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Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. An acnode is an isolated point not on a curve, but whose coordinates satisfy the equation of the curve.
Frederic P. Miller, Agnes F. Vandome, McBrewster John, 2010
If we now reduce M2, so passing from Fig. 2.8.2d to Fig. 2.8.2c, the pieces of
complex surface joining the part of the real arc between the cusps to the acnode
must remain singular, because it has not shrunk to zero. If we reduce M2 still
further, ...
3
A New Theoretical Model for Growth of the Echinoid Test
plate, an array of vectors representing the Delaunay triangulation of the center
points (named ACTri), and an array of vectors representing the Voronoi edges of
the node points (name ACNode). The structure of the arrays ACTri[ ] and ACNode
[ ] ...
Louis George Zachos, 2008
4
Geometry and Interpolation of Curves and Surfaces
Acnode. two inflection points, and an asymptote. in three asymptotes (Figure 6.9).
The crunode is at (0. 0. I ). and the inflection point at (l,0. l). Let us consider two
more examples of curves with affine acnodes and show the effect of the presence
...
Robin J. Y. McLeod, M. Louisa Baart, 1998
5
Geometric Differentiation: For the Intelligence of Curves ...
... x2(z — x) = 0, has a singularity at the origin which is isolated from the rest of
the curve, the main part admitting the parametrisation IR -> IR2 : n-> (t2 + 1, t(t2 +
1)). Such an isolated singularity is known as an acnode, or spot node, of the
curve ...
6
Mathematics of Surfaces XII: 12th IMA International ...
If ki = ki+1 = 0 then we have an acnode and there is no problem with the position
of the uninvolved arcs since there are no such arcs. – If ki = ki+1 = 4 then we
have a crunode and two uninvolved arcs (their position is to be studied below).
Ralph Martin, Malcolm Sabin, Joab Winkler, 2007
7
Canadian Mathematical Bulletin
"If a crunode of a real, irreducible, plane, algebraic curve changes into an acnode
via the intermediary stage of a real cusp, two real inflexions are introduced in a
neighborhood of the double point." This result is due to Klein [1]. We note that a ...
8
Reasoning and the Logic of Things: The Cambridge Conferences ...
and that gives the acnode. The rest of the curve is continuous and the acnode
presents of itself no break. The two together are merely a curve with two
branches. Thus in no case is there a pure point-discontinuity, such as an
extremity would be ...
Charles Sanders Peirce, Kenneth Laine Ketner, 1992
9
On the forms of plane quartic curves ...
Quartics with one crunode and one acnode. 81. Separate figures will not be
shown for acnodal curves, since they can easily be imagined from preceding
figures. Typical ones for the present division are obtainable from Figs. 2, 4, 5, 6, 7
, III by ...
10
The Words of Mathematics: An Etymological Dictionary of ...
For example, in this dictionary's entry on acnode, the ac- is explained fully. The (
q.v.) which appears after node tells you to look up the separate entry node for
more information about that part of the compound acnode. Romance: the name
for ...
