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Every and torus
* Every non-split, prime, alternating link that is not a torus link is hyperbolic by a result of William Menasco.

Every and is
Every legislator from Brasstown Bald to Folkston is going to have his every vote subjected to the closest scrutiny as a test of his political allegiances, not his convictions.
Every detail in his interpretation has been beautifully thought out, and of these I would especially cite the delicious laendler touch the pianist brings to the fifth variation ( an obvious indication that he is playing with Viennese musicians ), and the gossamer shading throughout.
Every taxpayer is well aware of the vast size of our annual defense budget and most of our readers also realize that a large portion of these expenditures go for military electronics.
Every single problem touched on thus far is related to good marketing planning.
Every few days, in the early morning, as the work progressed, twenty men would appear to push it ahead and to shift the plank foundation that distributed its weight widely on the Rotunda pavement, supported as it is by ancient brick vaulting.
Every dream, and this is true of a mental image of any type even though it may be readily interpreted into its equivalent of wakeful thought, is a psychic phenomenon for which no explanation is available.
Every man in every one of these houses is a Night Rider.
Every library borrower, or at least those whose taste goes beyond the five-cent fiction rentals, knows what it is to hear the librarian say apologetically, `` I'm sorry, but we don't have that book.
Every community, if it is alive has a spirit, and that spirit is the center of its unity and identity.
The restricted principle " Every partially ordered set has a maximal totally ordered subset " is also equivalent to AC over ZF.
** Every infinite game in which is a Borel subset of Baire space is determined.
Every natural-born citizen of a foreign state who is also an American citizen and every natural-born American citizen who is a citizen of a foreign land owes a double allegiance, one to the United States, and one to his homeland ( in the event of an immigrant becoming a citizen of the US ), or to his adopted land ( in the event of an emigrant natural born citizen of the US becoming a citizen of another nation ).
Every line of written text is a mere reflection of references from any of a multitude of traditions, or, as Barthes puts it, " the text is a tissue of quotations drawn from the innumerable centres of culture "; it is never original.
Every root of a polynomial equation whose coefficients are algebraic numbers is again algebraic.
* Every rectangle R is in M. If the rectangle has length h and breadth k then a ( R ) =
Every year, on the last Sunday in April, there is an ice fishing competition in the frozen estuarine waters of the Anadyr River's mouth.
Every lattice element of the structure is in its proper place, whether it is a single atom or a molecular grouping.

Every and contained
Every subset A of the vector space is contained within a smallest convex set ( called the convex hull of A ), namely the intersection of all convex sets containing A.
* In any ring R, a maximal ideal is an ideal M that is maximal in the set of all proper ideals of R, i. e. M is contained in exactly 2 ideals of R, namely M itself and the entire ring R. Every maximal ideal is in fact prime.
Every judgment contained the reasons behind the decision and the judges assenting ; if there was a dissenting judge, he was allowed to deliver his own judgment, with all judgments read in open court before the agents of the parties to the dispute.
Every edition contained new illustrations by Mark Geyer, the novel's original illustrator.
The argument over the quality of Fitzgerald ’ s translation of the Rubaiyat has, according to Dougan, diverted attention from a fuller understanding of the deeply esoteric message contained in Omar ’ s actual material – " Every line of the Rubaiyat has more meaning than almost anything you could read in Sufi literature ".
The record contained five new studio songs: " Power to the People " which features a music video, " Can't Bring Me Down ," " The Last Song ", " Strange ," and " I Hate Every Bone In Your Body But Mine ," the latter with DeVille on lead vocals for the first time.
Every point of PG ( 3, 2 ) is contained in 7 lines and every line contains three points.
Every block was inscribed with 23 lines of text with 14 characters per line, Therefore, each block, counting both sides, contained a total of 644 characters.
:" Every application by a divorced woman under section 125 … of the Code of Criminal Procedure, 1973, pending before a magistrate on the commencement of this Act shall, notwithstanding anything contained in that code … be disposed of by such magistrate in accordance with the provisions of this Act.
The theme song, " Keep Your Eye on the Sparrow ", was written by Dave Grusin and Morgan Ames ; initially an instrumental, lyrics were added in later seasons that were sung by Sammy Davis, Jr. Every episode of Baretta began with the song, which contained the motto, " Don't do the crime if you can't do the time.
At the peak of its popularity, No Limit became notorious for producing lengthy albums that consisted of up to 20 tracks and featured numerous cameo appearances by other No Limit artists ( Fiend's 1998 release, There's One in Every Family, for instance, contained fifteen ), in addition to the cheap packaging of its CDs in cases that consisted mostly of cardboard stock and a small amount of plastic, as well as spearheading the movement of garish Pen & Pixel-designed album covers.
The oath for senators and members of parliament has stood the same since confederation ; according to Section IX. 128 of the Constitution Act, 1867: " Every member of the Senate and the House of Commons of Canada shall before taking his Seat therein take and subscribe before the Governor General or some Person authorized by him, and every Member of a Legislative Council or Legislative Assembly of any Province shall before the Lieutenant Governor of the Province or some Person authorized by him, the Oath of Allegiance contained in the Fifth Schedule to the Act.
Sister Rosetta Tharpe was also recording shouting, stomping music in the 1930s and 1940s, such as " Strange Things Happening Every Day " ( 1944 ), that in some ways contained major elements of mid-1950s rock and roll.
Every channel contained 27 identification codes or addresses which could be set in the field prior to emplacement.
) Every such agreement and any such variation thereof shall be binding upon the Commonwealth and the States parties thereto notwithstanding anything contained in this Constitution or the Constitution of the several States or in any law of the Parliament of the Commonwealth or of any State.
Every object is contained by exactly one target.
Section 12 ( 2 ) of Chapter 5 of the Constitution of Ghana provides that, " Every person in Ghana, whatever his race, place of origin, political opinion, colour, religion, creed or gender shall be entitled to the fundamental human rights and freedoms of the individual contained in this Chapter but subject to respect for the rights and freedoms of others and for the public interest.
Every show also contained a viewer segment, and a music segment-often produced by the program itself.
Produced by Big Sugar's Gordie Johnson, the album contained the singles " Every Inambition ", " Not Ready to Go ", " Tired of Waiting ", " Fleeting Trust " and " Confessions ".
: Every issue contained a demo disc with both Xbox 360 and Xbox Live Arcade games.
Every episode contained gratuitous use of the word " butt ".

Every and maximal
** Zorn's lemma: Every non-empty partially ordered set in which every chain ( i. e. totally ordered subset ) has an upper bound contains at least one maximal element.
** Tukey's lemma: Every non-empty collection of finite character has a maximal element with respect to inclusion.
** Antichain principle: Every partially ordered set has a maximal antichain.
** Every unital ring other than the trivial ring contains a maximal ideal.
Every character is automatically continuous from A to C, since the kernel of a character is a maximal ideal, which is closed.
* Every cofinal subset of a partially ordered set must contain all maximal elements of that set.
Every simple R-module is isomorphic to a quotient R / m where m is a maximal right ideal of R. By the above paragraph, any quotient R / m is a simple module.
* Krull's theorem ( 1929 ): Every ring with a multiplicative identity has a maximal ideal.
Every prime ideal P in a Boolean ring R is maximal: the quotient ring R / P is an integral domain and also a Boolean ring, so it is isomorphic to the field F < sub > 2 </ sub >, which shows the maximality of P. Since maximal ideals are always prime, prime ideals and maximal ideals coincide in Boolean rings.
* Every non-empty set of left ideals of R, partially ordered by inclusion, has a maximal element with respect to set inclusion.
Every maximal outerplanar graph satisfies a stronger condition than Hamiltonicity: it is node pancyclic, meaning that for every vertex v and every k in the range from three to the number of vertices in the graph, there is a length-k cycle containing v. A cycle of this length may be found by repeatedly removing a triangle that is connected to the rest of the graph by a single edge, such that the removed vertex is not v, until the outer face of the remaining graph has length k.
Every maximal outerplanar graph with n vertices has exactly 2n − 3 edges, and every bounded face of a maximal outerplanar graph is a triangle.
Every maximal outerplanar graph is the visibility graph of a simple polygon.
We call a field E a splitting field for A if A ⊗ E is isomorphic to a matrix ring over E. Every finite dimensional CSA has a splitting field: indeed, in the case when A is a division algebra, then a maximal subfield of A is a splitting field.
Every graph contains at most 3 < sup > n / 3 </ sup > maximal independent sets, but many graphs have far fewer.
Every perfect matching is maximum and hence maximal.
* Every localization of R at a maximal ideal is a field

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