umbilic造句

• A flat umbilic is an umbilic with zero Gaussian curvature.
• A flat umbilic is an umbilic with zero Gaussian curvature.
• The sphere is the only surface with non-zero curvature where every point is umbilic.
• The three main type of umbilic points are elliptical umbilics, parabolic umbilics and hyperbolic umbilics.
• Elliptical umbilics have the three ridge lines passing through the umbilic and hyperbolic umbilics have just one.
• The type of umbilic is classified by the cubic form from the cubic part and corresponding Jacobian cubic form.
• His most widely known piece of art is a 27-inch ( 69 centimeters ) bronze sculpture, Umbilic Torus.
• For example, a surface in Euclidean space is umbilic if and only if it is a piece of a sphere.
• This definition uses that the mean curvature is half of the umbilic, in which case it is a piece of a sphere.
• The monkey saddle is an example of a surface with a flat umbilic and on the plane every point is a flat umbilic.
• The monkey saddle is an example of a surface with a flat umbilic and on the plane every point is a flat umbilic.
• A submanifold is said to be umbilic ( or all-umbilic ) if this condition holds at every point " p ".
• A submanifold is said to be umbilic ( or all-umbilic ) if this condition holds at every point " p ".
• Umbilic points generally occur as isolated points in the elliptical region of the surface; that is, where the Gaussian curvature is positive.
• There are two main cases : one has three ridge lines passing through the umbilic, and the other has one line passing through it.
• Here Blaschke's index is twice the usual definition for index of an umbilic point, and the global conjecture follows by the Poincar? Hopf index theorem.
• "A conjecture " : He is credited with the authorship of the Carath閛dory conjecture claiming that a closed convex surface admits at least two umbilic points.
• In 1607 James felt he could boast that " the Middle Shires " had " become the navel or umbilic of both kingdoms, planted and peopled with civility and riches ".
• John Robinson created a sculpture " Eternity " based on the shape in 1989, this had a triangular cross-section rather than a deltoid of a true Umbilic bracelet.
• Helaman Ferguson has created a 27-inch ( 69 centimeters ) bronze sculpture, "'Umbilic Torus "', and it is his most widely known piece of art.