// Initialize GcWordDocument.
var doc = new GcWordDocument();
var om = doc.Body.AddParagraph().AddOMathParagraph().AddOMath();

// Add f(x)=a0+ to the paragraph.
om.AddRun("f");

// Add delimiter. It inserts ( and ) before and after its items.
om.AddDelimiter(new string[] { "x" });
om.AddRun("=");
om.AddSubscript("a", "0");
om.AddRun("+");

// Add sum from 1 till infinity.
var nary = om.AddNary("", "n=1", "∞", "∑");
nary.Grow = true;

// Add delimeters "()".
var deli = nary.Base.AddDelimiter();
var item = deli.Items.Add();

// Add an cos nπx/L.
item.AddSubscript("a", "n");

var func = item.AddFunction();
func.Name.AddRun("cos").OMathFormat.IsNormalText = true;
func.Argument.AddFraction("nπx", "L", null);

// Add + bn sin nπx/L.
item.AddRun("+");
item.AddSubscript("b", "n");

func = item.AddFunction("", "");
func.Name.AddRun("sin").OMathFormat.IsNormalText = true;
func.Argument.AddFraction("nπx", "L", null);

// Save the Word document.
doc.Save("Equation.docx");

// Initialize GcWordDocument.
var sampleDoc = new GcWordDocument();
var om = sampleDoc.Body.AddParagraph().AddOMathParagraph().AddOMath();

// Add ∃x.
om.AddRun("∃x");

// Add delimiter. It inserts ( and ) before and after its items.
var item = om.AddDelimiter().Items.Add();

// Add equation.
item.AddRun("Person").OMathFormat.IsNormalText = true;
item.AddDelimiter(new string[] { "x" });
item.AddRun("∧∀y");
item = item.AddDelimiter().Items.Add();
item.AddRun("Time").OMathFormat.IsNormalText = true;
item.AddDelimiter(new string[] { "y" });
item.AddRun("→");
item.AddRun("Happy").OMathFormat.IsNormalText = true;
item.AddDelimiter(new string[] { "x,y" });

// Save the Word document.
sampleDoc.Save("Equation.docx");

// Initialize GcWordDocument.
var sampleDoc = new GcWordDocument();
var om = sampleDoc.Body.AddParagraph().AddOMathParagraph().AddOMath();

// Add equation.
var func = om.AddFunction("sin", "α");
func.Name.GetRange().Runs.First.Font.Italic = false;
om.AddRun("±");
func = om.AddFunction("sin", "β");
func.Name.GetRange().Runs.First.Font.Italic = false;
om.AddRun("=2");
func = om.AddFunction("sin", "");
func.Name.GetRange().Runs.First.Font.Italic = false;
func.Argument.AddFraction("1", "2", null);
func.Argument.AddDelimiter(new string[] { "α±β" });
func = om.AddFunction("cos", "");
func.Name.GetRange().Runs.First.Font.Italic = false;
func.Argument.AddFraction("1", "2", null);
func.Argument.AddDelimiter(new string[] { "α∓β" });

// Save the Word document.
sampleDoc.Save("Equation.docx");

// Initialize GcWordDocument.
var sampleDoc = new GcWordDocument();
var om = sampleDoc.Body.AddParagraph().AddOMathParagraph().AddOMath();

// Add equation.
om.AddRun("Z");
om.AddDelimiter(new string[] { "υ" });
om.AddRun("=");
var frac = om.AddFraction("1", "", null);
var radical = frac.Denominator.AddRadical();
radical.Radicand.AddRun("π");
radical.HideDegree = true;
var nary = om.AddNary("", "-∞", "∞", "∫");
frac = nary.Base.AddFraction();
var superscript = frac.Numerator.AddSuperscript("e", "");
superscript.Superscript.AddSuperscript("-t", "2");
frac.Numerator.AddRun("dt");
frac.Denominator.AddRun("t-i");
frac.Denominator.AddRun("υ").Font.Bidi = true;
om.AddRun("=i");
nary = om.AddNary("", "0", "∞", "∫");
superscript = nary.Base.AddSuperscript("e", "-υt-");
superscript.Superscript.AddSuperscript("t", "2");
superscript.Superscript.AddRun("/4");
nary.Base.AddRun("dt");

// Save the Word document.
sampleDoc.Save("Equation.docx");

// Initialize GcWordDocument.
var sampleDoc = new GcWordDocument();
var om = sampleDoc.Body.AddParagraph().AddOMathParagraph().AddOMath();

// Add first delimiter.
var delimiter = om.AddDelimiter();
var item = delimiter.Items.Add();

// Add first matrix.
var matrix = item.AddMatrix(3, 1);

foreach (var column in matrix.Columns)
    column.HorizontalAlignment = OMathHorizontalAlignment.Center;
matrix.Rows[0].Cells[0].AddRun("U");
matrix.Rows[0].Cells[0].AddDelimiter(new string[] { "t" });
matrix.Rows[1].Cells[0].AddRun("V");
matrix.Rows[1].Cells[0].AddDelimiter(new string[] { "t" });
matrix.Rows[2].Cells[0].AddRun("W");
matrix.Rows[2].Cells[0].AddDelimiter(new string[] { "t" });

om.AddRun("=");
            
// Add second delimiter.
delimiter = om.AddDelimiter();
item = delimiter.Items.Add();

// Add second matrix.
matrix = item.AddMatrix(3, 3);
foreach (var column in matrix.Columns)
    column.HorizontalAlignment = OMathHorizontalAlignment.Center;

matrix.Rows[0].Cells[0].AddRun("1");
matrix.Rows[0].Cells[1].AddRun("0");
matrix.Rows[0].Cells[2].AddRun("0");

matrix.Rows[1].Cells[0].AddRun("0");
matrix.Rows[1].Cells[1].AddFunction("cos", "Rt").Name.GetRange().Runs.First.Font.Italic = false;
matrix.Rows[1].Cells[2].AddRun("-");
matrix.Rows[1].Cells[2].AddFunction("sin", "Rt").Name.GetRange().Runs.First.Font.Italic = false;

matrix.Rows[2].Cells[0].AddRun("0");
matrix.Rows[2].Cells[1].AddFunction("sin", "Rt").Name.GetRange().Runs.First.Font.Italic = false;
matrix.Rows[2].Cells[2].AddFunction("cos", "Rt").Name.GetRange().Runs.First.Font.Italic = false;

// Add third delimiter.
delimiter = om.AddDelimiter();
item = delimiter.Items.Add();

// Add third matrix.
matrix = item.AddMatrix(3, 1);

foreach (var column in matrix.Columns)
    column.HorizontalAlignment = OMathHorizontalAlignment.Center;
matrix.Rows[0].Cells[0].AddRun("U");
matrix.Rows[0].Cells[0].AddDelimiter(new string[] { "0" });
matrix.Rows[1].Cells[0].AddRun("V");
matrix.Rows[1].Cells[0].AddDelimiter(new string[] { "0" });
matrix.Rows[2].Cells[0].AddRun("W");
matrix.Rows[2].Cells[0].AddDelimiter(new string[] { "0" });

// Save the Word document.
sampleDoc.Save("Equation.docx");