In chemistry, a solution is a homogeneous mixture composed of two or more substances. In such a mixture, a solute is a substance dissolved in another substance, known as a solvent. The solution more or less takes on the characteristics of the solvent including its phase, and the solvent is commonly the major fraction of the mixture. The concentration of a solute in a solution is a measure of how much of that solute is dissolved in the solvent, with regard to how much solvent is present.
Homogeneous means that the components of the mixture form a single phase. The properties of the mixture (such as concentration, temperature, and density) can be uniformly distributed through the volume but only in absence of diffusion phenomena or after their completion. Usually, the substance present in the greatest amount is considered the solvent. Solvents can be gases, liquids or solids. One or more components present in the solution other than the solvent are called solutes. The solution has the same physical state as the solvent.
Solution were a Dutch progressive rock band that existed from 1970 to 1983, during which time they released six studio albums and one live album. They incorporated jazz, rock, pop and soul influences, becoming more commercial on their fifth and sixth albums.
Their first eponymous LP comprised mainly instrumental pieces, complex yet repetitive in structure, with bassist Peter van der Sande singing on one track. He was succeeded by Guus Willemse around the time of its release, and immediately the band began recording more vocal songs; three of the tracks on second album Divergence featured lyrics.
The third album Cordon Bleu (1975) was released on Elton John's own label named The Rocket Record Company, as was its follow-up Fully Interlocking (1977). Both albums were produced by John's producer Gus Dudgeon, and featured a crisper sound and more concise songwriting.
Despite some criticism for a more commercial direction, the next two albums, ...It's Only Just Begun... (1980) and Runaway (1982) continued this trend. The two title tracks from these albums became hit singles in Europe.
In mathematics, to solve an equation is to find what values (numbers, functions, sets, etc.) fulfill a condition stated in the form of an equation (two expressions related by equality). When searching a solution, one or more free variables are designated as unknowns. A solution is an assignment of expressions to the unknown variables that makes the equality in the equation true. In other words, a solution is an expression or a collection of expressions (one for each unknown) such that, when substituted for the unknowns, the equation becomes an identity. A problem of solving an equation may be numeric or symbolic. Solving an equation numerically means that only numbers represented literately (not as a combination of variables), are admitted as solutions. Solving an equation symbolically means that expressions that may contain known variables or possibly also variables not in the original equation are admitted as solutions.
Vile may refer to:
Vile is a British surname which may refer to:
The origin of the name is most likely from Danish a village or coastal area of Denmark that still exists today and named after the Norse pagan god Vile (Vili) the brother of Oden who created the earth with their brother Vi.
Vile is an American death metal band, formed in 1996 in Concord, California by guitarist-producer Colin E. Davis (who is now the only original member in the line-up) and singer Juan Urteaga, recruiting the rest of the band from the ranks of disbanded groups such as Lords of Chaos, Entropy, Sporadic Psychosis and Thanatopsis. Vile toured the United States and Europe several times since their inception in 1996 including with Cannibal Corpse in 2004. Their most recent tour was of Japan in December 2013.
The band has released four studio albums between 1999 and 2011 and re-released their demos and some live material on Rare Tracks, distributed by Hammerheart Records. The band started recording of the fourth album Metamorphosis on January 25, 2009, which was released in late 2011 by Willowtip Records in North America and Hammerheart Records in Europe.
Vile found publicity in the late 90's when members of the band Cannibal Corpse praised their sound and wore their T shirts in publicity photos. Although Vile's sound has a wide variety of influences, their first album contained riffs clearly influenced by Cannibal Corpse and the name Vile itself is the title of an album by Cannibal Corpse. Founding member Davis has stated that these relations were unintentional and his biggest early influence was the Florida band Morbid Angel. Vile is known for high standards in musicianship and studio quality, and Davis produced and recorded their albums, sometimes in coordination with singer Juan Urteaga.