Geometry

Geometry (from the Ancient Greek: γεωμετρία; geo- "earth", -metron "measurement") is a branch of mathematics concerned with questions of shape, size, relative position of figures, and the properties of space. A mathematician who works in the field of geometry is called a geometer. Geometry arose independently in a number of early cultures as a body of practical knowledge concerning lengths, areas, and volumes, with elements of formal mathematical science emerging in the West as early as Thales (6th century BC). By the 3rd century BC, geometry was put into an axiomatic form by Euclid, whose treatment—Euclidean geometry—set a standard for many centuries to follow.Archimedes developed ingenious techniques for calculating areas and volumes, in many ways anticipating modern integral calculus. The field of astronomy, especially as it relates to mapping the positions of stars and planets on the celestial sphere and describing the relationship between movements of celestial bodies, served as an important source of geometric problems during the next one and a half millennia. In the classical world, both geometry and astronomy were considered to be part of the Quadrivium, a subset of the seven liberal arts considered essential for a free citizen to master.

Geometry (Ivo Perelman album)

Geometry is an album by Brazilian jazz saxophonist Ivo Perelman featuring American pianist Borah Bergman, which was recorded in 1996 and released on the English Leo label.

Reception

In his review for AllMusic, Alex Henderson says that "this CD doesn't quite fall into the 'essential' category... Nonetheless, Geometry is an enjoyable release that Perelman's more-devoted followers will want."

The Penguin Guide to Jazz notes that "Bergman is wily enough to find ways of both supporting and undercutting the mighty sound of the tenor."

Track listing

Personnel

References

Geometric group action

In mathematics, specifically geometric group theory, a geometric group action is a certain type of action of a discrete group on a metric space.

Definition

In geometric group theory, a geometry is any proper, geodesic metric space. An action of a finitely-generated group G on a geometry X is geometric if it satisfies the following conditions:

Uniqueness

If a group G acts geometrically upon two geometries X and Y, then X and Y are quasi-isometric. Since any group acts geometrically on its own Cayley graph, any space on which G acts geometrically is quasi-isometric to the Cayley graph of G.

Examples

Cannon's conjecture states that any hyperbolic group with a 2-sphere at infinity acts geometrically on hyperbolic 3-space.

References

Suki

Suki may refer to:

People

Fictional characters

Suki: A Like Story

Suki: A Like Story (Japanese: すき。だからすき, Hepburn: Suki. Dakara Suki), is a three volume manga by Clamp. The title literally means "I like you, that's why I like you." It was published in English by TOKYOPOP (although their license has since expired).

Plot

Suki follows the story of Hinata Asahi, also known as Hina, a childlike teenager who loves teddy bears. She lives alone in her house and early in the story, her new homeroom teacher moves into the empty house next door. Shiro Asou, her new teacher, becomes her first crush and he seems to take an interest in her as well. However, this simple love story grows complicated as Shiro's interest in Hina is put into question as more sinister elements are placed in the story, all while forcing Hinata to grow up at the same time.

Characters

Important locations

Hina's house is a large, two story home in a safe neighborhood. Shiro moves into the house next door to hers, to keep a watchful eye over her. Her house is (unbeknownst to her) tapped with multiple cameras and microphones, placed secretly by Shiro, to monitor Hina.

List of Avatar: The Last Airbender characters

This features a list of significant characters from the animated television programs Avatar: The Last Airbender and The Legend of Korra created by Bryan Konietzko and Michael Dante DiMartino.

Overview

In The Last Airbender, a fictional universe composed of four sovereign nations, the Avatar —a being who represents the bridge between the physical and the spirit worlds— alone holds the power to master all four elemental powers, but has been missing for the past 100 years. During this absence, a war started by the Fire Nation resulted in the Air Nomads' genocide, the Southern Tribes' waterbending population near extinction, and the Earth Kingdom's extensive colonization. In The Legend of Korra, set 70 years later, Republic City, the capital of the United Republic of Nations, serves as the primary setting for the repercussions of said wars, leading to events such as the Equalization movement for non-benders, Harmonic Convergence of the spirit world, civil war in the southern polar region, and the reunification of the fractured Earth Kingdom.