Assume Command

CAS Syntax

Assume( <Condition>, <Expression> )

Evaluates the expression according to the condition

Examples:

• Assume(a > 0, Integral(exp(-a x), 0, infinity)) yields 1 / a.
• Assume(x>0 && n>0, Solve(log(n^2*(x/n)^lg(x))=log(x^2), x)) yields {x = 100, x = n}

• Assume(x<2,Simplify(sqrt(x-2sqrt(x-1)))) yields -sqrt(abs(x - 1)) + 1}}
• Assume(x>2,Simplify(sqrt(x-2sqrt(x-1)))) yields sqrt(abs(x - 1)) + 1}}

Note: See also Solve Command.