Conditional Convergence definition of Conditional Convergence in the Free Online Encyclopedia.

conditional convergence [kən′dish·ən·əl kən′vər·jəns]

(mathematics)

The property of a series that is convergent but not absolutely convergent.

Conditional Convergence

a concept of mathematical analysis. The series

is said to be conditionally convergent if it is convergent and the series

(whose terms are the absolute values of the terms of the original series) is divergent.

For example, the series

is conditionally convergent, since the absolute values of its terms form the divergent, harmonic series

If a series is conditionally convergent, then the two series consisting of its positive and negative terms, respectively, are divergent. According to Riemann’s theorem, by an appropriate rearrangement of the terms of a given conditionally convergent series we can obtain a divergent series or a series that has a prescribed sum. If two conditionally convergent series are multiplied term by term, a divergent series may result.

The concept of conditional convergence can be extended to series of vectors, to infinite products, and to improper integrals.

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No references found	The neo-classical theory of conditional convergence was strongly confirmed by the relative growth records in the 1960s. The European Economy Since 1945. Coordinated Capitalism and Beyond by Spechler, Martin C. / Comparative Economic Studies Income is included in the relation to represent the conditional convergence (as suggested by Perotti). Income inequality and economic growth in developing countries: an ... by Samanta, Subarna K.; Heyse, Allison / Indian Journal of Economics and Business Their results provide evidence of significant conditional convergence at a relatively high speed. Technological diffusion and productivity convergence: a study for ... by Frantzen, Dirk / Southern Economic Journal	condensin complex condensing electrometer condensing engine condensing flow condensing gas drive condensing routine Condensing Turbine condensing unit Condillac, Étienne Bonnot de Condillac, Etienne Bonnot de Mably de Condillac, Étienne Bonnot de Mably de Condit, Carl W. condition condition appraisal condition code condition entries condition monitoring condition out condition portion condition stub condition-based maintenance conditional conditional assembly conditional branch conditional breakpoint Conditional Convergence Conditional Conviction conditional distribution conditional expectation conditional expression conditional frequency conditional implication conditional inequality conditional instability conditional jump conditional lethal mutant conditional probability Conditional Relative Extremum Conditional Release with Compulsory Labor conditional replenishment conditional statement conditional transfer conditionally compact set conditionally periodic motion conditionally stable circuit conditioned air Conditioned Inhibition conditioned line Conditioned Reflex Conditioned Stimulus conditioned stop instruction	Conditional Access Packet Conditional Access Processor Conditional access system Conditional Access Table conditional assembly Conditional Average Run Length Conditional baptism conditional bequest Conditional bias Conditional branch conditional breakpoint Conditional call Conditional Call Option Conditional call options Conditional Calls Conditional Capacity Availability Statement Conditional Cash Transfer Programme conditional commitment Conditional complexity Conditional Conflict Serializability conditional constraint optimization problem conditional contract Conditional Contract to Sell Conditional Convergence Conditional Convertible conditional conveyance of land Conditional Conviction Conditional Core Damage Probability Conditional Cramer-Rao Bound conditional deed held in trust Conditional Default Rate conditional deliverance Conditional Demand Analysis Conditional Dependence Conditional Disability Discharge Tracking System Conditional discharge Conditional discharge Conditional discharge Conditional discharge conditional discharges conditional discharges conditional discharges conditional disenthrallment conditional disimprisonment Conditional distribution Conditional Dynamic Linear Model conditional emancipation conditional endorsement Conditional Even Algebra conditional event Conditional Exemption Conditional expectation Conditional expected value

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The neo-classical theory of conditional convergence was strongly confirmed by the relative growth records in the 1960s.

The European Economy Since 1945. Coordinated Capitalism and Beyond by Spechler, Martin C. / Comparative Economic Studies

Income is included in the relation to represent the conditional convergence (as suggested by Perotti).

Income inequality and economic growth in developing countries: an ... by Samanta, Subarna K.; Heyse, Allison / Indian Journal of Economics and Business

Their results provide evidence of significant conditional convergence at a relatively high speed.

Technological diffusion and productivity convergence: a study for ... by Frantzen, Dirk / Southern Economic Journal

condensin complex