Home > Topic > digits

digits  QUOTES

14 " Now the evening's at its noon, its meridian. The outgoing tide has simmered down, and there's a lull-like the calm in the eye of a hurricane - before the reverse tide starts to set in.The last acts of the three-act plays are now on, and the after-theater eating places are beginning to fill up with early comers; Danny's and Lindy's - yes, and Horn & Hardart too. Everybody has got where they wanted to go - and that was out somewhere. Now everybody will want to get back where they came from - and that's home somewhere. Or as the coffee-grinder radio, always on the beam, put it at about this point: 'New York, New York, it's a helluva town, The Bronx is up, the Battery's down, And the people ride around in a hole in the ground.Now the incoming tide rolls in; the hours abruptly switch back to single digits again, and it's a little like the time you put your watch back on entering a different time zone. Now the buses knock off and the subway expresses turn into locals and the locals space themselves far apart; and as Johnny Carson's face hits millions of screens all at one and the same time, the incoming tide reaches its crest and pounds against the shore. There's a sudden splurge, a slew of taxis arriving at the hotel entrance one by one as regularly as though they were on a conveyor belt, emptying out and then going away again.Then this too dies down, and a deep still sets in. It's an around-the-clock town, but this is the stretch; from now until the garbage-grinding trucks come along and tear the dawn to shreds, it gets as quiet as it's ever going to get.This is the deep of the night, the dregs, the sediment at the bottom of the coffee cup. The blue hours; when guys' nerves get tauter and women's fears get greater. Now guys and girls make love, or kill each other or sometimes both. And as the windows on the 'Late Show' title silhouette light up one by one, the real ones all around go dark. And from now on the silence is broken only by the occasional forlorn hoot of a bogged-down drunk or the gutted-cat squeal of a too sharply swerved axle coming around a turn. Or as Billy Daniels sang it in Golden Boy: While the city sleeps, And the streets are clear, There's a life that's happening here.(" New York Blues" ) "

16 " Two writings of al-Hassār have survived. The first, entitled Kitāb al-bayān wa t-tadhkār [Book of proof and recall] is a handbook of calculation treating numeration, arithmetical operations on whole numbers and on fractions, extraction of the exact or approximate square root of a whole of fractionary number and summation of progressions of whole numbers (natural, even or odd), and of their squares and cubes. Despite its classical content in relation to the Arab mathematical tradition, this book occupies a certain important place in the history of mathematics in North Africa for three reasons: in the first place, and notwithstanding the development of research, this manual remains the most ancient work of calculation representing simultaneously the tradition of the Maghrib and that of Muslim Spain. In the second place, this book is the first wherein one has found a symbolic writing of fractions, which utilises the horizontal bar and the dust ciphers i.e. the ancestors of the digits that we use today (and which are, for certain among them, almost identical to ours) [Woepcke 1858-59: 264-75; Zoubeidi 1996]. It seems as a matter of fact that the utilisation of the fraction bar was very quickly generalised in the mathematical teaching in the Maghrib, which could explain that Fibonacci (d. after 1240) had used in his Liber Abbaci, without making any particular remark about it [Djebbar 1980 : 97-99; Vogel 1970-80]. Thirdly, this handbook is the only Maghribian work of calculation known to have circulated in the scientific foyers of south Europe, as Moses Ibn Tibbon realised, in 1271, a Hebrew translation.
[Mathematics in the Medieval Maghrib: General Survey on Mathematical Activities in North Africa] "

Ahmed Djebbar