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arithmetic expressions

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  • Arithmetic — tables for children, Lausanne, 1835 Arithmetic or arithmetics (from the Greek word ἀριθμός, arithmos “number”) is the oldest and most elementary branch of mathematics, used b …   Wikipedia

  • Arbitrary-precision arithmetic — In computer science, arbitrary precision arithmetic indicates that calculations are performed on numbers whose digits of precision are limited only by the available memory of the host system. This contrasts with the faster fixed precision… …   Wikipedia

  • Greek arithmetic, geometry and harmonics: Thales to Plato — Ian Mueller INTRODUCTION: PROCLUS’ HISTORY OF GEOMETRY In a famous passage in Book VII of the Republic starting at Socrates proposes to inquire about the studies (mathēmata) needed to train the young people who will become leaders of the ideal… …   History of philosophy

  • Ordinal arithmetic — In the mathematical field of set theory, ordinal arithmetic describes the three usual operations on ordinal numbers: addition, multiplication, and exponentiation. Each can be defined in essentially two different ways: either by constructing an… …   Wikipedia

  • Extremal orders of an arithmetic function — In mathematics, in number theory, the extremal orders of an arithmetic function are best possible bounds of the given arithmetic function. Specifically, if f(n) is an arithmetic function and m(n) is a non decreasing function that is ultimately… …   Wikipedia

  • Laws of Form — (hereinafter LoF ) is a book by G. Spencer Brown, published in 1969, that straddles the boundary between mathematics and of philosophy. LoF describes three distinct logical systems: * The primary arithmetic (described in Chapter 4), whose models… …   Wikipedia

  • Sethi-Ullman algorithm — When generating code for arithmetic expressions, the compiler has to decide which is the best way to translate the expression in terms of number of instructions used as well as number of registers needed to evaluate a certain subtree (especially… …   Wikipedia

  • Surreal number — In mathematics, the surreal number system is an arithmetic continuum containing the real numbers as well as infinite and infinitesimal numbers, respectively larger or smaller in absolute value than any positive real number. The surreals share… …   Wikipedia

  • Propositional calculus — In mathematical logic, a propositional calculus or logic (also called sentential calculus or sentential logic) is a formal system in which formulas of a formal language may be interpreted as representing propositions. A system of inference rules… …   Wikipedia

  • Algebra of sets — The algebra of sets develops and describes the basic properties and laws of sets, the set theoretic operations of union, intersection, and complementation and the relations of set equality and set inclusion. It also provides systematic procedures …   Wikipedia

  • Operator-precedence parser — An operator precedence parser is a bottom up parser that interprets an operator precedence grammar. For example, most calculators use operator precedence parsers to convert from the human readable infix notation with order of operations format… …   Wikipedia

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