mathematics, the circle group, denoted by T {\displaystyle \mathbb {T} } or ⁠ S 1 {\displaystyle \mathbb {S} ^{1}} ⁠, is the multiplicative group of all complex...

A circle is a shape consisting of all points in a plane that are at a given distance from a given point, the centre. The distance between any point of...

into the circle group, an archetypal example of a Lie group. Lie groups are widely used in many parts of modern mathematics and physics. Lie groups were first...

Older people who were more active in social circles tended to be better off health-wise. Social groups tend to form based on certain principles of attraction...

A circle jerk, also sometimes spelled circlejerk, is a sexual practice in which a group of men form a circle and masturbate or touch each other's genitals...

mathematics, a unit circle is a circle of unit radius—that is, a radius of 1. Frequently, especially in trigonometry, the unit circle is the circle of radius 1...

The set of rational points on the unit circle, shortened G in this article, forms an infinite abelian group under rotations. The identity element is...

compact abelian groups that allows generalizing Fourier transform to all such groups, which include the circle group (the multiplicative group of complex numbers...

The Inner Circle is an American musical parody group made up of seasoned reporters, bloggers, web journalists, and television and radio personalities from...

examples of abelian topological groups are the circle group S1, or the torus (S1)n for any natural number n. The classical groups are important examples of...

matrices with determinant 1. In the simple case n = 1, the group U(1) corresponds to the circle group, isomorphic to the set of all complex numbers that have...

Blue Circle Industries was a British public company manufacturing cement. It was founded in 1900 as the Associated Portland Cement Manufacturers Ltd. through...

symmetry is isomorphic with the circle group in the complex plane, or the special orthogonal group SO(2), and unitary group U(1). Reflective circular symmetry...

symmetry group of a circle and the continuous equivalent of Cn. There is no geometric figure that has as full symmetry group the circle group, but for...

Yourself: "Circle Album Chart – December 2024". Circle Chart (in Korean). Retrieved January 9, 2025. "Circle Album Chart – Week 1, 2025". Circle Chart (in...

around an axis, but instead rotoreflections. The group of all rotations of a circle (the circle group, also denoted S1) is not cyclic, because there is...

Circle Jerks (stylized as Ciʀcle JƎʀᴋs) are an American hardcore punk band, formed in 1979 in Los Angeles, California. The group was founded by former...

Circle (legally Circle Internet Group, Inc.) is a peer-to-peer payments technology company that now manages the stablecoin USDC, a cryptocurrency the...

splinter group of the Aryan Brotherhood of Texas (ABT). During the 1980s the ABT had shifted focus away from overt crime towards religion. The Aryan Circle split...

groups of spheres are not trivial in general. It also provides a basic example of a principal bundle, by identifying the fiber with the circle group....

or the real numbers or the circle (both with their usual topology) are locally compact abelian groups. A topological group is called locally compact if...

locally compact abelian groups is described by Pontryagin duality. Any compact group is locally compact. In particular the circle group T of complex numbers...

metaphors like "inner circle" or "circular reasoning" in which the word does not refer literally to the geometric shape. Circle Circle anatomy Annulus (mathematics) –...

A writing circle is a group of like-minded writers needing support for their work, either through writing peer critiques, workshops or classes, or just...

one circle for violence (Circle 7) and two circles for fraud (Circles 8 and 9). As a Christian, Dante adds Circle 1 (Limbo) to Upper Hell and Circle 6 (Heresy)...

isomorphism from the group R/Z of real numbers under addition modulo integers (the circle group), onto the multiplicative group of complex numbers of...

Look up full circle in Wiktionary, the free dictionary. Full Circle may refer to: Full circle (unit), a unit of plane angle Full Circle, a 1962 novel by...

The circle group inside this group of matrices is the unitary group U(1). Hodge structures arising in geometry, for example on the cohomology groups of...

where × denotes the direct product and U(1), known as the circle group, is the multiplicative group of all complex numbers with absolute value 1. For completeness...

The following is a list of episodes from The Circle (sometimes called The Circle US to differentiate from other international versions), an American reality...