Each gust of the clouded mood that seemed warmed by the heat of a heart flaming with anger has its counterpart in the chilly blasts that seem blown from a breast turned to ice with a sudden revulsion of feeling.
The dimension is the number of bases in the COLUMN SPACE of the matrix representing a linear function between two spaces. i.e. if you have a linear function mapping R3 --> R2 then the column space of the matrix representing this function will have dimension 2 and the nullity will be 1.
A tesseract is an example of a four-dimensional object. Whereas outside mathematics the use of the term dimension is as in: A tesseract has four dimensions , mathematicians usually express this as: The tesseract has dimension 4 , or: The dimension of the tesseract is 4.