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.
In mathematics, a limit is the value that a function or sequence approaches as the input or index approaches some value. Limits are essential to calculus (and mathematical analysis in general) and are used to define continuity, derivatives, and integrals.