* Spec k, the spectrum of the polynomial ring over a field k, which is also denoted, the affine line: the polynomial ring is known to be a principal ideal domain and the irreducible polynomials are the prime elements of k. If k is algebraically closed, for example the field of complex numbers, a non-constant polynomial is irreducible if and only if it is linear, of the form t − a, for some element a of k. So, the spectrum consists of one closed point for every element a of k and a generic point, corresponding to the zero ideal.

So, λ is in the spectrum of T if and only if T − λ is either not one-to-one or not onto.

So λ does not lie in spectrum of T < sub > h </ sub >.

So, we have shown for m not equal to zero, the unitary irreps are classified by m, E < sub > 0 </ sub > and a spin s. Looking at the spectrum of E, we find that if m, the mass, is negative, the spectrum of E is not bounded from below.

So Musnad Ahmad, for example, has over 30, 000 hadiths — but this count includes texts that are repeated in order to record slight variations within the text or within the chains of narrations.

So the extension of the word " dog " is the set of all ( past, present and future ) dogs in the world: the set includes Fido, Rover, Lassie, Rex, and so on.

In order to meet Norman's hospital bills, in November 2002 Solid Rock Records began releasing the Essential Series on CD-R, a set of seven Norman albums, with 142 songs ( including 16 previously unreleased songs ), which comprised: Instigator, which included rough mix versions of two previously unreleased songs, " Butterfly " and " Kulderachna ", both removed from 1973's So Long Ago the Garden ; Agitator, which included three unreleased bonus tracks, " Sweet Silver Angels ", " God, Part 2 ", and " People In My Past "; Liberator, which included songs that were aimed at " liberating Christians who felt trapped inside the church and also providing a cultural doorway to allow those who felt dismissed and isolated by Christianity to find their way into fellowship with Christ regardless of the church's response toward them "; Collaborator, which featured songs representing " the combined efforts of Charles and Larry from lyrics and melodies to arrangements and production ", including three unreleased songs: " Perfect World ", " Don't Wanna Be Like You ", and " Jesus Is God ", recorded about 2000 ; Emancipator, included two unreleased songs of Norman singing with Randy Stonehill: a Christian version of the folk song " He Was a Friend of Mine ", which had been popularized by The Byrds and Bob Dylan, which was re-titled " He is a Friend of Mine ", and " I Love You ", the song Stonehill and Norman co-wrote in 1971 for Stonehill's Born Twice album ; Infiltrator, which sees love as " the most powerful infiltrator in the world ", is a collection of Norman's love songs, and includes two new releases: a cover of David Noble's " Waves of Grace ", and " Stranger, Won't You Change "; and Survivor, included the full 8-minute version of " Dark Passage ", an unreleased third verse of " Baby Out of Wedlock ", and " One Star Remains ", which is Judee Sill's " My Man On Love " from her 1971 eponymous debut album.

Source music in portions of the film includes instrumental versions of " Again " by Lionel Newman and Dorcas Cochran, " You Make Me Feel So Young " by Josef Myrow and Mack Gordon, and " The More I See You " by Harry Warren and Mack Gordon.

So the term " gender identity " is broader than the sex of the individual, as determined by examination of the external genitalia, but also includes the sex or gender one identifies with mentally.

So feminist economics calls for a more comprehensive index which includes participation in unpaid work.

His hot sauce includes the phrase: “ So hot you ’ ll need two assholes .” In a 2010 interview, Anthony said, " I thought was kind of witty.

So it is important to bear in mind that the sense of ‘ virtue ’ operative in ancient ethics is not exclusively moral and includes more than states such as wisdom, courage and compassion.

The Sep Noi, capable of playing popular tunes, includes two bowed string instruments, the So U and the So I, also known to the Indians.

This song includes lyrics such as " So .. turn on your charm, Sammy / Coil yourself around my arm, Sammy / Sammy the Snake, I'll stake a claim on you.

On the Board of NeWest Press ( Edmonton ) since 1981, she is the founder and editor of The Writer as Critic series, which includes, among others, Douglas Barbour's Lyric / Anti-lyric: Essays on Contemporary Poetry, Frank Davey's Canadian Literary Power, Daphne Marlatt's Readings from the Labyrinth, Fred Wah's Faking It: Poetics and Hybridity, Phyllis Webb's Nothing But Brush Strokes, and, most recently, Di Brandt's So This Is the World & Here I Am in It.

This includes the newly signed Tooth & Nail Records band Icon For Hire, based out of Decatur, Illinois, and the popular Champaign native So Long Forgotten.

So, the theory of Lie groupoids includes the theory of Lie groups.

Her backlist includes Everything in the World, The Fun House, It's So Magic, Naked Ladies Naked Ladies Naked Ladies ( 1984 ), Shake a Tail Feather, Down the Street, Big Ideas ( 1983 ), Come Over Come Over, Girls and Boys ( 1981 ), and My Perfect Life.

The film's soundtrack includes songs by World Party, Squeeze, The Knack (" My Sharona " featured prominently in one scene from the film ), Juliana Hatfield, Social Distortion, and two contributions from Crowded House (" Locked Out " and " Something So Strong ") in addition to the runaway hit " Stay ( I Missed You )" by Lisa Loeb, which earned Loeb the distinction of being the only artist to top the Hot 100 before being signed to any record label.

The 1928 book So Disdained by Nevil Shute — a novel based on this author's deep interest in and thorough knowledge of aviation — includes a monologue by a veteran pilot, preserving the atmosphere of these pioneering times: " We used to fly on the Paris route, from Hounslow to Le Bourget and get through as best as you could.

So if a borrower makes $ 2600 / month they would be pre-qualified at a total debt of $ 936 ( this includes any monthly payments, including car & credit card min.

* Carly Simon's song " You're So Vain " includes the lyric " You had one eye in the mirror as you watched yourself gavotte ".

So, the term includes those who work for government ( e. g. bureaucrats ) and major companies ( e. g. those listed in Nikkei 225 ).

So, a typical curriculum includes communications, numeracy, information technology, and social skills units, with specific, specialized teaching of each.

So, it would not make sense to say that eliminating all light trucks ( which includes minivans, SUVs and pickups ) would eliminate incompatibility because there would still be smaller vehicles crashing into larger vehicles.

The album features the hit single " So Alive ," and includes guest appearances by Adams's then girlfriend, actress Parker Posey, former Hole and Smashing Pumpkins bass player Melissa Auf der Maur, and Green Day's Billie Joe Armstrong.

#* includes " So Long Ago, So Clear " – 4: 58

So when textbooks, like that of Baker set out drawings of the ' Ptolemaic System ', complete with earth in the center and the seven heavenly bodies epicyclically arranged on their several deferents, we have nothing but a misleading 20th-century idea of what never existed historically.

So this proxy situation has set up at least a partial barrier between the medium's ESP and the absent sitter's mind.

So Mel Chandler set out to sell him on the spirit of Garryowen, just as he himself had been sold a short time before.

So long as an insurer maintains adequate funds set aside for anticipated losses ( called reserves ), the remaining margin is an insurer's profit.

So, is a set of linearly independent vectors in the column space of and, hence, the dimension of the column space of ( i. e. the column rank of ) must be at least as big as.

So for example, for these authors, it is true of every set A that A ⊂ A.

So, for example, the completeness and comprehensiveness of the underlying set of concepts is a critical factor in judging the validity and usefulness of a coherent system.

So they set a trap for him.

So the 6 – 2 formation is actually a 4 – 2 system, but the back-row setter penetrates to set.

So the extension of " before " is the set of all ( ordered ) pairs of objects such that the first one is before the second one.

:" So, I said: ' OK, let's go on the set.

' So I went on the set ... The day after I went back to see my mum and told her that I was going to make films and stop school and ' bye.

The British author Rudyard Kipling popularized the Limpopo in his short story " The Elephant's Child ", in the Just So Stories, in which he described " the great grey-green, greasy Limpopo River, all set about with fever-trees ," where the " Bi-Coloured Python Rock-Snake " dwells.

So uncustomary was the French Aesthetic viewpoint that, when Pierrot made an appearance in an eponymous pantomime ( 1893 ) by Alfred Thompson, set to music by the American composer Laura Sedgwick Collins, The New York Times covered it as an event, even though it was only a student production.

So in 1983, he set up a spinoff company, ETA Systems, whose design goal was a machine processing data at 10 GFLOPs, about 40 times the speed of the Cray-1.

So he set the group five rules:

So, when an agent satisfices, then she will choose from a larger set of actions than the agent who optimizes.

So the item set 0 ( without lookaheads ) will look like this:

So popular was his work that the second item of merchandise ever licensed by Playboy ( after cufflinks with the famous rabbit-head logo ) was a cocktail-napkin set, " Females by Cole ", featuring his cartoons.

So just to divert his attention he told him to set his own house in order first, because his sister and her husband had converted to Islam.

Never So Good is a four-act play by Howard Brenton, a portrait of Harold Macmillan set against a back-drop of fading Empire, two world wars, the Suez crisis, adultery and Tory politics at the Ritz.

So, in special relativity there can be no physical basis for picking out a unique set of events that are all happening simultaneously in " the present ".

So, for instance, many books may be set in conflicting fictional versions of Victorian London, but all the stories of Sherlock Holmes are set in the same Victorian London.