Showing posts with label Dublin. Show all posts
Showing posts with label Dublin. Show all posts

Tuesday, December 30, 2025

Time to Raise a Glass

 

Guinness Storehouse - "Tick Followed Tock" - Guinness Advertisement 1999

As the clock winds down on 2025, as we toast the old year and look forward to the new, I find myself remembering my mathematical visit to the Guinness Storehouse in Dublin, Ireland earlier this year. Mathematics certainly provides great excuses to visit a wide variety of places!

A Visit to Guinness Storehouse - Dublin, Ireland
The Storehouse is a 7-story extravaganza of all things Guinness from ingredients to brewing to adverisiting to shipping and more! It includes a restaurant and multiple bars, including the Gravity Bar that makes up the entirety of the 7th floor, which has one of the best views over the city of Dublin. Most tickets include a pint in the Gravity Bar at the end of your tour.
Guiness Storehouse - Dublin, Ireland
One floor is enirely devoted to Guiness's famously whimsical ads.
Guiness Storehouse - Dublin, Ireland
All of my travels involve mathematics in some way, so what's the math connection here? 
Guiness Storehouse - Dublin, Ireland
Guinness faced a practical quality-control problem: testing barley to ensure consistent brewing required destroying some of the product; therefore, only small samples could be used. Traditional statistical methods required large sample sizes and didn’t work well with such limited data. William Sealy Gosset, a brewer at Guinness with training in mathematics and chemistry, developed a new way to draw reliable conclusions from small samples. 
Guiness Storehouse - Dublin, Ireland
This method became what we now call the Student’s t-test. The name is due to a company policy. Guinness allowed Gosset to publish his work only under a pseudonym. The name he chose to use was “Student.” That pseudonym is why the test still bears that name today.
St. James's Gate Brewery - Dublin, Ireland

Guinness Storehouse - Dublin, Ireland

Guinness Storehouse - Dublin, Ireland

Guinness Storehouse - Dublin, Ireland
More than a century later, the Student's t-test still matters because it remains one of the most widely used tools for making sense of small data sets, from scientific research to medicine, economics, and more! So, if you raise a glass this New Year's Eve - especially if it's a pint of Guinness - be sure to remember the name William Sealy Gosset.
Heidi &Toby at Gravity Bar - Guinness Storehouse - Dublin, Ireland
To all my reader's - I wish you a happy, healthy, and prosperous New Year!

Thursday, October 16, 2025

Hamilton Walk

 

Me at Brougham (aka Broom) Bridge, Dublin
In ancient times, Archimedes had an "AHA moment" so astonishing that it caused him to leap out of his bath and run through the streets shouting, "EUREKA!"

In 1843, William Rowan Hamilton had a similarly amazing "AHA moment," but instead of running naked, he carved his realization into the stones of Dublin's Broom Bridge.
Hamilton Memorials at Broom Bridge, Dublin

Hamilton had long sought a means of extending the complex numbers to represent rotations in 3 dimensions. Even his young sons knew of his quest and would ask him when he came down to breakfast, "Well, Papa, can you multiply triplets?"
Hamilton Memorials at Broom Bridge, Dublin
On October 16, 1843, while walking into Dublin with his wife from their home at Dunsink Observatory, the answer suddenly came to him. In his excitement, he took out his pen knife and carved the equations into the stone of the bridge: i2 = j2 = k2 = ijk = -1    

William Rowan Hamilton Plaque at Broom Bridge, Dublin
Hamilton's discovery supported early work on light and quantum mechanics – and today relates also to virtual reality, spacecraft navigation, and even how your phone knows which way is up.

Since 1990, there has been an annual walk where people retrace Hamilton’s steps. The group sometimes numbers 100 or more and includes everyone from school children to world-famous mathematicians, all here to honor Hamilton and his discovery of Quaternions.
Dunsink Observatory, Dublin, former home of W. R. Hamilton

Dunsink Observatory, Dublin, former home of W. R. Hamilton

Dunsink Observatory, Dublin, former home of W. R. Hamilton

Looking west from Broom Bridge, Dublin

Looking east under Broom Bridge, Dublin

Broom Bridge, Dublin
Sadly, I missed this year's event by a mere 25 days, but I was glad for the opportunity to make my own pilgrimage to the bridge and see the plaque commemorating the discovery.
Me honoring the discovery of Quaternions at Broom Bridge, Dublin