Neutral Milk Hotel Origins what are their origins? Jeff Mangum, along with high-school friends Will Cullen Hart and Bill Doss, formed The Olivia Tremor Control, what was their first  release? Mangum appearing on their first release, the California Demise 7". did they have a different name when they started? Neutral Milk Hotel moniker, Mangum recorded a few cassettes under the name Milk; what were some of these casettes called? 1991's Invent Yourself a Shortcake, 1992's Beauty (not to be confused with the earlier cassette), and 1993's Hype City Soundtrack,
did they produce any hits?
Did Neutral Milk Hotel produce any hits?
Jeff Mangum, along with high-school friends Will Cullen Hart and Bill Doss, formed The Olivia Tremor Control, with Mangum appearing on their first release, the California Demise 7".  Prior to recording for friends under the Neutral Milk Hotel moniker, Mangum recorded a few cassettes under the name Milk; the most well-known of these tapes was called Pygmie Barn in E Minor. These are the earliest known recordings that Mangum initiated and executed himself. There were only an estimated dozen or so copies ever made of this tape, none of which has been made public. It was revealed c. 2006 on the Elephant 6 online forums that another tape under said name, entitled Beauty, was released, along with several recordings under the name Ruby Bulbs (also a song dating from that era, perhaps the only Milk song to be played by Neutral Milk Hotel).  Neutral Milk Hotel began simply as a recording project for Mangum, in the late 1980s. He produced several demo cassettes, among them 1991's Invent Yourself a Shortcake, 1992's Beauty (not to be confused with the earlier cassette), and 1993's Hype City Soundtrack, along with two more from this period, seemingly unnamed. Although easily found on the Internet, these demos capture the project at a very embryonic stage: songs are played in between various sound collages and tape experiments, one of which consists only of a six-minute conversation between Mangum and Hart. Another track, "Digestion Machine", features a varied collage of voices answering the question asked by Mangum, "What does the digestion machine mean to you?". The more accessible "Synthetic Flying Machine", also titled "Up and Over", later became "The King of Carrot Flowers Pt. 3" on In the Aeroplane Over the Sea.  During this period, Mangum was wandering the country, staying with friends, and in a state of perpetual unemployment. It was in these circumstances that the band's first formal releases took shape. Strictly speaking, however, the 'band' usually consisted of Mangum and whoever else was present at the time. This is obvious on Neutral Milk Hotel's first release, a 7" record entitled Everything Is, recorded when Mangum was spending time in Seattle, Washington, released on Cher Doll Records in 1993. CANNOTANSWER
CANNOTANSWER
Neutral Milk Hotel was an American rock band formed in Ruston, Louisiana, by musician Jeff Mangum. The band's music featured a deliberately low-quality sound, influenced by indie rock and psychedelic folk. Mangum was the lyricist, and wrote surreal and opaque songs that covered a wide range of topics, including love, spirituality, nostalgia, sex, and loneliness. He and the other band members played a variety of instruments, including non-traditional rock instruments like the singing saw, uilleann pipes, and zanzithophone.

Neutral Milk Hotel began as one of Mangum's home recording projects, and in 1994, he released the song "Everything Is" on Cher Doll Records. The single's exposure convinced him to record more music under this name, and in 1996, he worked with childhood friend Robert Schneider to record the album On Avery Island. The album received modest reviews, and sold around 5,000 copies. After the release of On Avery Island, Mangum recruited musicians Julian Koster, Jeremy Barnes, and Scott Spillane. Neutral Milk Hotel's second album, In the Aeroplane Over the Sea, was released in 1998, and received mostly positive but not laudatory reviews.

While on tour, the band's newfound stardom through the Internet had a negative effect on Mangum, and his mental health began to deteriorate. He did not want to continue touring, and Neutral Milk Hotel went on hiatus shortly after. During the hiatus, Neutral Milk Hotel gained a cult following, and the critical standing of In the Aeroplane Over the Sea rose tremendously. Several music outlets such as Pitchfork and Blender called In the Aeroplane Over the Sea a landmark album for indie rock, and one of the greatest albums of the 1990s. Many indie rock groups such as Arcade Fire and the Decemberists were influenced by Neutral Milk Hotel's eclectic music and earnest lyrics. Neutral Milk Hotel reunited in 2013, and undertook a reunion tour before another hiatus in 2015.

History

Early years
Neutral Milk Hotel originated in Ruston, Louisiana, in the late 1980s, as one of the many home recording projects of musician Jeff Mangum. The project was initially called Milk, and Mangum made the recordings while in high school. Early Milk recordings such as Invent Yourself a Shortcake and Beauty were circulated between Mangum and his friends Robert Schneider, Bill Doss, and Will Cullen Hart. The constant stream of home recording cassette tapes the group made would eventually lead to the formation of a musical collective known as Elephant 6. They were not interested in trying to promote their music to record labels, and instead made the recordings for each other and their classmates. When Mangum learned of another band called Milk, he changed the name of the project to Neutral Milk Hotel, based on a name Hart had suggested.

After graduating from high school, Mangum attended Louisiana Tech University, but dropped out. He moved to Athens and played in a band called Synthetic Flying Machine with Doss and Hart, but left shortly after the band was formed. He then became a vagabond, and lived in cities such as Denver, Los Angeles, and Seattle. Mangum occasionally recorded music during this period, including a 1993 demo album titled Hype City Soundtrack. Schneider says Hype City Soundtrack was a reaction to what Mangum believed was the rampant commercialization of music within large cities. While living in Seattle, Mangum overcame his apprehensions of the music industry and released the single "Everything Is" on Cher Doll Records, under the Neutral Milk Hotel name. The single's exposure convinced Mangum to record more music under this name. According to Mangum: "The single was a godsend because I was pretty much at the end of my rope with just about everything in my life at that point... I ended up sending a tape to [Nancy Ostrander] at Cher Doll Records and she saved me merely by saying she wanted to do a single."

At the time, Mangum was also a bass guitarist for the Apples in Stereo, a band that Schneider formed while living in Denver. The members of the Apples in Stereo wanted to sign with SpinART Records, and met with their legal representative, Brian McPherson, in Los Angeles. McPherson was drawn to Mangum, who was wearing a Shrimper Records T-shirt. After learning that Mangum wrote "Everything Is", a song that McPherson had previously listened to and enjoyed, the two worked out a legal agreement for McPherson to become Neutral Milk Hotel's representative. McPherson sent copies of "Everything Is" and another song "Ruby-Bulbs" to Merge Records founders Laura Ballance and Mac McCaughan. The two liked the music, and added Neutral Milk Hotel to their roster.

On Avery Island and expansion to a quartet

Mangum moved to Denver to record the first Neutral Milk Hotel album, On Avery Island. Schneider served as the producer, and the recording sessions lasted from February to May 1995. Although Schneider was interested in an expansive Beatlesque production, he aligned with Mangum's preference for a lo-fi sound, admitting that "at first it was frustrating, but I came to enjoy it. That's how I learned to produce, doing that record, because I totally had to let go of what I thought it should be like." On Avery Island was released in the United States on March 26, 1996, by Merge Records, and in the United Kingdom on September 30, 1996, by Fire Records. It sold around 5,000 copies, which Merge considered a success. On Avery Island received positive reviews from critics, who characterized the music as lo-fi pop. Kurt Wolff of the Houston Chronicle described listening to the music as "a trippy experience," and ultimately called the album "a fresh, exciting standout." The British publication NME wrote: "Neutral Milk Hotel can convert miserable-as-sin introspection into folky mantras that bore into your skull like a well-aimed power drill." On Avery Island was ranked at number thirty-five on The Village Voice Pazz & Jop poll for 1996.

After the release of On Avery Island, Mangum sought other musicians to tour with. While living in Ruston, Mangum befriended New York musician Julian Koster. They exchanged demo tapes, and Koster joined Neutral Milk Hotel as the bassist. Around this period, Koster received a letter from Chicago drummer Jeremy Barnes, who wrote how he felt he was being led down a different life than he was supposed to live. The letter resonated with Koster and Mangum, and they traveled to Chicago to meet him. After a short audition, the two persuaded Barnes to drop out of DePaul University and join the band. The final band member came when Mangum was traveling to New York City to live with Koster. While on a stop in Austin, Texas, Mangum met former Rustonian musician Scott Spillane, who was working at a pizza shop. Mangum helped make pizzas during the late-night "drunk rush", after which he convinced Spillane to join the band.

The band members moved to New York City, and lived and rehearsed in a house owned by Koster's grandmother. Koster encouraged the band members to play instruments outside their comfort zones. For example, drummer Barnes learned to play the accordion, and Spillane learned how to play the horn parts from On Avery Island, practicing on a two-valve horn for hours every day. On April 28, 1997, Neutral Milk Hotel began a national tour, during which the band members learned to play as a unit. The On Avery Island tour generated enough money for the band members to afford to move to Athens, where a large group of Elephant 6 musicians were living. By the spring of 1997, Mangum had written and demoed nearly every song for a second album. He shared the demos with his bandmates before they moved to Denver to record the album.

In the Aeroplane Over the Sea
Neutral Milk Hotel's second album, In the Aeroplane Over the Sea, was produced by Schneider, and was recorded from July to September 1997. Schneider worked with Mangum to improve upon the lo-fi sound of On Avery Island, in particular with new recording techniques. Mangum liked having a layer of distortion over the music, but Schneider did not use standard effects equipment such as Big Muffs or distortion pedals. Instead, Schneider used heavy compression and placed a Bellari RP-220 tube mic pre-amp close to Mangum's guitar. Schneider then ran the sound through a mixing console, and maxed out the sound on a cassette tape. This process was done for nearly every instrument used on In the Aeroplane Over the Sea. Schneider claimed that the nonlinearities of microphone distortion gave the album its unique "warm" quality.

In the Aeroplane Over the Sea was released on February 10, 1998. Merge pressed 5,500 CD and 1,600 vinyl copies, and expected sales to be similar to On Avery Island. These initial projections were correct, as the album sold moderately well for the first few months. Critical responses to In the Aeroplane Over the Sea were mostly positive, but not laudatory. Rob Brunner of Entertainment Weekly praised the unique instrumentation and "bouncy pop melodies", but described some of the songs as "lifeless acoustic warblers." Pitchfork M. Christian McDermott also commended the music, which he called a blend of "Sgt. Pepper with early 90s lo-fi" that he found "as catchy as it is frightening." A more negative review came from Ben Ratliff of Rolling Stone, who felt the heavy layer of distortion masked the absence of decent melodies. CMJ New Music Monthly ranked In the Aeroplane Over the Sea as the number one album of 1998, and it placed fifteenth in the Pazz & Jop poll for 1998.

To promote the album, Neutral Milk Hotel embarked on a tour of North America and Europe. Musicians John Fernandes and Will Westbrook were brought on as touring members, and were taught how to play the horn parts with Spillane. While on tour, Neutral Milk Hotel gained a reputation for chaotic and physically demanding concerts. Great Lakes member Ben Crum recalled: "It was definitely dangerous. There often seemed to be a very real chance that someone, probably Julian, would get hurt. Jeff was always doing things like picking him up and throwing him into the drums." This caused some audience members to become scared of the band members, who would often ask some audience members if they could spend the night at their house without realizing the homeowner was in fact terrified of them.

Hiatus, and the cult following
Some journalists have noted the release of In the Aeroplane Over the Sea coincided with the rise of the Internet. The album, and by extension Neutral Milk Hotel, became common fixtures on online message boards, and early music websites like Pitchfork gave the band an increased level of promotion. Their newfound high profile had a negative effect on Mangum, and his mental health began to deteriorate. He constantly told his bandmates that he wanted to quit, but never explained why. Some journalists have speculated he became tired of touring and constantly explaining his lyrics to fans, while Elephant 6 biographer Adam Clair believes he may have been overwhelmed by the way fans viewed his music, and the large expectations placed upon any subsequent recordings. Regardless of the reason, Mangum came to the conclusion that he could not continue performing, and instead wanted to disappear from the public eye. Instead of telling the other band members of his decision, he simply avoided the topic of new music altogether. This led to the unofficial breakup of Neutral Milk Hotel shortly after the tour. The final Neutral Milk Hotel live performance occurred on October 13, 1998, in London.

During the hiatus, Mangum occasionally worked on some projects, but nothing was widely publicized. When asked about a third Neutral Milk Hotel album in a 2002 interview, Mangum said: "I don't know. It would be nice, but sometimes I kind of doubt it." While Neutral Milk Hotel did not officially break up, the other band members worked on music with other Elephant 6 bands such as the Music Tapes, the Gerbils, Bablicon, and A Hawk and a Hacksaw. Koster notes how he and the other band members initially thought the hiatus would be a short break to focus on their other musical projects. Koster recounted: "The fact that Neutral Milk wasn't doing something just felt natural, because so much else was happening, and we had just done so much. It didn’t feel unusual at all. I suspected nothing."

Fans of Neutral Milk Hotel were not told why the band went on hiatus. Some were angry, and accused Mangum of being selfish, while others perpetuated hoaxes around what might have happened. The large response helped Neutral Milk Hotel and, in particular, In the Aeroplane Over the Sea gain a cult following and converted Mangum into a larger-than-life figure. In 2003, Creative Loafing writer Kevin Griffis dedicated an entire cover story to trying to track down Mangum for personal closure. The search ended when Mangum sent him an email that read: "I'm not an idea. I am a person, who obviously wants to be left alone." Journalist Mark Richardson attempted to explain In the Aeroplane Over the Sea rise in popularity: "Because [Mangum] was inaccessible, there was no outlet for connection other than the record itself and other fans who shared a passion. By doing nothing, Neutral Milk Hotel developed a cult."

In the Aeroplane Over the Sea critical standing rose tremendously in the years after its release, which journalist Luke Winkie attributes to the cult following. Domino Recording Company released a reissue in 2005, which was awarded a perfect 10/10 score by Mark Richardson of Pitchfork. Richardson wrote: "It's a record of images, associations, and threads; no single word describes it so well as the beautiful and overused kaleidoscope." Other music outlets such as AllMusic and the Encyclopedia of Popular Music also gave the album perfect scores. In the Aeroplane Over the Sea sales figures increased during the 2000s, with an estimated 140,000 copies sold by 2005. Fans of the album became incredibly passionate, recording covers for YouTube, writing poetry, and forming tribute bands. Polygon writer Garrett Martin said: "The fanbase might be relatively small, but it's fervent."

Reunion

Mangum resurfaced in 2008 with a few solo shows, before embarking on full solo tours in 2011 and 2012. During this time, Mangum curated a box set of Neutral Milk Hotel material, which included an extended play of unreleased songs titled Ferris Wheel on Fire. As Mangum was active again within the music industry, rumors began spreading among fans and music outlets of a potential Neutral Milk Hotel reunion.

On April 29, 2013, Neutral Milk Hotel officially announced a reunion tour with all four members of the band. In an interview with Orlando Weekly, Schneider said: "[The hiatus] certainly wasn't purposeful, and I'm not sure [Mangum] even realized he was being a recluse until it was overwhelmingly the case that everyone was talking about it. I've known for seven years that he was going to start touring. I didn't know if he was going to actually start doing it, but I knew in my heart that he was working toward it." Neutral Milk Hotel toured from 2013 to 2015. In a 2014 post on the Neutral Milk Hotel website, the band members wrote how their 2015 tour would be their last tour for the "foreseeable future", and that they were going to take an extended hiatus. The post stated: "Dear friends we love you but it's time to say goodbye for the never ending now."

Artistry

Music

Neutral Milk Hotel was known for its experimental sound, which has been described as a mixture of indie rock and psychedelic folk, with lo-fi production. Critics have noted many other musical influences, including Eastern European choral music, Canterbury Sound, circus music, marching band music, musique concrète, drone music, free jazz, and Tropicália. Neutral Milk Hotel songs typically involved simple chord progressions that Mangum would strum on an acoustic guitar. As the song progressed, more instruments could be introduced. The band members played a wide range of instruments; on In the Aeroplane Over the Sea for example, conventional instruments like drums and distorted guitars were paired with unique instruments like the singing saw, uilleann pipes, and zanzithophone.

Neutral Milk Hotel's early music was considered rough, and featured a considerable amount of distortion. Mark Richardson of Pitchfork believes Mangum's songwriting was undeveloped, and described "Ruby Bulbs" as "raw and noisy and shouty and reflects Mangum's interest in aggro punk, an influence that didn't otherwise surface on his records." On Avery Island represented a move toward greater musical cohesion, and more experimentation. Critic Sasha Geffen said: "The album veers wildly between the accessible and the inscrutable... the abrupt transitions between perfect pop melodies and gaseous balls of noise lend the album a certain wildfire charm." The most experimental song on the album is the final track "Pree-Sisters Swallowing a Donkey's Eye," a thirteen-minute drone track influenced by gamelan and noise music.

Many critics believe In the Aeroplane Over the Sea is Neutral Milk Hotel's best and most fully developed release. By this point, Neutral Milk Hotel had four members as opposed to just Mangum, which allowed for a more complex and organic sound. In the Aeroplane Over the Sea emphasizes structure and texture, and tracks seamlessly segue into one another. The overall sound of the album sometimes abruptly shifts from track to track. Rolling Stone notes the range of musical styles present on the album, such as funeral marches and punk rock. Critic Chris DeVille offers similar commentary, writing: "On the musical axis, Neutral Milk Hotel veered from piercingly intimate psychedelic campfire sing-alongs to full-band segments that barreled ahead with haphazard grace."

Lyrics
Mangum served as the lyricist for Neutral Milk Hotel. His lyrics were surreal and opaque, and often featured a stream of consciousness style of songwriting. The lyrics would often include references to seemingly unrelated subject matter. Biographer Kim Cooper cites the song "King of Carrot Flowers, Pt.1" as an example of this style of songwriting; while the lyrics are about childhood fantasies, there are references to sexual awakenings, domestic violence, religious fanaticism, and tarot card readings. Critic Jim DeRogatis described Mangum's lyricism as "Dr. Seuss illustrating William S. Burroughs, or perhaps Sigmund Freud collaborating on lyrics with Syd Barrett."

According to Mangum, many of his lyrics stem from his subconscious, saying: "Some of it I don't understand, I don't know what it is, but it sounds real nice." Another source of inspiration were the visions, lucid dreams, and night terrors Mangum would have. Mangum would sometimes have full conversations between himself and Schneider while sleepwalking. After coming up with an idea for a song, Mangum would start writing "word bridges," which are small connecting ideas that would bridge the seemingly unrelated lyrics. Mangum cites the song "Two-Headed Boy" as an example, as each verse was written separately from each other over a long period of time, and he used the "word bridges" to connect the verses.

Neutral Milk Hotel songs explore many lyrical themes, including love, spirituality, nostalgia, sex, and loneliness. DeRogatis described Mangum's lyrics as a depiction of id, a personality component related to intrinsic desires. Mangum's lyrics can also be seen as a reaction to events that have happened in his life. For example, "Song Against Sex" was written as a reaction to the use of sex as a source of power in a relationship. A central lyrical topic in In the Aeroplane Over the Sea is the life of Anne Frank, a teenage girl who died in a Nazi concentration camp. Tracks such as "Holland, 1945" and "Ghost" incorporate elements of Anne Frank's life into the lyrics. As a result, some listeners have labeled In the Aeroplane Over the Sea as a concept album. However, Frank's importance to the lyrics is a subject of debate. Some critics argue she is merely an inspiration for some of the tracks, as opposed to an important character within a narrative arc.

Live performances

Neutral Milk Hotel's live performances often featured the four main band members and several other musicians. For example, the reunion tour featured backing musicians Laura Carter, Jeremy Thal, and Mangum's wife Astra Taylor. Almost every musician on stage would play multiple instruments, and switch instruments between songs. Neutral Milk Hotel shows typically lasted between forty-five and ninety minutes. The equipment used onstage was cheap and of poor quality, although for the reunion tour more expensive equipment was used.

Early Neutral Milk Hotel shows were chaotic and disorganized. Butterglory toured with Neutral Milk Hotel in 1996, and member Matt Suggs recalled: "Mangum & Co were confused and disorganized and lovable." In these early performances, band members would wrestle and tickle each other on stage. During the In the Aeroplane Over the Sea tour, the audio technicians for most venues were confused and did not know what to expect. As a result, Carter took on the unusual role of "mix-board translator". According to Carter: "It was more like talking them through what was about to happen, because so much was happening onstage that without someone helping, it was a wail or squeal and the soundman would look at twenty instruments onstage and not know what to dive for."

Legacy
When Neutral Milk Hotel disbanded in 1998, the subsequent cult following propelled the band into a new level of stardom, which led many fans and journalists to call Neutral Milk Hotel an important indie rock band. Much of Neutral Milk Hotel's legacy is derived from In the Aeroplane Over the Sea, which reached sales of roughly 400,000 by 2013. Music outlets such as Pitchfork and Blender have ranked it as one of the greatest indie rock albums of all time, as well as one of the best albums of the 1990s. Richardson noted that In the Aeroplane Over the Sea has become ingrained in the indie rock canon, and consistently attracts new listeners. Chris Morgan of Uproxx wrote: "In short, people share a very deep passion for Neutral Milk Hotel's highly lauded sophomore album... Lots of albums are loved, but few seem to impact people so much, and so singularly." Some critics have discussed how other recordings of the band, such as On Avery Island, are often overlooked by fans due to the popularity of In the Aeroplane Over the Sea.

Part of Neutral Milk Hotel's legacy is also drawn from the general mystique surrounding Mangum. Elephant 6 biographer Adam Clair notes that Mangum's unexplained absence made him more notable than when he was an active member of the music industry. He actively avoided giving interviews, and as a result, music publications began to write clickbait-esque articles in which they would attempt to explain his disappearance with little to no substantive evidence. Even after Mangum resurfaced in 2008, music publications continued publishing emphatic reports on his life. Neutral Milk Hotel's legal representative Brian McPherson said: "When the guy sneezes it's on the front page of Pitchfork."

Neutral Milk Hotel has influenced many indie rock bands. According to Miles Raymer of Esquire, the band's cacophonous sound and earnest lyrics were in direct contrast to the underground music scene in the 1990s. While many groups focused on the theme of detached irony, Neutral Milk Hotel's abrasive and overtly emotional lyrics struck a chord with social outcasts. Groups influenced by Neutral Milk Hotel include Arcade Fire and the Decemberists, both of whom create psychedelic-folk inspired music with non-traditional instruments. Arcade Fire frontman Win Butler said that Neutral Milk Hotel's association with Merge Records was a contributing factor to their signing with Merge Records. Neutral Milk Hotel also influenced bands like AJJ, Beirut, Bright Eyes, The Lumineers, Okkervil River, and Pwr Bttm, as well as artists like Melanie Martinez and Amanda Palmer.

Members
Jeff Mangum – guitars, lead vocals, keyboards, bass guitar (studio only), drums (early) (1989–1998, 2013–2015)
Julian Koster – bass guitar, accordion, musical saw, bowed banjo, keyboards, organ (1996–1998, 2013–2015)
Scott Spillane – trumpet, flugelhorn, trombone, euphonium, guitar, horn arrangements (1996–1998, 2013–2015)
 Jeremy Barnes – drums, piano, organ (1996–1998, 2013–2015)

Timeline

Discography

On Avery Island (1996)
In the Aeroplane Over the Sea (1998)

Notes

Footnotes

References

External links

 

The Elephant 6 Recording Company artists
Indie rock musical groups from Louisiana
Lo-fi music groups
Merge Records artists
Musical groups established in 1989
Musical groups disestablished in 1998
Musical groups disestablished in 2015
Musical groups reestablished in 2013
The discography of Pam Tillis, an American country music singer, consists of 13 studio albums and 45 singles. Her first release, Above and Beyond the Doll of Cutey in 1983, did not produce any major hits. Between 1990 and 2001, she recorded for Arista Nashville, achieving two gold albums and three platinum albums. 33 of her singles for Arista, plus a cut for the soundtrack to Happy, Texas, all made the Hot Country Songs in that timespan. Her only number one was "Mi Vida Loca (My Crazy Life)", although twelve other songs reached the top 10 on the same chart.

Studio albums

1980s–1990s

2000s–2020s

Compilation albums

Singles

1980s–1990s

2000s–2020s

As a featured artist

Other album appearances

Music videos

Guest appearances

Notes

References

Country music discographies
 
 
Discographies of American artists In probability theory, The Poisson scatter theorem describes a probability model of random scattering. It implies that the number of points in a fixed region will follow a Poisson distribution.

Statement 

Let there exist a chance process realized by a set of points (called hits) over a bounded region  such that:

1) There are only a finite number of hits over the entire region K.
2) There are no multiple hits at a single point.
3) There is homogeneity and independence among the hits. i.e. For any non-overlapping subregions , , the numbers of hits in these regions are independent.  

In any region B, let NB be the number of hits in B. Then there exists a positive constant  such that for each subregion , NB has a Poisson distribution with parameter , where  is the area of B (remember that this is , in other measure spaces,  could mean different things, i.e. length in ). In addition, for any non-overlapping regions , the random variables  are independent from one another.

The positive constant  is called the intensity parameter, and is equivalent to the number of hits in a unit area of K. 
 
Proof: 

Also, 

While the statement of the theorem here is limited to , the theorem can be generalized to any-dimensional space. Some calculations change depending on the space that the points are scattered in (as is mentioned above), but the general assumptions and outcomes still hold.

Example   

Consider raindrops falling on a rooftop. The rooftop is the  region , while the raindrops can be considered the hits of our system. It is reasonable to assume that the number of raindrops that fall in any particular region of the rooftop follows a poisson distribution.  The Poisson Scatter Theorem, states that if one was to subdivide the rooftops into k disjoint sub-regions, then the number of raindrops that hits a particular region  with intensity  of the rooftop is independent from the number of raindrops that hit any other subregion. Suppose that 2000 raindrops fall in 1000 subregions of the rooftop, randomly. The expected number of raindrops per subregion would be 2. So the distribution of the number of raindrops on the whole rooftop is Poisson with intensity parameter 2. The distribution of the number of raindrops falling on 1/5 of the rooftop is Poisson with intensity parameter 2/5. 

Due to the reproductive property of the Poisson distribution, k independent random scatters on the same region can superimpose to produce a random scatter that follows a poisson distribution with parameter .

Notes 
^ Pitman 2003, p. 230.

References 

Pitman, Jim (2003). Probability. Springer.

Probability theorems