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note and contained
To see this, note that if L is any algebraic extension of K, then the algebraic closure of L is also an algebraic closure of K, and so L is contained within the algebraic closure of K.
" The ' most comprehensive explanation ' of the origin of the Balfour Declaration the Foreign Office was able to provide was contained in a small ' unofficial ' note of Jan 1923 affirming that: little is known of how the policy represented by the Declaration was first given form.
Schaffner, assuming the note contained a lonely businessman's phone number, dropped it unopened into her purse.
The former was acceptable, because it was viewed as merely taking note of the powers in nature that were created by God, for instance the Anglo-Saxon leechbooks which contained simple spells designed for medicinal purposes were tolerated.
To indicate how seriously Marx took research, it is interesting to note that when he died, his estate contained several cubic metres of Russian statistical publications ( it was, as the old Marx observed, in Russia that his ideas gained most influence ).
While the cover of the magazine itself contends it was a catalog, most historians note that it contained articles, features, and plotlines, qualifying it as a magazine.
In 1934, a copy of the poem known as the Crewe Manuscript was discovered and it contained a note about the origin of Kubla Khan.
In their paper honoring the 100th anniversary of his birth, Ciesielski and Rassias give more insight, and note that, in March 2009, the Mathematical Reviews database contained an " amazing " 697 papers with the name " Ulam " in their titles.
This work concluded that certain notational styles contained two distinct signs for any single note and that this difference must be related to rhythm rather than pitch.
Of particular note are his early Atlantic albums, such as The Clown, Tijuana Moods, and most notably Pithecanthropus Erectus, the title song of which contained one section that was freely improvised in a style unrelated to the song's melody or chordal structure.
When Peter opened the box on the roof of his apartment building, it contained a note saying " You have five minutes.
Some of the stories contained a note that was new in German literature and that endeared them particularly to Germans as embodying an ideal as yet unrealized in their own country: they narrate the development of character under the relatively free conditions of little Switzerland, picturing an unbureaucratic civic life and an independence of business initiative that cannot but attract those who are denied these privileges.
Coe's 1979 Columbia album Spectrum VII contained a note stating " Jimmy Buffett doesn't live in Key West anymore ," a lyric from a song from Nothing Sacred.
The note in the purse that was found in the Court Garden contained one spelling error and one grammatical error, both of which were typical for Hauser, who, on his deathbed, kept muttering incoherencies about " writing with pencil ".
Altom's suicide note also contained explicit instructions on how to reform the relationship between students and their supervisors.
A note contained in the book suggested that the game would receive a supplement in 2002 based on characters and events from El-Hazard: The Magnificent World 2, but no such supplement was released.
The 1984 and 1985 toy lines contained several figures of note.
Since Leah was matriarch, Jewish scholars think the text's authors believed the tribe was part of the original Israelite confederation ; however, it is worthy of note that the tribe of Judah was not purely Israelite, but contained a large admixture of non-Israelites, with a number of Kenizzite groups, the Jerahmeelites, and the Kenites, merging into the tribe at various points.
Of particular note is the monumental cenotaph, which contained the heart of Bishop Joris of Egmond ( died 1559 ).
On 6 February 2008, the Holy See's newspaper, L ' Osservatore Romano, published a note by the Vatican Secretariat of State, announcing that, with reference to the dispositions of the Motu Proprio Summorum Pontificum, Pope Benedict XVI had decided to amend the Good Friday prayer for the Jews contained in the Roman Missal of 1962, and decreeing that the amended text " must be used, beginning from the current year, in all celebrations of the Liturgy of Good Friday according to the aforementioned Missale Romanum ".
And if that debt falls into our hands, we will take only the principal contained in the note.
One envelope contained a suicide note to his wife.
These collection started with simple poems, or rather, rhymes, that were humorous but sometimes contained a more serious note ; but later it appeared that Toon Hermans may have tried to create more serious poetry, which was not altogether successful ( and perhaps it was not he, but his publishers, who tried to put this spin on things ).
On March 16, 1932, John Condon received a package by mail that contained a toddler's sleeping suit, which was sent as proof of their claim, and a seventh ransom note.

note and phrases
It was eloquent, vibrating with eloquence "-" There were no practical hints to interrupt the magic current of phrases, unless a kind of note at the foot of the last page, scrawled evidently much later, in an unsteady hand, may be regarded as the exposition of a method.
In it, he concedes that “ there are performers who tremble consistently on each note as if they had the permanent fever ”, condemning the practice, and suggesting instead that vibrato should be used only on sustained notes and at the ends of phrases when used as an ornament.
Almost all quickstep marches consist of four-measure phrases, typical ending with a whole note either creating or resolving melodic tension ( see Progressions ) followed by a pickup note ( see Pickups ).
A regulator uses keys ( five on the tenor and four on both baritone and bass ) to accompany the melody of the chanter ; these keys are arranged in rows to give limited two note " chords ", or, alternatively, single notes for emphasis on phrases or specific notes.
In this melody, each of the first six musical phrases of each stanza of the hymn begins on a successively higher note of the hexachord, corresponding to the tone proposed by Guido of Arezzo, except the last line, Sancte Iohannes, which is an adonius after the three Sapphic hendecasyllables, breaking the ascending pattern.
Additionally supporting his hypothesis that the note was written before the murder, Douglas argued, was its being peppered with what appeared to be phrases borrowed from motion pictures like Ransom ( 1996 ) and Speed ( 1994 ) which, he speculated, inspired the perpetrator.
This first requires the reader to note and understand any special phrases and terms that the author uses.
The Hermit Thrush's song is ethereal and flute-like, consisting of a beginning note, then several descending musical phrases in a minor key, repeated at different pitches.
Finally, he avoids the accidental dhaivatam in Sri ragam, again a note that is present in some very characteristic sancharas ( phrases ) of this ragam.
Instead of wholly free improvisation, many musicians perform alap schematically, for example by way of vistar, where the notes of the raga are introduced one at a time, so that phrases never travel further than one note above or below what has been covered before.
It is the point of resolution in the rhythm where the percussionist's and soloist's phrases culminate: a soloist has to sound an important note of the raga there, and a North Indian classical dance composition must end there.
* Search data: Press Command-F to search for words or phrases within a sticky note
Organists may sometimes indulge in word-painting, using effects such as a deep pedal note on the word thunder, a harsh reed tone for ' darkness ' contrasting with a mixture for ' light ', or ( more frivolously ) applying the Zymbelstern to the phrases round about and fair ground.
: For similar phrases, see Brown note ( disambiguation ).
: For similar phrases, see Brown note ( disambiguation ).
Unlike his usual approach of either keeping note " of whatever my head's singing at the particular moment " or forcing " some nifty phrases " he devised onto the melody, Yorke said that creating " Fake Plastic Trees " was the opposite.
" Dixie " employs a single rhythmic motive ( two sixteenth note pickups followed by a longer note ), which is integrated into long, melodic phrases.

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