Vital

Vital or Vitals may refer to:

See also

Vital (Anberlin album)

Vital is the sixth studio album by American alternative rock band Anberlin which was released on October 16, 2012. In interviews, vocalist Stephen Christian has stated the album has a youthful, energetic energy and features new influences for the band. Upon release, the album was met with favorable reviews from critics and fans alike. The album was re-released in 2013 as Devotion, adding the deluxe tracks from various retailers, new remixes, and a full live album.

Critical reception

Vital garnered generally positive reception from music critics. The review aggregator website Metacritic gives a weighted average rating to an album based upon the selected independent mainstream reviews it utilizes, and the album has a Metascore of a 77 out of 100 based on five reviews.

At Alternative Press, Evan Lucy stating that "Vital [is] the most well-rounded Anberlin album to date." Matt Collar of AllMusic saying that "Ultimately, while Vital is Anberlin's most challenging album to date, as the title implies, it is perhaps the band's most rewarding album." At AbsolutePunk, Jack Appleby writing that "Calling Vital a career-defining record isn't a stretch in the least", which it "is the best record in Anberlin’s 10 year career, bar none." SowingSeason of Sputnikmusic remarking that "Even if it isn’t the best album they’ve ever made, Vital is perhaps the smartest", that contains some "otherworldly vocals." At Melodic, Johan Wippsson commenting that "the band has kept the energy that characterizes their sound and overall it’s an album that shows that the band is in the right direction."

Vital (Van der Graaf Generator album)

Vital is the first live album by English progressive rock band Van der Graaf Generator. It was recorded 16 January 1978 at the Marquee Club in London and was released in July, one month after the band's 1978 break-up. The album (on vinyl and, later, on CD) was credited under the abbreviated name Van der Graaf, like the previous year's The Quiet Zone/The Pleasure Dome, and featured the same line-up plus newcomer cellist Charles Dickie, who had officially joined the band in August 1977, and original saxophonist and flautist David Jackson, who re-joined the band for this recording.

The album is noted for its sometimes radical reworking of the older material. Although Van der Graaf Generator were seldom less than intense on stage, the 1977 and 1978 tours were remarkable for their ferocity. The absence of Hugh Banton, whose organ work was a hallmark of the group's sound before his departure in 1976, as well as frontman Peter Hammill's increased duties as a rhythm guitarist, account for much of this.

Flow network

In graph theory, a flow network (also known as a transportation network) is a directed graph where each edge has a capacity and each edge receives a flow. The amount of flow on an edge cannot exceed the capacity of the edge. Often in operations research, a directed graph is called a network. The vertices are called nodes and the edges are called arcs. A flow must satisfy the restriction that the amount of flow into a node equals the amount of flow out of it, unless it is a source, which has only outgoing flow, or sink, which has only incoming flow. A network can be used to model traffic in a road system, circulation with demands, fluids in pipes, currents in an electrical circuit, or anything similar in which something travels through a network of nodes.

Definition

Let be a finite directed graph in which every edge has a non-negative, real-valued capacity . If , we assume that . We distinguish two vertices: a source s and a sink t. A flow in a flow network is a real function with the following three properties for all nodes u and v: