In computer science, the term range may refer to one of three things:
The range of a variable is given as the set of possible values that that variable can hold. In the case of an integer, the variable definition is restricted to whole numbers only, and the range will cover every number within its range (including the maximum and minimum). For example, the range of a signed 16-bit integer variable is all the integers from −32,768 to +32,767.
When an array is numerically indexed, its range is the upper and lower bound of the array. Depending on the environment, a warning, a fatal error, or unpredictable behavior will occur if the program attempts to access an array element that is outside the range. In some programming languages, such as C, arrays have a fixed lower bound (zero) and will contain data at each position up to the upper bound (so an array with 5 elements will have a range of 0 to 4). In others, such as PHP, an array may have holes where no element is defined, and therefore an array with a range of 0 to 4 will have up to 5 elements (and a minimum of 2).
In arithmetic, the range of a set of data is the difference between the largest and smallest values.
However, in descriptive statistics, this concept of range has a more complex meaning. The range is the size of the smallest interval which contains all the data and provides an indication of statistical dispersion. It is measured in the same units as the data. Since it only depends on two of the observations, it is most useful in representing the dispersion of small data sets.
For n independent and identically distributed continuous random variables X1, X2, ..., Xn with cumulative distribution function G(x) and probability density function g(x) the range of the Xi is the range of a sample of size n from a population with distribution function G(x).
The range has cumulative distribution function
Gumbel notes that the "beauty of this formula is completely marred by the facts that, in general, we cannot express G(x + t) by G(x), and that the numerical integration is lengthy and tiresome."
In music, the range of a musical instrument is the distance from the lowest to the highest pitch it can play. For a singing voice, the equivalent is vocal range. The range of a musical part is the distance between its lowest and highest note.
The terms sounding range, written range, designated range, duration range and dynamic range have specific meanings.
The sounding range refers to the pitches produced by an instrument, while the written range refers to the compass (span) of notes written in the sheet music, where the part is sometimes transposed for convenience. A piccolo, for example, typically has a sounding range one octave higher than its written range. The designated range is the set of notes the player should or can achieve while playing. All instruments have a designated range, and all pitched instruments have a playing range. Timbre, dynamics, and duration ranges are interrelated and one may achieve registral range at the expense of timbre. The designated range is thus the range in which a player is expected to have comfortable control of all aspects.
An oil is any neutral, nonpolar chemical substance that is a viscous liquid at ambient temperatures and is both hydrophobic (immiscible with water, literally "water fearing") and lipophilic (miscible with other oils, literally "fat loving"). Oils have a high carbon and hydrogen content and are usually flammable and slippery.
The general definition of oil includes classes of chemical compounds that may be otherwise unrelated in structure, properties, and uses. Oils may be animal, vegetable, or petrochemical in origin, and may be volatile or non-volatile. They are used for food, fuel, lubrication, and the manufacture of paints, plastics, and other materials. Specially prepared oils are used in some religious ceremonies as purifying agents.
First attested in English 1176, the word oil comes from Old French oile, from Latin oleum, which in turn comes from the Greek ἔλαιον (elaion), "olive oil, oil" and that from ἐλαία (elaia), "olive tree", "olive fruit". The earliest attested forms of the word are the Mycenaean Greek 𐀁𐀨𐀺, e-ra-wo and 𐀁𐁉𐀺, e-rai-wo, written in the Linear B syllabic script.
Oil is a 2009 documentary film directed by Massimiliano Mazzotta. It explores the Italian energy provider Saras S.p.A., operating in the area of oil refining and the production of electricity, located in the island of Sardinia, near Cagliari and the impact of oil development on the land and lives of the local population.
CKY is an American heavy metal band from West Chester, Pennsylvania. Formed in 1998 by vocalist and guitarist Deron Miller, guitarist Chad I Ginsburg and drummer Jess Margera, the group currently features Ginsburg, Margera and bassist Matt Deis, who have performed with frontman Daniel Davies since Miller's departure. Closely linked to the CKY Crew, which features Margera's brother Bam, the band found initial recognition through its musical contributions to the CKY video series and the TV series Jackass.
Originally known by the full name Camp Kill Yourself, and later credited briefly as simply Camp, the band released its debut album Volume 1 in 1999, largely made up of material recorded for the CKY films. The group later signed with The Island Def Jam Music Group and released Infiltrate•Destroy•Rebuild in 2002, which gave the band its first experience of US chart success. An Answer Can Be Found followed in 2005, with latest studio album Carver City released by Roadrunner Records in 2009.