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ideal number

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  • Ideal number — In mathematics an ideal number is an algebraic integer which represents an ideal in the ring of integers of a number field; the idea was developed by Ernst Kummer, and led to Richard Dedekind s definition of ideals for rings. An ideal in the ring …   Wikipedia

  • IDEAL — is an Internet payment method in The Netherlands, based on online banking. Introduced in 2005, this payment method allows customers to buy securely on the Internet using direct online transfers from their bank account. iDEAL processed in 2007 15… …   Wikipedia

  • Number 1 (Goldfrapp song) — Number 1 Single by Goldfrapp from the album Supernature B side …   Wikipedia

  • Ideal class group — In mathematics, the extent to which unique factorization fails in the ring of integers of an algebraic number field (or more generally any Dedekind domain) can be described by a certain group known as an ideal class group (or class group). If… …   Wikipedia

  • Ideal (ring theory) — In ring theory, a branch of abstract algebra, an ideal is a special subset of a ring. The ideal concept allows the generalization in an appropriate way of some important properties of integers like even number or multiple of 3 . For instance, in… …   Wikipedia

  • Ideal chain — An ideal chain (or freely jointed chain) is the simplest model to describe a polymer. It only assumes a polymer as a random walk and neglects any kind of interactions among monomers. Although it is simple, its generality gives us some insights… …   Wikipedia

  • Ideal norm — In commutative algebra, the norm of an ideal is a generalization of a norm of an element in the field extension. It is particularly important in number theory since it measures the size of an ideal of a complicated number ring in terms of an… …   Wikipedia

  • Ideal gas — Thermodynamics …   Wikipedia

  • Ideal gas law — The ideal gas law is the equation of state of a hypothetical ideal gas, first stated by Benoît Paul Émile Clapeyron in 1834. : The state of an amount of gas is determined by its pressure, volume, and temperature according to the equation: : PV =… …   Wikipedia

  • Ideal (set theory) — In the mathematical field of set theory, an ideal is a collection of sets that are considered to be small or negligible . Every subset of an element of the ideal must also be in the ideal (this codifies the idea that an ideal is a notion of… …   Wikipedia

  • Number theory — A Lehmer sieve an analog computer once used for finding primes and solving simple diophantine equations. Number theory is a branch of pure mathematics devoted primarily to the study of the integers. Number theorists study prime numbers (the… …   Wikipedia

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