Author Archives: pdburns

Elementary Latin

Elementary Latin

Was it quid pro quo,

or just lapsus linguae? (Slip of the tongue)

Please don’t put on a show –

though it’s quite a display.

For many tirades ad hominem,

provide Quod Erat Demonstrandum (QED)

– anon.

Postcard from Karatu

While traveling recently in Tanzania, near Lake Manyara National Park, we came upon the most ordinary of sights. Yet it reminded me of the unstructured (unsupervised) sport and games played in youth.

We were returning at dusk to our hotel near the park, along a red-dusty rough ‘road’ – safari vehicles only.

Lads at Play, near Karatu, Tanzania, 4 Sept. 2018

The photo provides a glimpse of local lads (mostly boys) at play. Just off-camera to the right was a casual football game, down a decline from the road. Looking closely we see,

  • a bicycle and rucksack on the ground
  • a boy holding up his hand to us, possibly because his friends are crossing
  • two, perhaps brothers, standing together in the centre
  • on the right is someone watching, or joining, the game

– Peter Burns

Babbage’s Difference Machine lecture 14 June 1822

On this day in 1822, Charles Babbage proposed a ‘Difference Machine’ in a lecture to the Royal Astronomical Society of London, ‘Note on the Application of Machinery to the Computation of Astronomical and Mathematical Tables’*

His difference engine is a mechanical calculator that evaluates polynomial functions. The name comes from the method of divided differences, a way to interpolate functions by using a small set of polynomial coefficients. Most mathematical functions commonly used by engineers, scientists and navigators, can be approximated by polynomials. A difference engine can, therefore, compute many useful tables of numbers. Babbage is credited with the concept of a digital, programmable computer.

Babbage Quotation:

The errors which arise from the absence of facts are far more numerous and more durable than those which result from unsound reasoning respecting true data**. 

_________
*This is the title from the Memoirs, or as we would say today Proceeding, of the Royal Astronomical Society. Later Babbage published the abstract of his talk in a book and used the title, ‘A Note Respecting the Application of Machinery to the Calculation of Astronomical Tables’.

**C. Babbage, ‘Of Price as Measured by Money’, On the Economy of Machinery and Manufactures (1st ed., 1832), chap. 17, 112.