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.
Geometry is one of the classical disciplines of math. Roughly translating in Greek as Earth Measurement, it is concerned with the properties of space and figures. It is primarily developed to be a practical guide for measuring lengths, areas, and volumes, and is still in use up to now.