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singular point

   Also found in: Dictionary/thesaurus, Legal, Wikipedia, Hutchinson 0.02 sec.
singular point [′siŋ·gyə·lər ′pȯint]
(mathematics)
For a differential equation, a point that is a singularity for at least one of the known functions appearing in the equation.
A point on a curve at which the curve possesses no smoothly turning tangent, or crosses or touches itself, or has a cusp or isolated point.
A point on a surface whose coordinates,x,y, andz, depend on the parametersuandv, at which the JacobiansD(x,y)/D(u,v),D(y,z)/D(u,v), andD(z,x)/D(u,v) all vanish.


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The difference about qualitative stability of nonlinear systems of equations related to its linearized forms about the equilibrium for the center singular point is emphasized.
The solution at the singular point is saturated with respect to both salts, which are equally stable at this solution composition.
 
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