"sphere" in inglés with examples - Collocation dictionary inglés
- Suppose that a random variable has a uniform distribution on a unit sphere.
- Let be a collection of distinct points on the unit sphere centered at the origin.
- A unit sphere is simply a sphere of radius one.
- In this formalism, each state is represented as a point on the unit sphere.
- By definition, the set of all such vectors forms the unit sphere.
- All points of must lie on the unit sphere because .
- The same applies for the radius if it is taken to equal one, as in the case of a unit sphere.
- Let be the unit sphere in three dimensional Euclidean space.
- Thus the set of all pure states corresponds to the unit sphere in the Hilbert space.
- But this is the condition of being orthogonal to the unit sphere.
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