who wrote do n 't let the sun go down
Elton John Bernie Taupin
8879252
Don't Let the Sun Go Down on Me "Don't Let the Sun Go Down on Me" is a song written by English singer Elton John and his lyricist Bernie Taupin. It was originally recorded in 1974 by Elton John for his studio album "Caribou" and was released as a single that peaked at number two on the "Billboard" Hot 100 chart and reached number 16 on the UK Singles Chart. The song found further success in 1991 in a live cover version recorded as a duet between John and George Michael, which reached number one in the UK and US.
Don't Let the Sun Go Down on Me
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issued as the lead track on a free promotional cassette given away at Michael's Wembley Arena gigs in March 1991. Therefore, it is likely to have been recorded at a venue earlier in the tour. "Don't Let the Sun Go Down on Me" has been a popular song for other artists to perform or record including: Don't Let the Sun Go Down on Me "Don't Let the Sun Go Down on Me" is a song written by English singer Elton John and his lyricist Bernie Taupin. It was originally recorded in 1974 by Elton John for his studio album "Caribou"
Don't Let the Sun Go Down on Me
8879252
Don't Let the Sun Go Down on Me "Don't Let the Sun Go Down on Me" is a song written by English singer Elton John and his lyricist Bernie Taupin. It was originally recorded in 1974 by Elton John for his studio album "Caribou" and was released as a single that peaked at number two on the "Billboard" Hot 100 chart and reached number 16 on the UK Singles Chart. The song found further success in 1991 in a live cover version recorded as a duet between John and George Michael, which reached number one in the UK and US.
Don't Let the Sun Go Down on Me
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Cooper and a mellotron played by Dave Hentschel. In the song, Elton John sings to someone he has helped and from whom he is now experiencing rejection: I took a chance and changed your way of life but you misread my meaning when I met you closed the door and left me blinded by the light don't let the sun go down on me although I search myself, it's always someone else I see. I'd just allow a fragment of your life to wander free but losing everything is like the sun going down on me. "Don't Let the Sun
Don't Let the Sun Go Down on Me
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"Don't Let the Sun Go Down on Me" was co-written by Elton John and Bernie Taupin during a ten-day period in January 1974 along with the other songs for John's "Caribou" album. The song was released as the first single from the album in May 1974 in the United Kingdom, and on 10 June 1974 in the United States. The chorus of the song is supported with a horn arrangement by Del Newman, and features backing vocals by Carl Wilson and Bruce Johnston of the Beach Boys and Toni Tennille. Also on the song are percussion accents provided by Ray
Don't Let the Sun Go Down on Me
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John recorded a live version on 14 December 1986 that appears on the "Live in Australia with the Melbourne Symphony Orchestra" album. An edited version of this recording was released as a single in 1987 and also appears in the "To Be Continued..." box set. In 1991, "Don't Let the Sun Go Down on Me" was covered in a live version as a duet by George Michael and Elton John. This version of the song had its greatest success. The pair first performed the song at the Live Aid concert in 1985 (with Michael singing and John playing). Six years
Don't Let the Sun Go Down on Me
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and US, and was Michael's first solo effort as a single. In 1985 Michael received the first of his three Ivor Novello Awards for Songwriter of the Year from the British Academy of Songwriters, Composers and Authors. Michael sang on the original Band Aid recording of "Do They Know It's Christmas?" (which became the UK Christmas number one) and donated the profits from "Last Christmas" and "Everything She Wants" to charity. Michael sang "Don't Let the Sun Go Down on Me" with Elton John at Live Aid at Wembley Stadium in London on 13 July 1985. He also contributed background
George Michael
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on the disco charts with a dance-oriented remake of the Chantays' hit "Pipeline". Also in 1977, he vocal arranged and sang back-up vocals on Eric Carmen's LP "Boats Against the Current" and can be heard on the hit single "She Did It", on which he also arranged the vocals. In addition, Johnston wrote backing vocal arrangements and also sang on the recordings for Elton John's "Don't Let the Sun Go Down on Me" and several songs on Pink Floyd's album "The Wall". Albums Singles Bruce Johnston Bruce Arthur Johnston (born Benjamin Baldwin on June 27, 1942) is an American singer,
Bruce Johnston
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U.S. "Billboard" 200 number one album, "Here We Go Again". He produced and co-wrote "Party Till We Crash" for the female group BG 5. Bianco co-wrote and produced two songs for Bonnie Mckee, "Don't Let It Go to Your Head" and "Girl Who Can't Say No". He co-wrote and produced "Let the Sun Shine" and "Why Don't You Grow Up" for Sophia Black. Bianco co-wrote and produced four songs for the Ajuku Girls, "Tokyo Drift", "Rainbow Sky", "Hono Ono", and "Oshiete". He co-wrote and produced "Down" for actress and singer Meaghan Jette Martin. He produced and co-wrote "Please Don't Let
PJ Bianco
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Jonas Ekfeldt Jonas Ekfeldt is a Swedish music producer and singer. In 1996, using the name Robin Cook, he released the single "I Won't Let the Sun Go Down" (a cover of Nik Kershaw's debut "I Won't Let the Sun Go Down on Me") followed by "Comanchero" and the album "Land of Sunshine" in 1997. Ekfeldt sang and produced "I Won't Let the Sun Go Down" and all subsequent releases under the name Robin Cook, but appointed Manuel Manci to front and perform, thinking he himself lacked time. The truth of who really was the singer was kept secret until
Jonas Ekfeldt
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Lauren, and he placed it on stage in front of his right hand monitor during gigs, for luck. Kershaw was not happy with the video, feeling it was hurried: 16 September 1983 7" single (MCA 816) 12" single (MCAT 816) 4 June 1984 7" single (MCA NIK 4) 12" single (MCA NIKT 4) "I Won't Let the Sun Go Down on Me" "Dark Glasses" "I Won't Let the Sun Go Down on Me" (Extended Dance Mix) "I Won't Let the Sun Go Down on Me" (Extended Remix) Jonas Ekfeldt recorded his version of the song as Robin Cook under the
I Won't Let the Sun Go Down on Me
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I Won't Let the Sun Go Down on Me "I Won't Let the Sun Go Down on Me" is a song written and performed by the English singer-songwriter Nik Kershaw. It was his first single, released in 1983 to little success, but was re-released in 1984 and became his highest charting hit, peaking at no. 2 in the UK. The song was included on Kershaw's debut album "Human Racing". "I Won't Let the Sun Go Down on Me" first charted in November 1983, though despite spending 8 weeks in the UK Top 100, only reached number 47. However, the follow-up
I Won't Let the Sun Go Down on Me
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title "I Won't Let the Sun Go Down" and later formed part of the album "Land of Sunshine" in 1997. The song charted in Sweden for 19 weeks in 1996 peaking at no. 3 and in Finland for 2 weeks peaking at no. 16. Ekfeldt filed a lawsuit against Sveriges Radio for sampling "I Won't Let the Sun Go Down" and accused them for using the sample without permission in the parody "I Won't Let Susan Go Down on Me" on the album "Rally 2" from the radio programme "Rally" on the channel SR P3. Sveriges Radio denied the accusations,
I Won't Let the Sun Go Down on Me
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Swedish newspaper "Aftonbladet" ran an article in 2002. Yet another single was released in 2002 under the name Robin Cook, titled "Susanna" with Ekfeldt on the cover. Ekfeldt filed a lawsuit against, and won over, Sveriges Radio for sampling "I Won't Let the Sun Go Down". Jonas Ekfeldt Jonas Ekfeldt is a Swedish music producer and singer. In 1996, using the name Robin Cook, he released the single "I Won't Let the Sun Go Down" (a cover of Nik Kershaw's debut "I Won't Let the Sun Go Down on Me") followed by "Comanchero" and the album "Land of Sunshine" in
Jonas Ekfeldt
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but the Swedish National Laboratory of Forensic Science compared the songs and asserted that the former song indeed had been sampled. The amount of Ekfeldt's compensation was not made public, but was said to be of a significant amount and a lot more than if the channel had asked for permission first. I Won't Let the Sun Go Down on Me "I Won't Let the Sun Go Down on Me" is a song written and performed by the English singer-songwriter Nik Kershaw. It was his first single, released in 1983 to little success, but was re-released in 1984 and became
I Won't Let the Sun Go Down on Me
8786860
single, "Wouldn't It Be Good", reached the top five and after a further Top 20 hit with "Dancing Girls", "I Won't Let the Sun Go Down on Me" was re-released and soared to number two. It was also subsequently a major hit in several other countries and was responsible for bringing Kershaw to greater public attention. During an appearance on BBC One's "The One Show" in June 2015, Pete Waterman claimed he produced the record. Kershaw took to social media to point out that "I Won't Let the Sun Go Down on Me" was in fact produced by Peter Collins,
I Won't Let the Sun Go Down on Me
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Go Down on Me" charted on 1 June 1974 in the UK, reaching number 16 on the UK Singles Chart. The song reached the top 10 on the "Billboard" Hot 100 chart after four weeks, peaking at number two for two weeks from 27 July behind John Denver's "Annie's Song". In the US, the single was certified Gold on 6 September 1974 by the RIAA. In Canada, it reached number one, becoming his fifth chart topper in that country. | style="width:35px; text-align:center;" rowspan="2"|1975 || rowspan="2"| "Don't Let the Sun Go Down on Me" || Record of the Year || Elton
Don't Let the Sun Go Down on Me
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In general the terms in the Iwasawa decomposition "g" = "kan" do not commute. If the ground field is not perfect, then a Jordan–Chevalley decomposition may not exist. Example: Let "p" be a prime number, let "k" be imperfect of characteristic "p", and choose "a" in "k" that is not a "p"th power. Let "V = k[x]/(x-a)", and let "T" be the "k"-linear operator given by multiplication by "x" on "V". This has as its stable "k"-linear subspaces precisely the ideals of "V" viewed as a ring. Suppose "T=S+N" for commuting "k"-linear operators "S" and "N" that are respectively semisimple
Jordan–Chevalley decomposition
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of "M" is primitive and if we take "α" = 1 we have "M" = {("t","t")|"t" ∈ "T"}, which includes Inn("T") on Ω. In fact any automorphism of "T" will act on Ω. A primitive group of type HS is then any group "G" such that "M" ≅ "T".Inn("T") ≤ "G" ≤ "T".Aut("T"). All such groups have "N" and "N" as minimal normal subgroups. HC (holomorph of a compound group): Let "T" be a nonabelian simple group and let "N" ≅ "N" ≅ "T" for some integer "k" ≥ 2. Let Ω = "T". Then "M" = "N" × "N"
O'Nan–Scott theorem
2203109
show received a text message from a female listener saying that band member Dappy was "vile" and "a little boy with a silly hat" and that N-Dubz were "losers". Dappy secretly copied her phone number from the studio console and sent abusive and threatening text messages to the woman the following day including one telling her she was "gonna die!". Moyles said of the resulting criticism: "I feel let down by him, I've supported them and said, 'Do you know what, N-Dubz aren't just a bunch of dippy chavs, they're really good.' So for him to go and do something
Chris Moyles
9258684
The Sun Shines Brighter The Sun Shines Brighter is the second studio album from English band Ultra, released in October 2006, seven years after their debut album "Ultra". The lineup consists of James Hearn, vocals and piano; Michael Harwood, vocals and guitar; Nick Keynes, bass; and Jon O'Mahony, drums and percussion. The majority of the songs were written by the four original members of the band who reunited in 2005 to write and record it. James Hearn wrote "Happiness". Former member Alistair Griffin wrote "Don't Let Go" and "In Your Smile", and also co-wrote "Feeling Alive". Griffin's vocals have been
The Sun Shines Brighter
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pantheist Bible of worshipping elements, the Moon and the stars. Among its recurrent theme is that 'stopping the time' and reaching the 'magic in moment' ("The thought has no means to fathom depths/ No means to slow down the running Spring/ It can, though, say Stop! to time/ Break down its own chains and now be chained by Dream"). Fire, the earthly 'face' of the Sun, holds special place in Balmont's scheme of things. "Russian literature has never known such fire-worshipper, as Balmont was," biographer Nikolai Bannikov wrote. Let Us Be Like the Sun Let Us Be Like the Sun
Let Us Be Like the Sun
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they were promoting the game franchise "Guitar Hero". Archuleta's first appearances on music ranking charts were with the three songs he performed in the "American Idol" finale; "Don't Let the Sun Go Down on Me", "In This Moment", and "Imagine", debuted on the "Billboard" Hot 100 chart the week of June 7, 2008. "Imagine" entered at number 36 (giving Archuleta his first top forty hit), "Don't Let the Sun Go Down on Me" at number 58, and "In This Moment" entered at number 60. That same week he had three songs on "Billboard"'s Bubbling Under Hot 100 Singles chart as
David Archuleta
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blue or is he red?"" In September 1984, Kershaw told "Number One" magazine: The song was originally written as a folk protest song, but as Kershaw's manager had signed him up to Peter Collins and Pete Waterman's Loose Ends production company, it turned into a pop anthem in the studio. In Kershaw's version, the synth tune was produced with an Oberheim OB-8 played by Paul Wickens (Wix). There are two different music videos for this song. The original video for "I Won't Let the Sun Go Down on Me" shows Kershaw singing the song on a hillside and in a
I Won't Let the Sun Go Down on Me
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I swear I fix you,' only to tell him a few lines later, 'If you love me, then let go of me / I won't be held down by who I used to be.'" While reviewing "The Open Door", Ed Thompson of IGN put "Weight of the World" in his "Definitely Download" list, along with "Call Me When You're Sober", "Sweet Sacrifice" and "Lacrymosa". "The Washington Post"s Richard Harrington wrote that "There's no shortage of soaring, dynamic rockers on 'The Open Door,' including 'Sweet Sacrifice,' 'Weight of the World,' 'Snow White Queen' and 'Lacrymosa.'" Simon Cosyn from "The Sun" stated
Weight of the World (Evanescence song)
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ordered not to speak for four days. James Newton Howard, who was at the time an up-and-coming film composer in Hollywood, joined John to conduct and write larger, augmented charts of not only his own previous work on "Tonight", but also Paul Buckmaster's original arrangements, since the music was to be played by 88 musicians, instead of the smaller studio orchestra for which the compositions were originally designed. He also wrote brand new full orchestra parts for songs such as "Don't Let the Sun Go Down on Me", which previously only had horn arrangements. John's live sound engineer, Clive Franks,
Tour De Force (tour)
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T is semi-convergent. We call an "n" × "n" matrix T a convergent matrix if for each "i" = 1, 2, ..., "n" and "j" = 1, 2, ..., "n". Let Computing successive powers of T, we obtain and, in general, Since and T is a convergent matrix. Note that "ρ"(T) = , where "ρ"(T) represents the spectral radius of T, since is the only eigenvalue of T. Let T be an "n" × "n" matrix. The following properties are equivalent to T being a convergent matrix: A general iterative method involves a process that converts the system of linear
Convergent matrix
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subset ("inside "R"" and "outside "R""), with a relatively small "loss" (the squares intersected by R are considered "lost" because they do not belong to any of the two subsets). Define a "2-fat rectangle" as an axis-parallel rectangle with an aspect ratio of at most 2. Let "R" be a minimal-area 2-fat rectangle that contains the centers of at least "n"/3 squares. Thus every 2-fat rectangle smaller than "R" contains fewer than "n"/3 squares. For every "t" in [0,1), let "R" be a 2-fat rectangle with the same center as "R", inflated by 1 + "t". Now it remains to
Geometric separator
2540731
secretly reported to Sun Quan that Zhuge Jin had sent a close aide to speak with Liu Bei. Sun Quan did not suspect Zhuge Jin's loyalty towards him and instead remarked, "I have made an oath with Ziyu. As long as Ziyu doesn't let me down, I won't let him down." The "Jiang Biao Zhuan" (江表傳) recorded that when Zhuge Jin was serving as the Administrator of Nan Commandery, someone secretly reported to Sun Quan that Zhuge Jin had covert dealings with Liu Bei. When Lu Xun heard of such rumours, he wrote a memorial to Sun Quan to speak
Zhuge Jin
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on Temple Island Meadows at Henley-on-Thames. On 13 May 2010, Kershaw appeared on stage and hosted "Our Friends Acoustic" in aid of Mencap. He performed "The Riddle", "Wouldn't It Be Good", "Dancing Girls" and "I Won't Let the Sun Go Down on Me". Other 1980s performers joined him and performed their own songs, including Andy Bell, Carol Decker, Howard Jones, Jimmy Somerville, China Crisis and Steve Strange at The O2 in London. Kershaw wrote songs and performed for the soundtrack of the 2010 film, "Round Ireland with a Fridge" by Tony Hawks. He wrote and sang the theme song, "If
Nik Kershaw
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known as the "principle of virtual work." This is equivalent to the requirement that the generalized forces for any virtual displacement are zero, that is "Q"=0. Let a mechanical system be constructed from n rigid bodies, B, i=1...,n, and let the resultant of the applied forces on each body be the force-torque pairs, F and T, i=1...,n. Notice that these applied forces do not include the reaction forces where the bodies are connected. Finally, assume that the velocity V and angular velocities ω, i=,1...,n, for each rigid body, are defined by a single generalized coordinate q. Such a system of
Rigid body dynamics
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conjunction with their tour supporting Kevin Devine, the band and Devine released a collaborative split 7" vinyl EP, including two new River City Extension songs, "Ballad of Oregon" and "Point of Surrender". In October 2011, it was announced that River City Extension planned to record its second full-length album with producer Brian Deck that fall. The album, "Don't Let The Sun Go Down On Your Anger" was released June 5, 2012. The title paraphrases a quote from the Bible verse found at Ephesians 4:26, which speaks to believer's about righteous indignation or anger. "In your anger do not sin: Do
River City Extension
9713365
Nagel point In geometry, the Nagel point is a triangle center, one of the points associated with a given triangle whose definition does not depend on the placement or scale of the triangle. Given a triangle "ABC", let "T", "T", and "T" be the extouch points in which the "A"-excircle meets line "BC", the "B"-excircle meets line "CA", and "C"-excircle meets line "AB", respectively. The lines "AT", "BT", "CT" concur in the Nagel point "N" of triangle "ABC". The Nagel point is named after Christian Heinrich von Nagel, a nineteenth-century German mathematician, who wrote about it in 1836. Another construction
Nagel point
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grows as formula_1. For example, when "n" = 50 it takes about 225 trials on average to collect all 50 coupons. Let "T" be the time to collect all "n" coupons, and let "t" be the time to collect the "i"-th coupon after "i" − 1 coupons have been collected. Think of "T" and "t" as random variables. Observe that the probability of collecting a coupon is "p" = ("n" − ("i" − 1))/"n". Therefore, "t" has geometric distribution with expectation 1/"p". By the linearity of expectations we have: Here "H" is the "n"-th harmonic number. Using the asymptotics of
Coupon collector's problem
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is, "G" is an almost simple group and so the name. We are not told anything about what the action is, other than that it is primitive. Analysis of this type requires knowing about the possible primitive actions of almost simple groups, which is equivalent to knowing the maximal subgroups of almost simple groups. SD (simple diagonal): Let "N" = "T" for some nonabelian simple group "T" and integer "k" ≥ 2 and let "H" = {("t...,t")| "t" ∈ "T"} ≤ "N". Then "N" acts on the set Ω of right cosets of "H" in "N" by right multiplication. We
O'Nan–Scott theorem
9866676
Time Won't Let Me Go "Time Won't Let Me Go" is a song by American alternative rock band The Bravery and is featured on their second album "The Sun and the Moon". The song was also released as the first single from that album on March 27, 2007, in the United States (see 2007 in music). In the United Kingdom, the song was released as a single on July 9, 2007. Featured on the soundtrack of the movie "Never Back Down", it was also featured in "Leverage" episode The Snow Job. The second verse contains references to Bryan Adams' hit
Time Won't Let Me Go
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film "A Sense of Freedom" (also 1979), based on the autobiography of Glaswegian gangster Jimmy Boyle, detailing his crimes and subsequent reform. McDougall's subsequent plays "Shoot For The Sun" (1986), a bleak BBC drama starring Jimmy Nail and Brian Cox about Edinburgh's heroin problem, and "Down Where The Buffalo Go" (1988) starring Harvey Keitel, and "Down Among The Big Boys" (1993) did not meet with as significant critical acclaim. However he has remained good friends since with Keitel, who played the lead in "Down Where The Buffalo Go". Keitel was caught wearing a “Get Me Peter” T-shirt during the filming
Peter McDougall
20435550
all from the various generations and they have emotions and internal conflicts, but they just express differently. Lung used her smoothly written style to wrote down three generation’s people’s emotions and lonely or shallow life, that can let all the readers from different generations to realize that; all the remorse and unwillingness is just part of the life, all we can do is moving on and look forward, to use the "now" to fill the emptiness and trauma, and reconciliation with life with love and let go.” Musong Musong (目送: ocular farewelling) is a collection of 74 proses written by
Musong
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a private garden plot when I was little which I took care of all by myself. I remember I used to take the bike when my parents gave me my weekly allowance down to the store where I bought the seeds to grow carrots, radishes and various flowers." She also adds, "When I was little I was a silent and shy girl, the girl who always let everyone go ahead of her, the girl who always let people do better than me, the girl who never dared to do anything. With these things , I have learned that you will
Maria Taipaleenmäki
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for a club performance on September 8, 1993, the song was not played live from 1980 to 1995. It was returned to the setlist for the Reunion Tour. It was left out on the Rock the Nation Tour, but returned on the Alive 35 Tour and has been played ever since. "Let Me Go, Rock 'n' Roll" has appeared on following albums: Let Me Go, Rock 'n' Roll "Let Me Go, Rock 'n' Roll" is a song by the American hard rock band Kiss, released in 1974. It was released as the only single from their second album "Hotter Than
Let Me Go, Rock 'n' Roll
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easily follows that the fixed point is the limit of any sequence of iterations of "T". "Remark 3." When using the theorem in practice, the most difficult part is typically to define "X" properly so that "T"("X") ⊆ "X". Let "x" ∈ "X" be arbitrary and define a sequence {"x"} by setting "x" = "T"("x"). We first note that for all "n" ∈ N, we have the inequality This follows by induction on "n", using the fact that "T" is a contraction mapping. Then we can show that {"x"} is a Cauchy sequence. In particular, let "m", "n" ∈ N
Banach fixed-point theorem
7489781
from the soy sauce and hard work coming from the music, we will lie down on our beloved fellow Koreans! Do not let the time be too early to do anything; let the work run fast." Ryu Gwansun Yu Gwan-sun (; December 16, 1902 – September 28, 1920), also known as Yu Gwansun, was an organizer in what would come to be known as the March 1st Movement against Imperial Japanese colonial rule of Korea in South Chungcheong. The March 1st Movement was considered a peaceful demonstration by the Korean people against Japanese rule. Yu Gwan-sun became one of the
Ryu Gwansun
4185302
by Sidney Lumet, "The Fugitive Kind", starring Marlon Brando and Anna Magnani, mentions sundown towns. A small town sheriff in the south tells Brando's character about a sign in a town that says, "Nigger, don't let the sun go down on you in this county". Oprah Winfrey visited Forsyth County, Georgia on a 1987 episode of her television show. The county is infamous for its expulsion of African Americans at the beginning of the 20th century. Playwright John Henry Redwood III wrote the play "No Niggers, No Jews, No Dogs" after he saw the words written on a sign from
Sundown town
9705077
riff on the song "The Basket". He also wrote the instrumental "Spring Bells", and the songs "She's Evil", "Monotonia" and "Blue Eyes". He is known for his use of unusual instruments, most notably using electric power drills on his guitar and playing the typewriter and a giant clothes peg percussively. He is also known for his unique way of using guitar effects pedals to create otherworldly soundscapes. In 2009, Magrão performed with Daniel Johnston at his Union Chapel show. They performed some of Daniel's classic songs including Speeding Motorcycle, Casper the Friendly Ghost, Don't Let the Sun Go Down on
MC Lord Magrão
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disjoint sets of size (n-f) among the n processes. So 2*(n-f)≤ n leading to n≤2f, which contradicts the fact that n>2f. So the "READ" must read at least one value written by that "WRITE". A SWMR register can be written by only one process but can be read by multiple processes. Let n be the number of processes which can read the SWMR register. Let R, 0i</sub> when 0j</sub>. The implementations of "Read" and "Write" are shown below. The t-value of an operation is the value of t it writes and the operations are linearized by t-values. If "Write" and
Shared register
9667723
be our last . . . Before another one is due freedom of speech may be a thing of the past. Whether it is the last one or not, it will certainly be the most important. See that you read every word of it and do not let the sun go down without taking action on the information. The APRF's head Stephanie Williams testified against the bills before an Assembly committee and, in conjunction with other far-right groups, convinced the committee to pass Bill 3300 back to the Rules Committee, where it languished for another two years. The "American Journal
American Public Relations Forum
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He then succeeded his father as vicar of St Matthew's, Northampton, a position he held until 1955. In his book, "Patron of Art", Hussey wrote 'Perhaps my succeeding him may suggest nepotism, but I don't think it was. I was not anxious to go there; it seemed that there was little one could do but let the parish down ... my various authorities advised me that it was right that I should go'. During his school and university years Hussey had shown an interest in the arts, music, drama, painting and sculpture. His years in London gave him the opportunity
Walter Hussey
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vertex, the two children are "t"-separated in the given space norm: Theorem. The Banach space "X" is super-reflexive if and only if for every , there is a number "n"("t") such that every "t"-separated tree contained in the unit ball of "X" has height less than "n"("t"). Uniformly convex spaces are super-reflexive. Let "X" be uniformly convex, with modulus of convexity δ and let "t" be a real number in . By the properties of the modulus of convexity, a "t"-separated tree of height "n", contained in the unit ball, must have all points of level contained in the ball
Reflexive space
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for vector spaces (modules over a field) and abelian groups (modules over formula_102) are special cases of these. For finite-dimensional vector spaces, all of these theorems follow from the rank–nullity theorem. In the following, “module” will mean “"R"-module” for some fixed ring "R". Let "M" and "N" be modules, and let "φ": "M" → "N" be a module homomorphism. Then: In particular, if "φ" is surjective then "N" is isomorphic to "M" / ker("φ"). Let "M" be a module, and let "S" and "T" be submodules of "M". Then: Let "M" be a module, "T" a submodule of "M". To
Isomorphism theorems
8714851
"When the Lights Go Down"". Jim Emersonon of "Sun Times" wrote Renata Adler's 7,646-word massive attack on Kael in the "New York Review of Books"", "...was ostensibly a review of Kael's 1980 collection "When the Lights Go Down"". He further offered that in her own "The Perils of Pauline", Adler panned Kael's work on the volume when Adler wrote "Now, "When the Lights Go Down," a collection of her reviews over the past five years, is out; and it is, to my surprise and without Kael- or Simon-like exaggeration, not simply, jarringly, piece by piece, line by line, and without
When the Lights Go Down (book)
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his own previous work on "Tonight," but also Paul Buckmaster's original arrangements, since the music was to be played by 88 musicians, instead of the smaller studio orchestra for which the compositions were originally designed. He also wrote brand new full orchestra parts for songs such as "Don't Let the Sun Go Down on Me", which previously only had horn arrangements. The album features most of the songs recorded in the second half of the show, excluding "Saturday Night's Alright for Fighting", "Carla/Etude", "Cold as Christmas (In the Middle of the Year)" and "Slow Rivers", which was sung by John
Live in Australia with the Melbourne Symphony Orchestra
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topologies on a set with "n" elements. It also lists the number of inequivalent (i.e. nonhomeomorphic) topologies. Let "T"("n") denote the number of distinct topologies on a set with "n" points. There is no known simple formula to compute "T"("n") for arbitrary "n". The Online Encyclopedia of Integer Sequences presently lists "T"("n") for "n" ≤ 18. The number of distinct T topologies on a set with "n" points, denoted "T"("n"), is related to "T"("n") by the formula where "S"("n","k") denotes the Stirling number of the second kind. Finite topological space In mathematics, a finite topological space is a topological space
Finite topological space
956805
≥ 2. Lemma 2. For any positive integers "n" and "m", and any 0 ≤ x ≤ 1, In other words, "T"("x") is the composition of "T"("x") and "T"("x"). Proof. The proof of this lemma is not difficult, but we need to be slightly careful with the endpoint "x" = 1. For this point the lemma is clearly true, since So let us assume that 0 ≤ "x" < 1. In this case, so "T"("T"("x")) is given by Therefore, what we really need to show is that To do this we observe that {"nx"} = "nx" − "k", where "k"
Proofs of Fermat's little theorem
18917282
walkers is let into the prison courtyard, resulting in the deaths of T-Dog and Lori. When the prison's sirens sound off, Oscar explains that the back-up generators are powering the alarms, and takes Rick to shut them down. Andrew, who survived and is revealed to have let the walkers loose and turned on the alarms, attacks Rick in the generator room. Oscar kills Andrew, and Oscar and Axel are then allowed to stay with the others. Axel and Oscar helps dig graves for those who died during the walker attack. Axel volunteers to go to Woodbury, but stays behind to
The Prisoners (The Walking Dead)
3360836
bases formula_147 are generated by kernel formula_148, i.e., solution to Do the expansion: where formula_151, then under H and formula_153 under K. Let formula_154, we have Hence, the log-LR is given by and the optimum detector is Define then formula_164 Since k(t) is the solution to If "N"("t")is wide-sense stationary, which is known as the Wiener–Hopf equation. The equation can be solved by taking fourier transform, but not practically realizable since infinite spectrum needs spatial factorization. A special case which is easy to calculate "k"("t") is white Gaussian noise. The corresponding impulse response is "h"("t") = "k"("T" − "t") =
Karhunen–Loève theorem
13361115
For each "t" in "T", let "L"("t") be the "m" × "n" matrix of elements of "X" whose "i" - th row is and let "R"("t") be the "m" × "n" matrix of elements of "X", the elements of whose "j" - th column are According to the generalised test (due to Bednarek), that the property to be verified holds if and only if "L"("t") = "R"("t") for all "t" in "T". When "X" = "T", Bednarek's test reduces to Light's test. There is a randomized algorithm by Rajagopalan and Schulman to test associativity in time proportional to the input
Light's associativity test
10382555
the finish thus: "Come on, Dale! Go, buddy, go! All right, come on! I know he's got it to the floorboard; he can't do anymore! Come on! Take 'er to the inside! Don't let 'em get on the inside of you comin' around this turn! Here he comes, Earnhardt; it's the "Dale and Dale Show" as we come off Turn 4! You know who I'm pulling for, it's Dale Jarrett. Bring her to the inside, Dale! Don't let him get down there! He's gonna make it! Dale Jarrett's gonna win the Daytona 500!!!" The next weekend at Rockingham, Ned reportedly
1993 Daytona 500
203458
have the same physical properties, the "n"'s run over the same range of values. Let "ε"("n") denote the energy of a particle in state "n". As the particles do not interact, the total energy of the system is the sum of the single-particle energies. The partition function of the system is where "k" is Boltzmann's constant and "T" is the temperature. This expression can be factored to obtain where If the particles are identical, this equation is incorrect. Consider a state of the system, described by the single particle states ["n", ..., "n"]. In the equation for "Z", every possible
Identical particles
16022914
it received sufficient excitatory input (beyond the threshold) and not too much of inhibitory input within a certain period. The formal model of neuron makes further simplifying assumptions. An "n"-input neuron is modeled by a "linear threshold function" formula_13 as follows : For formula_14 where n is the number of inputs, let formula_15 be the output at time "t": formula_16, and let formula_17 be the "i"-th input at time "t": formula_18. Let formula_19 be the weight of the "i"-th input and let formula_20 be the threshold. The "weighted sum" of the inputs at time "t" is defined by formula_21 The
Sparse distributed memory
16367825
should be made in the text of the book, some copies of which have already been printed. M.N.Semyonov, Polyakov's relative and associate at the Scorpion, wrote the latter on May 17: "Brother Sergey, things with "Let Us Be Like the Sun" as they stand now, are appalling. I've seen Zverev today and he told me: 'When we met for the first time I told you some pornographic poems would have to go, but now, another Committee member has read it, and he found many poems there to be sacrilegious, which makes the matter more serious." Twenty years later Balmont decided
Let Us Be Like the Sun
6140709
all let down that that album didn’t do what we thought it would do. It was a big let down for all of us." In May 2007, the band quietly entered an indefinite hiatus upon the completion of touring in support of the album release. Later in the year, Patrick confirmed that he had returned to working on the fourth Filter album, and publicly announced that Army of Anyone was on hiatus. Patrick went on to record and release three new Filter albums, 2008's "Anthems for the Damned", 2010s "The Trouble with Angels", and 2013's "The Sun Comes Out Tonight".
Army of Anyone
16435307
with a preprocessing algorithm of complexity O("n" log "n"). The preprocessing time is improved to O("n") by an application of the Method of Four Russians. Level ancestor problem In graph theory and theoretical computer science, the level ancestor problem is the problem of preprocessing a given rooted tree "T" into a data structure that can determine the ancestor of a given node at a given distance from the root of the tree. More precisely, let "T" be a rooted tree with "n" nodes, and let "v" be an arbitrary node of "T". The level ancestor query LA("v","d") requests the ancestor
Level ancestor problem
19677270
Thomas Arthur Bisson Thomas Arthur Bisson, who wrote as T. A. Bisson (New York City, 1900-1979) was an American political writer, journalist, and government official who specialized in East Asian politics and economics. In the 1920s and 1930s, he worked for the Foreign Policy Association and the Institute for Pacific Relations and wrote sympathetically about the Communist Party of China. He served in the American government during World War II and then was an officer in the Occupation of Japan. He taught at University of California, Berkeley in the early 1950s but was let go after he came under criticism
Thomas Arthur Bisson
13171788
That Evening Sun (film) That Evening Sun is a 2009 film based on a 2002 short story "I Hate to See That Evening Sun Go Down" by William Gay. The movie, produced by Dogwood Entertainment, stars Hal Holbrook as Abner Meecham and is directed by Scott Teems who also wrote the screenplay. "That Evening Sun" premiered in March 2009 at South By Southwest, where it received the Audience Award for Narrative Feature and a special Jury Prize for Ensemble Cast. Joe Leydon of "Variety" hailed it as "an exceptionally fine example of regional indie filmmaking," and praised Holbrook's performance as
That Evening Sun (film)
19149322
Consider an array of "N" sensors that receive one desired and "M" undesired broadband interferences. Let the measurement of "n" sensor be modeled by the expression: where n=1,2...,N; m=0,1...,M; s(t) are signals travelling across the array, and ŋ(t) represents zero-mean white random noise at the "n" sensor, uncorellated from sensor to sensor. The parameters a and T are amplitude gain and time delays of the signal s(t) when received at "n" sensor. Without loss of generality, we shall assume that s(t) is the desired signal and s(t),s(t)...,s(t) are the undesired interferences. Additionally we shall assume that T=0, and a =1.
Velocity filter
771124
dirty little war". "Don't Put It Down" satirizes the unexamined patriotism of people who are literally "crazy" for the American flag. "Be In (Hare Krishna)" praises the peace movement and events like the San Francisco and Central Park Be-Ins. Throughout the show, the tribe chants popular protest slogans like "What do we want? Peace! – When do we want it? Now!" and "Do not enter the induction center". The upbeat song, "Let the Sun Shine In", is a call to action, to reject the darkness of war and change the world for the better. "Hair" also aims its satire at
Hair (musical)
10935451
I Can't Let Go "I Can't Let Go" is a song co-written by Al Gorgoni and Chip Taylor, who also wrote "Wild Thing". "I Can't Let Go" was originally recorded by blue-eyed soul singer Evie Sands' on George Goldner's Blue Cat label, which was popular in New York City in 1965. The song became popular in 1966 for the group The Hollies, who charted at number two in the UK Singles Chart with their version. Linda Ronstadt covered the song in 1980 and had a number 31 hit on the US "Billboard" Hot 100 chart. "I Can't Let Go" is
I Can't Let Go
11185504
officially announced a comeback, therefore meaning that N-Dubz disbanded in 2011. N-Dubz had been involved in much media criticism and publicised controversy mainly to do with Dappy. Since early 2010 Dappy and Fazer have both been struggling to secure U.S. visas due to their past convictions. On 31 January 2009 Dappy and Fazer were escorted from a BA flight from Edinburgh to London by police after it touched down, after allegedly threatening other passengers. A source told "The Sun" "They were swearing at kids on the plane, being foul and threatening passengers. Cabin crew called ahead to the police, who
N-Dubz
4826480
the primes (for "b" in ). Cyclic numbers can be constructed by the following procedure: Let "b" be the number base (10 for decimal)<br> Let "p" be a prime that does not divide "b".<br> Let "t" = 0.<br> Let "r" = 1.<br> Let "n" = 0.<br> loop: if "t" = "p" − 1 then "n" is a cyclic number. This procedure works by computing the digits of 1 /"p" in base "b", by long division. "r" is the remainder at each step, and "d" is the digit produced. The step serves simply to collect the digits. For computers not capable
Cyclic number
16439200
contain vertices with ranks from interval [R, 2 − 1]. We can make two observations about the buckets. Let "F" represent the list of "find" operations performed, and let Then the total cost of "m" finds is "T" = "T" + "T" + "T" Since each find operation makes exactly one traversal that leads to a root, we have "T" = "O"("m"). Also, from the bound above on the number of buckets, we have "T" = "O"("m"log"n"). For T, suppose we are traversing from "u" to "v", where "u" and "v" have rank in the bucket ["B", 2 − 1].
Proof of O(log*n) time complexity of union–find
8446714
may go" "I will let you down" "But this lullaby plays on..." Note: When Truth Squad does a cover of "This Lullaby", Dexter sings the 6th line as ""Even if I let you down" "instead. This Lullaby This Lullaby (2002) is a young adult novel written by Sarah Dessen. Remy is an eighteen-year-old who is about to leave for college. Her father, a musician, wrote his one and only hit song the day she was born. The song, called "This Lullaby," became extremely popular, but he died soon after its release. Now, Remy's mother is getting married for the fifth
This Lullaby
6597428
and lessons in the Old Testament that the New Testament contradicts. For example, Elisha had children eaten by bears; Jesus said, ""Let the little children come to me"". Joshua had the sun stopped in order to prolong the slaughter of his enemies. Paul quoted Jesus as commanding ""Let not the sun go down on your wrath""(Eph 4:26). In the Old Testament, divorce was permitted and so was polygamy; in the New Testament, neither is allowed. Moses enforced the Jewish Sabbath and Jewish Law; Jesus has de-institutionalised both. Even within the Old Testament, Marcion found contradictions. For example, God commanded that
Internal consistency of the Bible
12301503
DC area organizations such as CUE (Children's Urban Arts Ensemble), Bren-Carr Dancers and The T-N-T Poppers. Hammond is also an award-winning playwright. At the age of 17, he wrote a play entitled "Buddies" that listed in the finalist division of the Young Playwrights Inc. Young Playwrights Festival at the Public Theater. This play was performed Off-Broadway and starred Denzel Washington and Anna Maria Horsford, both of whom were lesser known actors at the time. Hammond started the online magazine Take Me Out To The Go-Go in 1996. In addition to the magazine being a source of information on go-go shows,
Kevin Kato Hammond
3996363
Inner model In set theory, a branch of mathematical logic, an inner model for a theory "T" is a substructure of a model "M" of a set theory that is both a model for "T" and contains all the ordinals of "M". Let formula_1 be the language of set theory. Let "S" be a particular set theory, for example the ZFC axioms and let "T" (possibly the same as "S") also be a theory in formula_2. If "M" is a model for "S", and "N" is a substructure of "M" such that then we say that "N" is an inner
Inner model
13761378
If the offering of pudding is ready, take it. Go to the place where free food is served in the temple; and sit along with others. Let the Government be informed of what you intend to do. One should not fight shy of laying down one's life. Those who think another's touch pollutes him should not be left unmolested in their so called cleanliness. That is my view…. Give publicity to all these in the papers. Let people know that I subscribe to their views. But let there be no violence or show of force. Don't be perturbed by coercion".
Vaikom Satyagraha
3236910
such that "xz = zy". Then it follows that "x* z = z y*". Fuglede's theorem In mathematics, Fuglede's theorem is a result in operator theory, named after Bent Fuglede. Theorem (Fuglede) Let "T" and "N" be bounded operators on a complex Hilbert space with "N" being normal. If "TN = NT", then "TN*" = "N*T", where "N*" denotes the adjoint of "N". Normality of "N" is necessary, as is seen by taking "T"="N". When "T" is self-adjoint, the claim is trivial regardless of whether "N" is normal: Tentative Proof: If the underlying Hilbert space is finite-dimensional, the spectral theorem
Fuglede's theorem
16367020
called the song "first-rate, a tough-talking put-down with a honking horn bridge and a guitar hook that is reminiscent of the Beatles' 'If I Needed Someone.'" Robbins also wrote for "Trouser Press" that "Let Go" gets "Lap of Luxury" off to a "fine start." Music writers Mike Hayes and Ken Sharp compare the song's riff to another Beatles' song, saying that "Let Go"'s riff combines that of "Day Tripper" with the riff of Cheap Trick's own song "I Don't Love Here Anymore." Hayes and Sharp credit the song with "a catchy chorus, understated piano work and an unexpected sax break."
Let Go (Cheap Trick song)
3236903
Fuglede's theorem In mathematics, Fuglede's theorem is a result in operator theory, named after Bent Fuglede. Theorem (Fuglede) Let "T" and "N" be bounded operators on a complex Hilbert space with "N" being normal. If "TN = NT", then "TN*" = "N*T", where "N*" denotes the adjoint of "N". Normality of "N" is necessary, as is seen by taking "T"="N". When "T" is self-adjoint, the claim is trivial regardless of whether "N" is normal: Tentative Proof: If the underlying Hilbert space is finite-dimensional, the spectral theorem says that "N" is of the form where "P" are pairwise orthogonal projections. One
Fuglede's theorem
2840140
a triangulated manifold, there is a corresponding dual polyhedral decomposition. The dual polyhedral decomposition is a cell decomposition of the manifold such that the "k"-cells of the dual polyhedral decomposition are in bijective correspondence with the ("n" − "k")-cells of the triangulation, generalising the notion of dual polyhedra. Precisely, let "T" be a triangulation of an "n"-manifold "M". Let "S" be a simplex of "T". We denote the dual cell (to be defined precisely) corresponding to "S" by "DS". Let formula_13 be a top-dimensional simplex of "T" containing "S". So we can think of "S" as a subset of the
Poincaré duality
14859936
Let Me Go, Rock 'n' Roll "Let Me Go, Rock 'n' Roll" is a song by the American hard rock band Kiss, released in 1974. It was released as the only single from their second album "Hotter Than Hell". Even though the song failed to chart, it is a staple in their live concerts. The B-side was the album title track, "Hotter Than Hell". Gene Simmons penned the lyrics during a lunch break at his day job, and the song conveys romantic excitement: "'Cause baby's got the feeling/Baby wants a show/Baby won't you tell me/Baby rock & roll, yeah, yeah!".
Let Me Go, Rock 'n' Roll
14859938
by "Black Diamond" and later "Rock and Roll All Nite". It has remained a concert staple and has appeared on many of the band's compilations. The original song title was "Baby, Let Me Go" but was soon changed by producer Kenny Kerner to "Rock 'n' Roll" before finally being titled "Let Me Go, Rock 'n' Roll". When performed live, the song has often been extended to nearly five minutes due to guitar and bass solos. It was regularly played until the 1977 Love Gun Tour, where it was excluded, but came back for the Alive II and Dynasty tours. Except
Let Me Go, Rock 'n' Roll
7560106
constant, this is a cfloat (constant float) ! if and case can have values and be used in expressions let no.of.lives := if animal = "cat" then 9 else 1 ! Sieve of Eratosthenes write "Find primes up to n = ?" let n = readi ! constant values can be set during the program run let p = vector 2::n of true ! vector of bool with bounds 2 to n for i = 2 to truncate(sqrt(n)) do ! for indexes are constants so they use = rather than := for i = 2 to n do ! structure
S-algol
17688836
11 on Billboard's Top Rock Tracks chart. When Jim Vallance was asked about the track, he recalled that they wrote the song during January 1984 and that: "Adams and I originally wrote "Let Me Down Easy" for Stevie Nicks, but I don't know if she ever heard the song. Regardless, I thought Roger did a superb job." Let Me Down Easy (Roger Daltrey song) "'Let Me Down Easy'" is a song by Roger Daltrey, who at the time was the former lead singer of The Who. The song was written by Bryan Adams and Jim Vallance and included on Daltrey's
Let Me Down Easy (Roger Daltrey song)
10473031
the country charts. The album also produced his highest-charting single in "Slow Down" at No. 46, followed by "Baby Ain't Rockin' Me Right" at No. 62. He also co-wrote Aaron Tippin's late-1998 single "For You I Will." Also in 1998, Nesler married country music artist Jennifer Hanson. Although he exited Elektra in 1999, Nesler continued to write for Byrd, who released "Take Me with You When You Go" (which Hanson co-wrote) and "Just Let Me Be in Love" in 2000 and 2002 respectively. George Strait recorded two of his songs: "Go On"; and "Living and Living Well" which was a
Mark Nesler
18831919
ar ní bhaoí aon-tír díbh-sidhe nách t-tuccsat comhtha dó la taobh a chiosa cosanta d'íoc go h-umhal fris. Bá h-é an fer-so tra ro thabhaigh cartacha nuaa ar Inis Eocchain ar Cenel Moain, & ar Feraibh Manach (ar an c-cethrar tighernadha bátar réna linn i t-Tir Eoccain) do dhaingniucchadh ar na sen-chartachaibh baí accá shinnsearaibh ar na tíribh-sin ionnas co m-baoí a t-tighernas & a n-eirge amach co socair siothchanta aicce. Nír bhó machtnadh son óir ní facus a bhuaidh 'gá biodhbhaibh, & ní thard troicch teichidh ré n-uathadh ná ré sochaidhe, fer coisccthi dóighniomh & droch-bhés, fear mudhaighthi &
Hugh Duff O'Donnell
12686928
Using the fact that for any N there exists a set of formula_18 functions {0...,N-1} formula_19 {0...,N-1} such that for any distinct formula_20 {0...,N-1} the image under f, where f is chosen at random from S, is exactly the uniform distribution over tuples of d elements of {0...,N-1}. Let formula_21 be drawn from the Haar measure. Let formula_22 be the probability distribution of formula_23 and let formula_24. Finally let formula_25 be drawn from P. If we define formula_26 with probability formula_27 and formula_28 with probability formula_1 then: formula_30 for odd j and formula_31 for even j. Using this and Gaussian
Quantum t-design
2143917
P"-Wall–Sun–Sun primes, and if "P" = 1, they are called Fibonacci-Wieferich primes, and if "P" = 2, they are called Pell–Wieferich primes. For example, 241 is a Wieferich prime when "P" = 3, so it is a 3-Fibonacci-Wieferich prime or 3-Wall–Sun–Sun prime. In fact, 3 is an "n"-Fibonacci-Wieferich prime if and only if "n" congruent to 0, 4, or 5 (mod 9), like the traditional Wieferich primes, 3 is a base "n" Wieferich prime if and only if "n" congruent to 1 or 8 (mod 9). Let "K" be a global field, i.e. a number field or a function field
Wieferich prime
6144344
are in one-to-one correspondence with the homotopy classes of maps from "M" to CP. One also has the relation that that is, BU(1) is the infinite-dimensional projective unitary group. See that article for additional discussion and properties. For a torus "T", which is abstractly isomorphic to U(1) × ... × U(1), but need not have a chosen identification, one writes B"T". The topological K-theory "K"(B"T") is given by numerical polynomials; more details below. Let "F"(C) be the space of orthonormal families of "n" vectors in C and let "G"(C) be the Grassmannian of "n"-dimensional subvector spaces of C. The total
Classifying space for U(n)
3971576
who had sort of let all glamor go and sexuality go". Kidman said that Glazer instructed her to do small, personal reactions. She found the character to be all-consuming so that she could not separate herself from the role. To research for the role, Kidman spoke to two friends who had lost their fathers and they talked about how it still affected them years after. Addica and Glazer often wrote scenes the day before they were shot, giving them to the actors on the actual day they were shooting. "Birth" debuted at the 2004 Venice Film Festival where its first
Birth (film)
10935453
Love". Released as the disc's third single, it was produced by Peter Asher and was issued on Asylum Records. Ronstadt's cover of "I Can't Let Go" reached number 27 on the Cash Box Top 100 and number 31 on the "Billboard" Hot 100 chart in the summer of 1980. I Can't Let Go "I Can't Let Go" is a song co-written by Al Gorgoni and Chip Taylor, who also wrote "Wild Thing". "I Can't Let Go" was originally recorded by blue-eyed soul singer Evie Sands' on George Goldner's Blue Cat label, which was popular in New York City in 1965.
I Can't Let Go
6398057
Lord came down to see the city and the tower." Rabbi Johanan taught that God says, "let us," in the plural in (and elsewhere) to show that God does nothing without first consulting God's Heavenly Court. Rabbi Simeon told that God called to the 70 angels who surround the throne of God's glory and said, "Let us descend and let us confuse the 70 nations (that made up the world) and the 70 languages." Rabbi Simeon deduced this from where God said, "Let "us" go down," not ""I" will go down." Rabbi Simeon taught that "When the Most High gave
Noach (parsha)
13364165
ventilation shafts and beneath the floors. Hessian sacks containing asbestos fibre were still present, and the yard was filled with 'a few hundred tonnes' of blue asbestos waste mixed with soil. R. D. Lunt, T&N's Safety and Environment manager, wrote of the factory basement: "Every nook and cranny has asbestos fibre in it". T&N contributed £15,000 towards the clean-up of the factory, and claimed they were doing so out of "a moral, not a legal responsibility" to do so. The surrounding houses and buildings were not included in this operation, and Leeds City Council and T&N "agreed to keep the
Armley asbestos disaster
2312269
is compact, nonempty, and a union of flow lines. If formula_84 there is a value "t"* ∈ R such that Φ("z") ∈ "N" and it follows that Since "N" is compact and formula_50 is transverse to "N", it follows that the set {"t" > 0 | Φ("y") ∈ N} is a monotonically increasing sequence formula_87 that diverges to infinity. As "y" ∈ "N" varies, let τ("y") = τ("y"), defining in this way a positive function τ ∈ "C"("N") (the first return time) such that, for arbitrary "y" ∈ "N", Φ("y") ∉ "N", 0 < "t" < τ("y"), and Φ("y") ∈
Foliation
2143932
prime. As a result, prior to Andrew Wiles' proof of Fermat's last theorem, the search for Wall–Sun–Sun primes was also the search for a potential counterexample to this centuries-old conjecture. A tribonacci–Wieferich prime is a prime "p" satisfying , where "h" is the least positive integer satisfying ["T","T","T"] ≡ ["T", "T", "T"] (mod "m") and "T" denotes the "n"-th tribonacci number. No tribonacci–Wieferich prime exists below 10. A Pell–Wieferich prime is a prime "p" satisfying "p" divides "P", when "p" congruent to 1 or 7 (mod 8), or "p" divides "P", when "p" congruent to 3 or 5 (mod 8),
Wall–Sun–Sun prime
12679987
I lived with passed in 2006. We were actually beefing because he forced me out the house when I didn’t have another situation set up, so I was bitter. I never apologized for it, and that kills me. That’s why I wrote "Day 'n' Nite." If he wasn’t there to let me stay with him those first few months, there would be no Kid Cudi. It fucked me up watching him go, but it was like, "I have to fulfill this destiny now for sure." Things were moving but they weren’t solidified yet. I had "Day ’n’ Nite," we were
Day 'n' Nite
571621
such that "m" > "n": Let ε > 0 be arbitrary, since "q" ∈ [0, 1), we can find a large "N" ∈ N so that Therefore, by choosing "m" and "n" greater than "N" we may write: This proves that the sequence {"x"} is Cauchy. By completeness of ("X","d"), the sequence has a limit "x*" ∈ "X". Furthermore, "x*" must be a fixed point of "T": As a contraction mapping, "T" is continuous, so bringing the limit inside "T" was justified. Lastly, "T" cannot have more than one fixed point in ("X","d"), since any pair of distinct fixed points
Banach fixed-point theorem
18921615
t, w(G) ≤ t ≤ W(G). (1) w ("K") = m + n − gcd(m, n), (2) W ("K") = m + n − 1, (3) if w ("K") ≤ t ≤ W ("K"), then "K" has an interval t-coloring. w (G["K"]) ≤ (w(G) + 1)(m + n) − 1 and W (G["K"]) ≥ (W(G) + 1)(m + n) − 1. Interval edge-colorings of outerplanar graphs were investigated by Giaro and Kubale and proved all the outer planar bipartite graphs are interval colorable. Proof: Let "c" be an interval coloring of 'G' such that "e=xy" gets the smallest label among
Interval edge coloring
2947061
"N" be the standard structure for "L". Thus ("L", "N") is the "interpreted first-order language of arithmetic." Each sentence "x" in "L" has a Gödel number "g"("x"). Let "T" denote the set of "L"-sentences true in "N", and "T"* the set of Gödel numbers of the sentences in "T". The following theorem answers the question: Can "T"* be defined by a formula of first-order arithmetic? "Tarski's undefinability theorem": There is no "L"-formula "True"("n") that defines "T"*. That is, there is no "L"-formula "True"("n") such that for every "L"-formula "A", "True"("g"("A")) ↔ "A" holds. Informally, the theorem says that given some
Tarski's undefinability theorem
9310819
Define the sphere formula_16 of radius "t" around a word formula_17 of length "n" as the set of all the words at distance "t" or less from formula_18, in other words, A code formula_20 of length "n" is said to be "t"-asymmetric-error-correcting if for any two codewords formula_21, one has formula_22. Denote by formula_23 the maximum number of codewords in a "t"-asymmetric-error-correcting code of length "n". The Varshamov bound. For "n"≥1 and "t"≥1, The constant-weight code bound. For "n > 2t ≥ 2", let the sequence "B, B, ..., B" be defined as Then formula_27 Z-channel (information theory) A Z-channel
Z-channel (information theory)
16414850
who want to unionize and threaten to derail his plans. Glazer had written different versions of "Magic City" for years. He originally wrote and sold it to CBS, who eventually let it go to the Starz network. "CBS was really nice to me and generous in letting it go to Starz. It’s not a procedural, it’s not a franchise. It needs to be allowed to do the sexuality and violence and the things that were part of Miami Beach in the 1959," he said. Glazer was born and raised in Miami Beach and grew up in hotels, which he bases
The Year of the Fin
8897446
"Let It Go" single cover was taken from that shoot. Other songs filmed that day were "High 'n' Dry (Saturday Night)" and "Bringin' On the Heartbreak". “Let It Go” is the second most-played song from "High'n'Dry" after “Bringing' On the Heartbreak”. The song was played consistently on the tours supporting its parent album, "Pyromania" and "Hysteria", but was then discarded completely until 1999. However since then “Let It Go” has been quite frequently reintroduced into setlists. Let It Go (Def Leppard song) "Let it Go" is a 1981 song by British rock band Def Leppard from their multi-platinum album "High
Let It Go (Def Leppard song)