|
Showing 1 - 3 of
3 matches in All Departments
The common solutions of a finite number of polynomial equations in
a finite number of variables constitute an algebraic variety. The
degrees of freedom of a moving point on the variety is the
dimension of the variety. A one-dimensional variety is a curve and
a two-dimensional variety is a surface. A three-dimensional variety
may be called asolid. Most points of a variety are simple points.
Singularities are special points, or points of multiplicity greater
than one. Points of multiplicity two are double points, points of
multiplicity three are tripie points, and so on. A nodal point of a
curve is a double point where the curve crosses itself, such as the
alpha curve. A cusp is a double point where the curve has a beak.
The vertex of a cone provides an example of a surface singularity.
A reversible change of variables gives abirational transformation
of a variety. Singularities of a variety may be resolved by
birational transformations.
The common solutions of a finite number of polynomial equations in
a finite number of variables constitute an algebraic variety. The
degrees of freedom of a moving point on the variety is the
dimension of the variety. A one-dimensional variety is a curve and
a two-dimensional variety is a surface. A three-dimensional variety
may be called asolid. Most points of a variety are simple points.
Singularities are special points, or points of multiplicity greater
than one. Points of multiplicity two are double points, points of
multiplicity three are tripie points, and so on. A nodal point of a
curve is a double point where the curve crosses itself, such as the
alpha curve. A cusp is a double point where the curve has a beak.
The vertex of a cone provides an example of a surface singularity.
A reversible change of variables gives abirational transformation
of a variety. Singularities of a variety may be resolved by
birational transformations.
|
You may like...
Barbie
Margot Robbie, Ryan Gosling
Blu-ray disc
R266
Discovery Miles 2 660
|
Email address subscribed successfully.
A activation email has been sent to you.
Please click the link in that email to activate your subscription.