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Page "Category theory" ¶ 39
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Every and retraction
Every section is a monomorphism, and every retraction is an epimorphism.

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 epimorphism
Every epimorphism in this algebraic sense is an epimorphism in the sense of category theory, but the converse is not true in all categories.
Every morphism in a concrete category whose underlying function is surjective is an epimorphism.
* Every coequalizer is an epimorphism.
Every extremal epimorphism is regular.

Every and every
Every path from back door to barn was covered by a grape-arbor, and every yard had its fruit trees.
Every pitch in the game brought forth a howl from the enraptured audience and every fly ball the visitors dropped ( and because their right fielder was still a little fuzzy from drink, they dropped many ) called forth yelps of derision.
** 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.
* Every quadratic Bézier curve is also a cubic Bézier curve, and more generally, every degree n Bézier curve is also a degree m curve for any m > n. In detail, a degree n curve with control points P < sub > 0 </ sub >, …, P < sub > n </ sub > is equivalent ( including the parametrization ) to the degree n + 1 curve with control points P '< sub > 0 </ sub >, …, P '< sub > n + 1 </ sub >, where.
* Every unital real Banach algebra with no zero divisors, and in which every principal ideal is closed, is isomorphic to the reals, the complexes, or the quaternions.
Every cleric in Holy Orders and every member of a religious order must publicly join in or privately read aloud ( i. e. using the lips as well as the eyes — it takes about two hours in this way ) the whole of the Breviary services allotted for each day.
Every regular language is context-free, every context-free language, not containing the empty string, is context-sensitive and every context-sensitive language is recursive and every recursive language is recursively enumerable.
Every grammar in Chomsky normal form is context-free, and conversely, every context-free grammar can be transformed into an equivalent one which is in Chomsky normal form.
Every corporation, whether financial or union, as well as every division of the administration, were set up as branches of the party, the CEOs, Union leaders, and division directors being sworn-in as section presidents of the party.
Every gun that is made, every warship launched, every rocket fired signifies, in the final sense, a theft from those who hunger and are not fed, those who are cold and are not clothed.
Every mental phenomenon, every psychological act, has a content, is directed at an object ( the intentional object ).
Every step had been carefully planned, every calculation meticulously done.
" More immediately, though, he called for a massive build-up of U. S. arms production: " Every realist knows that the democratic way of life is at this moment being ' directly assailed in every part of the world … The need of the moment is that our actions and our policy should be devoted primarily — almost exclusively — to meeting this foreign peril.
Every continuous map f: X → Y induces an algebra homomorphism C ( f ): C ( Y ) → C ( X ) by the rule C ( f )( φ ) = φ o f for every φ in C ( Y ).
Every galaxy of sufficient mass in the Local Group has an associated group of globular clusters, and almost every large galaxy surveyed has been found to possess a system of globular clusters.
Every valley, every cliff, to my look is beautiful.
Every seminorm on V ( in particular, every norm on V ) is sublinear.
Every little change in every little property would mean the whole thing is destroyed.

Every and section
Every instrumental group ( or section ) has a principal who is generally responsible for leading the group and playing orchestral solos.
Every three months, it publishes a " Technology Quarterly ," a special section focusing on recent trends and developments in science and technology.
Every first Friday of the month, a trolley travels around Washington Street at different cafes and shops as artists showcase different pieces and may include auctions. This neighboorhod is scattered with urban blight ( within the residential section, from Caroll St east to the Brandywine Highway ).
Every significant section of roadway maintained by the state is assigned a number, officially State Highway Route X but commonly called Route X by the NJDOT and the general public.
Every second weekend in September, Louisa hosts the regional Septemberfest that features several local and national acts performing for three days, as well as the huge arts and crafts section on the northwestern side of town and the many food vendors featuring Southeastern cuisine.
Every case in which a court discovers a violation of the Charter would therefore require a section 1 analysis to determine if the law can still be upheld.
Every person who contravenes section 20, section 21, or section 22 commits an offense and is liable on conviction on indictment to imprisonment for a term not exceeding 7 years.
Every accused person in Canada has the right to be informed of their rights and what they are being charged of, according to the legal rights of the Arrest and Detention section of the Charter of Rights and Freedoms.
Every spring a controlled burn is performed in the prairie section of the nature center in order to restore and perpetuate the native prairie ecosystem.
:" 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.
Every two years, the MSHSL determines a school's activity classification and section placement.
Every citizen who has the right to vote at an election for members of Dáil Éireann and such other persons as may be determined by law shall have the right to vote at an election for members of such of the local authorities referred to in section 2 of this Article as shall be determined by law.
Every issue also has a cover CD and a ' Metal In China ' section which promotes and introduces bands on the local Chinese heavy metal scene in which several city scenes are presented and Chinese heavy metal is explained including its function as a ' rebellion of denial ' due to the new sound movement.
On January 8, 2008, John Davis announced on the Superdrag news section that the band is reunited indefinitely, stating that " Superdrag's original line-up will reconvene in the recording studio in February to begin work on our first new recording project together since 1998's Head Trip In Every Key.
Every version of the game was programmed by Graham Blighe and produced by Peter Calver, with graphics created by Andrew Calver, and playtesting by Jeremy Wellard ; the strategy section was coded by Michael McLean ( in later versions Terry Wiley ).
Every alternate year the sports section prepares an annual day function.
For example, in the section on tools in Every Man his own Mechanic ( 1881 ) ( 816pp ), tenon, dovetail and sash saws are listed as a group but there is no mention of a gent's saw.
Every finite p-group can be expressed as a section of a powerful p-group.
Every line must therefore be a section head, a property, or a comment.
Every section is divided into detachment of four men.

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