What is the shortest way to travel from Rotterdam to Groningen, in general: from given city to given city. It is the algorithm for the shortest path, which I designed in about twenty minutes. One morning I was shopping in Amsterdam with my young fiancée, and tired, we sat down on the café terrace to drink a cup of coffee and I was just thinking about whether I could do this, and I then designed the algorithm for the shortest path. As I said, it was a twenty-minute invention. In fact, it was published in '59, three years late. The publication is still readable, it is, in fact, quite nice. One of the reasons that it is so nice was that I designed it without pencil and paper. I learned later that one of the advantages of designing without pencil and paper is that you are almost forced to avoid all avoidable complexities. Eventually that algorithm became, to my great amazement, one of the cornerstones of my fame.
Edsger W. DijkstraRelated topics
algorithm almost amazement avoidable cafe city coffee cup designing drink fact fame fiancee general given great invention late later morning nice paper path pencil publication quite sat say shopping terrace thinking three travel twenty way young years amsterdam minutes rotterdamRelated quotes
[On the attendees at the launch of Apollo 11] Those people were not a stampeding herd, nor a manipulated mob; they did not wreck the Florida communities, they did not devastate the countryside, they did not throw themselves, like whining thugs, at the mercy of their victims - they did not create any victims. They came as responsible individuals able to project the reality of two or three days ahead, and to provide for their own needs. There were people of every age, creed, color, educational level and economic status. They lived and slept in tents, or in their cars, some for several days, in great discomfort and unbearable heat; they did it gamely, cheerfully, gaily; they projected a general feeling of confident goodwill, the bond of a common enthusiasm; they created a public spectacle of responsible privacy - and they departed as they had come, without benefit of press agents.
Ayn Rand
Just as the human population was starting its unprecedented growth spurt in the late eighteenth century, this was published. It's a first edition of an essay on population by the English clergyman Thomas Malthus. Malthus made a very simple observation about the relationship between humans and resources and used it to look into the future. He pointed out that "the power of population is indefinitely greater than the power of the earth to produce subsistence for man." Food production can't increase as rapidly as human reproduction. Demand will eventually outstrip supply. Malthus goes on to say, if we don't control human reproduction voluntarily, life could end in misery, which earned him a reputation as a bit of a pessimist. But Malthus' principle remains true. The productive capacity or the Earth has physical limits and those limits will ultimately determine how many human beings it can support. m10s58-m12s18.
David Attenborough
When I look at this as a proposal [i. e. British entry into the Common Market], it is really an extraordinary change. We used to put the Commonwealth first. It is quite obvious now that the Commonwealth comes second. We are going to be closer friends with the Germans, the Italians and the French than we are with the Australians or the Canadians. People are talking about what will happen thirty years hence: but, you know, twenty years ago I should never have imagined that we would be putting, as close friends, the Germans in front of the Canadians, the Australians, the New Zealanders, the Indians or anyone else. That does make for an entire revolution. It is also an entire revolution in the historic position of this country. I am not putting it forward that necessarily old things are right: I should be showing my age too clearly if I did that. It may be they are right; but make no mistake: this is an enormous change.
Clement Attlee
The day after your departure I started a new painting at Le Cours-la-Reine, in the afternoon in a glow of sun, and another in the morning by the water below St. Paul's Church. These two canvases are fairly well advanced, but I still need one session in fine weather without too much mist to give them a little firmness. Until now I have not been able to find the effect I want, I have even been forced to change the effect a bit, which is always dangerous. I have also an effect of fog.. .Until now I have not been able to find the effect I want, I have even been forced to change the effect a bit, which is always dangerous. I have also an effect of fog, another, same effect, from my window, the same motif in the rain, several sketches in oils, done on the quays near the boats; the next day it was impossible to go on, everything was confused, the motifs no longer existed ; one has to realize them in a single session.
Camille Pissarro
Development means a capacity for self-sustaining growth. It means that an economy must register advances which in turn will promote further progress. The loss of industry and skill in Africa was extremely small, if we measure it from the viewpoint of modern scientific achievements or even by standards of England in the late eighteenth century. However, it must be borne in mind that to be held back at one stage means that it is impossible to go on to a further stage. When a person was forced to leave school after only two years of primary school education, it is no reflection on him that he is academically and intellectually less developed than someone who had the opportunity to be schooled right through to university level. What Africa experienced in the early centuries of trade was precisely a loss of development opportunity, and this is of the greatest importance.
Walter Rodney
