Hobbies
From a Sum to a Product
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…]
OldTrout
Cooking
Vanilla Ice Cream Terrine with Ginger, Chocolate and Salted Caramel
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
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
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
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
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…]
Arts
In the Bleak Midwinter
The second Sunday of Advent. #Peace In the bleak mid-winter Frosty wind made moan; Earth stood hard as iron, Water like a stone; Snow had fallen, snow on snow, Snow on snow, In the bleak [more…]
Mathematics
Wilson’s Theorem
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
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…]