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Universalium. 2010.
interval of convergence — Math. an interval associated with a given power series such that the series converges for all values of the variable inside the interval and diverges for all values outside it. Cf. circle of convergence … Useful english dictionary
Convergence tests — In mathematics, convergence tests are methods of testing for the convergence, conditional convergence, absolute convergence, interval of convergence or divergence of an infinite series. Contents 1 List of tests 2 Comparison 3 Examples … Wikipedia
Convergence problem — In the analytic theory of continued fractions, the convergence problem is the determination of conditions on the partial numerators ai and partial denominators bi that are sufficient to guarantee the convergence of the continued fraction This… … Wikipedia
Convergence of Fourier series — In mathematics, the question of whether the Fourier series of a periodic function converges to the given function is researched by a field known as classical harmonic analysis, a branch of pure mathematics. Convergence is not necessarily a given… … Wikipedia
Convergence of measures — In mathematics, more specifically measure theory, there are various notions of the convergence of measures. Three of the most common notions of convergence are described below. Contents 1 Total variation convergence of measures 2 Strong… … Wikipedia
convergence — /keuhn verr jeuhns/, n. 1. an act or instance of converging. 2. a convergent state or quality. 3. the degree or point at which lines, objects, etc., converge. 4. Ophthalm. a coordinated turning of the eyes to bear upon a near point. 5. Physics. a … Universalium
circle of convergence — Math. a circle associated with a given power series such that the series converges for all values of the variable inside the circle and diverges for all values outside it. Cf. interval of convergence. * * * … Universalium
circle of convergence — Math. a circle associated with a given power series such that the series converges for all values of the variable inside the circle and diverges for all values outside it. Cf. interval of convergence … Useful english dictionary
Uniform convergence — In the mathematical field of analysis, uniform convergence is a type of convergence stronger than pointwise convergence. A sequence {fn} of functions converges uniformly to a limiting function f if the speed of convergence of fn(x) to f(x) does… … Wikipedia
Absolute convergence — In mathematics, a series (or sometimes also an integral) of numbers is said to converge absolutely if the sum (or integral) of the absolute value of the summand or integrand is finite. More precisely, a real or complex series is said to converge… … Wikipedia
