point at infinity वाक्य
उदाहरण वाक्य
मोबाइल
- This topological space, the complex plane plus the point at infinity, is known as the extended complex plane.
- Idealized directions are referred to as points at infinity, while idealized horizons are referred to as lines at infinity.
- For the parabola, the center of the directrix moves to the point at infinity ( see projective geometry ).
- The equation should be studied on the Riemann sphere to include the point at infinity as a possible singular point.
- The stabilizer of any point ( a " point at infinity " ) is the affine group of a line.
- For example, stereographic projection of a sphere onto the plane augmented with a point at infinity is a conformal map.
- The projective harmonic conjugate of such a " midpoint " with respect to the two endpoints is the point at infinity.
- The modular group acts continuously on this compactification, but they showed that their compactification has strictly more points at infinity.
- For real hyperelliptic curves, there are two points at infinity, \ infty _ 1 and \ infty _ 2.
- He introduced the method of the critical points at infinity, which is a fundamental step in the calculus of variations.
- The intersection of several lines is the point at infinity in the motion direction, and one constraint on the affine structure.
- Imagine two copies of the cut complex plane, the cuts extending along the positive real axis from to the point at infinity.
- A generalized circle is either a circle or a line, the latter being considered as a circle through the point at infinity.
- Similarly, if the ground field is the real or the complex field, the set of points at infinity is a manifold.
- The singular point at infinity can be removed ( since this is a curve ) by the normalization ( integral closure ) process.
- A third property which characterizes Dupin cyclides is that their curvature lines are all circles ( possibly through the point at infinity ).
- Passing to projective space is a common tool in algebraic geometry because the added points at infinity lead to simpler formulations of many theorems.
- As a projective space over a field is a smooth algebraic variety, the same is true for the set of points at infinity.
- This does depend on having a " K "-rational point, which serves as the point at infinity in Weierstrass form.
- The " points at infinity " in the Teichm�ller compactification consist of geodesic rays ( for the Teichm�ller metric ) starting at a fixed basepoint.
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