norming

Pluralnormings

1. 1
   verb

   Present participle and gerund of norm.

   Researchers are norming the questionnaire before its wider release.

   Norming the rating scale required data from thousands of participants.

   Note

   The -ing form does two jobs. After be it makes the progressive (they are norming the space), and on its own it names the act (norming a space comes first). As a gerund it still takes a direct object. Once it takes of instead, as in the norming of a space, it has become the mathematical noun, and only the noun has a plural, normings.

2. 2
   nouncountable or uncountable

   The process of equipping a vector space, or a similar structure, with a norm.

   The norming of the vector space allowed distances between its elements to be defined.

   Functional analysis often begins with the norming of an abstract space.

   Note

   Analysts norm a space by giving each element a length that behaves well. Only the zero vector has length zero, scaling a vector by k scales its length by |k|, and the triangle inequality holds. Distance then comes free, because the length of u − v measures how far apart two elements are. The noun is both countable and uncountable, so you can speak of norming in general or of a particular norming.

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