IN: Lewis Fry Richardson was the youngest of seven children born to Catherine Fry (1838-1919) and David Richardson (1835-1913). They were a prosperous Quaker family, David Richardson operating a successful tanning and leather manufacturing business. At age 12 he was sent to a Quaker boarding school, Bootham School in York, where he received an education in science, which stimulated an active interest in natural history. In 1898 he went on to Durham College of Science (a college of Durham University) where he took courses in mathematical physics, chemistry, botany, and zoology.

Richardson decided to search for a relation between the probability of two countries going to war and the length of their common border. However, while collecting data, he found that there was considerable variation in the various published lengths of international borders. For example, that between Spain and Portugal was variously quoted as 987 or 1214 km, and that between the Netherlands and Belgium as 380 or 449 km. The reason for these inconsistencies is the "coastline paradox". Suppose the coast of Britain is measured using a 200 km ruler, specifying that both ends of the ruler must touch the coast. Now cut the ruler in half and repeat the measurement, then repeat: Notice that the smaller the ruler, the longer the resulting coastline. It might be supposed that these values would converge to a finite number representing the true length of the coastline. However, Richardson demonstrated that this is not the case: the measured length of coastlines, and other natural features, increases without limit as the unit of measurement is made smaller. This is known nowadays as the Richardson effect. At the time, Richardson's research was ignored by the scientific community. Today, it is considered an element of the beginning of the modern study of fractals. Richardson's research was quoted by mathematician Benoit Mandelbrot in his 1967 paper How Long Is the Coast of Britain? Richardson identified a value (between 1 and 2) that would describe the changes (with increasing measurement detail) in observed complexity for a particular coastline; this value served as a model for the concept of fractal dimension.
QUESTION: Why did he start that research?
IN: Thomson was born in Glasgow, Scotland, the youngest of six children. He arrived in the United States two years later. His father, a cabinet maker, had moved to New York City shortly before Bobby's birth and sent for his family in 1925. Thomson grew up on Staten Island in New York City and signed with the New York Giants for a $100 bonus right out of Curtis High School in 1942.

Thomson became a celebrity for his walk-off home run off Brooklyn Dodgers pitcher Ralph Branca to win the 1951 National League pennant. The home run, nicknamed the "Shot Heard 'Round the World", was dramatic as, until 1969, league pennants were only decided by playoff when the teams involved finished the regular season in a tie. Prior to 1951 playoffs had only been necessary in 1946 (NL) and 1948 (AL). Although in mid-August the Giants were 13 1/2 games behind the league-leading Dodgers, they won 37 of their final 44 games to tie Brooklyn on the final day of the regular season, forcing a three-game playoff. The Giants won the first game 3-1 as a result of a two-run home run by Thomson (off Branca). Brooklyn's Clem Labine shut out the Giants in the second game, 10-0. The decisive contest, played on October 3 at the Polo Grounds, was the first major sporting event televised coast-to-coast in the United States. The Dodgers took a 4-1 lead into the bottom of the ninth inning; but Giants shortstop Alvin Dark singled, advanced to third on a single by Don Mueller, and scored on a double by Whitey Lockman. With Lockman on second and pinch-runner Clint Hartung at third, Thomson's walk-off home run turned looming defeat into a 5-4 victory. The moment was immortalized by Giants play-by-play announcer Russ Hodges's excited multiple repetitions: "The Giants win the pennant! The Giants win the pennant!" Waiting in the on-deck circle to hit behind Thomson was rookie Willie Mays. The Giants' season ended, however, at the 1951 World Series; the Yankees swept the last three games to win the best-of-seven series, 4 games to 2. Thomson batted .238 in the Series with no home runs. The bat from the "Shot Heard 'Round the World" is in the collection of the National Baseball Hall of Fame and Museum in Cooperstown, New York. The uniform worn by Thomson on that day is apparently a part of a large private collection owned by Dan Scheinman, a member of the San Francisco Giants ownership group.
QUESTION: Are there any other interesting aspects about this article?
IN: Timur was born in Transoxiana near the city of Kesh (modern Shahrisabz, Uzbekistan) some 80 kilometres (50 mi) south of Samarkand, part of what was then the Chagatai Khanate. His father, Taraqai, was a minor noble of the Barlas, a Mongolian tribe that had been turkified in many aspects. According to Gerard Chaliand, Timur was a Muslim, and he saw himself as Genghis Khan's heir. Though not a Borjigid or a descendent of Genghis Khan, he clearly sought to invoke the legacy of Genghis Khan's conquests during his lifetime.

Timur is regarded as a military genius, and as a brilliant tactician with an uncanny ability to work within a highly fluid political structure to win and maintain a loyal following of nomads during his rule in Central Asia. He was also considered extraordinarily intelligent - not only intuitively but also intellectually. In Samarkand and his many travels, Timur, under the guidance of distinguished scholars, was able to learn the Persian, Mongolian, and Turkish languages. (according to Ahmad ibn Arabshah, Timur didn't know Arabic) More importantly, Timur was characterized as an opportunist. Taking advantage of his Turco-Mongolian heritage, Timur frequently used either the Islamic religion or the law and traditions of the Mongol Empire to achieve his military goals or domestic political aims. Timur, mostly considered a barbarian, in fact was a well learned king, and did enjoy the company of scholars --he was tolerant and generous to them against his nature. Once Persian poet Hafez wrote a ghazal whose verse says if this Turk accept his homage: --For the black mole on his cheekI would give the cities of Samarkand and Bukhara Timur upbraided him for this verse and said; "By the blows of my well tempered sword I have conquered the greater part of the world to enlarge Samarkand and Bukhara, my capitals and residences; and you pitiful creature would exchange these two cities for a mole". Hafez replied "O Sovereign of the world, it is by the state of similar generosity that I have been reduced, as you see my present state of poverty." It is reported that the King was amazed by the witty answer and the poet departed with magnificent gifts. Timur used Persian expressions in his conversations often, and his motto was the Persian phrase rasti rusti (rsty rsty, meaning "truth is safety" or "veritas salus").
QUESTION:
What did the people think of Timur?