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
Ireland’s mapping grid in harmony with GPS
A new grid was established about 20 years ago and has become the standard
Talking about the weather: Forecasting gets better and better
Technology and analysis improve weather prediction by a day per decade
Maths prodigy Terence Tao does battle with conjecture
2020 Hamilton lecture to be delivered via video link from Los Angeles
Mathematics and the nature of physical reality
That’s Maths: The universe is profoundly mathematical in nature, and we do not really understand why
Will mathematicians be replaced by computers?
While human intuition and creativity are key elements of logic, they can be replicated
Is there anyone out there? Drake’s Equation gives a clue
Life beyond our berth in space is a matter of conjecture . . . perhaps even a numbers game
We have been intrigued by infinity’s enigma for . . . forever
Resolution of paradox: A gateway to mathematical progress
Cornelius Lanczos: Inspired by Hamilton’s quaternions
That’s Maths: Influential Hungarian took up position in Dias in 1954
It all adds up: the ever-growing goals of googology
That’s Maths: The search for ever-larger numbers has been given the evocative name googology
The geography of Europe is mapped in our genes
In the age of ‘big data’ voluminous data collections are mined for information
Why pooling expertise to tackle Covid-19 works
The modelling work is a wonderful example of blending the techniques of applied mathematics and statistics
Sketches and spirals: When maths and art collide
Albrecht Dürer, born in 1471, believed ‘the new art must be based upon science’
In tribute to John Casey, founder of modern geometry
Limerick academic extended Greek astronomer Ptolemy’s theorem and wrote six widely used textbooks
Coronavirus: What does exponential growth mean?
Disease grew exponentially in its initial stages but that cannot continue indefinitely
The mathematics of fair play in video games
A rating system originally developed for chess is used to match evenly-skilled players
Coronavirus: Modelling the evolution of a viral outbreak
Mathematical models were useful in responding to Sars, Ebola and swine flu and will help with the Covid-19 virus too
The Irishman who brought the humane drop to hanging
Samuel Haughton discovered a method in which the neck is broken by the drop
How many numbers begin with a 1? More than 30 per cent!
Physicist Frank Benford’s remarkable discovery has proven valuable in fraud detection
Using maths to reduce aircraft noise
Aero acoustics and aircraft design are intensely mathematical in character
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