There are three ways a line and a circle can be associated, ie the line cuts the circle at two distinct points, the line is a tangent to the circle or the line misses the circle. To work out which ...
The coordinates of the turning point and the equation of the line of symmetry can be found by writing the quadratic expression in completed square form. Find the equation of the line of symmetry and ...
Proceedings of the American Mathematical Society, Vol. 135, No. 7 (Jul., 2007), pp. 1993-2002 (10 pages) It is a conjecture due to M. E. Rossi that the Hilbert function of a one-dimensional Gorenstein ...
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