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Egyptian Numerals
The system of ancient Egyptian numerals was used in Ancient Egypt from around 3000 BCE until the early first millennium CE. It was a system of numeration based on multiples of ten, often rounded off to the higher power, written in hieroglyphs. The Egyptians had no concept of a place-valued system such as the decimal system. The hieratic form of numerals stressed an exact finite series notation, ciphered one-to-one onto the Egyptian alphabet. Digits and numbers The following hieroglyphs were used to denote powers of ten: Multiples of these values were expressed by repeating the symbol as many times as needed. For instance, a stone carving from Karnak shows the number 4,622 as: Egyptian hieroglyphs could be written in both directions (and even vertically). In this example the symbols decrease in value from top to bottom and from left to right. On the original stone carving, it is right-to-left, and the signs are thus reversed. Zero and negative numbers By 1740 BCE, the Egy ...
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Reciprocal (mathematics)
In mathematics, a multiplicative inverse or reciprocal for a number ''x'', denoted by 1/''x'' or ''x''−1, is a number which when multiplied by ''x'' yields the multiplicative identity, 1. The multiplicative inverse of a fraction ''a''/''b'' is ''b''/''a''. For the multiplicative inverse of a real number, divide 1 by the number. For example, the reciprocal of 5 is one fifth (1/5 or 0.2), and the reciprocal of 0.25 is 1 divided by 0.25, or 4. The reciprocal function, the function ''f''(''x'') that maps ''x'' to 1/''x'', is one of the simplest examples of a function which is its own inverse (an involution). Multiplying by a number is the same as dividing by its reciprocal and vice versa. For example, multiplication by 4/5 (or 0.8) will give the same result as division by 5/4 (or 1.25). Therefore, multiplication by a number followed by multiplication by its reciprocal yields the original number (since the product of the number and its reciprocal is 1). The term ''reciprocal ...
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Early Dynastic Period Of Egypt
The Early Dynastic Period or Archaic Period, also known as the Thinite Period (from Thinis, the supposed hometown of its rulers), is the era of ancient Egypt that immediately follows the unification of Upper and Lower Egypt in . It is generally taken to include the First Dynasty and the Second Dynasty, lasting from the end of the archaeological culture of Naqada III until , or the beginning of the Old Kingdom. With the First Dynasty, the Egyptian capital moved from Thinis to Memphis, with the unified land being ruled by an Egyptian god-king. In the south, Abydos remained the major centre of ancient Egyptian religion; the hallmarks of ancient Egyptian civilization, such as Egyptian art, Egyptian architecture, and many aspects of Egyptian religion, took shape during the Early Dynastic Period. Before the unification of Egypt, the land was settled with autonomous villages. With the early dynasties, and for much of Egypt's history thereafter, the country came to be known as "The ...
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Ostracon
An ostracon (Greek: ''ostrakon'', plural ''ostraka'') is a piece of pottery, usually broken off from a vase or other earthenware vessel. In an archaeological or epigraphical context, ''ostraca'' refer to sherds or even small pieces of stone that have writing scratched into them. Usually these are considered to have been broken off before the writing was added; ancient people used the cheap, plentiful and durable broken pieces of pottery around them as convenient places to place writing for a wide variety of purposes, mostly very short inscriptions, but in some cases very long. Ostracism In Classical Athens, when the decision at hand was to banish or exile a certain member of society, citizen peers would cast their vote by writing the name of the person on the shard of pottery; the vote was counted and, if unfavorable, the person was exiled for a period of ten years from the city, thus giving rise to the term ''ostracism''. Broken pottery shards were also used for anal hygie ...
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Papyrus
Papyrus ( ) is a material similar to thick paper that was used in ancient times as a writing surface. It was made from the pith of the papyrus plant, '' Cyperus papyrus'', a wetland sedge. ''Papyrus'' (plural: ''papyri'') can also refer to a document written on sheets of such material, joined side by side and rolled up into a scroll, an early form of a book. Papyrus is first known to have been used in Egypt (at least as far back as the First Dynasty), as the papyrus plant was once abundant across the Nile Delta. It was also used throughout the Mediterranean region. Apart from a writing material, ancient Egyptians employed papyrus in the construction of other artifacts, such as reed boats, mats, rope, sandals, and baskets. History Papyrus was first manufactured in Egypt as far back as the fourth millennium BCE.H. Idris Bell and T.C. Skeat, 1935"Papyrus and its uses"(British Museum pamphlet). The earliest archaeological evidence of papyrus was excavated in 2012 and ...
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English Language
English is a West Germanic language of the Indo-European language family, with its earliest forms spoken by the inhabitants of early medieval England. It is named after the Angles, one of the ancient Germanic peoples that migrated to the island of Great Britain. Existing on a dialect continuum with Scots, and then closest related to the Low Saxon and Frisian languages, English is genealogically West Germanic. However, its vocabulary is also distinctively influenced by dialects of France (about 29% of Modern English words) and Latin (also about 29%), plus some grammar and a small amount of core vocabulary influenced by Old Norse (a North Germanic language). Speakers of English are called Anglophones. The earliest forms of English, collectively known as Old English, evolved from a group of West Germanic (Ingvaeonic) dialects brought to Great Britain by Anglo-Saxon settlers in the 5th century and further mutated by Norse-speaking Viking settlers starting in the 8 ...
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Egyptian Language
The Egyptian language or Ancient Egyptian ( ) is a dead Afro-Asiatic language that was spoken in ancient Egypt. It is known today from a large corpus of surviving texts which were made accessible to the modern world following the decipherment of the ancient Egyptian scripts in the early 19th century. Egyptian is one of the earliest written languages, first being recorded in the hieroglyphic script in the late 4th millennium BC. It is also the longest-attested human language, with a written record spanning over 4000 years. Its classical form is known as Middle Egyptian, the vernacular of the Middle Kingdom of Egypt which remained the literary language of Egypt until the Roman period. By the time of classical antiquity the spoken language had evolved into Demotic, and by the Roman era it had diversified into the Coptic dialects. These were eventually supplanted by Arabic after the Muslim conquest of Egypt, although Bohairic Coptic remains in use as the liturgical lan ...
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Dover Publications
Dover Publications, also known as Dover Books, is an American book publisher founded in 1941 by Hayward and Blanche Cirker. It primarily reissues books that are out of print from their original publishers. These are often, but not always, books in the public domain. The original published editions may be scarce or historically significant. Dover republishes these books, making them available at a significantly reduced cost. Classic reprints Dover reprints classic works of literature, classical sheet music, and public-domain images from the 18th and 19th centuries. Dover also publishes an extensive collection of mathematical, scientific, and engineering texts. It often targets its reprints at a niche market, such as woodworking. Starting in 2015, the company branched out into graphic novel reprints, overseen by Dover acquisitions editor and former comics writer and editor Drew Ford. Most Dover reprints are photo facsimiles of the originals, retaining the original paginatio ...
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Subtraction
Subtraction is an arithmetic operation that represents the operation of removing objects from a collection. Subtraction is signified by the minus sign, . For example, in the adjacent picture, there are peaches—meaning 5 peaches with 2 taken away, resulting in a total of 3 peaches. Therefore, the ''difference'' of 5 and 2 is 3; that is, . While primarily associated with natural numbers in arithmetic, subtraction can also represent removing or decreasing physical and abstract quantities using different kinds of objects including negative numbers, fractions, irrational numbers, vectors, decimals, functions, and matrices. Subtraction follows several important patterns. It is anticommutative, meaning that changing the order changes the sign of the answer. It is also not associative, meaning that when one subtracts more than two numbers, the order in which subtraction is performed matters. Because is the additive identity, subtraction of it does not change a number. Subtrac ...
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Addition
Addition (usually signified by the plus symbol ) is one of the four basic operations of arithmetic, the other three being subtraction, multiplication and division. The addition of two whole numbers results in the total amount or '' sum'' of those values combined. The example in the adjacent image shows a combination of three apples and two apples, making a total of five apples. This observation is equivalent to the mathematical expression (that is, "3 ''plus'' 2 is equal to 5"). Besides counting items, addition can also be defined and executed without referring to concrete objects, using abstractions called numbers instead, such as integers, real numbers and complex numbers. Addition belongs to arithmetic, a branch of mathematics. In algebra, another area of mathematics, addition can also be performed on abstract objects such as vectors, matrices, subspaces and subgroups. Addition has several important properties. It is commutative, meaning that the order of t ...
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List Of Egyptian Hieroglyphs
The total number of distinct Egyptian hieroglyphs increased over time from several hundred in the Middle Kingdom to several thousand during the Ptolemaic Kingdom. In 1928/1929 Alan Gardiner published an overview of hieroglyphs, Gardiner's sign list, the basic modern standard. It describes 763 signs in 26 categories (A–Z, roughly). Georg Möller compiled more extensive lists, organized by historical epoch (published posthumously in 1927 and 1936). In Unicode, the block ''Egyptian Hieroglyphs'' (2009) includes 1071 signs, organization based on Gardiner's list. As of 2016, there is a proposal by Michael Everson to extend the Unicode standard to comprise Möller's list. Subsets Notable subsets of hieroglyphs: * Determinatives * Uniliteral signs * Biliteral signs * Triliteral signs * Egyptian numerals Letter classification by Gardiner List of hieroglyphs In Unicode Unicode character names follow Gardiner's sign list (padded with zeroes to three digits, i.e. Gardi ...
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Plus And Minus Signs
The plus and minus signs, and , are mathematical symbols used to represent the notions of positive and negative, respectively. In addition, represents the operation of addition, which results in a sum, while represents subtraction, resulting in a difference. Their use has been extended to many other meanings, more or less analogous. ''Plus'' and ''minus'' are Latin terms meaning "more" and "less", respectively. History Though the signs now seem as familiar as the alphabet or the Hindu-Arabic numerals, they are not of great antiquity. The Egyptian hieroglyphic sign for addition, for example, resembled a pair of legs walking in the direction in which the text was written ( Egyptian could be written either from right to left or left to right), with the reverse sign indicating subtraction: Nicole Oresme's manuscripts from the 14th century show what may be one of the earliest uses of as a sign for plus. In early 15th century Europe, the letters "P" and "M" were general ...
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