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Here the dimension s may be large in practical applications. The restriction to integration problems over the unit cube \([0,1]^s\) is mostly for simplicity and in many cases does not impose a big limitation, since most integrals over bounded or unbounded regions can be transformed into integrals over the unit cube (although one has to be careful in choosing suitable transformations which, of course, have influence on the behavior of the transformed integrand).

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Introduction

  • 章节

  • 发表日期：

    2026年

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  • Gunther Leobacher,
  • Friedrich Pillichshammer

摘要

Here the dimension s may be large in practical applications. The restriction to integration problems over the unit cube \([0,1]^s\) is mostly for simplicity and in many cases does not impose a big limitation, since most integrals over bounded or unbounded regions can be transformed into integrals over the unit cube (although one has to be careful in choosing suitable transformations which, of course, have influence on the behavior of the transformed integrand).