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Zenzizenzizenzic
Zenzizenzizenzic is an obsolete form of mathematical notation representing the eighth power of a number (that is, the zenzizenzizenzic of ''x'' is ''x''8), dating from a time when powers were written out in words rather than as superscript numbers. This term was suggested by Robert Recorde, a 16th-century Welsh physician, mathematician and writer of popular mathematics textbooks, in his 1557 work ''The Whetstone of Witte'' (although his spelling was ''zenzizenzizenzike''); he wrote that it "''doeth represent the square of squares squaredly''". At the time Recorde proposed this notation, there was no easy way of denoting the powers of numbers other than squares and cubes. The root word for Recorde's notation is zenzic, which is a German spelling of the medieval Italian word , meaning 'squared'. Since the square of a square of a number is its fourth power, Recorde used the word ''zenzizenzic'' (spelled by him as ''zenzizenzike'') to express it. Some of the terms had prior us ...
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Cossical Characters
Zenzizenzizenzic is an obsolete form of mathematical notation representing the eighth power of a number (that is, the zenzizenzizenzic of ''x'' is ''x''8), dating from a time when powers were written out in words rather than as superscript numbers. This term was suggested by Robert Recorde, a 16th-century Welsh physician, mathematician and writer of popular mathematics textbooks, in his 1557 work ''The Whetstone of Witte'' (although his spelling was ''zenzizenzizenzike''); he wrote that it "''doeth represent the square of squares squaredly''". At the time Recorde proposed this notation, there was no easy way of denoting the powers of numbers other than squares and cubes. The root word for Recorde's notation is zenzic, which is a German spelling of the medieval Italian word , meaning 'squared'. Since the square of a square of a number is its fourth power, Recorde used the word ''zenzizenzic'' (spelled by him as ''zenzizenzike'') to express it. Some of the terms had prior use ...
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Exponent
Exponentiation is a mathematical operation, written as , involving two numbers, the '' base'' and the ''exponent'' or ''power'' , and pronounced as " (raised) to the (power of) ". When is a positive integer, exponentiation corresponds to repeated multiplication of the base: that is, is the product of multiplying bases: b^n = \underbrace_. The exponent is usually shown as a superscript to the right of the base. In that case, is called "''b'' raised to the ''n''th power", "''b'' (raised) to the power of ''n''", "the ''n''th power of ''b''", "''b'' to the ''n''th power", or most briefly as "''b'' to the ''n''th". Starting from the basic fact stated above that, for any positive integer n, b^n is n occurrences of b all multiplied by each other, several other properties of exponentiation directly follow. In particular: \begin b^ & = \underbrace_ \\ ex& = \underbrace_ \times \underbrace_ \\ ex& = b^n \times b^m \end In other words, when multiplying a base raised to one ex ...
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Prime Factor Exponent Notation
In his 1557 work ''The Whetstone of Witte'', British mathematician Robert Recorde proposed an exponent notation by prime factorisation, which remained in use up until the eighteenth century and acquired the name ''Arabic exponent notation''. The principle of Arabic exponents was quite similar to Egyptian fractions; large exponents were broken down into smaller prime numbers. Squares and cubes were so called; prime numbers from five onwards were called ''sursolids''. Although the terms used for defining exponents differed between authors and times, the general system was the primary exponent notation until René Descartes René Descartes ( or ; ; Latinized: Renatus Cartesius; 31 March 1596 – 11 February 1650) was a French philosopher, scientist, and mathematician, widely considered a seminal figure in the emergence of modern philosophy and science. Ma ... devised the Cartesian exponent notation, which is still used today. This is a list of Recorde's terms. By c ...
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The Whetstone Of Witte
''The Whetstone of Witte'' is the shortened title of Robert Recorde's mathematics book published in 1557, the full title being ''The whetstone of , is the : The ''Coßike'' practise, with the rule of ''Equation'': and the of ''Surde Nombers. The book covers topics including whole numbers, the extraction of roots and irrational numbers. The work is notable for containing the first recorded use of the equals sign and also for being the first book in English to use the plus and minus signs. Recordian notation for exponentiation Exponentiation is a mathematical operation, written as , involving two numbers, the '' base'' and the ''exponent'' or ''power'' , and pronounced as " (raised) to the (power of) ". When is a positive integer, exponentiation corresponds to ..., however, differed from the later Cartesian notation p^q = p \times p \times p \cdots \times p. Recorde expressed indices and surds larger than 3 in a systematic form based on the prime factorization ...
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Exponentiation
Exponentiation is a mathematical operation, written as , involving two numbers, the '' base'' and the ''exponent'' or ''power'' , and pronounced as " (raised) to the (power of) ". When is a positive integer, exponentiation corresponds to repeated multiplication of the base: that is, is the product of multiplying bases: b^n = \underbrace_. The exponent is usually shown as a superscript to the right of the base. In that case, is called "''b'' raised to the ''n''th power", "''b'' (raised) to the power of ''n''", "the ''n''th power of ''b''", "''b'' to the ''n''th power", or most briefly as "''b'' to the ''n''th". Starting from the basic fact stated above that, for any positive integer n, b^n is n occurrences of b all multiplied by each other, several other properties of exponentiation directly follow. In particular: \begin b^ & = \underbrace_ \\ ex& = \underbrace_ \times \underbrace_ \\ ex& = b^n \times b^m \end In other words, when multiplying a base raised to one e ...
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Eighth Power
In arithmetic and algebra the eighth power of a number ''n'' is the result of multiplying eight instances of ''n'' together. So: :. Eighth powers are also formed by multiplying a number by its seventh power, or the fourth power of a number by itself. The sequence of eighth powers of integers is: :0, 1, 256, 6561, 65536, 390625, 1679616, 5764801, 16777216, 43046721, 100000000, 214358881, 429981696, 815730721, 1475789056, 2562890625, 4294967296, 6975757441, 11019960576, 16983563041, 25600000000, 37822859361, 54875873536, 78310985281, 110075314176, 152587890625 ... In the archaic notation of Robert Recorde, the eighth power of a number was called the " zenzizenzizenzic". Algebra and number theory Polynomial equations of degree 8 are octic equations. These have the form :ax^8+bx^7+cx^6+dx^5+ex^4+fx^3+gx^2+hx+k=0.\, The smallest known eighth power that can be written as a sum of eight eighth powers isQuoted in :1409^8 = 1324^8 + 1190^8 + 1088^8 + 748^8 + 524^8 + 478^8 + 223^8 + ...
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Mathematical Notation
Mathematical notation consists of using symbols for representing operations, unspecified numbers, relations and any other mathematical objects, and assembling them into expressions and formulas. Mathematical notation is widely used in mathematics, science, and engineering for representing complex concepts and properties in a concise, unambiguous and accurate way. For example, Albert Einstein's equation E=mc^2 is the quantitative representation in mathematical notation of the mass–energy equivalence. Mathematical notation was first introduced by François Viète at the end of the 16th century, and largely expanded during the 17th and 18th century by René Descartes, Isaac Newton, Gottfried Wilhelm Leibniz, and overall Leonhard Euler. Symbols The use of many symbols is the basis of mathematical notation. They play a similar role as words in natural languages. They may play different roles in mathematical notation similarly as verbs, adjective and nouns play different r ...
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History Of Mathematics
The history of mathematics deals with the origin of discoveries in mathematics and the mathematical methods and notation of the past. Before the modern age and the worldwide spread of knowledge, written examples of new mathematical developments have come to light only in a few locales. From 3000 BC the Mesopotamian states of Sumer, Akkad and Assyria, followed closely by Ancient Egypt and the Levantine state of Ebla began using arithmetic, algebra and geometry for purposes of taxation, commerce, trade and also in the patterns in nature, the field of astronomy and to record time and formulate calendars. The earliest mathematical texts available are from Mesopotamia and Egypt – '' Plimpton 322'' ( Babylonian c. 2000 – 1900 BC), the ''Rhind Mathematical Papyrus'' ( Egyptian c. 1800 BC) and the '' Moscow Mathematical Papyrus'' (Egyptian c. 1890 BC). All of these texts mention the so-called Pythagorean triples, so, by inference, the Pythagorean theorem seems to be the most anci ...
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Archaic English Words And Phrases
Archaic is a period of time preceding a designated classical period, or something from an older period of time that is also not found or used currently: *List of archaeological periods **Archaic Sumerian language, spoken between 31st - 26th centuries BC in Mesopotamia (Classical Sumerian is from 26th - 23rd centuries BC). **Archaic Greece **Archaic period in the Americas **Early Dynastic Period of Egypt * Archaic Homo sapiens, people who lived about 300,000 to 30,000 B.P. (this is far earlier than the archaeological definition) *Archaism, speech or writing in a form that is no longer current * Archaic language, one that preserves features that are no longer present in other languages of the same language family * List of archaic musical instruments *Archaic Latin Old Latin, also known as Early Latin or Archaic Latin (Classical la, prīsca Latīnitās, lit=ancient Latinity), was the Latin language in the period before 75 BC, i.e. before the age of Classical Latin. It descen ...
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Oxford English Dictionary
The ''Oxford English Dictionary'' (''OED'') is the first and foundational historical dictionary of the English language, published by Oxford University Press (OUP). It traces the historical development of the English language, providing a comprehensive resource to scholars and academic researchers, as well as describing usage in its many variations throughout the world. Work began on the dictionary in 1857, but it was only in 1884 that it began to be published in unbound fascicles as work continued on the project, under the name of ''A New English Dictionary on Historical Principles; Founded Mainly on the Materials Collected by The Philological Society''. In 1895, the title ''The Oxford English Dictionary'' was first used unofficially on the covers of the series, and in 1928 the full dictionary was republished in 10 bound volumes. In 1933, the title ''The Oxford English Dictionary'' fully replaced the former name in all occurrences in its reprinting as 12 volumes with a one- ...
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Sursolid
In arithmetic and algebra, the fifth power or sursolid of a number ''n'' is the result of multiplying five instances of ''n'' together: :. Fifth powers are also formed by multiplying a number by its fourth power, or the square of a number by its cube. The sequence of fifth powers of integers is: :0, 1, 32, 243, 1024, 3125, 7776, 16807, 32768, 59049, 100000, 161051, 248832, 371293, 537824, 759375, 1048576, 1419857, 1889568, 2476099, 3200000, 4084101, 5153632, 6436343, 7962624, 9765625, ... Properties For any integer ''n'', the last decimal digit of ''n''5 is the same as the last (decimal) digit of ''n''. I.E: : n \equiv n^5\pmod By the Abel–Ruffini theorem, there is no general algebraic formula (formula expressed in terms of radical expressions) for the solution of polynomial equations containing a fifth power of the unknown as their highest power. This is the lowest power for which this is true. See quintic equation, sextic equation, and septic equation. Along with t ...
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Samuel Jeake
Samuel Jeake (1623–1690), dubbed the Elder to distinguish him from his son, was an English merchant, nonconformist, antiquary and astrologer from Rye, East Sussex, England. Life Born at Rye in Sussex, on 9 October 1623, he may have belonged to one of the French Protestant families who settled in the county at the end of the 16th century: the name Jeake, written also Jake, Jaque, Jeakes, and Jacque, does point to a French origin. Samuel's father was a baker. His mother, a pious woman, was daughter of the Rev. John Pearson of Peasmarsh, Sussex; she died 20 November 1639. In 1640 Samuel severed his connection with the Church of England, and was appointed minister of a conventicle, apparently Baptist. He later became an attorney-at-law at Rye, and in 1651 was made a freeman and common, or town, clerk. This office he resigned, or was deprived of, after the passing of the act of 1661 excluding dissenters from municipal corporations. As a sectarian preacher, Jeake frequently cla ...
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