Making Do

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Besieged by Spain in 1572, the people of Leyden, Holland, ran out of silver. In order to have a currency for everyday trade, they tore pages from books and stamped them in coin dies, producing the first paper money in Europe.

During World War I the Fanning Islands could not receive currency from Australia, so they arranged to have one-pound notes printed in Hawaii. When peace came, these temporary notes were cut in half and used as movie tickets.

“I have enough money to last me the rest of my life,” said Jackie Mason, “unless I buy something.”

Diction Airy

In 1856 Samuel Hoshour reflected that students might learn new words more easily if they were presented in context rather than in long gray lists of definitions. The result was Letters to Squire Pedant, an imaginary correspondence salted with ten-dollar vocabulary words:

Dear Sir, At my decession from you; your final alloquy, and concinnous deport laid me under a reasonable obstriction to impart to you, a pantography of the occidental domain upon which I had placed my ophthalmic organs. I now merge my plumous implement of chirography into the atramental fluid, to exonerate myself of that obstriction. From my earliest juvenility, I possessed an indomitable proclivity to lead those that are given to the lection of my lucubrations, to the inception of occurrences. And it would be a dilucid evagation from my accustomary route, would I not now insist upon a regression of your mind to the locality where we imparted mutual valedictions.

Unfortunately, he gets a bit carried away. “Longevous Sir,” begins Letter IV, “The day sequacious to the vesper on which I effectuated in a certain cabaret an exsiccation of my habiliments by torrefaction, was not very inservient to the progress of a pedestrious emigrant.”

Stick Up

http://www.google.com/patents/US292389

John Van Zandt’s “combined cane and burglar alarm,” patented in 1884, is low-tech but effective: The head contains a percussion cap, and the ferrule contains a spring clamp.

“The operation is as follows: The occupant of the room simply takes the cane and suspends the same over the top of the door, as hereinbefore explained. On the door being slightly opened the support for the cane is released, whereupon the cane drops and, striking the floor, explodes the cap, thus frightening away the thief and arousing the occupant of the room.”

“Bees Invited to Funerals”

At Bradfield, a primitive village on the edge of the moors, in the parish of Ecclesfield, I was informed by a person of much intelligence, that a custom as obtained in the district from time immemorial — ‘for hundreds of years’ was the expression used — of inviting bees to funerals; and that an instance could be produced of the superstition having been practised even within the last year. What is done is this. When a death occurs, a person is appointed to call the neighbours to the funeral, who delivers the invitations in one form of words: ‘You are invited to the funeral of A.B., which is to take place at such an hour, on such a day; and there will be dinner on table at — o’clock.’ And if it should happen that bees were kept in the garden of the house where the corpse lies (not an unlikely thing near moors), the messenger is instructed to address the same invitation to the bees in their hives; because it is considered that, if this compliment be omitted, the bees will die.

— Alfred Gatty, Notes & Queries, Oct. 25, 1851

The Ballot Box Problem

ballot box lattice diagram

In 1878 W. A. Whitworth imagined an election between two candidates. A receives m votes, B receives n votes, and A wins (m>n). If the ballots are cast one at a time, what is the probability that A will lead throughout the voting?

The answer, it turns out, is given by the pleasingly simple formula

ballot box formula

Howard Grossman offered the proof above in 1946. We start at O, where no votes have been cast. Each vote for A moves us one point east and each vote for B moves us one point north until we arrive at E, the final count, (m, n). If A is to lead throughout the contest, then our path must steer consistently east of the diagonal line OD, which represents a tie score. Any path that starts by going north, through (0,1), must cut OD on its way to E.

If any path does touch OD, let it be at C. The group of such paths can be paired off as p and q, reflections of each other in the line OD that meet at C and continue on a common track to E.

This means that the total number of paths that touch OD is twice the number of paths p that start their journey to E by going north. Now, the first segment of any path might be up to m units east or up to n units north, so the proportion of paths that start by going north is n/(m + n), and twice this number is 2n/(m + n). The complementary probability — the probability of a path not touching OD — is (mn)/(m + n).

(It’s interesting to consider what this means. If m = 2n then p = 1/3 — even if A receives twice as many votes as B, it’s still twice as likely that B ties him at some point as that A leads throughout.)

Unquote

“I found one day in school a boy of medium size ill-treating a smaller boy. I expostulated, but he replied: ‘The bigs hit me, so I hit the babies; that’s fair.’ In these words he epitomized the history of the human race.” — Bertrand Russell

Cold Faith

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Apropos of Eskimo, I once heard a missionary describe the extraordinary difficulty he had found in translating the Bible into Eskimo. It was useless to talk of corn or wine to a people who did not know even what they meant, so he had to use equivalents within their powers of comprehension. Thus in the Eskimo version of the Scriptures the miracle of Cana of Galilee is described as turning the water into blubber; the 8th verse of the 5th chapter of the First Epistle of St. Peter ran: ‘Your adversary the devil, as a roaring Polar bear walketh about, seeking whom he may devour.’ In the same way ‘A land flowing with milk and honey’ became ‘A land flowing with whale’s blubber,’ and throughout the New Testament the words ‘Lamb of God’ had to be translated ‘little Seal of God,’ as the nearest possible equivalent. The missionary added that his converts had the lowest opinion of Jonah for not having utilised his exceptional opportunities by killing and eating the whale.

— Lord Frederic Hamiliton, The Days Before Yesterday, 1920