In statistical mechanics, the radial distribution function, (or pair correlation function) in a system of particles (atoms, molecules, colloids, etc.), describes how density varies as a function of distance from a reference particle.
If a given particle is taken to be at the origin O, and if is the average number density of particles, then the local time-averaged density at a distance from O is . This simplified definition holds for a homogeneous and isotropic system. A more general case will be considered below.
In simplest terms it is a measure of the probability of finding a particle at a distance of away from a given reference particle, relative to that for an ideal gas. The general algorithm involves determining how many particles are within a distance of r and r+dr away from a particle. This general theme is depicted to the right, where the red particle is our reference particle, and blue particles are those which are within the circular shell, dotted in orange.
Tenacious D is an American rock duo that was formed in Los Angeles, California in 1994. Composed of lead vocalist and guitarist Jack Black and lead guitarist and vocalist Kyle Gass, the band has released three albums – Tenacious D (2001), The Pick of Destiny (2006) and Rize of the Fenix (2012). Tenacious D's studio releases, and (as of 2006) its live performances, feature a full band lineup, including such musicians as guitarist John Konesky and bassist John Spiker. Drummer Dave Grohl (Foo Fighters, Nirvana) has played on every studio release.
The band first gained popularity in 1997 when they starred in their eponymous television series and began to support large rock acts. In 2001, they released Tenacious D, their debut album featuring a full band. The first single, "Tribute," was the band's most successful achieving their only Top 10 in any chart, until they released "The Metal", which was shown on Saturday Night Live. In 2006, they starred in, and recorded the soundtrack for, the film Tenacious D in The Pick of Destiny. In support of the film, the band went on a world tour, appearing for the first time with a full band. They released their newest album Rize of the Fenix on May 15, 2012.
Tenacious D: The Greatest Band on Earth is a TV series that ran on HBO in 1997, 1999 and 2000. It featured the fictional accounts of the real band Tenacious D, which is composed of members Jack Black and Kyle Gass. All of the episodes of the show are available on Tenacious D's The Complete Masterworks DVD.
The show included many songs that would later be recorded for the band's studio albums Tenacious D and The Pick of Destiny.
Dispute with HBO
According to Kyle Gass, HBO offered Tenacious D a deal to make ten episodes, but in doing so, they would have to relinquish their role as executive producers. Gass and Jack Black decided to make a movie instead of giving HBO creative control of Tenacious D, and they made The Pick of Destiny.
Episodes
There were three episodes total in the season; episodes consisted of two shorts, shown back-to-back. Altogether, the duration was 23 minutes. All the episodes combined can be viewed on The Complete Masterworks, the full runtime is 70 minutes.
Tenacious D is the first studio album by Americancomedy rock band Tenacious D, released on September 25, 2001 by Epic Records. The album's polished production was a departure from the band's acoustic origins, due in part to the production of the Dust Brothers.
"Tribute" was the first single released from the album, followed by "Wonderboy". Both singles had music videos filmed for them, with the Liam Lynch–directed Tribute video achieving cult status. While Tenacious D did not achieve chart success after its release, it was certified platinum by the Recording Industry Association of America by the end of 2005. Despite only peaking at #38 in the UK, it had sold 426,000 copies countrywide by 2006.
Conception
For their first album, they enlisted the help of drummer Dave Grohl, keyboardist Page McConnell of Phish, guitarist Warren Fitzgerald, and bass player Steven Shane McDonald. The Dust Brothers produced the album. The majority of the songs on their debut album stem from early versions as seen on their HBO TV series, Tenacious D. The record itself does not list the song titles on the back cover as is the convention but instead on the back cover of the jacket; therefore one must open the CD (after presumably buying it) to read them. This is perhaps to allow songs with expletives or words otherwise deemed offensive to escape censorship or omission.
Dude, i totally miss you I really fucking miss you I'm all alone, All the time, all the time Dude, i totally miss you The things we did together Where have you gone? Totally miss the honesty And special times, and honestly I totally miss the fucked up thing ya do Dude, i totally miss you I totally miss you Dude, i totally miss you All the time Ahhhhhhhhhh, aaaaaah Ahhhhhhhhhhhh, aaaaaah aah ya-he haaa. Totally miss the honesty And special times, and honestly I totally miss the fucked up thing ya do Dude, i totally miss you I totally miss you Dude, i totally miss you
In a game where neither team could generate much offense, late free throws by multiple players allowed Central McLean to survive the attempted heroics of Garrison's LittleHailPerkins... .
A recent book chronicling Aspen’s history repeated the mythology that Aspen’s mining industry tanked after the Panic of 1893. I find it important to repeat my annual attempt at ending the myth ...The Midnight more than tripled its depth ... .
When Clara Barton founded the American Red Cross in 1881 at age 59, she had already spent a lifetime caring for people — whether it was nursing her injured brother at 11 years old, securing public education for children, aiding ... .
HABROR SPRINGS —There’s always a lot of talk about the offensive output of the Harbor Springs girls basketball team ... But, this season, opponents likely don’t stop talking about the Rams’ defensive tenacity following games. The Gaylord St ... For St ... For St.
Kyle Gass showed off his dramatic weight loss as he made a major announcement on Tenacious D's Instagram account on Thursday ... The joke meant Tenacious D's Jack Black was forced to cancel his Spicy MeatBall Tour in Australian and New Zealand.
Kyle Gass showed off his dramatic weight loss as he made a major announcement on Tenacious D's Instagram account on Thursday ... The joke meant Tenacious D's Jack Black was forced to cancel his Spicy MeatBall Tour in Australian and New Zealand.
Kyle Gass – one half of the rock group Tenacious D – has shared details of a 2025 UK and European tour ... Kyle Gass and Jack Black of Tenacious D ... and said that Tenacious D will “be back” at a later date.
Among the numerous pioneer and homesteader stories that form the collective narrative of NorthwestColorado, the story of Henry Davis stands out ... The homestead of Henry E ... You really have to be tenacious to set out on that dream.” ... .
When Jodi Lukens thinks back on a job change she made more than two decades ago, coming to work for the DubuqueFire Department, she calls it “the best decision I ever made in my life.” ... .
in a system of particles (atoms, molecules, colloids, etc.), describes how density varies as a function of distance from a reference particle.
is the average number density of particles, then the local time-averaged density at a distance 
from O is 
. This simplified definition holds for a 
The Daily Nonpareil
08 Mar 2025
The Daily Nonpareil
08 Mar 2025