Metric

Metric or metrical may refer to:

Mathematics

Science

Metric (mathematics)

In mathematics, a metric or distance function is a function that defines a distance between each pair of elements of a set. A set with a metric is called a metric space. A metric induces a topology on a set, but not all topologies can be generated by a metric. A topological space whose topology can be described by a metric is called metrizable.

In differential geometry, the word "metric" may refer to a bilinear form that may be defined from the tangent vectors of a differentiable manifold onto a scalar, allowing distances along curves to be determined through integration. It is more properly termed a metric tensor.

Definition

A metric on a set X is a function (called the distance function or simply distance)

where [0,∞) is the set of non-negative real numbers (because distance can't be negative so we can't use R), and for all x, y, z in X, the following conditions are satisfied:

Conditions 1 and 2 together define a positive-definite function. The first condition is implied by the others.

Metric (band)

Metric are a Canadian rock band founded in 1998 in Toronto. The band consists of Emily Haines (lead vocals, synthesizers, guitar, tambourine, harmonica, piano), James Shaw (guitar, synthesizers, theremin, backing vocals), Joshua Winstead (bass, synthesizers, backing vocals) and Joules Scott-Key (drums, percussion). The band started in 1998 as a duo formed by Haines and Shaw with the name "Mainstream". After releasing an EP titled Mainstream EP, they changed the band's name to Metric, after a sound that was programmed by Shaw on his keyboard. In 2001, Winstead and Scott-Key joined them.

Their first official studio album, Old World Underground, Where Are You Now?, was released on September 2, 2003. It was followed by Live It Out, released on October 4, 2005. The album was nominated for the 2006 Polaris Music Prize for the "Canadian Album of the Year" and for the 2006 Juno Awards for "Best Alternative Album". Their third studio album, Grow Up and Blow Away, was recorded in 2001 and it was initially planned as their debut album. The album was delayed for many years and it was finally released on June 26, 2007, with some changes to the track list. Some songs were also slightly reworked.

Dai

Dai may refer to:

Names

Acronyms

Dai (surname)

Dai is the pinyin romanization of the Chinese surname written with the Chinese character 戴. It is romanized as Tai in Wade-Giles and in Hong Kong Government Cantonese Romanisation. Dai is the 96th most common surname in China, according to a report on the household registrations released by the Chinese Ministry of Public Security on April 24, 2007.

Notable people

Business

Academia and literature

Dai (Warring States period)

Dai (Chinese: 代; pinyin: Dài) was a short-lived state from 227 BC to 222 BC during the Warring States period. Prince Zhao Jia, older brother of King Youmiu of Zhao, fled with the remnant forces to the former location of Dai after the Conquest of Zhao and proclaimed himself "King of Dai". It was conquered in the year 222 BC by Qin.

References