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Counting Rods
Counting rods (筭) are small bars, typically 3–14 cm (1" to 6") long, that were used by mathematicians for calculation in ancient East Asia. They are placed either horizontally or vertically to represent any integer or rational number. The written forms based on them are called rod numerals. They are a true Positional notation, positional numeral system with numerical digit, digits for 1–9 and a blank for 0, from the Warring States period, Warring states period (circa 475 BCE) to the 16th century. History Chinese arithmeticians used counting rods well over two thousand years ago. In 1954, forty-odd counting rods of the Warring States period (5th century BCE to 221 BCE) were found in Zuǒjiāgōngshān (左家公山) Chu (state), Chu Grave No.15 in Changsha, Hunan. In 1973, archeologists unearthed a number of wood scripts from a tomb in Hubei dating from the period of the Han dynasty (206 BCE to 220 CE). On one of the wooden scripts was written: "当利二月定算� ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
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Yanghui Triangle
In mathematics, Pascal's triangle is an infinite triangular array of the binomial coefficients which play a crucial role in probability theory, combinatorics, and algebra. In much of the Western world, it is named after the French mathematician Blaise Pascal, although other mathematicians studied it centuries before him in Persia, India, China, Germany, and Italy. The rows of Pascal's triangle are conventionally enumerated starting with row n = 0 at the top (the 0th row). The entries in each row are numbered from the left beginning with k = 0 and are usually staggered relative to the numbers in the adjacent rows. The triangle may be constructed in the following manner: In row 0 (the topmost row), there is a unique nonzero entry 1. Each entry of each subsequent row is constructed by adding the number above and to the left with the number above and to the right, treating blank entries as 0. For example, the initial number of row 1 (or any other row) is 1 (the sum of 0 and 1), whereas ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Spring And Autumn Period
The Spring and Autumn period () was a period in History of China, Chinese history corresponding roughly to the first half of the Eastern Zhou (256 BCE), characterized by the gradual erosion of royal power as local lords nominally subject to the Zhou exercised increasing political autonomy. The period's name derives from the ''Spring and Autumn Annals'', a chronicle of the state of Lu between 722 and 481 BCE, which tradition associates with Confucius (551–479 BCE). During this period, local polities negotiated their own alliances, waged wars against one another, up to defying the king's court in Luoyang, Luoyi. The gradual Partition of Jin, one of the most powerful states, is generally considered to mark the end of the Spring and Autumn period and the beginning of the Warring States period. The periodization dates to the late Western Han (). Background In 771 BCE, a Quanrong invasion in coalition with the states of Zeng (state), Zeng and Shen (state), Shen— ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
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Sunzi Suanjing
''Sunzi Suanjing'' () was a mathematical treatise written during 3rd to 5th centuries CE 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 Mathemat ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
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Perpendicular
In geometry, two geometric objects are perpendicular if they intersect at right angles, i.e. at an angle of 90 degrees or π/2 radians. The condition of perpendicularity may be represented graphically using the '' perpendicular symbol'', ⟂. Perpendicular intersections can happen between two lines (or two line segments), between a line and a plane, and between two planes. ''Perpendicular'' is also used as a noun: a perpendicular is a line which is perpendicular to a given line or plane. Perpendicularity is one particular instance of the more general mathematical concept of '' orthogonality''; perpendicularity is the orthogonality of classical geometric objects. Thus, in advanced mathematics, the word "perpendicular" is sometimes used to describe much more complicated geometric orthogonality conditions, such as that between a surface and its '' normal vector''. A line is said to be perpendicular to another line if the two lines intersect at a right angle. Explicitly, a fi ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
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Seki Kowa Katsuyo Sampo Bernoulli Numbers
Seki may refer to: Places * Seki, Gifu, a city in Japan * Seki River, a river in Japan * Şəki, a city and provincial capital in Azerbaijan * Şəki (village), a village and municipality in Azerbaijan * Šeki, a small town in Slovenia * Seki, Bismil * Seki, Ilgaz, a village in Turkey * Seki, İskilip * Seki, Osmancık * Seki, Tavas Other uses * Seki, a term in the game of Go *SEKI, an acronym for Sequoia and Kings Canyon National Parks in California * Seki language, a Bantu language of Equatorial Guinea and Gabon * Sushi Seki, a Japanese sushi restaurant in New York City People with the surname *, Japanese soprano * Atsuko Seki (born 1964), Japanese pianist * Deniz Seki (born 1970), Turkish female pop singer * , Japanese politician *, Japanese businessman *, Japanese ice hockey player *, Japanese ''daimyō'' *, Japanese handball player * , Japanese politician * Koji Seki (other), multiple people *, Imperial Japanese Navy officer *, Japanese table tennis player ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
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Checker Counting Board
Checker or chequer or ''variant'', may refer to: People *Chubby Checker (born 1941), American singer-songwriter best known for popularizing The Twist *Emma Checker (born 1996), Australian footballer Arts, entertainment, and media * Checker, a game piece in the board game ''Checkers'' (UK: ''draughts'') *Checker Records, a record label Brands and enterprises *Checker Motors Corporation, built Checker taxis *Checker Taxi, a taxi service founded by Morris Markin Other uses *Check (pattern), also called checker or checkered, a pattern consisting of squares of alternating colors *Checker, the action that produces ''checkering'', a surface applied to wooden gunstocks to provide a non-slip grip (see Gunsmith) *Another term for retail clerk. See also *Checkerboard *Checkers (other), including ''chequers'' *Check (other), including ''cheque'' *Draft (other) Draft, the draft, or draught may refer to: Watercraft dimensions * Draft (hull), the distance ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
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Counting Board
The counting board is the precursor of the abacus, and the earliest known form of a counting device (excluding fingers and other very simple methods). Counting boards were made of stone or wood, and the counting was done on the board with beads, pebbles etc. Not many boards survive because of the perishable materials used in their construction, or the impossibility to identify the object as a counting board. The counting board was invented to facilitate and streamline numerical calculations in ancient civilizations. Its inception addressed the need for a practical tool to perform arithmetic operations efficiently. By using counters or tokens on a board with designated sections, people could easily keep track of quantities, trade, and financial transactions. This invention not only enhanced accuracy but also fueled the development of more sophisticated mathematical concepts and systems throughout history. The counting board does not include a zero, as we have come to understand it ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Rod Numeral Positioning
Rod, Ród, Rőd, Rød, Röd, ROD, or R.O.D. may refer to: Devices * Birch rod, made out of twigs from birch or other trees for corporal punishment * Ceremonial rod, used to indicate a position of authority * Connecting rod, main, coupling, or side rod, in a reciprocating engine * Control rod, used to control the rate of fission in a nuclear reactor * Divining rod, two rods believed by some to find water in a practice known as dowsing * Fishing rod, a tool used to catch fish, like a long pole with a hook on the end * Lightning rod, a conductor on top of a building to protect the building in the event of lightning by taking the charge harmlessly to earth * Measuring rod, a kind of ruler * Switch (corporal punishment), a piece of wood used as a staff or for corporal punishment, or a bundle of such switches * Truss rod, a steel part inside a guitar neck used for its tension adjustment Arts and entertainment * ''Read or Die'', a Japanese anime and manga ** ''Read or Die'' (OVA), a ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
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Algebra
Algebra is a branch of mathematics that deals with abstract systems, known as algebraic structures, and the manipulation of expressions within those systems. It is a generalization of arithmetic that introduces variables and algebraic operations other than the standard arithmetic operations, such as addition and multiplication. Elementary algebra is the main form of algebra taught in schools. It examines mathematical statements using variables for unspecified values and seeks to determine for which values the statements are true. To do so, it uses different methods of transforming equations to isolate variables. Linear algebra is a closely related field that investigates linear equations and combinations of them called '' systems of linear equations''. It provides methods to find the values that solve all equations in the system at the same time, and to study the set of these solutions. Abstract algebra studies algebraic structures, which consist of a set of mathemati ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
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Abacus
An abacus ( abaci or abacuses), also called a counting frame, is a hand-operated calculating tool which was used from ancient times in the ancient Near East, Europe, China, and Russia, until the adoption of the Hindu–Arabic numeral system. An abacus consists of a two-dimensional array of Sliding (motion), slidable beads (or similar objects). In their earliest designs, the beads could be loose on a flat surface or sliding in grooves. Later the beads were made to slide on rods and built into a frame, allowing faster manipulation. Each rod typically represents one Numerical digit, digit of a multi-digit number laid out using a positional numeral system such as base ten (though some cultures used different numerical bases). Roman Empire, Roman and East Asian abacuses use a system resembling bi-quinary coded decimal, with a top deck (containing one or two beads) representing fives and a bottom deck (containing four or five beads) representing ones. Natural numbers are normally use ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Negative Number
In mathematics, a negative number is the opposite (mathematics), opposite of a positive real number. Equivalently, a negative number is a real number that is inequality (mathematics), less than 0, zero. Negative numbers are often used to represent the Magnitude (mathematics), magnitude of a loss or deficiency. A debt that is owed may be thought of as a negative asset. If a quantity, such as the charge on an electron, may have either of two opposite senses, then one may choose to distinguish between those senses—perhaps arbitrarily—as ''positive'' and ''negative''. Negative numbers are used to describe values on a scale that goes below zero, such as the Celsius and Fahrenheit scales for temperature. The laws of arithmetic for negative numbers ensure that the common-sense idea of an opposite is reflected in arithmetic. For example, −(−3) = 3 because the opposite of an opposite is the original value. Negative numbers are usually written with a Plus and minus signs, minus sig ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |