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Eliminating Variables
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Polynomial Systems
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SolveAlways
SolveAlways
[
eqns
,
vars
]
gives the values of parameters that make the equations
eqns
valid for all values of the variables
vars
.
MORE INFORMATION
Equations are given in the form
lhs
rhs
.
Simultaneous equations can be combined either in a list or with
&&
.
A single variable or a list of variables can be specified.
SolveAlways
works primarily with linear and polynomial equations.
SolveAlways
produces relations between parameters that appear in
eqns
, but are not in the list of variables
vars
.
SolveAlways
[
eqns
,
vars
]
is equivalent to
Solve
[!
Eliminate
[!
eqns
,
vars
]]
.
EXAMPLES
CLOSE ALL
Basic Examples
(1)
Find a condition for the equation to hold for any value of
x
:
In[1]:=
Out[1]=
Scope
(6)
Options
(1)
Applications
(2)
Properties & Relations
(1)
Possible Issues
(1)
SEE ALSO
Eliminate
Solve
Reduce
PolynomialReduce
ForAll
TUTORIALS
Eliminating Variables
MORE ABOUT
Polynomial Systems
New in 1
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