applies f to each side of the equation or inequality rel.
- The relations rel can have any of the following forms:
lhs==rhs equations lhs!=rhs inequations lhs>rhs or lhs>=rhs inequalities ab>c≥… generalized inequalities
- ApplySides does not verify that inequalities are still valid after function application.
Examplesopen allclose all
Basic Examples (2)
Compute the logarithm of each side of an equation with three expressions:
Take the cube root of each side of a generalized inequality:
Apply Factorial to both sides of an inequation:
Raise each side of an equation to the fourth power using a pure function:
Apply Sinh to several inequalities expressed using Piecewise:
Compute the common logarithm of both sides of an equation inside ConditionalExpression:
Properties & Relations (2)
True and False are considered trivial equations:
ApplySides transforms equations to related equations:
Solve gives values for the variables that make the equation true:
Reduce can be used to rewrite an equation in the form var==value:
Possible Issues (1)
ApplySides is a purely structural operation and does not check mathematical consistency:
Wolfram Research (2018), ApplySides, Wolfram Language function, https://reference.wolfram.com/language/ref/ApplySides.html.
Wolfram Language. 2018. "ApplySides." Wolfram Language & System Documentation Center. Wolfram Research. https://reference.wolfram.com/language/ref/ApplySides.html.
Wolfram Language. (2018). ApplySides. Wolfram Language & System Documentation Center. Retrieved from https://reference.wolfram.com/language/ref/ApplySides.html