Any frontal

plane curve seen from this view is described as a scoliosis.

The purpose of this article is to give typical examples of smooth

plane curve of degree d whose automorphism group has order 60d.

Suppose u(x, t) be a solution of partial differential equation with initial data u(x,0) = [u.sub.0](x), where x [member of] R is a spatial variable and t >0 is a time variable; we consider

plane curve [[GAMMA].sub.t] = {(x,u(x,t))}, then the curvature of the

plane curve is defined as

[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.

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." Then the following confusing statement is made: "Ellipses are also curves with two fixed points instead of the circle's one." The use of the word "sequence" in Kovalevsky's work is nonstandard.

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.

Let [B.sub.o] be a (possibly empty) reduced

plane curve Bo.

Since C is not a

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

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.