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Aristotle was born in 384 B.C. at Stagira, a small coastal town in northern Greece. His father, Nicomachus, was a physician to the Macedonian ruler Amyntas II. His mother was Phaestis, a descendant of a family from Chalcis who had moved th...
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Branch of mathematics that deals with the properties of numbers and ways of combining them through addition, subtraction, multiplication, and division. Initially it dealt only with the counting numbers, but its definition has broadened to ...
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The arithmetic mean, or as it is sometimes referred to, the average of a data set, is the sum of all data values divided by the number of items in the set. A mean is considered to be a measure of central tendency--it describes a "typical" ...
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A sequence of numbers is said to be arithmetic if the difference between any two successive terms is the same. For example the sequence 1,3,5,7,9,... is arithmetic because the difference between any two consecutive terms is 2. This differe...
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Cayley was born in England during a short visit of his parents to Richmond, Surrey, but spent his first eight years in Russia where his father plied a living as a merchant. Returning to England to attend a private school, Cayley eventually...
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In a time and place where people believed certain distant stars, called "asuras," possessed malevolent powers capable of inflicting harm on Earth, Aryabhata the Elder took the first steps towards separating scientific explication from folk...
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Two closely related laws of number operations. In symbols, they are stated: &math.a; + (&math.b; + &math.c;) = (&math.a; + &math.b;) + &math.c;, and &math.a;(&math.b;&math.c;) = (&math.a;&math.b;)&math.c;. Stated in words: The terms or fac...
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In mathematics, a line or curve that acts as the limit of another line or curve. For example, a descending curve that approaches but does not reach the horizontal axis is said to be asymptotic to that axis, which is the asymptote of the cu...
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Known principally for his discovery of the Möbius strip, which made him a pioneer in the field of topology, August Ferdinand Möbius also did important work in theoretical astronomy and analytic geometry. Möbius, born in Schu...
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August Crelle was an engineer and amateur mathematician who founded one of the first European mathematical journals, Journal für die reine und angewandte Mathematik, also known as Crelle's Journal. Born in 1780 in Eichwerder, Germany ...
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The French mathematician Augustin Louis Cauchy (1789-1857) provided the foundation for the modern period of rigor in analysis. He launched the theory of functions of a complex variable and was its authoritative pioneer developer. Augustin ...
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Augustus De Morgan entered the English mathematical scene during a period of inactivity and by the time of his death it had regained the stature it had since the time of Isaac Newton. Although De Morgan did not devote himself wholeheartedl...
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In mathematics or logic, an unprovable rule or first principle accepted as true because it is self-evident or particularly useful (e.g., “Nothing can both be and not be at the same time and in the same respect”). The term is of...
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In mathematics or logic, an unprovable rule or first principle accepted as true because it is self-evident or particularly useful (e.g., “Nothing can both be and not be at the same time and in the same respect”). The term is of...
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