41. :However, I'm not sure what you mean by " algebraically ". 42. Robins-Shute documented the formula as algebraically derived from one RMP 42 volume formula. 43. A variety is " algebraically hyperbolic " if the special set is empty. 44. So algebraically , now we know that: 45. Complex numbers thus form an algebraically closed field, where any polynomial equation has a root. 46. Algebraically , this involves calculating the discriminant47. This was expressed algebraically as having a cost of N, and a value of N? 48. The Zariski topology is defined algebraically on the spectrum of a ring or an algebraic variety. 49. Classical algebraic varieties are the quasiprojective integral separated finite type schemes over an algebraically closed field. 50. The left and right hand sides of the equation then reduce algebraically to the same expression.
