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Articles by OldTrout

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 Möbius Function

29th October 2018 OldTrout 2281 Comments

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…]

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…]

Arts

The Holly and the Ivy – King’s College Cambridge 2008

15th December 2017 OldTrout 2128 Comments

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…]

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  • G5E4 – Origins of Rock ‘n’ Roll – The Start of The Later Years

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    Welcome pop pickers.  Back to Rock ‘n’ Roll, the start of the later period. This is the sort of music that makes you want to tap your feet, dance, and singalong. Thank you to Wiki, [more...]
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    By now, you should be getting quite familiar with some of the fascinating titbits of information it’s possible to unearth (pun intended) about elements. In previous articles, we’ve explored the development of the Periodic Table [more...]
  • Government’s real role has limits

    30th October 2023 2805 Comments
    President Ronald Reagan said the nine most terrifying words in the English language are: “I’m from the government and I’m here to help”. We wonder whether he appreciated their full truth. The role of government [more...]
  • Crossword No. 182

    7th August 2021 2176 Comments
    First correct entry out of ‘the hat’ wins a choice of GP authored book. Email entries to me by 6.00 pm Sunday, subject ‘Crossword’. Contact here on email Winner of Crossword 181 and a GP [more...]
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    UK Since the Referendum-Lies, Damn Lies and Statistics

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    (All data, graphs and figures from the Office for National Statistics. Available under the Open Government License.) Where to begin? The amount of disinformation before, during and after the referendum on EU membership has been [more...]

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