Simplify(expr)
simplifies
expr
Simplify(expr, option1, option2, ...)
simplify
exprwith some additional options set
- Assumptions - use assumptions to simplify the expression
- ComplexFunction - use this function to determine the "weight" of an expression.
>> Simplify(1/2*(2*x+2))
x+1
>> Simplify(2*Sin(x)^2 + 2*Cos(x)^2)
2
>> Simplify(x)
x
>> Simplify(f(x))
f(x)
>> Simplify(a*x^2+b*x^2)
(a+b)*x^2
Simplify with an assumption:
>> Simplify(Sqrt(x^2), Assumptions -> x>0)
x
For Assumptions you can define the assumption directly as second argument:
>> Simplify(Sqrt(x^2), x>0)
x
>> Simplify(Abs(x), x<0)
Abs(x)
With this "complexity function" the Abs expression gets a "heavier weight".
>> complexity(x_) := 2*Count(x, _Abs, {0, 10}) + LeafCount(x)
>> Simplify(Abs(x), x<0, ComplexityFunction->complexity)
-x
- ✅ - full supported