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  2. Unit circle - Wikipedia

    en.wikipedia.org/wiki/Unit_circle

    Since C = 2πr, the circumference of a unit circle is 2π. In mathematics, a unit circle is a circle of unit radius—that is, a radius of 1. [1] Frequently, especially in trigonometry, the unit circle is the circle of radius 1 centered at the origin (0, 0) in the Cartesian coordinate system in the Euclidean plane.

  3. Function (mathematics) - Wikipedia

    en.wikipedia.org/wiki/Function_(mathematics)

    For example, the equation of the unit circle + = ... For every set X, there is a unique function, called the empty function, or empty map, ...

  4. File:Unit Circle Definitions of Six Trigonometric Functions.svg

    en.wikipedia.org/wiki/File:Unit_Circle...

    English: All of the six trigonometric functions of an arbitrary angle θ can be defined geometrically in terms of a unit circle centred at the origin of a Cartesian coordinate plane.

  5. Lebesgue covering dimension - Wikipedia

    en.wikipedia.org/wiki/Lebesgue_covering_dimension

    The empty set has covering dimension -1: for any open cover of the empty set, each point of the empty set is not contained in any element of the cover, so the order of any open cover is 0. Any given open cover of the unit circle will have a refinement consisting of a collection of open arcs.

  6. Group of rational points on the unit circle - Wikipedia

    en.wikipedia.org/wiki/Group_of_rational_points...

    For the group on the unit circle, the appropriate subgroup is the subgroup of points of the form (w, x, 1, 0), with + =, and its identity element is (1, 0, 1, 0). The unit hyperbola group corresponds to points of form (1, 0, y, z), with =, and the identity is again (1, 0, 1, 0). (Of course, since they are subgroups of the larger group, they ...

  7. 8 Rules You Didn’t Know “The Circle” Contestants ... - AOL

    www.aol.com/8-rules-didn-t-know-130000871.html

    Being a contestant on The Circle is like being on a deserted island or “prison” as U.S. season 2 player Chloe Veitch described it.. In pursuit of the $100,000 grand prize, contestants move ...

  8. Hardy space - Wikipedia

    en.wikipedia.org/wiki/Hardy_space

    A real distribution on the circle belongs to real-H p (T) iff it is the boundary value of the real part of some F ∈ H p. A Dirac distribution δ x, at any point x of the unit circle, belongs to real-H p (T) for every p < 1; derivatives δ′ x belong when p < 1/2, second derivatives δ′′ x when p < 1/3, and so on.

  9. Empty grandstands at Las Vegas GP as chaotic practice session ...

    www.aol.com/empty-grandstands-las-vegas-gp...

    The grandstands at F1's Las Vegas Grand Prix were close to empty during Thursday night's (16 November) chaotic practice. Session one was cancelled after just nine minutes when a broken drain cover ...