One type of this quantity is defined by assuming it equals number one, then inductively increasing its value by one every time a set is "stretched" such that the closure of a subset V includes every open set X containing a point.
One type of this quantity is defined by assuming it equals number one, then inductively increasing its value by one every time a set is "stretched" such that the closure of a subset V includes every open set X containing a point. Richard Bellman coined the term for the so-called "curse" of this quantity, which makes solving nearest neighbor searches hard when n is greater than two. In linear algebra, the rank-nullity theorem states that the rank plus the kernel of a matrix equals this value. Fractals often taken on non-integer values for the Hausdorff form of this quantity. For 10 points, name this quantity that is the number of coordinates needed to specify a point in an object, which may be one for a line and two for a square.
One type of this quantity is defined by assuming it equals number one, then inductively increasing its value by one every time a set is "stretched" such that the closure of a subset V includes every open set X containing a point.
dimension [or inductive dimension; or Hausdorff dimension] 