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Legacy Documentation

Mathematica 8 (2010)

This is documentation for Mathematica 8, which was
based on an earlier version of Wolfram Language.
View current documentation (Version 14.3)

ConditionalExpression

ConditionalExpression
is a symbolic construct that represents the expression expr when the condition cond is True .
  • If a function takes assumptions then the conditional part of ConditionalExpression arguments gets added to the assumptions.
  • Algebraic transformation functions applied to a conditional expression apply to the first argument.
(2)
There is a solution only when :
The answer is valid when the condition is satisfied:
There is a solution only when :
Out[1]=
The answer is valid when the condition is satisfied:
Out[1]=
(16)
Conditional solutions:
Parametrized solutions:
Conditionally valid integration results:
Conditionally valid summation results:
Conditionally valid Fourier series:
ConditionalExpression with True or False conditions:
Mathematical functions with ConditionalExpression arguments:
Boolean combinations of equations and inequalities involving ConditionalExpression :
Contradictory conditions:
Inverse of a function with a restricted domain:
Simplify a conditional expression:
Find solutions of equations involving conditional expressions:
Plot a function with a restricted domain:
Piecewise function involving conditional expressions:
Transform a conditionally valid expression:
Conditionally valid expressions in calculus functions:
(4)
ConditionalExpression with True condition evaluates to its first argument:
ConditionalExpression with False condition evaluates to Undefined :
ConditionalExpression is propagated from the arguments of mathematical functions:
ConditionalExpression is propagated from the arguments of equations and inequalities:
ConditionalExpression is propagated from the arguments of Boolean functions:
For functions taking the Assumptions option, argument conditions are used as assumptions:
Refine , Simplify , and FullSimplify use the conditions to transform the values:
(1)
For functions taking the Assumptions option, argument conditions are used as assumptions:
ConditionalExpression subexpressions that are not arguments are not used:
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