An acnode is an isolated point in the solution set of a polynomial equation in two real variables. Equivalent terms are isolated point and hermit point...

, {\displaystyle c_{0}c_{2}-c_{1}^{2}>0,} then the origin is called an acnode. In the real plane the origin is an isolated point on the curve; however...

an alphabetical index of articles related to curves used in mathematics. Acnode Algebraic curve Arc Asymptote Asymptotic curve Barbier's theorem Bézier...

set lies in the closure of F, and therefore F has uncountable closure. Acnode Adherent point Accumulation point Point cloud Gomez-Ramirez, Danny (2007)...

(x-1)(x^{2}+y^{2})=ax^{2}\,} except that for a = 0 the implicit form has an acnode (0,0) not present in polar form. They are rational, circular, cubic plane...

^{2}f}{\partial x~\partial y}}\right)^{2}<0.} Singular point of a curve Acnode Cusp Tacnode Saddle point Salmon, George (1879). A treatise on the higher...

the Cartesian equation given above, so the graph of this equation has an acnode or isolated point. When b > 2 a {\displaystyle b>2a} , the area bounded...

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"remarkable points", and possibly a finite number of isolated points called acnodes. A smooth monotone arc is the graph of a smooth function which is defined...

nocturnality, nocturne, notturno, seminocturnal, trinoctial nod- knot Latin nodus acnode, binodal, crunode, denouement, extranodal, internodal, internode, intranodal...

original curve is an ellipse and the inverse is a simple closed curve with an acnode at the origin. When e = 1 the original curve is a parabola and the inverse...

point with two distinct tangent planes. (Baker 1933b, vol 6, p. 157) acnode An acnode is an isolated point of a real curve. See Salmon (1879, p.23). adjoint...

(x, y) → (x, iy) gives the required diffeomorphism of the normal forms. Acnode Cusp or Spinode Crunode Schwartzman, Steven (1994), The Words of Mathematics:...

nocturnality, nocturne, notturno, seminocturnal, trinoctial nod- knot Latin nodus acnode, binodal, crunode, denouement, extranodal, internodal, internode, intranodal...

equation of the curve, but the curve does not cross these points and they are acnodes. The curve again has a figure eight shape though the shape is distorted...