Sentence examples for multidimensional version is from inspiring English sources

But mainly, we claim that this theorem is an immediate consequence of the following unidimensional result (a two-dimensional version of the following result can be found in [2], a multidimensional version is in [3]), which can be seen as a natural extension of Ran and Reurings' theorem [4] and Nieto and Rodríguez-López's theorem [5].

According to Kuhn and Tucker [27, p. 113], a multidimensional version of this is implicit in the paper.

Another approach to the Suita conjecture from [28] and its multidimensional version from [31] are also discussed.

The first lemma is a variation of Lemma 2.6 of Fazekas and Tómács [10] and is a multidimensional version of the Kronecker lemma.

This method is used to solve a multidimensional version of the viscous Burgers equation, and a heterogeneous advection equation.

A multidimensional version of this equivalence theorem concerning Hardy-type inequalities was proved by Oguntuase et al. [12].

Then there are multidimensional versions of membranes (2-branes, 3-branes, etc)., which work as reminders of why the author's mother's head hurt.

For multidimensional version of Theorem 1.2 see [3].

The German version of the Multidimensional Pain Inventory is a self-reported 51-item inventory with eleven subscales: pain severity, interference due to pain, life control, affective distress (synonymously described as negative mood), support, punishing responses, solicitous responses, distracting responses, social and recreational activities, household chores, and activities away from home [ 27].

Various versions of multidimensional scaling were used as a method of comparison.

The FACT-General (FACT-G) Version 4 is a 27-item core multidimensional questionnaire evaluating various domains of QL including physical, functional, family, social, and emotional domains.