4] --, Formalminimalmodels of

plane curve singularities, Preprint (submitted, 2016).

In this article we give the implementation of two algorithms to compute the Euler characteristic of Milnor fibre of reduced

plane curve singularities in computer algebra system SINGULAR.

8), the curvature of the

plane curve is shown below:

HYPERBOLIC FABRIC--Many of the lines that could be inscribed on this crocheted hyperbolic

plane curve away from each other, defying

On page 79 the following dictionary definition of a circle is given: "a closed

plane curve every point of which is equidistant from a fixed point within the curve.

It is also known that c = 1 if and only if C is trigonal or a smooth plane quintic, and any smooth

plane curve X of degree m [is greater than or equal to] 5 has Cliff (X) = m - 4.

Since C is not a

plane curve and dim(V) [less than or equal to] 2, the scheme C [intersection] V is finite.

Fundamental groups of

plane curve complements play an important role in the study of branched coverings.

Take the centre of inlet port entrance section as the origin point, a relative coordinate system is founded, running the law curve command, the generated

plane curve form is as Fig.

Theorem 8 Let [x(s), y(s)] be a regular parametric

plane curve of class [C.

Other topics include conjugate vectors of immersed manifolds, Thom polynomials and Schur functions, obstructions on fundamental groups of

plane curve complements, and exotic moduli of Goursat distributions.

In this section, we recall some facts about the Alexander polynomial of a

plane curve.