole is greater than the part – or is it?
How Galileo began to cast doubt on the apparent axiomatic certainties of Euclid
Improbability Principle and the Seanad election
Given enough opportunities, something extraordinary is bound to occur
A prescient vision of modern weather forecasting
Methods a century old are at the heart of modern atmospheric simulation
Thinking time: New maths theories come from random moments
For mathematicians sustained effort and deep thought lay groundwork for discovery
The importance of mathematical equations and why they are our friends
That’s Math: Stephen Hawking’s cynical view of equations is a disservice to science
Letters to a German Princess: Euler’s blockbuster lives on
That’s Maths: The collection of letters shows Euler was not only a ‘master’ mathematician but also a master teacher
The mind of the mathematician
The stereotype is a dishevelled scatterbrain but in reality we come in all shapes and sizes
That’s Maths: Jakob Bernoulli and the law of large numbers
Swiss’s theorem was first attempt to apply probability outside realm of games of chance
Buffon’s Noodle and calculating the length of a hillwalk
That’s Maths: Times and distances are of vital importance in the mountains
Émilie Du Châtelet and the conservation of energy
Her brilliant work is still the standard reference in French on Newtonian mechanics
Topsy-turvy maths: Proving axioms from theorems
The starting point for reverse maths is a base theory that is strong enough to state the theorems of interest, but not strong enough to prove them
Outrageous behaviour among mathematicians
In the ‘calculus wars’ Britain claimed it was invented by Newton, while the Germans insisted it was Leibniz
The Rosetta Stone many believe holds key to essential nature of maths
That’s Maths: Langlands program one of most ambitious efforts to unify different branches
Earth system models simulate the changing climate
We must find ways to minimise or avoid further damage to the atmosphere and oceans
That’s Maths: The social side of mathematics
The IMS deals with high level stuff, but an opening exists for a group catering to the layperson
Phantom traffic jams are all too real
Decreasing average speed of traffic can increase overall flow volume
To infinity and beyond: trying to figure out number systems
That’s Maths: Construction of set of numbers inspired by conception of physical world
Kalman filters have applications from moon to motorway
That’s Maths: Rudolph Kalman’s method is almost ideal to calculate velocity changes
The simple arithmetic triangle is full of surprises
Easy to construct, and always a chance of finding something never seen before
How does the much-maligned Euclid’s Elements relate to coronavirus?
Analysis suggests part of the coronavirus has the structure of a truncated octahedron
How to improve weather predictions by reducing precision
That’s Maths: Decimal points come with costs that may not fine-tune ensemble forecasts
Entropy and the relentless drift from order to chaos
It is all too evident in everyday life: a broken egg cannot be put together again
Was space weather the cause of the Titanic disaster?
That’s Maths: Ship’s impact with iceberg could, arguably, have been avoided
Making the best of waiting in line
There is a well-developed mathematical theory of queues, covering several stages of the process
Goldbach’s conjecture: if it’s unprovable, it must be true
Falsehood of the conjecture is incompatible with unprovability
We must reduce uncertainty of climate predictions
Can machine learning help narrow confidence gap in climate-change forecasts?
Complexity: are easily-checked problems also easily solved?
That’s Maths: Many problems are hard to solve but easy to verify, such as Sudoku puzzles
Euler: a mathematician without equal and an overall nice guy
The vast body of mathematics owes more to Euler than to any other single person
We are living at the bottom of an ocean
Important questions about atmospheric tides remain unanswered
On what day of the week is Christmas? Use the Doomsday Rule
John Horton Conway’s ingenious algorithim allows us determine the weekday for any given date
Christmas trees and the four-colour theorem
Mapmakers and tilers have found how elegant variation can be achieved with care
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