Hobbies
The Möbius Function
The Möbius function is denoted by , where is the Greek letter mu. Depending on the factorisation of , the function takes the values . The last says that if is even, then and if [more…]
Articles by OldTrout
Hobbies
The Fields Medal
“Rise above oneself and grasp the world” These are awarded every four years for advancement in the field of mathematics. There is an age limit of 40 on the recipients. It is a recognition of [more…]
Hobbies
Euler’s Totient Function
Euler’s totient function counts the number of positive integers up to that are relatively prime to , where is considered to be relatively prime to all . These numbers are called the totatives of . [more…]
Arts
The Coventry Carol
Several oil-on-oak-panel versions of The Massacre of the Innocents were painted by 16th-century Netherlandish painters Pieter Bruegel the Elder and his son Pieter Brueghel the Younger. The work translates the Biblical account of the Massacre [more…]
Arts
The Holly and the Ivy – King’s College Cambridge 2008
The words of the carol occur in three broadsides published in Birmingham in the early nineteenth century. An early mention of the carol’s title occurs in William Hone’s 1823 work Ancient Mysteries Described, which includes [more…]
Mathematics
A Triangle
This is Klauber’s Triangle : – He produced it in the 1930s. The underlying numbers are the natural numbers ℕ and are arranged as follows : – 1 2 3 4 5 6 7 8 [more…]