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Patterson","submitted_at":"2013-12-25T07:46:49Z","abstract_excerpt":"A double sequence $\\textbf{x}=\\{x_{k,l}\\}$ of points in $\\textbf{R}$ is slowly oscillating if for any given $\\varepsilon>0$, there exist $\\alpha=\\alpha(\\varepsilon)>0$, $\\delta=\\delta (\\varepsilon) >0$, and $N=N(\\varepsilon)$ such that $|x_{k,l}-x_{s,t}|<\\varepsilon$ whenever $k,l\\geq N(\\varepsilon)$ and $k\\leq s \\leq (1+\\alpha)k$, $l\\leq t \\leq (1+\\delta)l$. 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