## Abstract

Following Stein and Alpert (1993) (SA, in brief) The proposed method for two factors The value of any predicted field f depends on the initial and boundary conditions, as well as the model itself. If a continuous change is made in any factor ψ, the resulting field f in general changes in a continuous manner as well. This can be mathematically formulated as follows. Let the factor ψ be multiplied by a changing coefficient c so that The resulting field f is a continuous function of c: so that f(1) is the value of f in the control simulation, and f(0) is the value of f in the simulation where the factor ψ is omitted. In the notation that follows, f_{0} and f_{1} are used for f(0) and f(1), respectively. It is always possible to decompose any function f(c) into a constant part, that is independent of c, and a c-dependent component, such that. In this simple example, and It is important to understand the meaning of and, the latter being a short form for. The term represents that fraction of f that is induced by the factor ψ, while is the remaining part that does not depend on factor ψ.

Original language | English |
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Title of host publication | Factor Separation in the Atmosphere |

Subtitle of host publication | Applications and Future Prospects |

Publisher | Cambridge University Press |

Pages | 5-10 |

Number of pages | 6 |

Volume | 9780521191739 |

ISBN (Electronic) | 9780511921414 |

ISBN (Print) | 9780521191739 |

DOIs | |

State | Published - 1 Jan 2011 |