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Galley Division
In arithmetic, the galley method, also known as the batello or the scratch method, was the most widely used method of division (mathematics), division in use prior to 1600. The names galea (boat), galea and batello refer to a boat which the outline of the work was thought to resemble. An earlier version of this method was used as early as 825 by Al-Khwarizmi. The galley method is thought to be of Arab origin and is most effective when used on a sand abacus. However, Lam Lay Yong's research pointed out that the galley method of division originated in the 1st century AD in ancient China. The galley method writes fewer figures than long division, and results in interesting shapes and pictures as it expands both above and below the initial lines. It was the preferred method of division for seventeen centuries, far longer than long division's four centuries. Examples of the galley method appear in the 1702 British-American cyphering book written by Thomas Prust (or Priest). How it w ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Galley Method1
A galley is a type of ship that is propelled mainly by oars. The galley is characterized by its long, slender hull, shallow draft (hull), draft, and low freeboard (nautical), freeboard (clearance between sea and gunwale). Virtually all types of galleys had sails that could be used in favorable winds, but human power, human effort was always the primary method of propulsion. This allowed galleys to navigate independently of winds and currents. The galley originated among the seafaring civilizations around the Mediterranean Sea in the late second millennium BC and remained in use in various forms until the early 19th century in naval warfare, warfare, trade, and piracy. Galleys were the warships used by the early Mediterranean naval powers, including the Ancient Greece, Greeks, Illyrians, Phoenicians, and ancient Rome, Romans. They remained the dominant types of vessels used for war and piracy in the Mediterranean Sea until the last decades of the 16th century. As warships, galleys ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Moorish
The term Moor, derived from the ancient Mauri, is an exonym first used by Christian Europeans to designate the Muslim inhabitants of the Maghreb, the Iberian Peninsula, Sicily and Malta during the Middle Ages. Moors are not a distinct or self-defined people. The 1911 ''Encyclopædia Britannica'' observed that the term had "no real ethnological value." Europeans of the Middle Ages and the early modern period variously applied the name to Arabs and North African Berbers, as well as Muslim Europeans. The term has also been used in Europe in a broader, somewhat derogatory sense to refer to Muslims in general,Menocal, María Rosa (2002). ''Ornament of the World: How Muslims, Jews and Christians Created a Culture of Tolerance in Medieval Spain''. Little, Brown, & Co. , p. 241 especially those of Arab or Berber descent, whether living in Spain or North Africa. During the colonial era, the Portuguese introduced the names "Ceylon Moors" and "Indian Moors" in South Asia and Sri Lanka ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Division (mathematics)
Division is one of the four basic operations of arithmetic, the ways that numbers are combined to make new numbers. The other operations are addition, subtraction, and multiplication. At an elementary level the division of two natural numbers is, among other possible interpretations, the process of calculating the number of times one number is contained within another. This number of times need not be an integer. For example, if 20 apples are divided evenly between 4 people, everyone receives 5 apples (see picture). The division with remainder or Euclidean division of two natural numbers provides an integer ''quotient'', which is the number of times the second number is completely contained in the first number, and a ''remainder'', which is the part of the first number that remains, when in the course of computing the quotient, no further full chunk of the size of the second number can be allocated. For example, if 21 apples are divided between 4 people, everyone receives ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Vinculum (symbol)
\overline = 0. Y = \overline \sqrt /math> a-\overline = a − (b + c) Vinculum usage A vinculum () is a horizontal line used in mathematical notation for various purposes. It may be placed as an overline (or underline) over (or under) a mathematical expression to indicate that the expression is to be considered grouped together. Historically, vincula were extensively used to group items together, especially in written mathematics, but in modern mathematics this function has almost entirely been replaced by the use of parentheses. It was also used to mark Roman numerals whose values are multiplied by 1,000. Today, however, the common usage of a vinculum to indicate the repetend of a repeating decimal is a significant exception and reflects the original usage. History The vinculum, in its general use, was introduced by Frans van Schooten in 1646 as he edited the works of François Viète (who had himself not used this notation). However, earlier versions, such as using a ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Long Division
In arithmetic, long division is a standard division algorithm suitable for dividing multi-digit Hindu-Arabic numerals (Positional notation) that is simple enough to perform by hand. It breaks down a division problem into a series of easier steps. As in all division problems, one number, called the dividend, is divided by another, called the divisor, producing a result called the quotient. It enables computations involving arbitrarily large numbers to be performed by following a series of simple steps. The abbreviated form of long division is called short division, which is almost always used instead of long division when the divisor has only one digit. Chunking (also known as the partial quotients method or the hangman method) is a less mechanical form of long division prominent in the UK which contributes to a more holistic understanding of the division process. While related algorithms have existed since the 12th century, the specific algorithm in modern use was introduced by ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Division Ring
In algebra, a division ring, also called a skew field, is a nontrivial ring in which division by nonzero elements is defined. Specifically, it is a nontrivial ring in which every nonzero element has a multiplicative inverse, that is, an element usually denoted , such that . So, (right) ''division'' may be defined as , but this notation is avoided, as one may have . A commutative division ring is a field. Wedderburn's little theorem asserts that all finite division rings are commutative and therefore finite fields. Historically, division rings were sometimes referred to as fields, while fields were called "commutative fields". In some languages, such as French, the word equivalent to "field" ("corps") is used for both commutative and noncommutative cases, and the distinction between the two cases is made by adding qualificatives such as "corps commutatif" (commutative field) or "corps gauche" (skew field). All division rings are simple. That is, they have no two-sided ideal besi ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Division Algebra
In the field of mathematics called abstract algebra, a division algebra is, roughly speaking, an algebra over a field in which division, except by zero, is always possible. Definitions Formally, we start with a non-zero algebra ''D'' over a field. We call ''D'' a division algebra if for any element ''a'' in ''D'' and any non-zero element ''b'' in ''D'' there exists precisely one element ''x'' in ''D'' with ''a'' = ''bx'' and precisely one element ''y'' in ''D'' such that . For associative algebras, the definition can be simplified as follows: a non-zero associative algebra over a field is a division algebra if and only if it has a multiplicative identity element 1 and every non-zero element ''a'' has a multiplicative inverse (i.e. an element ''x'' with ). Associative division algebras The best-known examples of associative division algebras are the finite-dimensional real ones (that is, algebras over the field R of real numbers, which are finite- dimensional as a vector space ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Field (algebra)
In mathematics, a field is a set on which addition, subtraction, multiplication, and division are defined and behave as the corresponding operations on rational and real numbers do. A field is thus a fundamental algebraic structure which is widely used in algebra, number theory, and many other areas of mathematics. The best known fields are the field of rational numbers, the field of real numbers and the field of complex numbers. Many other fields, such as fields of rational functions, algebraic function fields, algebraic number fields, and ''p''-adic fields are commonly used and studied in mathematics, particularly in number theory and algebraic geometry. Most cryptographic protocols rely on finite fields, i.e., fields with finitely many elements. The relation of two fields is expressed by the notion of a field extension. Galois theory, initiated by Évariste Galois in the 1830s, is devoted to understanding the symmetries of field extensions. Among other results, ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Group (mathematics)
In mathematics, a group is a Set (mathematics), set and an Binary operation, operation that combines any two Element (mathematics), elements of the set to produce a third element of the set, in such a way that the operation is Associative property, associative, an identity element exists and every element has an Inverse element, inverse. These three axioms hold for Number#Main classification, number systems and many other mathematical structures. For example, the integers together with the addition operation form a group. The concept of a group and the axioms that define it were elaborated for handling, in a unified way, essential structural properties of very different mathematical entities such as numbers, geometric shapes and polynomial roots. Because the concept of groups is ubiquitous in numerous areas both within and outside mathematics, some authors consider it as a central organizing principle of contemporary mathematics. In geometry groups arise naturally in the study of ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Sunzi Suanjing
''Sunzi Suanjing'' () was a mathematical treatise written during 3rd to 5th centuries AD which was listed as one of the Ten Computational Canons during the Tang dynasty. The specific identity of its author Sunzi (lit. "Master Sun") is still unknown but he lived much later than his namesake Sun Tzu, author of ''The Art of War''. From the textual evidence in the book, some scholars concluded that the work was completed during the Southern and Northern Dynasties. Besides describing arithmetic methods and investigating Diophantine equations, the treatise touches upon astronomy and attempts to develop a calendar. Contents The book is divided into three chapters. Chapter 1 Chapter 1 discusses measurement units of length, weight and capacity, and the rules of counting rods. Although counting rods were in use in the Spring and Autumn period and there were many ancient books on mathematics such as ''Book on Numbers and Computation'' and ''The Nine Chapters on the Mathematic ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
National University Of Singapore
The National University of Singapore (NUS) is a national public research university in Singapore. Founded in 1905 as the Straits Settlements and Federated Malay States Government Medical School, NUS is the oldest autonomous university in the country. It offers degree programmes in a wide range of disciplines at both the undergraduate and postgraduate levels, including in the sciences, medicine and dentistry, design and environment, law, arts and social sciences, engineering, business, computing, and music. NUS is one of the most highly-ranked academic institutions in the world. It has consistently featured in the top 30 of the Quacquarelli Symonds (QS) World University Rankings and the Times Higher Education (THE) World University Rankings, and in the top 100 of the Academic Ranking of World Universities (ARWU). As of 2022-2023, NUS is 11th worldwide according to QS and 19th worldwide according to THE. NUS's main campus is located in the southwestern part of Singapore, adja ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
AL Khwarizmi Division
AL, Al, Ål or al may stand for: Arts and entertainment Fictional characters * Al (''Aladdin'') or Aladdin, the main character in Disney's ''Aladdin'' media * Al (''EastEnders''), a minor character in the British soap opera * Al (''Fullmetal Alchemist'') or Alphonse Elric, a character in the manga/anime * Al Borland, a character in the ''Home Improvement'' universe * Al Bundy, a character in the television series ''Married... with Children'' * Al Calavicci, a character in the television series ''Quantum Leap'' * Al McWhiggin, a supporting villain of ''Toy Story 2'' * Al, or Aldebaran, a character in ''Re:Zero − Starting Life in Another World'' media Music * '' A L'', an EP by French singer Amanda Lear * ''American Life'', an album by Madonna Calendar * Anno Lucis, a dating system used in Freemasonry Mythology and religion * Al (folklore), a spirit in Persian and Armenian mythology * Al Basty, a tormenting female night demon in Turkish folklore * ''Liber AL'', the c ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
