infinite root

  • 1Root system — This article discusses root systems in mathematics. For root systems of plants, see root. Lie groups …

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  • 2Infinite product — In mathematics, for a sequence of numbers a 1, a 2, a 3, ... the infinite product :prod {n=1}^{infty} a n = a 1 ; a 2 ; a 3 cdotsis defined to be the limit of the partial products a 1 a 2... a n as n increases without bound. The product is said… …

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  • 3Root test — In mathematics, the root test is a criterion for the convergence (a convergence test) of an infinite series:sum {n=1}^infty a n.It is particularly useful in connection with power series. The testThe root test was developed first by Cauchy and so… …

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  • 4Infinite Joy — Infobox Musical name=Infinite Joy caption= music= William Finn lyrics= William Finn book= Revue basis= productions= 2001 Off Broadway awards= Infinite Joy is a musical revue consisting of songs by Broadway composer William Finn. The songs are… …

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  • 5Root group — A root group G, is a group together with a set of prime numbers P={p 1,p 2,...}, satisfying the axiom::g in G land pin P Rightarrow exists h in G, ; h^p=g;.To specify the set of primes, a group may be referred to as a P root group. For a single… …

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  • 6root test — Math. the theorem that a given infinite series converges if the nth root of the absolute value of the nth term approaches a limit less than 1 as n increases without bound. * * * …

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  • 7root test — Math. the theorem that a given infinite series converges if the nth root of the absolute value of the nth term approaches a limit less than 1 as n increases without bound …

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  • 8Square root of 2 — The square root of 2, also known as Pythagoras constant, often denoted by:sqrt{2} or √2but can also be written as:2^{1/2},,is the positive real number that, when multiplied by itself, gives the number 2. Its numerical value approximated to 65… …

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  • 9nth root — In mathematics, the nth root of a number x is a number r which, when raised to the power of n, equals x rn = x, where n is the degree of the root. A root of degree 2 is usually called a square root and a root of degree 3, a cube root. For example …

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  • 10Nth root — In mathematics, an n th root of a number a is a number b such that bn = a . When referring to the n th root of a real number a it is assumed that what is desired is the principal n th root of the number, which is denoted sqrt [n] {a} using the… …

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