dimension vs order of magnitude

dimension

noun
  • One of the physical properties that are regarded as fundamental measures of a physical quantity, such as mass, length and time. 

  • A measure of spatial extent in a particular direction, such as height, width or breadth, or depth. 

  • A universe or plane of existence. 

  • The number of independent coordinates needed to specify uniquely the location of a point in a space; also, any of such independent coordinates. 

  • A construct whereby objects or individuals can be distinguished. 

  • The number of elements of any basis of a vector space. 

  • A single aspect of a given thing. 

  • Any of the independent ranges of indices in a multidimensional array. 

verb
  • To specify the size of (an array or similar data structure); to allocate. 

  • To mark, cut or shape something to specified dimensions. 

order of magnitude

noun
  • The class of scale or magnitude of any amount, where each class contains values of a fixed ratio (most often 10) to the class preceding it. For example, something that is 2 orders of magnitude larger is 100 times larger, something that is 3 orders of magnitude larger is 1000 times larger, and something that is 6 orders of magnitude larger is a million times larger, because 10² = 100, 10³ = 1000, and 10⁶ = a million. 

How often have the words dimension and order of magnitude occurred in a corpus of books? (source: Google Ngram Viewer )