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OldTrout

OldTrout, Going Postal
Hobbies

A Beautiful Equation

18th November 2019 OldTrout 1970 Comments

Euler gave us this jewel which is regarded by many as the most beautiful equation in mathematics; it has both elegance and simplicity. It is comprised of five fundamental numbers and the operations of addition, [more…]

OldTrout, Going Postal
Mathematics

Commutativity

7th October 2019 OldTrout 2551 Comments

A binary operation is said to commute if the order of the operands does not alter the result. In the real numbers, , the following commutative laws hold : for all for all Although these [more…]

Mathematics

Going Round in Circles

2nd September 2019 OldTrout 5141 Comments

Or : Multiplying by . The beginning of complex numbers is often attributed to Cardano (1501 – 1576).  Complex numbers provide a solution to the equation . They are an extension of the number system [more…]

Hobbies

The Basel Problem

14th January 2019 OldTrout 5032 Comments

One sometimes gets very interesting results when one turns divergent sums upside down. The Basel problem was asked by Pietro Mengoli in . He asked what is the exact summation of the reciprocals of the [more…]

Arts

Hark! The Herald Angels Sing

24th December 2018 OldTrout 6682 Comments

Painted in about 1470/75, it is in the National Gallery. One of my favourite carols: Merry Christmas!   OldTrout 2018  

Arts

Pistachio Ice Cream

17th December 2018 OldTrout 2770 Comments

Ingredients : 8oz (225g) unsalted, shelled pistachio nuts 1 pint (570ml) double cream 1 pint (570ml) single cream 4oz (110g) golden caster sugar 8 large egg yolks 1 1/2 tablespoons of custard powder   Method [more…]

Hobbies

The Fields Medal

13th August 2018 OldTrout 3290 Comments

“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

6th August 2018 OldTrout 1964 Comments

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

20th December 2017 OldTrout 913 Comments

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…]

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