using System;
using L=Science.Physics.GeneralPhysics;
using M = Science.Mathematics.Calculus;

namespace Serway.Chapter01
{
	/// <summary>
	/// Example03: Analysis of a power law
	/// Suppose we are told that the acceleration a of
	/// a particle moving with uniform speed v in a circle of radius
	/// r is proportional to some power of r, say r^n, and some power
	/// of v, say v^m. Determine the values of n and m and write the
	/// simplest form of an equation for the acceleration. 
	/// </summary>
	public class Example03
	{
		public Example03()
		{
		}
		private string result;
		public string Result
		{
			get{return result;}
		}
		public void Compute()
		{
			L.Acceleration a = new L.Acceleration();
			L.Velocity v = new L.Velocity();
			L.Length r = new L.Length();
            M.LinearEquation eq = new M.LinearEquation();

            double[,] mat = {{v.DimensionLength, r.DimensionLength},
                             {v.DimensionTime, r.DimensionTime}};

            double[] vec = { a.DimensionLength, a.DimensionTime };

            eq.Matrix = mat;
            eq.Vector = vec;
            eq.Solve();
		
			result = Convert.ToString(eq.Solution[0])+"  "+
				Convert.ToString(eq.Solution[1]);

		}	
	}
}