Eavesdropping

http://commons.wikimedia.org/wiki/File:Surrey_south_downs.jpg
Image: Wikimedia Commons

Edwardian journalist Charles Cyril Turner, the world’s first modern aviation correspondent, describes a May morning alone in a balloon over Surrey:

Very slowly I approach a big wood. It would better express the situation were I to say that very slowly a big wood comes nearer to the balloon, for there is no sense of movement, and the earth below seems to be moving slowly past a stationary balloon. … Fifteen hundred feet up and almost absolute silence, broken occasionally by the barking of a dog heard very faintly, or by a voice hailing the balloon, and by an occasional friendly creak of the basket and rigging if I move ever so slightly. Then quite suddenly I am aware of something new.

The balloon has come down a little already, and I scatter a few handfuls of sand and await the certain result. But my attention is no longer on that, it is arrested by this new sound which I hear, surely the most wonderful and the sweetest sound heard by mortal ears. It is the combined singing of thousands of birds, of half the kinds which make the English spring so lovely. I do not hear one above the others; all are blended together in a wonderful harmony without change of pitch or tone, yet never wearying the ear. By very close attention I seem to be able at times to pick out an individual song. No doubt at all there are wrens, and chaffinches, and blackbirds, and thrushes, hedge sparrows, warblers, greenfinches, and bullfinches and a score of others, by the hundred; and their singing comes up to me from that ten-acre wood in one sweet volume of heavenly music. There are people who like jazz!

That’s from Turner’s 1927 memoir The Old Flying Days. Elsewhere he describes approaching the surface of the North Sea far from land: “We could hear the incessant murmur of the commotion of waters as the countless millions of waves and ripples sang together. Surely there is not in nature any sound quite like this, and only in a balloon can it be heard, for by the shore one hears only the turbulent noise of the waters breaking on land, and in any sort of ship the noise of the ship itself makes what to our ears would seem discord.”

Black and White

shinkman chess problem

By William Anthony Shinkman. White to mate in two moves.

Click for Answer

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