Search results for "Complex-valued function"

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On the inductive inference of recursive real-valued functions

1999

AbstractWe combine traditional studies of inductive inference and classical continuous mathematics to produce a study of learning real-valued functions. We consider two possible ways to model the learning by example of functions with domain and range the real numbers. The first approach considers functions as represented by computable analytic functions. The second considers arbitrary computable functions of recursive real numbers. In each case we find natural examples of learnable classes of functions and unlearnable classes of functions.

Complex-valued functionGeneral Computer ScienceReal analysisLearning theoryComputable numberInductive inference0102 computer and information sciences02 engineering and technology01 natural sciencesμ-recursive functionComputable analysisTheoretical Computer ScienceAlgebraμ operatorComputable functionReal-valued computationReal-valued function010201 computation theory & mathematics0202 electrical engineering electronic engineering information engineering020201 artificial intelligence & image processingAlgorithmComputer Science(all)MathematicsTheoretical Computer Science
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Nonexistence of global weak solutions for a nonlinear Schrodinger equation in an exterior domain

2020

We study the large-time behavior of solutions to the nonlinear exterior problem L u ( t , x ) = &kappa

Pure mathematicsPhysics and Astronomy (miscellaneous)General MathematicsGlobal weak solution01 natural sciencesDomain (mathematical analysis)symbols.namesakeSettore MAT/05 - Analisi MatematicaComputer Science (miscellaneous)Neumann boundary conditionNonlinear Schrödinger equationBall (mathematics)0101 mathematicsNonlinear Schrödinger equationPhysicsComplex-valued functionOpen unitOperator (physics)lcsh:Mathematics010102 general mathematicsUnit normal vectorlcsh:QA1-939010101 applied mathematicsMathematics::LogicChemistry (miscellaneous)symbolsExterior domainNonhomegeneous Neumann boundary condition
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