arithmetic-geometric series

arithmetic-geometric series
мат.
арифметико-геометрический ряд

English-Russian scientific dictionary. 2008.

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  • Arithmetic-geometric mean — In mathematics, the arithmetic geometric mean (AGM) of two positive real numbers x and y is defined as follows:First compute the arithmetic mean of x and y and call it a 1. Next compute the geometric mean of x and y and call it g 1; this is the… …   Wikipedia

  • geometric series — noun a geometric progression written as a sum • Hypernyms: ↑series * * * geoˌmetric proˈgression [geometric progression] (also geoˌmetric ˈseries) …   Useful english dictionary

  • Geometric progression — In mathematics, a geometric progression, also known as a geometric sequence, is a sequence of numbers where each term after the first is found by multiplying the previous one by a fixed non zero number called the common ratio . For example, the… …   Wikipedia

  • Arithmetic mean — In mathematics and statistics, the arithmetic mean, often referred to as simply the mean or average when the context is clear, is a method to derive the central tendency of a sample space. The term arithmetic mean is preferred in mathematics and… …   Wikipedia

  • Series (mathematics) — A series is the sum of the terms of a sequence. Finite sequences and series have defined first and last terms, whereas infinite sequences and series continue indefinitely.[1] In mathematics, given an infinite sequence of numbers { an } …   Wikipedia

  • Geometric group theory — is an area in mathematics devoted to the study of finitely generated groups via exploring the connections between algebraic properties of such groups and topological and geometric properties of spaces on which these groups act (that is, when the… …   Wikipedia

  • Arithmetic progression — In mathematics, an arithmetic progression or arithmetic sequence is a sequence of numbers such that the difference of any two successive members of the sequence is a constant. For instance, the sequence 3, 5, 7, 9, 11, 13... is an arithmetic… …   Wikipedia

  • Geometric median — The geometric median of a discrete set of sample points in a Euclidean space is the point minimizing the sum of distances to the sample points. This generalizes the median, which has the property of minimizing the sum of distances for one… …   Wikipedia

  • Geometric Mean — The average of a set of products, the calculation of which is commonly used to determine the performance results of an investment or portfolio. Technically defined as the n th root product of n numbers , the formula for calculating geometric mean …   Investment dictionary

  • arithmetic progression — noun (mathematics) a progression in which a constant is added to each term in order to obtain the next term 1 4 7 10 13 is the start of an arithmetic progression • Topics: ↑mathematics, ↑math, ↑maths • Hypernyms: ↑progression, ↑ …   Useful english dictionary

  • geometric progression — noun (mathematics) a progression in which each term is multiplied by a constant in order to obtain the next term 1 4 16 64 256 is the start of a geometric progression • Topics: ↑mathematics, ↑math, ↑maths • Hypernyms: ↑progression, ↑ …   Useful english dictionary


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