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The ten Arabic numerals 0, 1, 2, 3, 4, 5, 6, 7, 8, and 9 are the most commonly used symbols for writing numbers. The term often also implies a positional notation using the numerals, as well as the use of a decimal base, in particular when contrasted with other systems such as Roman numerals. However, the symbols are also used to write numbers in other bases such as octal, as well as for writing non-numerical information such as trademarks or license plates identifiers.
Combinatorics is an area of mathematics primarily concerned with counting, both as a means and an end in obtaining results, and certain properties of finite structures. It is closely related to many other areas of mathematics and has many applications ranging from logic to statistical physics and from evolutionary biology to computer science.
Differential geometry is a mathematical discipline that studies the geometry of smooth shapes and smooth spaces, otherwise known as smooth manifolds. It uses the techniques of differential calculus, integral calculus, linear algebra and multilinear algebra. The field has its origins in the study of spherical geometry as far back as antiquity. It also relates to astronomy, the geodesy of the Earth, and later the study of hyperbolic geometry by Lobachevsky. The simplest examples of smooth spaces are the plane and space curves and surfaces in the three-dimensional Euclidean space, and the study of these shapes formed the basis for development of modern differential geometry during the 18th and 19th centuries.
In the history of Europe, the Middle Ages or medieval period lasted approximately from the late 5th to the late 15th centuries, aligning with the post-classical period of global history. It began with the fall of the Western Roman Empire in 476 AD and ended with the fall of Constantinople in 1453 AD before transitioning into the Renaissance and then the Age of Discovery. The Middle Ages is the middle period of the three traditional divisions of Western history: antiquity, medieval, and modern. The medieval period is itself subdivided into the Early, High, and Late Middle Ages. Late medieval scholars at first called these the Dark Ages in contrast to classical antiquity.
Number theory is a branch of pure mathematics devoted primarily to the study of the integers and arithmetic functions. German mathematician Carl Friedrich Gauss (1777–1855) said, "Mathematics is the queen of the sciences—and number theory is the queen of mathematics." Number theorists study prime numbers as well as the properties of mathematical objects constructed from integers, or defined as generalizations of the integers.
Pythagoras of Samos was an ancient Ionian Greek philosopher, polymath and the eponymous founder of Pythagoreanism. His political and religious teachings were well known in Magna Graecia and influenced the philosophies of Plato, Aristotle, and, through them, the West in general. Knowledge of his life is clouded by legend, but he appears to have been the son of Mnesarchus, a gem-engraver on the island of Samos or the city of Tyre. Modern scholars disagree regarding Pythagoras's education and influences, but they do agree that, around 530 BC, he travelled to Croton in southern Italy, where he founded a school in which initiates were sworn to secrecy and lived a communal, ascetic lifestyle. This lifestyle entailed a number of dietary prohibitions, traditionally said to have included vegetarianism, although modern scholars doubt that he ever advocated complete vegetarianism; he was said to have advised athletes to "feast on flesh" exclusively.
Set theory is the branch of mathematical logic that studies sets, which can be informally described as collections of objects. Although objects of any kind can be collected into a set, set theory, as a branch of mathematics, is mostly concerned with those that are relevant to mathematics as a whole.
The Art of War is an ancient Chinese military treatise dating from the Late Spring and Autumn Period. The work, which is attributed to the ancient Chinese military strategist Sun Tzu, is composed of 13 chapters. Each one is devoted to a different set of skills or art related to warfare and how it applies to military strategy and tactics. For almost 1,500 years it was the lead text in an anthology that was formalized as the Seven Military Classics by Emperor Shenzong of Song in 1080. The Art of War remains the most influential strategy text in East Asian warfare and has influenced both East Asian and Western military theory and thinking and has found a variety of applications in a myriad of competitive non-military endeavors across the modern world including espionage, culture, politics, business, and sports.
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Utrecht Caravaggism refers to the work of a group of artists who were from, or had studied in, the Dutch city of Utrecht, and during their stay in Rome during the early seventeenth century had become distinctly influenced by the art of Caravaggio. Upon their return to the Dutch Republic, they worked in a so-called Caravaggist style, which in turn influenced an earlier generation of local artists as well as artists in Flanders. The key figures in the movement were Hendrick ter Brugghen, Gerrit van Honthorst and Dirck van Baburen, who introduced Caravaggism into Utrecht painting around 1620. After 1630 the artists moved in other directions and the movement petered out. The Utrecht Caravaggisti painted predominantly history scenes and genre scenes executed in a realist style.
Buddhism, also known as Buddha Dharma, and Dharmavinaya, is an Indian religion or philosophical tradition based on teachings attributed to the Buddha. It originated in the eastern Gangetic plain as a śramaṇa–movement in the 5th century BCE, and gradually spread throughout much of Asia via the Silk Road. It is the world's fourth-largest religion, with over 520 million followers (Buddhists) who comprise seven percent of the global population.
Wilfrid II, name also spelled Wilfrith, also known as Wilfrid the Younger, was the last bishop of York, as the see was converted to an archbishopric during the time of his successor.
Hugh Nigel Kennedy is a British medieval historian and academic. He specialises in the history of the early Islamic Middle East, Muslim Iberia and the Crusades. From 1997 to 2007, he was Professor of Middle Eastern History at the University of St Andrews. Since 2007, he has been Professor of Arabic at SOAS, University of London.
The Patagonian weasel is a small mustelid that is the only member of the genus Lyncodon. Its geographic range is the Pampas of western Argentina and sections of Chile. An early mention of the animal is in the Journal of Syms Covington, who sailed with Charles Darwin on his epic voyage aboard HMS Beagle.
Athan George Theoharis was an American historian, professor of history at Marquette University in Milwaukee, Wisconsin. As well as his extensive teaching career, he was noteworthy as an expert on the Federal Bureau of Investigation (FBI), J. Edgar Hoover, and U.S. intelligence agencies, having written and edited many books on these and related subjects.
Barbara Yorke FRHistS FSA is a historian of Anglo-Saxon England, specialising in many subtopics, including 19th-century Anglo-Saxonism. She is currently emeritus professor of early Medieval history at the University of Winchester, and is a fellow of the Royal Historical Society. She is an honorary professor of the Institute of Archaeology at University College London.
Algebra is the study of variables and the rules for manipulating these variables in formulas; it is a unifying thread of almost all of mathematics.
Geometry is a branch of mathematics concerned with properties of space such as the distance, shape, size, and relative position of figures. Geometry is, along with arithmetic, one of the oldest branches of mathematics. A mathematician who works in the field of geometry is called a geometer. Until the 19th century, geometry was almost exclusively devoted to Euclidean geometry, which includes the notions of point, line, plane, distance, angle, surface, and curve, as fundamental concepts.
The Smithsonian Institution's Global Volcanism Program (GVP) documents Earth's volcanoes and their eruptive history over the past 10,000 years. The mission of the GVP is to document, understand, and disseminate information about global volcanic activity.
Estrofurate, also known as 17α-(3-furyl)-estra-1,3,5(10),7-tetraene-3,17-diol 3-acetate, is a synthetic, steroidal estrogen that was synthesized in 1967 and studied in the late 1960s and early 1970s but was never marketed. It is a relatively weak estrogen in bioassays.
References
- ↑ von Staden, Heinrich (1989). Herophilus: The Art of Medicine in Early Alexandria. Cambridge University Press. pp. 506–511. ISBN 0-521-23646-0 . Retrieved 2008-01-13.
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