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BUILT-IN MATHEMATICA SYMBOL
FindInstance
FindInstance[expr, vars]
finds an instance of vars that makes the statement expr be True.
FindInstance[expr, vars, dom]
finds an instance over the domain dom. Common choices of dom are Complexes, Reals, Integers, and Booleans.
FindInstance[expr, vars, dom, n]
finds n instances.
Details and Options
- FindInstance[expr, {x1, x2, ...}] gives results in the same form as Solve:
if an instance exists, and 
if it does not. - expr can contain equations, inequalities, domain specifications and quantifiers, in the same form as in Reduce.
- With exact symbolic input, FindInstance gives exact results.
- Even if two inputs define the same mathematical set, FindInstance may still pick different instances to return.
- The instances returned by FindInstance typically correspond to special or interesting points in the set.
- FindInstance[expr, vars] assumes by default that quantities appearing algebraically in inequalities are real, while all other quantities are complex.
- FindInstance[expr, vars, Integers] finds solutions to Diophantine equations.
- FindInstance[expr, vars, Booleans] solves Boolean satisfiability for expr.
- FindInstance[expr, vars, Reals] assumes that not only vars but also all function values in expr are real. FindInstance[expr&&vars
Reals, vars] assumes only that the vars are real. - FindInstance may be able to find instances even if Reduce cannot give a complete reduction.
- Every time you run FindInstance with a given input, it will return the same output.
- Different settings for the option RandomSeed->s may yield different collections of instances.
- FindInstance[expr, vars, dom, n] will return a shorter list if the total number of instances is less than n.
Examplesopen all
Basic Examples (5)
New in 5
