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OldTrout

Mathematics

On Punctuation!

31st August 2020 OldTrout 3524 Comments

Apparently, some subset of younger people are upset and intimidated about the use of full stops in text and other messages. I am not sure what they would think about the ellipsis, … , or [more…]

Hobbies

From a Sum to a Product

20th January 2020 OldTrout 1946 Comments

In The Basel Problem we saw that Euler answered the question by showing that the sum of the reciprocals of the square numbers is equal to . That is The partial sums slowly converge to [more…]

Cooking

Vanilla Ice Cream Terrine with Ginger, Chocolate and Salted Caramel

6th January 2020 OldTrout 3413 Comments

1 litre vanilla ice cream 100g stem ginger biscuits/cookies 100g dark chocolate 125g salted caramel cream sauce You can buy salted caramel cream sauce or make your own in ten minutes. To make your own [more…]

Arts

Hark! The Herald Angels Sing

25th December 2019 OldTrout 1099 Comments

Painted in about 1470/75, it is in the National Gallery. One of my favourite carols: Merry Christmas!   OldTrout 2019  

Arts

The Holly and the Ivy

23rd December 2019 OldTrout 1035 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…]

Arts

The Coventry Carol

22nd December 2019 OldTrout 1882 Comments

The fourth Sunday of Advent. #Love Original spelling Modernised spelling Lully, lulla, thow littell tine child, By by, lully, lullay thow littell tyne child, By by, lully, lullay! Lully, lullay, thou little tiny child, Bye [more…]

Arts

Adeste, Fideles

15th December 2019 OldTrout 1058 Comments

The third Sunday of Advent – #Peace. Maestà, or Maestà of Duccio is an altarpiece composed of many individual paintings commissioned by the city of Siena in 1308 from the artist Duccio di Buoninsegna, 1308–1311 [more…]

Mathematics

Wilson’s Theorem

2nd December 2019 OldTrout 1974 Comments

Wilson’s Theorem is a test for primality.  It is inefficient for large numbers since factorials () grow very fast.  Nevertheless, it has its uses because of its simplicity. It was conjectured by Wilson and published [more…]

Arts

O Come, O Come, Emmanuel

1st December 2019 OldTrout 3048 Comments

Today is the first Sunday of Advent.  It is time to light the first candle. #Hope. O come, O come, Emmanuel, And ransom captive Israel, That mourns in lonely exile here, Until the Son of [more…]

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