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); }