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…]
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…]
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…]
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…]
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…]
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…]
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…]
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…]
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…]
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