AngouriMath
Union(AngouriMath.Entity,AngouriMath.Entity)
Method (no overloads)
Parameter "a"
Left argument node of which the union set node will be taken
Parameter "b"
Right argument node of which the union set node will be taken
Returns
A node
Example
using AngouriMath;
using System;
using static AngouriMath.Entity.Set;
using static AngouriMath.MathS;
using static AngouriMath.MathS.Sets;
var set1 = Finite(1, 2, 3);
var set2 = Finite(2, 3, 4);
var set3 = MathS.Interval(-6, 2);
var set4 = new ConditionalSet("x", "100 > x2 > 81");
Console.WriteLine(Union(set1, set2));
Console.WriteLine(Union(set1, set2).Simplify());
Console.WriteLine("----------------------");
Console.WriteLine(Union(set1, set3));
Console.WriteLine(Union(set1, set3).Simplify());
Console.WriteLine("----------------------");
Console.WriteLine(Union(set1, set4));
Console.WriteLine(ElementInSet(3, Union(set1, set4)));
Console.WriteLine(ElementInSet(3, Union(set1, set4)).Simplify());
Console.WriteLine(ElementInSet(4, Union(set1, set4)));
Console.WriteLine(ElementInSet(4, Union(set1, set4)).Simplify());
Console.WriteLine(ElementInSet(9.5, Union(set1, set4)));
Console.WriteLine(ElementInSet(9.5, Union(set1, set4)).Simplify());
Console.WriteLine("----------------------");
Console.WriteLine(Intersection(set1, set2));
Console.WriteLine(Intersection(set1, set2).Simplify());
Console.WriteLine("----------------------");
Console.WriteLine(Intersection(set2, set3));
Console.WriteLine(Intersection(set2, set3).Simplify());
Console.WriteLine("----------------------");
var set5 = MathS.Interval(-3, 11);
Console.WriteLine(Intersection(set3, set5));
Console.WriteLine(Intersection(set3, set5).Simplify());
Console.WriteLine(Union(set3, set5));
Console.WriteLine(Union(set3, set5).Simplify());
Console.WriteLine(SetSubtraction(set3, set5));
Console.WriteLine(SetSubtraction(set3, set5).Simplify());
Console.WriteLine("----------------------");
Entity syntax1 = @"{ 1, 2, 3 } /\ { 2, 3, 4 }";
Console.WriteLine(syntax1);
Console.WriteLine(syntax1.Simplify());
Console.WriteLine("----------------------");
Entity syntax2 = @"5 in ([1; +oo) \/ { x : x < -4 })";
Console.WriteLine(syntax2);
Console.WriteLine(syntax2.Simplify());
Console.WriteLine("----------------------");
Console.WriteLine(Intersection(Finite(pi, e, 6, 5.5m, 1 + 3 * i), Q));
Console.WriteLine(Intersection(Finite(pi, e, 6, 5.5m, 1 + 3 * i), Q).Simplify());
Console.WriteLine(Intersection(Finite(pi, e, 6, 5.5m, 1 + 3 * i), R));
Console.WriteLine(Intersection(Finite(pi, e, 6, 5.5m, 1 + 3 * i), R).Simplify());
Console.WriteLine(Intersection(Finite(pi, e, 6, 5.5m, 1 + 3 * i), C));
Console.WriteLine(Intersection(Finite(pi, e, 6, 5.5m, 1 + 3 * i), C).Simplify());
Prints
{ 1, 2, 3 } \/ { 2, 3, 4 }
{ 1, 2, 3, 4 }
----------------------
{ 1, 2, 3 } \/ [-6; 2]
{ 3 } \/ [-6; 2]
----------------------
{ 1, 2, 3 } \/ { x : 100 > x ^ 2 and x ^ 2 > 81 }
3 in { 1, 2, 3 } \/ { x : 100 > x ^ 2 and x ^ 2 > 81 }
True
4 in { 1, 2, 3 } \/ { x : 100 > x ^ 2 and x ^ 2 > 81 }
False
19/2 in { 1, 2, 3 } \/ { x : 100 > x ^ 2 and x ^ 2 > 81 }
True
----------------------
{ 1, 2, 3 } /\ { 2, 3, 4 }
{ 2, 3 }
----------------------
{ 2, 3, 4 } /\ [-6; 2]
{ 2 }
----------------------
[-6; 2] /\ [-3; 11]
[-3; 2]
[-6; 2] \/ [-3; 11]
[-6; 11]
[-6; 2] \ [-3; 11]
[-6; -3)
----------------------
{ 1, 2, 3 } /\ { 2, 3, 4 }
{ 2, 3 }
----------------------
5 in [1; +oo) \/ { x : x < -4 }
True
----------------------
{ pi, e, 6, 11/2, 1 + 3i } /\ QQ
{ 6, 11/2 }
{ pi, e, 6, 11/2, 1 + 3i } /\ RR
{ pi, e, 6, 11/2 }
{ pi, e, 6, 11/2, 1 + 3i } /\ CC
{ pi, e, 6, 11/2, 1 + 3i }
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