public static int Test_UnitVector_Col_Row_Accessors()
{
List <double> initer = new List <double> {
1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16
}; //init matrix vector
SquareRealMatrix A = new SquareRealMatrix(4, 4, initer); //create 4X4 matrix
A.Name = "A"; //give it a name
UnitVectorSpace uvs = new UnitVectorSpace(4); //Create unit vector space to use
UnitVector e2 = new UnitVector("e2", 4, RowColumn.Column);
UnitVector e2_p = new UnitVector("e2", 4, RowColumn.Row);
RealVector rv = A * e2;
StringBuilder sb = new StringBuilder();//Start building latex
sb.Append(@"\begin{aligned}");
sb.AppendFormat(@"&A = &{0} \\ \\", A.ToLatex()); //Display Original A matrix
sb.Append(@"&A_{.2} = &" + rv.ToLatex() + @" \\ \\");
RealVector rvRow = e2_p * A;
sb.Append(@"&A_{2.}' = &" + rvRow.ToLatex());
sb.Append(@"\end{aligned}");
HtmlOutputMethods.WriteLatexEqToHtmlAndLaunch(sb.ToString(), "Test_UnitVector_Col_Row_Accessors.html"); //display Latex via mathjax
return(0);
}
public static int Test_OneVector_OneVector()
{
UnitVectorSpace uvs = new UnitVectorSpace(3);
HtmlOutputMethods.WriteLatexEqToHtmlAndLaunch(uvs.OneVector().ToLatex("F"), "Test_OneVector_OneVector.html");
return(0);
}
public static int Test_UnitVectorSpace_UnitVectorSpace()
{
UnitVectorSpace uvs = new UnitVectorSpace(3);
HtmlOutputMethods.WriteLatexEqToHtmlAndLaunch(uvs.ToLatex(), "Test_UnitVectorSpace_UnitVectorSpace.html");
return(0);
}
public static int Test_UnitVectorProductTo_ElementaryMatrix()
{
UnitVectorSpace uvs = new UnitVectorSpace(4); //Order four Unit Vector Space
UnitVector e2 = uvs["e2"]; // order 4 e2 unit vector
UnitVector e1 = uvs["e1"]; //order 4 e1 unit operator
ElementaryMatrix em = e2 * e1; //product of Unit Vectors
HtmlOutputMethods.WriteLatexEqToHtmlAndLaunch(em.ToLatex("F"), "Test_UnitVectorProductTo_ElementaryMatrix.html"); //display Latex via mathjax
return(0);
}
public static int Test_UnitVectorProduct_ToInt()
{
UnitVectorSpace uvs = new UnitVectorSpace(4); //Order four Unit Vector Space
UnitVector e1 = uvs["e1"]; //order 4 e1 unit operator
e1.IsRowOrColumn = RowColumn.Row;
UnitVector e2 = uvs["e2"]; // order 4 e2 unit vector
int dp = e1 * e2; //product of Unit Vectors
UnitVector e2prime = new UnitVector("e2", 4, RowColumn.Row);
int dp2 = e2prime * e2;
string latex = "e'_{1}e_{2} = " + dp.ToString() + @"\;,e'_{2}e_{2} = " + dp2.ToString();
HtmlOutputMethods.WriteLatexEqToHtmlAndLaunch(latex, "Test_UnitVectorProduct_ToInt.html"); //display Latex via mathjax
return(0);
}