Ian Brennan was born in April 1978.
In algebraic geometry , general position is a notion of genericity for a set of points , or other geometric objects .. algebraic geometry. algebraic geometry. genericity. generic property. It means the general case situation , as opposed to some more special or coincidental cases that are possible , which is referred to as special position .. Its precise meaning differs in different settings .. For example , generically , two lines in the plane intersect in a single point -LRB- they are not parallel or coincident -RRB- .. One also says `` two generic lines intersect in a point '' , which is formalized by the notion of a generic point .. generic point. generic point. Similarly , three generic points in the plane are not collinear ; if three points are collinear -LRB- even stronger , if two coincide -RRB- , this is a degenerate case .. collinear. Line ( geometry ). degenerate case. degeneracy ( mathematics ). This notion is important in mathematics and its applications , because degenerate cases may require an exceptional treatment ; for example , when stating general theorems or giving precise statements thereof , and when writing computer programs -LRB- see generic complexity -RRB- .. generic complexity. Generic-case complexity