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- W3118257030 abstract "In this paper we launch an extension program for single variable expansivity theory. We study this notion under tuples of polynomials belonging to the ring $mathbb{R}[x_1,x_2,ldots,x_n]$. As an application we show that begin{align}mathrm{min}{mathrm{max}{mathrm{Ind}_{f_k}(x_{sigma(i)})}_{k=1}^{s}+1}_{i=1}^{l}&<frac{1}{l}sum limits_{i=1}^{l}mathrm{max}{mathrm{Ind}_{f_k}(x_{sigma(i)})}_{k=1}^{s}+2+mathcal{J}nonumber end{align}where $mathcal{J}:=mathcal{J}(l)geq 0$ and $mathrm{Ind}_{f_k}(x_j)$ is the largest power of $x_j$~($1leq jleq n$) in the polynomial $f_kin mathbb{R}[x_1,x_2,ldots,x_n]$." @default.
- W3118257030 created "2021-01-18" @default.
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- W3118257030 date "2021-01-01" @default.
- W3118257030 modified "2023-09-26" @default.
- W3118257030 title "Multivariate Expansivity Theory" @default.
- W3118257030 hasPublicationYear "2021" @default.
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