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Sygnomial type Lagrangians - MaRDI portal

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Sygnomial type Lagrangians (Q2770392)

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scientific article; zbMATH DE number 1703224
Language Label Description Also known as
English
Sygnomial type Lagrangians
scientific article; zbMATH DE number 1703224

    Statements

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    15 January 2003
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    sygnom
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    polynomials
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    Lagrangians
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    extremals
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    Sygnomial type Lagrangians (English)
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    A sygnom is defined as an expression of the form \(\sum_{i=1}^mc_i\prod_{j=1}^n(x^j)^{a_{ij}}\) where \((x_1,\dots,x_n)\in{\mathbb R}^n\), \(c_i\in\mathbb{R}\), \(a_{ij}\in\mathbb{R}\) for all \(i,j\). If \(a_{ij}\in{\mathbb N}\), then we have ordinary polynomials. The note under review studies sygnomial type Lagrangians and their extremals. Several illustrative examples are presented.NEWLINENEWLINEFor the entire collection see [Zbl 0969.00064].
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