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crunod
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There are 6 letters in CRUNOD ( C3D2N1O1R1U1 )
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Definitions of crunod in various dictionaries:
CRUNOD - In mathematics, a crunode (archaic) or node is a point where a curve intersects itself so that both branches of the curve have distinct tangent lines...
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In mathematics, a Crunode (archaic) or node is a point where a curve intersects itself so that both branches of the curve have distinct tangent lines at the point of intersection. A crunode is also known as an ordinary double point.For a plane curve, defined as the locus of points f(x, y) = 0, where f(x, y) is a smooth function of variables x and y ranging over the real numbers, a crunode of the curve is a singularity of the function f, where both partial derivatives * * * * * ∂ * f * * * ∂ * x * * * * {\displaystyle \partial f \over \partial x} * and * * * * * ∂ * f * * * ∂ * y * * * * {\displaystyle \partial f \over \partial y} * vanish. Further the Hessian matrix of second derivatives will have both positive and negative eigenvalues. |