In geometry, hyperboloid (sometimes called hyperboloid of revolution or hyperboloid of circle) is a surface produced by hyperbola rotating around its principal axis. A hyperboloid is a surface that can be obtained by deforming a paraboloid of revolution using directional scaling.
In geometry, hyperboloids (sometimes called hyperboloids of revolution, elliptic hyperboloids or circular hyperboloids) are surfaces produced by hyperbola rotating around its principal axis. A hyperboloid is a surface that can be obtained by deforming a paraboloid of revolution using directional scaling.
A hyperboloid is a quadric surface, which can be defined as the surface of a point set of three variables of a two-dimensional polynomial. In quadric surface, hyperboloid is characterized by not only having a symmetrical center, but also intersecting it to form a plane cone, cylinder and so on. A hyperboloid also has three pairs of vertical symmetry axes and three pairs of vertical symmetry planes.
The Gaussian curvature of hyperboloids is positive. Although hyperboloids have positive curvature, hyperboloids with another properly selected metric can also be used as models of hyperbolic geometry. Virtual hyperboloids often appear in high-dimensional mathematics.
The benefits of learning mathematics
People who are good at math are relatively smart and savvy, and they can show their advantages in dealing with people. The faster you think, the more ways and ideas you have. Cambridge, majoring in financial mathematics at Carnegie Mellon University in the United States, said that studying mathematics has brought her mental exercise and made me pay more attention to the rigor of thinking in my life.
For example, before solving a problem, I like to divide it into several sections, and each section is divided into several steps, so that I can dig slowly like a branch instead of thinking in confusion in front of a pile of data. Mathematics is the foundation of other disciplines, and it is easier for people who learn mathematics well to get into other disciplines. Learning software, computer, finance and other engineering majors is even more handy.