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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.
• FindInstance[expr, {x1, x2, ...}] gives results in the same form as Solve: {{x1->val1, x2->val2, ...}} 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, Reals] assumes that not only vars but also all function values in expr are real. FindInstance[expr&&varsReals, 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.
Find a solution instance of a system of equations:
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Find a real solution instance of a system of equations and inequalities:
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Find an integer solution instance:
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Find Boolean values of variables that satisfy a formula:
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Find several instances:
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 Scope   (41)
 Options   (3)
 Applications   (6)
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