## Boolean and Comparison Operations

This page lists the built-in methods and operators for applying Boolean operations like AND and OR, or for performing comparisons like greater-than or equality. For both static methods and operators, you can often pass in random variables as arguments e.g. Variable<bool> instead of bool. For compactness, this is not shown in the syntax below.

These methods provide a convenient short alternative to using Variable<T>.Factor and passing in the factor method, as described on this page

#### Boolean Operations

Boolean operations are supported via operator overloads or static methods.

 Operation Syntax Description And a & b Creates a boolean random variable which is true if both a and b are true. Or a | b Creates a boolean random variable which is true if either a or b are true. Not !a Creates a boolean random variable which is true if a is false. AllTrue Variable.AllTrue(bool[] array)Variable.AllTrue(IList array) Creates a boolean random variable which is true if all the elements of array are true. In other words, this is a N-valued AND.  Where the array has length two, & should be used instead.

#### Comparison Operations

Comparison operations are supported via operator overloads or static methods.

 Operation Syntax Description Equals a==b Creates a boolean random variable which is true if a and b are equal. Not equals a!=b Creates a boolean random variable which is true if a and b are not equal. Greater than / less than a>b, a=b, a<=bNote: a and b must be both double or both int Creates a boolean random variable which is true if a is greater than/less than/greater than or equal to/less than or equal to b. IsPositive Variable.IsPositive(double x) Creates a boolean random variable which is true if x is positive. IsBetween Variable.IsBetween(double x, double lowerBound, double upperBound) Creates a boolean random variable which is true if lowerBound <= x < upperBound.

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